{
  "schema_version": 2,
  "adapter_key": "grpo-difficulty-curriculum",
  "manifest_ref": "reproduction:grpo-difficulty-curriculum",
  "method": "grpo-difficulty-curriculum",
  "measured_locally": true,
  "diagnostic_only": true,
  "promotion_eligible": false,
  "not_gpu_receipt": true,
  "seeds": [
    42,
    43,
    44
  ],
  "actual_cuda_run_count": 15,
  "execution_complete": true,
  "all_seed_arm_mechanisms_or_negative_controls_accepted": true,
  "whole_method_gpu_validation_passed": true,
  "default_three_seed_plan_completed": true,
  "seed_results": [
    {
      "seed": 42,
      "device": "cuda",
      "diagnostic_only": true,
      "variants": {
        "fixed-medium": {
          "method": "grpo-difficulty-curriculum",
          "seed": 42,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1409,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -2.2351741790771484e-08,
                  "gradient_l2_norm": 0.16067364811897278,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1431,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.17742520570755005,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.000545695424079895,
                  "gradient_l2_norm": 0.16647948324680328,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1316,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": -2.9802322387695312e-08,
                  "gradient_l2_norm": 0.15451529622077942,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -0.0021705925464630127,
                  "gradient_l2_norm": 0.150689035654068,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1353,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": -2.2351741790771484e-08,
                  "gradient_l2_norm": 0.17810259759426117,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0004472807049751282,
                  "gradient_l2_norm": 0.19432415068149567,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1409,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8250,
              "student": 70009
            },
            "scored_response_tokens": {
              "behavior": 70009,
              "student_rl": 13880
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "fixed-medium",
          "difficulty_history": [
            [
              1.0,
              0.125,
              0.0,
              0.5,
              0.0,
              0.875,
              0.0,
              0.125
            ],
            [
              0.875,
              0.375,
              0.125,
              0.625,
              0.125,
              1.0,
              0.0,
              0.125
            ],
            [
              1.0,
              0.375,
              0.0,
              0.375,
              0.0,
              0.875,
              0.125,
              0.125
            ],
            [
              0.75,
              0.625,
              0.125,
              0.75,
              0.125,
              0.5,
              0.0,
              0.125
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.5,
              0.125,
              0.375,
              0.125,
              0.5,
              0.125,
              0.0
            ],
            "total_variation": [
              0.5,
              0.5,
              0.375,
              0.75,
              0.375,
              0.625,
              0.25,
              0.0
            ],
            "extra_round_trip_variation": [
              0.25,
              0.0,
              0.25,
              0.375,
              0.25,
              0.125,
              0.125,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "staged": {
          "method": "grpo-difficulty-curriculum",
          "seed": 42,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.0,
            "examples": 4,
            "generated_tokens": 1597,
            "truncated_responses": 1
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": -3.725290298461914e-09,
                  "gradient_l2_norm": 0.11954058706760406,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1508,
                "truncated_responses": 0
              },
              "transition": "new-best",
              "effective_updates": 1
            },
            {
              "step": 2,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.16927285492420197,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    -1.7320468425750732
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.00010900944471359253,
                  "gradient_l2_norm": 0.15238478779792786,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.25
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1199,
                "truncated_responses": 0
              },
              "transition": "keep",
              "effective_updates": 2
            },
            {
              "step": 3,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.16443920135498047,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0010845735669136047,
                  "gradient_l2_norm": 0.19610214233398438,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.000712469220161438,
                  "gradient_l2_norm": 0.16621491312980652,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0016031339764595032,
                  "gradient_l2_norm": 0.21787437796592712,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1521,
                "truncated_responses": 1
              },
              "transition": "advance",
              "effective_updates": 4
            },
            {
              "step": 4,
              "band": [
                0.5,
                0.75
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.19066661596298218,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0001943632960319519,
                  "gradient_l2_norm": 0.14625507593154907,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0008660480380058289,
                  "gradient_l2_norm": 0.1390981376171112,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.0,
                "examples": 4,
                "generated_tokens": 1597,
                "truncated_responses": 1
              },
              "transition": "new-best",
              "effective_updates": 3
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8754,
              "student": 74288
            },
            "scored_response_tokens": {
              "behavior": 74288,
              "student_rl": 19984
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "staged",
          "difficulty_history": [
            [
              1.0,
              0.125,
              0.0,
              0.5,
              0.0,
              0.875,
              0.0,
              0.125
            ],
            [
              0.75,
              0.5,
              0.125,
              0.25,
              0.0,
              0.75,
              0.0,
              0.25
            ],
            [
              0.875,
              0.625,
              0.125,
              0.625,
              0.0,
              0.75,
              0.0,
              0.0
            ],
            [
              0.75,
              0.375,
              0.125,
              0.5,
              0.125,
              0.625,
              0.125,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.5,
              0.125,
              0.375,
              0.125,
              0.25,
              0.125,
              0.25
            ],
            "total_variation": [
              0.5,
              0.75,
              0.125,
              0.75,
              0.125,
              0.25,
              0.125,
              0.375
            ],
            "extra_round_trip_variation": [
              0.25,
              0.25,
              0.0,
              0.375,
              0.0,
              0.0,
              0.0,
              0.125
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "static": {
          "method": "grpo-difficulty-curriculum",
          "seed": 42,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1631,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 1.0,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": -3.725290298461914e-09,
                  "gradient_l2_norm": 0.11954058706760406,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1508,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 7.450580596923828e-09,
                  "gradient_l2_norm": 0.1844378262758255,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.002510286867618561,
                  "gradient_l2_norm": 0.13175512850284576,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.25
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1431,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 1.4901161193847656e-08,
                  "gradient_l2_norm": 0.18624506890773773,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    1.7320468425750732
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1631,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1631,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 0
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 9164,
              "student": 74639
            },
            "scored_response_tokens": {
              "behavior": 74639,
              "student_rl": 9616
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "static",
          "difficulty_history": [
            [
              1.0,
              0.125,
              0.0,
              0.5,
              0.0,
              0.875,
              0.0,
              0.125
            ],
            [
              0.75,
              0.5,
              0.125,
              0.25,
              0.0,
              0.75,
              0.0,
              0.25
            ],
            [
              0.875,
              0.125,
              0.25,
              0.625,
              0.0,
              0.875,
              0.125,
              0.0
            ],
            [
              0.875,
              0.375,
              0.375,
              0.625,
              0.0,
              0.75,
              0.0,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.375,
              0.375,
              0.375,
              0.0,
              0.125,
              0.125,
              0.25
            ],
            "total_variation": [
              0.375,
              1.0,
              0.375,
              0.625,
              0.0,
              0.375,
              0.25,
              0.375
            ],
            "extra_round_trip_variation": [
              0.125,
              0.625,
              0.0,
              0.25,
              0.0,
              0.25,
              0.125,
              0.125
            ]
          },
          "initial_static_easy_to_hard_order": [
            0,
            5,
            3,
            1,
            7,
            2,
            4,
            6
          ],
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "too-hard": {
          "method": "grpo-difficulty-curriculum",
          "seed": 42,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1406,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -3.725290298461914e-09,
                  "gradient_l2_norm": 0.14079557359218597,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -0.000309772789478302,
                  "gradient_l2_norm": 0.14203859865665436,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1639,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 2,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.16137294471263885,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0012478604912757874,
                  "gradient_l2_norm": 0.1772703230381012,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.7320468425750732,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0015418380498886108,
                  "gradient_l2_norm": 0.17813342809677124,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0006144344806671143,
                  "gradient_l2_norm": 0.14178799092769623,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.7320468425750732,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1551,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 4
            },
            {
              "step": 3,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -2.2351741790771484e-08,
                  "gradient_l2_norm": 0.17610740661621094,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.000734969973564148,
                  "gradient_l2_norm": 0.16925451159477234,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.00034995004534721375,
                  "gradient_l2_norm": 0.14391998946666718,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1457,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 3
            },
            {
              "step": 4,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.15005114674568176,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1406,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8791,
              "student": 74204
            },
            "scored_response_tokens": {
              "behavior": 74204,
              "student_rl": 23930
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "too-hard",
          "difficulty_history": [
            [
              1.0,
              0.125,
              0.0,
              0.5,
              0.0,
              0.875,
              0.0,
              0.125
            ],
            [
              0.75,
              0.25,
              0.25,
              0.375,
              0.25,
              1.0,
              0.0,
              0.0
            ],
            [
              1.0,
              0.5,
              0.25,
              0.375,
              0.125,
              0.875,
              0.0,
              0.0
            ],
            [
              0.875,
              0.625,
              0.125,
              0.5,
              0.0,
              0.625,
              0.0,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.5,
              0.25,
              0.125,
              0.25,
              0.375,
              0.0,
              0.125
            ],
            "total_variation": [
              0.625,
              0.5,
              0.375,
              0.25,
              0.5,
              0.5,
              0.0,
              0.125
            ],
            "extra_round_trip_variation": [
              0.375,
              0.0,
              0.125,
              0.125,
              0.25,
              0.125,
              0.0,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "unfiltered": {
          "method": "grpo-difficulty-curriculum",
          "seed": 42,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1495,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 1.0,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -3.725290298461914e-09,
                  "gradient_l2_norm": 0.14079557359218597,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0005620643496513367,
                  "gradient_l2_norm": 0.15811462700366974,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0006006360054016113,
                  "gradient_l2_norm": 0.12308721989393234,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -0.0007472187280654907,
                  "gradient_l2_norm": 0.13807804882526398,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.75,
                "examples": 4,
                "generated_tokens": 1354,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 4
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.13981814682483673,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.001870371401309967,
                  "gradient_l2_norm": 0.18133896589279175,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.001228034496307373,
                  "gradient_l2_norm": 0.14652015268802643,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0009716004133224487,
                  "gradient_l2_norm": 0.15301290154457092,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0008800923824310303,
                  "gradient_l2_norm": 0.15924488008022308,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1366,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 5
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 1.862645149230957e-08,
                  "gradient_l2_norm": 0.14576801657676697,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0009983032941818237,
                  "gradient_l2_norm": 0.1611718088388443,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0007110275328159332,
                  "gradient_l2_norm": 0.14535246789455414,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": -0.00023868680000305176,
                  "gradient_l2_norm": 0.16780060529708862,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.00010679289698600769,
                  "gradient_l2_norm": 0.14936576783657074,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0007155090570449829,
                  "gradient_l2_norm": 0.12598055601119995,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1535,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 6
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.21273058652877808,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0006969347596168518,
                  "gradient_l2_norm": 0.17742937803268433,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0008446797728538513,
                  "gradient_l2_norm": 0.16580937802791595,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": -0.004366964101791382,
                  "gradient_l2_norm": 0.3042769432067871,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.0,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.9932640194892883,
                    -0.8986674547195435,
                    -1.277053713798523,
                    0.9932640194892883,
                    -0.8986674547195435,
                    -0.8986674547195435,
                    0.9932640194892883,
                    0.9932640194892883
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1495,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 4
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8577,
              "student": 73099
            },
            "scored_response_tokens": {
              "behavior": 73099,
              "student_rl": 41232
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "unfiltered",
          "difficulty_history": [
            [
              1.0,
              0.125,
              0.0,
              0.5,
              0.0,
              0.875,
              0.0,
              0.125
            ],
            [
              0.875,
              0.75,
              0.0,
              0.125,
              0.125,
              0.625,
              0.0,
              0.0
            ],
            [
              0.875,
              0.5,
              0.125,
              0.625,
              0.0,
              0.875,
              0.125,
              0.0
            ],
            [
              0.625,
              0.375,
              0.0,
              0.75,
              0.0,
              0.5,
              0.0,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.375,
              0.625,
              0.125,
              0.625,
              0.125,
              0.375,
              0.125,
              0.125
            ],
            "total_variation": [
              0.375,
              1.0,
              0.25,
              1.0,
              0.25,
              0.875,
              0.25,
              0.125
            ],
            "extra_round_trip_variation": [
              0.0,
              0.375,
              0.125,
              0.375,
              0.125,
              0.5,
              0.125,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        }
      }
    },
    {
      "seed": 43,
      "device": "cuda",
      "diagnostic_only": true,
      "variants": {
        "fixed-medium": {
          "method": "grpo-difficulty-curriculum",
          "seed": 43,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1489,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.19137264788150787,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0009858757257461548,
                  "gradient_l2_norm": 0.16644123196601868,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1522,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.17128634452819824,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0003101825714111328,
                  "gradient_l2_norm": 0.13456909358501434,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1669,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 1.4901161193847656e-08,
                  "gradient_l2_norm": 0.14805005490779877,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.003036320209503174,
                  "gradient_l2_norm": 0.6054434776306152,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.0,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.7697988748550415,
                    0.7697988748550415,
                    -1.539597749710083,
                    0.7697988748550415,
                    0.7697988748550415,
                    0.7697988748550415,
                    -1.154698371887207,
                    -1.154698371887207
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1487,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 2.9802322387695312e-08,
                  "gradient_l2_norm": 0.17466998100280762,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": -0.0004735589027404785,
                  "gradient_l2_norm": 0.1555124968290329,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1489,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8988,
              "student": 75998
            },
            "scored_response_tokens": {
              "behavior": 75998,
              "student_rl": 17576
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "fixed-medium",
          "difficulty_history": [
            [
              0.75,
              0.25,
              0.5,
              0.5,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.75,
              0.5,
              0.25,
              0.5,
              0.0,
              0.75,
              0.0,
              0.125
            ],
            [
              1.0,
              0.125,
              0.25,
              0.625,
              0.0,
              0.625,
              0.125,
              0.125
            ],
            [
              1.0,
              0.5,
              0.125,
              0.375,
              0.25,
              0.75,
              0.0,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.375,
              0.375,
              0.25,
              0.25,
              0.125,
              0.125,
              0.125
            ],
            "total_variation": [
              0.25,
              1.0,
              0.375,
              0.375,
              0.375,
              0.25,
              0.25,
              0.25
            ],
            "extra_round_trip_variation": [
              0.0,
              0.625,
              0.0,
              0.125,
              0.125,
              0.125,
              0.125,
              0.125
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "staged": {
          "method": "grpo-difficulty-curriculum",
          "seed": 43,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1361,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.21029211580753326,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0006538927555084229,
                  "gradient_l2_norm": 0.13964855670928955,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1533,
                "truncated_responses": 0
              },
              "transition": "new-best",
              "effective_updates": 2
            },
            {
              "step": 2,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": -3.725290298461914e-09,
                  "gradient_l2_norm": 0.1771099865436554,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0010784491896629333,
                  "gradient_l2_norm": 0.20091204345226288,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1375,
                "truncated_responses": 0
              },
              "transition": "keep",
              "effective_updates": 2
            },
            {
              "step": 3,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 7.450580596923828e-09,
                  "gradient_l2_norm": 0.19416001439094543,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": -0.001194547861814499,
                  "gradient_l2_norm": 0.1283445805311203,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1546,
                "truncated_responses": 0
              },
              "transition": "advance",
              "effective_updates": 2
            },
            {
              "step": 4,
              "band": [
                0.5,
                0.75
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 7.450580596923828e-09,
                  "gradient_l2_norm": 0.16924527287483215,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0017559528350830078,
                  "gradient_l2_norm": 0.1759641468524933,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0008786693215370178,
                  "gradient_l2_norm": 0.16480566561222076,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1361,
                "truncated_responses": 0
              },
              "transition": "new-best",
              "effective_updates": 3
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8508,
              "student": 75379
            },
            "scored_response_tokens": {
              "behavior": 75379,
              "student_rl": 18743
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "staged",
          "difficulty_history": [
            [
              0.75,
              0.25,
              0.5,
              0.5,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.375,
              0.0,
              0.875,
              0.125,
              0.5,
              0.125,
              0.125
            ],
            [
              1.0,
              0.25,
              0.125,
              0.625,
              0.125,
              0.875,
              0.0,
              0.0
            ],
            [
              0.875,
              0.5,
              0.125,
              0.625,
              0.125,
              0.75,
              0.0,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.25,
              0.5,
              0.375,
              0.0,
              0.375,
              0.125,
              0.125
            ],
            "total_variation": [
              0.375,
              0.5,
              0.625,
              0.625,
              0.0,
              0.75,
              0.25,
              0.25
            ],
            "extra_round_trip_variation": [
              0.125,
              0.25,
              0.125,
              0.25,
              0.0,
              0.375,
              0.125,
              0.125
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "static": {
          "method": "grpo-difficulty-curriculum",
          "seed": 43,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1496,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.21029211580753326,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0006538927555084229,
                  "gradient_l2_norm": 0.13964855670928955,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1533,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.1941450536251068,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1512,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": -1.4901161193847656e-08,
                  "gradient_l2_norm": 0.16990217566490173,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.125
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1538,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.17390115559101105,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0004882924258708954,
                  "gradient_l2_norm": 0.13167545199394226,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1496,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8907,
              "student": 75594
            },
            "scored_response_tokens": {
              "behavior": 75594,
              "student_rl": 14595
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "static",
          "difficulty_history": [
            [
              0.75,
              0.25,
              0.5,
              0.5,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.375,
              0.0,
              0.875,
              0.125,
              0.5,
              0.125,
              0.125
            ],
            [
              1.0,
              0.375,
              0.125,
              0.625,
              0.0,
              1.0,
              0.125,
              0.125
            ],
            [
              0.875,
              0.625,
              0.375,
              0.5,
              0.0,
              0.75,
              0.125,
              0.125
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.375,
              0.5,
              0.375,
              0.125,
              0.5,
              0.125,
              0.125
            ],
            "total_variation": [
              0.375,
              0.375,
              0.875,
              0.75,
              0.125,
              1.0,
              0.125,
              0.125
            ],
            "extra_round_trip_variation": [
              0.125,
              0.0,
              0.375,
              0.375,
              0.0,
              0.5,
              0.0,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": [
            0,
            5,
            2,
            3,
            1,
            4,
            6,
            7
          ],
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "too-hard": {
          "method": "grpo-difficulty-curriculum",
          "seed": 43,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1524,
            "truncated_responses": 1
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -1.4901161193847656e-08,
                  "gradient_l2_norm": 0.16526220738887787,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -0.00039048120379447937,
                  "gradient_l2_norm": 0.1660120189189911,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1233,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 2,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.1514921486377716,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.75,
                "examples": 4,
                "generated_tokens": 1460,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 3,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.75,
                "examples": 4,
                "generated_tokens": 1460,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 0
            },
            {
              "step": 4,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.17602385580539703,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0027965866029262543,
                  "gradient_l2_norm": 0.2077626883983612,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.0,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.2886742949485779,
                    -0.8660228848457336,
                    2.5980687141418457,
                    -0.2886742949485779,
                    -0.2886742949485779,
                    -0.2886742949485779,
                    -0.2886742949485779,
                    -0.2886742949485779
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0005997270345687866,
                  "gradient_l2_norm": 0.17210617661476135,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0006318092346191406,
                  "gradient_l2_norm": 0.17092061042785645,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1524,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 4
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8533,
              "student": 73796
            },
            "scored_response_tokens": {
              "behavior": 73796,
              "student_rl": 16620
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "too-hard",
          "difficulty_history": [
            [
              0.75,
              0.25,
              0.5,
              0.5,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.5,
              0.125,
              0.625,
              0.0,
              0.75,
              0.0,
              0.0
            ],
            [
              1.0,
              0.625,
              0.5,
              0.5,
              0.0,
              1.0,
              0.0,
              0.0
            ],
            [
              0.625,
              0.375,
              0.125,
              0.25,
              0.0,
              0.75,
              0.125,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.375,
              0.375,
              0.375,
              0.375,
              0.125,
              0.25,
              0.125,
              0.0
            ],
            "total_variation": [
              0.625,
              0.625,
              1.125,
              0.5,
              0.125,
              0.5,
              0.125,
              0.0
            ],
            "extra_round_trip_variation": [
              0.25,
              0.25,
              0.75,
              0.125,
              0.0,
              0.25,
              0.0,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "unfiltered": {
          "method": "grpo-difficulty-curriculum",
          "seed": 43,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1353,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.21029211580753326,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0016159191727638245,
                  "gradient_l2_norm": 0.16332122683525085,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0014016702771186829,
                  "gradient_l2_norm": 0.19165532290935516,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0017340034246444702,
                  "gradient_l2_norm": 0.18799102306365967,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -0.0004289001226425171,
                  "gradient_l2_norm": 0.16215303540229797,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0003112107515335083,
                  "gradient_l2_norm": 0.14815963804721832,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1356,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 6
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 3.725290298461914e-09,
                  "gradient_l2_norm": 0.14475379884243011,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0010508820414543152,
                  "gradient_l2_norm": 0.18245378136634827,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.00011548399925231934,
                  "gradient_l2_norm": 0.14699749648571014,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0007837265729904175,
                  "gradient_l2_norm": 0.15821406245231628,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": -0.00015047192573547363,
                  "gradient_l2_norm": 0.1654481440782547,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1424,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 5
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 1.0,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.1733408421278,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    1.7320468425750732,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0007157251238822937,
                  "gradient_l2_norm": 0.5526610612869263,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0003365352749824524,
                  "gradient_l2_norm": 0.15619783103466034,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": -0.0005653202533721924,
                  "gradient_l2_norm": 0.15326756238937378,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.00017213821411132812,
                  "gradient_l2_norm": 0.15466849505901337,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.75,
                "examples": 4,
                "generated_tokens": 1600,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 5
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 7.450580596923828e-09,
                  "gradient_l2_norm": 0.19009071588516235,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -0.00018861517310142517,
                  "gradient_l2_norm": 0.13179272413253784,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0004029311239719391,
                  "gradient_l2_norm": 0.14190854132175446,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": -0.0009687170386314392,
                  "gradient_l2_norm": 0.19252340495586395,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0013948827981948853,
                  "gradient_l2_norm": 0.1810312420129776,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    -1.7320468425750732,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -0.001209937036037445,
                  "gradient_l2_norm": 0.1682882457971573,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1353,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 6
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8418,
              "student": 76241
            },
            "scored_response_tokens": {
              "behavior": 76241,
              "student_rl": 50002
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "unfiltered",
          "difficulty_history": [
            [
              0.75,
              0.25,
              0.5,
              0.5,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.375,
              0.25,
              0.5,
              0.0,
              0.75,
              0.0,
              0.0
            ],
            [
              1.0,
              0.25,
              0.25,
              0.5,
              0.0,
              0.75,
              0.25,
              0.0
            ],
            [
              0.75,
              0.125,
              0.125,
              0.625,
              0.0,
              0.75,
              0.25,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.25,
              0.25,
              0.375,
              0.125,
              0.125,
              0.0,
              0.25,
              0.0
            ],
            "total_variation": [
              0.5,
              0.375,
              0.375,
              0.125,
              0.125,
              0.0,
              0.25,
              0.0
            ],
            "extra_round_trip_variation": [
              0.25,
              0.125,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        }
      }
    },
    {
      "seed": 44,
      "device": "cuda",
      "diagnostic_only": true,
      "variants": {
        "fixed-medium": {
          "method": "grpo-difficulty-curriculum",
          "seed": 44,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1369,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 1.4901161193847656e-08,
                  "gradient_l2_norm": 0.13831821084022522,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1456,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 4.470348358154297e-08,
                  "gradient_l2_norm": 0.1652008593082428,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1269,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": -1.4901161193847656e-08,
                  "gradient_l2_norm": 0.15434415638446808,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1417,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": -1.4901161193847656e-08,
                  "gradient_l2_norm": 0.2216559499502182,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.25
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1369,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8212,
              "student": 73434
            },
            "scored_response_tokens": {
              "behavior": 73434,
              "student_rl": 8774
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "fixed-medium",
          "difficulty_history": [
            [
              0.875,
              0.375,
              0.25,
              0.75,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.375,
              0.125,
              0.125,
              0.25,
              0.75,
              0.25,
              0.0
            ],
            [
              0.875,
              0.25,
              0.125,
              0.5,
              0.0,
              1.0,
              0.0,
              0.0
            ],
            [
              0.875,
              0.75,
              0.0,
              0.625,
              0.125,
              1.0,
              0.0,
              0.25
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.0,
              0.5,
              0.25,
              0.625,
              0.25,
              0.25,
              0.25,
              0.25
            ],
            "total_variation": [
              0.0,
              0.625,
              0.25,
              1.125,
              0.5,
              0.25,
              0.5,
              0.25
            ],
            "extra_round_trip_variation": [
              0.0,
              0.125,
              0.0,
              0.5,
              0.25,
              0.0,
              0.25,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "staged": {
          "method": "grpo-difficulty-curriculum",
          "seed": 44,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1383,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.1826382428407669,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0016562342643737793,
                  "gradient_l2_norm": 0.1566203087568283,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -0.0011830627918243408,
                  "gradient_l2_norm": 0.13673582673072815,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1383,
                "truncated_responses": 0
              },
              "transition": "new-best",
              "effective_updates": 3
            },
            {
              "step": 2,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.34789571166038513,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0020799487829208374,
                  "gradient_l2_norm": 0.18106399476528168,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1471,
                "truncated_responses": 0
              },
              "transition": "keep",
              "effective_updates": 2
            },
            {
              "step": 3,
              "band": [
                0.625,
                0.875
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 1.1175870895385742e-08,
                  "gradient_l2_norm": 0.18197466433048248,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": -0.000806860625743866,
                  "gradient_l2_norm": 0.13967664539813995,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1570,
                "truncated_responses": 1
              },
              "transition": "advance",
              "effective_updates": 2
            },
            {
              "step": 4,
              "band": [
                0.5,
                0.75
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1383,
                "truncated_responses": 0
              },
              "transition": "no-effective-updates",
              "effective_updates": 0
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8522,
              "student": 74800
            },
            "scored_response_tokens": {
              "behavior": 74800,
              "student_rl": 14252
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "staged",
          "difficulty_history": [
            [
              0.875,
              0.375,
              0.25,
              0.75,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.375,
              0.125,
              0.5,
              0.125,
              0.75,
              0.125,
              0.0
            ],
            [
              0.875,
              0.25,
              0.125,
              0.625,
              0.25,
              1.0,
              0.0,
              0.0
            ],
            [
              1.0,
              0.375,
              0.125,
              0.375,
              0.125,
              1.0,
              0.0,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.125,
              0.125,
              0.125,
              0.375,
              0.125,
              0.25,
              0.125,
              0.0
            ],
            "total_variation": [
              0.125,
              0.25,
              0.125,
              0.625,
              0.25,
              0.25,
              0.25,
              0.0
            ],
            "extra_round_trip_variation": [
              0.0,
              0.125,
              0.0,
              0.25,
              0.125,
              0.0,
              0.125,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "static": {
          "method": "grpo-difficulty-curriculum",
          "seed": 44,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1310,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.1826382428407669,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.375
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0016562342643737793,
                  "gradient_l2_norm": 0.1566203087568283,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.75,
                "examples": 4,
                "generated_tokens": 1471,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.15844206511974335,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0021607503294944763,
                  "gradient_l2_norm": 0.17329858243465424,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1633,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -2.60770320892334e-08,
                  "gradient_l2_norm": 0.17747393250465393,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0005359947681427002,
                  "gradient_l2_norm": 0.14197126030921936,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.75,
                "examples": 4,
                "generated_tokens": 1563,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 2,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.25
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.125
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -2.9802322387695312e-08,
                  "gradient_l2_norm": 0.16588783264160156,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1310,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8619,
              "student": 72820
            },
            "scored_response_tokens": {
              "behavior": 72820,
              "student_rl": 15398
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "static",
          "difficulty_history": [
            [
              0.875,
              0.375,
              0.25,
              0.75,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              1.0,
              0.25,
              0.125,
              0.5,
              0.0,
              0.75,
              0.125,
              0.0
            ],
            [
              0.875,
              0.75,
              0.125,
              0.5,
              0.25,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.5,
              0.0,
              0.25,
              0.125,
              1.0,
              0.0,
              0.125
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.125,
              0.5,
              0.25,
              0.5,
              0.25,
              0.25,
              0.125,
              0.125
            ],
            "total_variation": [
              0.25,
              0.875,
              0.25,
              0.5,
              0.5,
              0.25,
              0.25,
              0.125
            ],
            "extra_round_trip_variation": [
              0.125,
              0.375,
              0.0,
              0.0,
              0.25,
              0.0,
              0.125,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": [
            0,
            3,
            5,
            1,
            2,
            4,
            6,
            7
          ],
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "too-hard": {
          "method": "grpo-difficulty-curriculum",
          "seed": 44,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1550,
            "truncated_responses": 1
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 1.4901161193847656e-08,
                  "gradient_l2_norm": 0.13831821084022522,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0009204447269439697,
                  "gradient_l2_norm": 0.16590556502342224,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.000863734632730484,
                  "gradient_l2_norm": 0.12472493201494217,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1766,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 3
            },
            {
              "step": 2,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.19227898120880127,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.5
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1524,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 1
            },
            {
              "step": 3,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -1.4901161193847656e-08,
                  "gradient_l2_norm": 0.16933807730674744,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0015721023082733154,
                  "gradient_l2_norm": 0.15421536564826965,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 1.0
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.25,
                "examples": 4,
                "generated_tokens": 1378,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 2
            },
            {
              "step": 4,
              "band": [
                0.125,
                0.375
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": false,
                  "current_success": 0.875
                },
                {
                  "training_row": 1,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.15359120070934296,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": false,
                  "current_success": 0.625
                },
                {
                  "training_row": 4,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 5,
                  "eligible": false,
                  "current_success": 0.75
                },
                {
                  "training_row": 6,
                  "eligible": false,
                  "current_success": 0.0
                },
                {
                  "training_row": 7,
                  "eligible": false,
                  "current_success": 0.0
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1550,
                "truncated_responses": 1
              },
              "transition": "not-staged",
              "effective_updates": 1
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 9100,
              "student": 72857
            },
            "scored_response_tokens": {
              "behavior": 72857,
              "student_rl": 17190
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "too-hard",
          "difficulty_history": [
            [
              0.875,
              0.375,
              0.25,
              0.75,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.625,
              0.25,
              0.5,
              0.0,
              1.0,
              0.0,
              0.0
            ],
            [
              0.75,
              0.375,
              0.25,
              0.625,
              0.0,
              1.0,
              0.0,
              0.0
            ],
            [
              0.875,
              0.625,
              0.375,
              0.625,
              0.0,
              0.75,
              0.0,
              0.0
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.125,
              0.25,
              0.125,
              0.25,
              0.125,
              0.25,
              0.0,
              0.0
            ],
            "total_variation": [
              0.25,
              0.75,
              0.125,
              0.375,
              0.125,
              0.5,
              0.0,
              0.0
            ],
            "extra_round_trip_variation": [
              0.125,
              0.5,
              0.0,
              0.125,
              0.0,
              0.25,
              0.0,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        },
        "unfiltered": {
          "method": "grpo-difficulty-curriculum",
          "seed": 44,
          "device": "cuda",
          "diagnostic_only": true,
          "promotion_eligible": false,
          "evaluation_tier": "l1_mechanism",
          "dataset": {
            "verified": true,
            "test_read": false,
            "source_id": "openai/grade-school-math",
            "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
            "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
            "partition_sha256": {
              "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
              "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
            },
            "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
          },
          "checkpoint": {
            "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
            "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
            "verified_mirror": {
              "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
              "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
              "file_sha256": {
                "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
                "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
                "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
                "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
                "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
                "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
                "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
              }
            }
          },
          "baseline": {
            "accuracy": 0.25,
            "examples": 4,
            "generated_tokens": 1332,
            "truncated_responses": 0
          },
          "method_metrics": {
            "accuracy": 0.5,
            "examples": 4,
            "generated_tokens": 1308,
            "truncated_responses": 0
          },
          "training": [
            {
              "step": 1,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0,
                  "gradient_l2_norm": 0.1826382428407669,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.001038283109664917,
                  "gradient_l2_norm": 0.1318325251340866,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.25,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.0006513670086860657,
                  "gradient_l2_norm": 0.15832626819610596,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    1.7320468425750732,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    -0.5773489475250244,
                    1.7320468425750732,
                    -0.5773489475250244
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0011982470750808716,
                  "gradient_l2_norm": 0.15507328510284424,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0003406256437301636,
                  "gradient_l2_norm": 0.12433010339736938,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": -0.0005710572004318237,
                  "gradient_l2_norm": 0.1346355676651001,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.75,
                "examples": 4,
                "generated_tokens": 1491,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 6
            },
            {
              "step": 2,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.875,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0
                  ],
                  "loss": 3.725290298461914e-09,
                  "gradient_l2_norm": 0.33505764603614807,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    0.3779633343219757,
                    -2.6457433700561523
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0004852190613746643,
                  "gradient_l2_norm": 0.16745416820049286,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -0.00025279074907302856,
                  "gradient_l2_norm": 0.1713051199913025,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    -0.7745950818061829
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.375,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.000545307993888855,
                  "gradient_l2_norm": 0.14962179958820343,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    -0.7745950818061829,
                    1.2909917831420898,
                    1.2909917831420898,
                    -0.7745950818061829,
                    1.2909917831420898
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0001786835491657257,
                  "gradient_l2_norm": 0.12846629321575165,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.0003411918878555298,
                  "gradient_l2_norm": 0.1480056792497635,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1464,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 6
            },
            {
              "step": 3,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 1.0,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -7.450580596923828e-09,
                  "gradient_l2_norm": 0.15700997412204742,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0030484534800052643,
                  "gradient_l2_norm": 0.15841951966285706,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    1.0
                  ],
                  "loss": 0.00012655556201934814,
                  "gradient_l2_norm": 0.1552085429430008,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    1.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0005815383046865463,
                  "gradient_l2_norm": 0.18718504905700684,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.0,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    0.6493079662322998,
                    0.6493079662322998,
                    -1.7118117809295654,
                    0.6493079662322998,
                    0.17708398401737213,
                    -1.7118117809295654,
                    0.6493079662322998,
                    0.6493079662322998
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.004795640707015991,
                  "gradient_l2_norm": 2.288238525390625,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.0,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.377958744764328,
                    0.377958744764328,
                    -2.6457114219665527,
                    0.377958744764328,
                    0.377958744764328,
                    0.377958744764328,
                    0.377958744764328,
                    0.377958744764328
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": 0.001440785825252533,
                  "gradient_l2_norm": 0.16666735708713531,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1568,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 6
            },
            {
              "step": 4,
              "band": [
                0.375,
                0.625
              ],
              "groups": [
                {
                  "training_row": 0,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0
                  ],
                  "loss": -2.9802322387695312e-08,
                  "gradient_l2_norm": 0.19042925536632538,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2
                  ],
                  "advantages": [
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    -1.2909917831420898
                  ]
                },
                {
                  "training_row": 1,
                  "eligible": true,
                  "current_success": 0.5,
                  "correctness_rewards": [
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    1.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.000828765332698822,
                  "gradient_l2_norm": 0.17850220203399658,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    1.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    0.9999979734420776,
                    -0.9999979734420776,
                    -0.9999979734420776
                  ]
                },
                {
                  "training_row": 2,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 3,
                  "eligible": true,
                  "current_success": 0.625,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.0028143376111984253,
                  "gradient_l2_norm": 0.22348636388778687,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.2909917831420898,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829,
                    0.7745950818061829,
                    -1.2909917831420898,
                    0.7745950818061829,
                    0.7745950818061829
                  ]
                },
                {
                  "training_row": 4,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": -0.0008893869817256927,
                  "gradient_l2_norm": 0.16440168023109436,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                },
                {
                  "training_row": 5,
                  "eligible": true,
                  "current_success": 0.75,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    1.0,
                    0.0,
                    1.0,
                    1.0,
                    1.0,
                    1.0
                  ],
                  "loss": 0.001261599361896515,
                  "gradient_l2_norm": 0.17630229890346527,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    1.2,
                    0.2,
                    1.2,
                    1.2,
                    1.2,
                    1.2
                  ],
                  "advantages": [
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    -1.7320468425750732,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244,
                    0.5773489475250244
                  ]
                },
                {
                  "training_row": 6,
                  "eligible": true,
                  "current_success": 0.0,
                  "correctness_rewards": [
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "optimizer_update_executed": false,
                  "zero_advantage_group": true,
                  "rewards": [
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ]
                },
                {
                  "training_row": 7,
                  "eligible": true,
                  "current_success": 0.125,
                  "correctness_rewards": [
                    0.0,
                    1.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0,
                    0.0
                  ],
                  "loss": 0.0008482374250888824,
                  "gradient_l2_norm": 0.16358359158039093,
                  "optimizer_update_executed": true,
                  "zero_advantage_group": false,
                  "rewards": [
                    0.2,
                    1.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2,
                    0.2
                  ],
                  "advantages": [
                    -0.3779633343219757,
                    2.6457433700561523,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757,
                    -0.3779633343219757
                  ]
                }
              ],
              "validation_diagnostic": {
                "accuracy": 0.5,
                "examples": 4,
                "generated_tokens": 1308,
                "truncated_responses": 0
              },
              "transition": "not-staged",
              "effective_updates": 6
            }
          ],
          "cost": {
            "generation_calls": {
              "evaluation": 24,
              "student": 32
            },
            "generated_tokens": {
              "evaluation": 8471,
              "student": 75016
            },
            "scored_response_tokens": {
              "behavior": 75016,
              "student_rl": 55419
            },
            "frozen_encoder_forward_calls": 0,
            "frozen_encoder_input_tokens_including_prompt": 0,
            "scope": "entire invocation, including training controls, profiling and evaluation",
            "includes_rejected_and_profiling_generations": true
          },
          "protocol": {
            "test_opened": false,
            "gold_in_student_generation": false,
            "gold_in_student_generation_scope": "evaluated_student_inference_only",
            "training_construction_roles_with_gold": [],
            "comparison_kind": "before_after_training",
            "train_examples": 8,
            "validation_examples": 4,
            "max_tokens": 512
          },
          "parameters_changed": true,
          "variant": "unfiltered",
          "difficulty_history": [
            [
              0.875,
              0.375,
              0.25,
              0.75,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              0.875,
              0.5,
              0.375,
              0.375,
              0.125,
              0.75,
              0.0,
              0.0
            ],
            [
              1.0,
              0.5,
              0.125,
              0.625,
              0.0,
              0.75,
              0.0,
              0.125
            ],
            [
              0.625,
              0.5,
              0.0,
              0.625,
              0.125,
              0.75,
              0.0,
              0.125
            ]
          ],
          "difficulty_dynamics": {
            "span": [
              0.375,
              0.125,
              0.375,
              0.375,
              0.125,
              0.0,
              0.0,
              0.125
            ],
            "total_variation": [
              0.5,
              0.125,
              0.5,
              0.625,
              0.25,
              0.0,
              0.0,
              0.125
            ],
            "extra_round_trip_variation": [
              0.125,
              0.0,
              0.125,
              0.25,
              0.125,
              0.0,
              0.0,
              0.0
            ]
          },
          "initial_static_easy_to_hard_order": null,
          "execution_status": "passed",
          "limitations": [
            "Small public train-only GSM8K holdout diagnostic; no official test is read.",
            "Qwen2.5-0.5B replaces 1.5B and diagnostic cadence is scaled to each bounded step.",
            "Run fixed-medium/staged/too-hard/unfiltered/static separately with matched configured budgets.",
            "All rejected groups and calibration generations are charged; no invented nonzero advantage.",
            "Staged diagnostic uses the validation split, not original 128-per-band training-heldout pools."
          ]
        }
      }
    }
  ],
  "aggregate_metrics": {
    "fixed-medium.initial.accuracy": {
      "mean": 0.25,
      "std": 0.0,
      "n": 3
    },
    "fixed-medium.validation.accuracy": {
      "mean": 0.5,
      "std": 0.0,
      "n": 3
    },
    "staged.initial.accuracy": {
      "mean": 0.25,
      "std": 0.0,
      "n": 3
    },
    "staged.validation.accuracy": {
      "mean": 0.3333333333333333,
      "std": 0.28867513459481287,
      "n": 3
    },
    "static.initial.accuracy": {
      "mean": 0.25,
      "std": 0.0,
      "n": 3
    },
    "static.validation.accuracy": {
      "mean": 0.4166666666666667,
      "std": 0.14433756729740643,
      "n": 3
    },
    "too-hard.initial.accuracy": {
      "mean": 0.25,
      "std": 0.0,
      "n": 3
    },
    "too-hard.validation.accuracy": {
      "mean": 0.5,
      "std": 0.0,
      "n": 3
    },
    "unfiltered.initial.accuracy": {
      "mean": 0.25,
      "std": 0.0,
      "n": 3
    },
    "unfiltered.validation.accuracy": {
      "mean": 0.5,
      "std": 0.0,
      "n": 3
    }
  },
  "dataset": {
    "verified": true,
    "test_read": false,
    "source_id": "openai/grade-school-math",
    "source_revision": "3101c7d5072418e28b9008a6636bde82a006892c",
    "source_sha256": "17f347dc51477c50d4efb83959dbb7c56297aba886e5544ee2aaed3024813465",
    "partition_sha256": {
      "train": "6b8672439c8cf6f6b6e65bf5f0e515fbf4c497c9066eefb62a6a6a61ced158e3",
      "validation": "2cf1119ad7b2e31e825274487ef32c073e03a8ed44f08ecd3e0366c1f40ebdb7"
    },
    "partition": "normalized-question sha256 unsigned-prefix / 2^64 < 0.1 validation"
  },
  "checkpoint": {
    "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
    "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
    "verified_mirror": {
      "public_id": "Qwen/Qwen2.5-0.5B-Instruct",
      "revision": "7ae557604adf67be50417f59c2c2f167def9a775",
      "file_sha256": {
        "config.json": "18e18afcaccafade98daf13a54092927904649e1dd4eba8299ab717d5d94ff45",
        "generation_config.json": "e558847a8b4402616f1273797b015104dc266fe4b520056fca88823ba8f8ebe6",
        "merges.txt": "599bab54075088774b1733fde865d5bd747cbcc7a547c5bc12610e874e26f5e3",
        "model.safetensors": "fdf756fa7fcbe7404d5c60e26bff1a0c8b8aa1f72ced49e7dd0210fe288fb7fe",
        "tokenizer.json": "c0382117ea329cdf097041132f6d735924b697924d6f6fc3945713e96ce87539",
        "tokenizer_config.json": "5b5d4f65d0acd3b2d56a35b56d374a36cbc1c8fa5cf3b3febbbfabf22f359583",
        "vocab.json": "ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910"
      }
    }
  },
  "execution_checks": {
    "42": {
      "fixed-medium": {
        "actual_optimizer_updates": 7,
        "eligible_groups": 7,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 636.1500999443233,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 42,
          "variant": "fixed-medium",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 633.8375765234232,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 2901858304,
          "actual_max_memory_reserved_bytes": 5387583488,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8250,
            "student": 70009
          },
          "scored_response_tokens": {
            "behavior": 70009,
            "student_rl": 13880
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "staged": {
        "actual_optimizer_updates": 10,
        "eligible_groups": 10,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 673.6660227067769,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 42,
          "variant": "staged",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 671.18108067289,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3108669440,
          "actual_max_memory_reserved_bytes": 5154799616,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8754,
            "student": 74288
          },
          "scored_response_tokens": {
            "behavior": 74288,
            "student_rl": 19984
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "static": {
        "actual_optimizer_updates": 4,
        "eligible_groups": 8,
        "mathematically_equal_reward_groups_skipped": 4,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [
          {
            "step": 1,
            "training_row": 0,
            "rewards": [
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          }
        ],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 685.4193786792457,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 42,
          "variant": "static",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 683.0766994766891,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3514061824,
          "actual_max_memory_reserved_bytes": 5807013888,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 9164,
            "student": 74639
          },
          "scored_response_tokens": {
            "behavior": 74639,
            "student_rl": 9616
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "too-hard": {
        "actual_optimizer_updates": 10,
        "eligible_groups": 10,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 658.0403874441981,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 42,
          "variant": "too-hard",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 655.53652812168,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3842614784,
          "actual_max_memory_reserved_bytes": 6148849664,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8791,
            "student": 74204
          },
          "scored_response_tokens": {
            "behavior": 74204,
            "student_rl": 23930
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "unfiltered": {
        "actual_optimizer_updates": 19,
        "eligible_groups": 32,
        "mathematically_equal_reward_groups_skipped": 13,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [
          {
            "step": 1,
            "training_row": 0,
            "rewards": [
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 1,
            "training_row": 2,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 1,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 1,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 2,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 2,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          }
        ],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 606.7968027666211,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 42,
          "variant": "unfiltered",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 604.5412887074053,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3464610816,
          "actual_max_memory_reserved_bytes": 5729419264,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8577,
            "student": 73099
          },
          "scored_response_tokens": {
            "behavior": 73099,
            "student_rl": 41232
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      }
    },
    "43": {
      "fixed-medium": {
        "actual_optimizer_updates": 8,
        "eligible_groups": 8,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 677.5788688659668,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 43,
          "variant": "fixed-medium",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 675.4739038906991,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3551163904,
          "actual_max_memory_reserved_bytes": 5112856576,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8988,
            "student": 75998
          },
          "scored_response_tokens": {
            "behavior": 75998,
            "student_rl": 17576
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "staged": {
        "actual_optimizer_updates": 9,
        "eligible_groups": 9,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 692.4588116928935,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 43,
          "variant": "staged",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 690.2053823918104,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3142192640,
          "actual_max_memory_reserved_bytes": 4758437888,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8508,
            "student": 75379
          },
          "scored_response_tokens": {
            "behavior": 75379,
            "student_rl": 18743
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "static": {
        "actual_optimizer_updates": 6,
        "eligible_groups": 8,
        "mathematically_equal_reward_groups_skipped": 2,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [
          {
            "step": 2,
            "training_row": 2,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          }
        ],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 690.217955969274,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 43,
          "variant": "static",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 687.8983246386051,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3544874496,
          "actual_max_memory_reserved_bytes": 5693767680,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8907,
            "student": 75594
          },
          "scored_response_tokens": {
            "behavior": 75594,
            "student_rl": 14595
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "too-hard": {
        "actual_optimizer_updates": 7,
        "eligible_groups": 7,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 664.7406627573073,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 43,
          "variant": "too-hard",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 662.2785841114819,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3273183744,
          "actual_max_memory_reserved_bytes": 5259657216,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8533,
            "student": 73796
          },
          "scored_response_tokens": {
            "behavior": 73796,
            "student_rl": 16620
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "unfiltered": {
        "actual_optimizer_updates": 22,
        "eligible_groups": 32,
        "mathematically_equal_reward_groups_skipped": 10,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [
          {
            "step": 1,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 1,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 0,
            "rewards": [
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          }
        ],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 677.3662807494402,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 43,
          "variant": "unfiltered",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 675.1541140787303,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3616701440,
          "actual_max_memory_reserved_bytes": 5100273664,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8418,
            "student": 76241
          },
          "scored_response_tokens": {
            "behavior": 76241,
            "student_rl": 50002
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      }
    },
    "44": {
      "fixed-medium": {
        "actual_optimizer_updates": 4,
        "eligible_groups": 4,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 620.4139524810016,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 44,
          "variant": "fixed-medium",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 618.2496887072921,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3193501696,
          "actual_max_memory_reserved_bytes": 4833935360,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8212,
            "student": 73434
          },
          "scored_response_tokens": {
            "behavior": 73434,
            "student_rl": 8774
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "staged": {
        "actual_optimizer_updates": 7,
        "eligible_groups": 7,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 661.6682027466595,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 44,
          "variant": "staged",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 659.177813436836,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3108116480,
          "actual_max_memory_reserved_bytes": 4536139776,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8522,
            "student": 74800
          },
          "scored_response_tokens": {
            "behavior": 74800,
            "student_rl": 14252
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "static": {
        "actual_optimizer_updates": 7,
        "eligible_groups": 8,
        "mathematically_equal_reward_groups_skipped": 1,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [
          {
            "step": 4,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          }
        ],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 645.960937846452,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 44,
          "variant": "static",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 643.5252490639687,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3480293888,
          "actual_max_memory_reserved_bytes": 5156896768,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8619,
            "student": 72820
          },
          "scored_response_tokens": {
            "behavior": 72820,
            "student_rl": 15398
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "too-hard": {
        "actual_optimizer_updates": 7,
        "eligible_groups": 7,
        "mathematically_equal_reward_groups_skipped": 0,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 664.2123421393335,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 44,
          "variant": "too-hard",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 661.9004598706961,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3770255360,
          "actual_max_memory_reserved_bytes": 5511315456,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 9100,
            "student": 72857
          },
          "scored_response_tokens": {
            "behavior": 72857,
            "student_rl": 17190
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      },
      "unfiltered": {
        "actual_optimizer_updates": 24,
        "eligible_groups": 32,
        "mathematically_equal_reward_groups_skipped": 8,
        "equal_reward_optimizer_updates": 0,
        "actual_zero_group_ledgers": [
          {
            "step": 1,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 1,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 2,
            "training_row": 7,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 0,
            "rewards": [
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2,
              1.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 3,
            "training_row": 4,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 2,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          },
          {
            "step": 4,
            "training_row": 6,
            "rewards": [
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2,
              0.2
            ],
            "optimizer_update_executed": false,
            "zero_advantage_group": true,
            "advantages_recorded": null,
            "advantages_field_present": false
          }
        ],
        "all_groups_audited": 32,
        "invocation_elapsed_seconds": 673.5393040217459,
        "configured_wall_cap_seconds": 900,
        "peak_memory": {
          "core_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
          "core_runner_sha256": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
          "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
          "observer_source_sha256": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c",
          "core_import_binding": "prepend frozen core root/src; refuse mismatched preloaded package",
          "seed": 44,
          "variant": "unfiltered",
          "execution_config_canonical_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
          "artifact_kind": "observational_cuda_memory_not_gpu_receipt",
          "not_gpu_receipt": true,
          "core_exit_code": 0,
          "actual_elapsed_seconds": 671.0687175318599,
          "no_monkeypatch": true,
          "training_arguments_forwarded_unchanged": true,
          "measurement_scope": "whole frozen-core invocation after reset; per-process Torch allocator, not device-global NVML peak",
          "peak_memory_available": true,
          "actual_max_memory_allocated_bytes": 3770255360,
          "actual_max_memory_reserved_bytes": 5515509760,
          "accelerator": {
            "vendor": "NVIDIA",
            "model": "NVIDIA A30"
          }
        },
        "measured_cost": {
          "generation_calls": {
            "evaluation": 24,
            "student": 32
          },
          "generated_tokens": {
            "evaluation": 8471,
            "student": 75016
          },
          "scored_response_tokens": {
            "behavior": 75016,
            "student_rl": 55419
          },
          "frozen_encoder_forward_calls": 0,
          "frozen_encoder_input_tokens_including_prompt": 0,
          "scope": "entire invocation, including training controls, profiling and evaluation",
          "includes_rejected_and_profiling_generations": true
        },
        "execution_complete": true,
        "mechanism_passed": true,
        "negative_control_completed": false
      }
    }
  },
  "evaluation_protocol": {
    "tier": "l1_mechanism",
    "seeds": [
      42,
      43,
      44
    ],
    "formal_comparison": false,
    "claim_policy": "single/few-seed smoke result; do not claim a stable improvement",
    "promotion_eligible": false,
    "test_used_for_selection": false,
    "within_A30_same_seed_arms_paired": true,
    "paired_with_old_A100_or_51b": false,
    "variants_are_independent_seeds": false,
    "concurrent_latency_comparison_eligible": false
  },
  "provenance": {
    "code_commit": "b90862754bf51b1beeb5add3f7dc2a51ca00ace4",
    "executed_source_sha256": {
      "scripts/prepare_soar_catalog_qa.py": "483a4eb3d9932d31046888c165c06590e67c6df5575a5b2afd4e302145f445e7",
      "scripts/run_oct13_post_training.py": "916b3b9a0eaeeaf30bad811376fa05305011754c922bb368a0f39833aad07ffa",
      "src/auto_research/oct12_public_sources.py": "4e1150cbe4ea975819c244267180f853c83c4ad4c2c27f9e0ce95cc16793e093",
      "src/auto_research/post_training/oct10_checkpoint.py": "247f1f97a3ca701277f241ec81d99296f0ea82e1db8f68006fcd7bfdc661cd74",
      "src/auto_research/post_training/oct13_common.py": "d19401266a420afdc64867f145f8384fd649dc1991e4b74ea1f7ee8b8d91bde5",
      "src/auto_research/post_training/proximal_checkpoint.py": "5307a54204720e5407d2cd0435b654ae0e594f30c85cdf07d55d4e90612a1397",
      "src/auto_research/post_training/response_policy.py": "e380a5b4d1d53974b973b72b7d9ad6328129dc8c9bae4d233f6c1cbdf8508bf7",
      "src/auto_research/public_holdout.py": "033d9c1fd112accf5ac79573b99d9f31cffc646bcab6911cf3e49459fa003b46",
      "src/auto_research/reproductions/gppo_framework/__init__.py": "7fe8cab42fef9f32b9653dfb5f54f03182de0753de2c9e5b359d124d7cd763d8",
      "src/auto_research/reproductions/gppo_framework/adapter.py": "a7f4ee792a8ded3daeeb183cbca5c99de63c1b7d3cb195f5bedd5289cb0e0260",
      "src/auto_research/reproductions/gppo_framework/objective.py": "0f8fbb2ad397b04a70466dde4e939f4d094ad7e7df07cfbba59f4a6ca5d05dd0",
      "src/auto_research/reproductions/gppo_framework/paper.yaml": "a023ee98bbd078077b2708122973d27a98085848be816ce461b7d4291aca8e1f",
      "src/auto_research/reproductions/grpo_difficulty_curriculum/__init__.py": "d09d8d7e0e6f5bcec9979241eed06a1d2a6ac8f3fb7a25f49e0df55be0071acb",
      "src/auto_research/reproductions/grpo_difficulty_curriculum/adapter.py": "bbd3e964dc035ea4bbd999a581ea07eccabd986b6456774b21a4c24092cbdfbe",
      "src/auto_research/reproductions/grpo_difficulty_curriculum/algorithm.py": "4131e39279d30c0748b14f611ab657b3fea76147a7c164aea2883c62bde75785",
      "src/auto_research/reproductions/grpo_difficulty_curriculum/checkpoint.py": "d03a7d2db0a19b469fe5429ddce634b02d8cbd0eeed8d09bef0afc51c1d7ac70",
      "src/auto_research/reproductions/grpo_difficulty_curriculum/paper.yaml": "c417d2269314b15e2dfef4ba52dfb24771b2e1270f808fe5be47a54e9d0c1bb1",
      "src/auto_research/reproductions/magicbeanstalk/__init__.py": "8dd207ea37a89dfa34f87b02eb4a2fd26472895678d1362a7e5b59dad5cda616",
      "src/auto_research/reproductions/magicbeanstalk/adapter.py": "319b6503de342feee49fb6446b7bbdeb117f7dc0dd7b79ed1c3bd34cce1ce73f",
      "src/auto_research/reproductions/magicbeanstalk/algorithm.py": "2fb98f7137f336414ae6e07069fe34584d0e1cbc4bd594683a67e11ffc982aba",
      "src/auto_research/reproductions/magicbeanstalk/checkpoint.py": "78416567c61f23505f579805b845a40a3098c311e57fb42c7ac8d5ebc67390dd",
      "src/auto_research/reproductions/magicbeanstalk/paper.yaml": "e9c5619918b4d72d776008aba3fa95d50ba6ebe99afab729ba9e6dfe82fac06e",
      "src/auto_research/reproductions/progressive_contraction/__init__.py": "e50fe46d888e0a0b11b7d4d6d8f3224ae5940394f8ba8396fc5afb1cd38a4d53",
      "src/auto_research/reproductions/progressive_contraction/adapter.py": "06f23b5c795f7222f76dee9beaa8164f460eb5183e18c6d374bff011737235dd",
      "src/auto_research/reproductions/progressive_contraction/algorithm.py": "ba077b8c52a8d10e268a4e5c85770b9cebcb12415f9b2aaf7b9500e1303ca4b1",
      "src/auto_research/reproductions/progressive_contraction/checkpoint.py": "67fa44814d613d3838716fea68476217d608af14f23a051e32a916b72538e7ec",
      "src/auto_research/reproductions/progressive_contraction/paper.yaml": "faf5243c71a87407601b982469d98dc4d48ddf842da56c210ede077c2b27c1c1",
      "src/auto_research/reproductions/soar/__init__.py": "3d87d1189d7037e32c1e2cb0c249d13609c5af3d7062a19904590ba7923c799a",
      "src/auto_research/reproductions/soar/adapter.py": "8fbbe8f8fe54b9f014ccc26a75b01e72b73b95e2b03cc379c5b5db4b63c9b31e",
      "src/auto_research/reproductions/soar/algorithm.py": "9b7068d9774d1c93800c512a04b9ba4d0ee98fc13d308e5ac0970299c8bb2485",
      "src/auto_research/reproductions/soar/checkpoint.py": "91901d9eb9f81faa41dda170ff1f4d2283f56cd17c7df0572348356c7b7eb76e",
      "src/auto_research/reproductions/soar/paper.yaml": "2f756cab9f7fefd4613bb69971fd8252c2b9ad451fa5c5eff5d03fa063d91521",
      "src/auto_research/reproductions/state_opd/__init__.py": "8db07736f0336ed7f39502ae2953bdae76658942542cacbe4b6b2c1fd0abe094",
      "src/auto_research/reproductions/state_opd/adapter.py": "2f8bf4773e8f40c0eabe777fbd1e1aa6d372a7b05501404c3e3f7b2d54987524",
      "src/auto_research/reproductions/state_opd/algorithm.py": "dc7fe3eae619ff69ec51c47826f89471f00be564ea4e6730e12726a060ba7e2f",
      "src/auto_research/reproductions/state_opd/checkpoint.py": "95755e0604f563a5c96f92e9de9069befe3e1274d31c224a43ca20d71f756b09",
      "src/auto_research/reproductions/state_opd/environment.py": "0e9564f9ec540985eb010b1e70f46938acc1bd946041b518d6579253762080e1",
      "src/auto_research/reproductions/state_opd/paper.yaml": "86c75255f1c416611a181c26359e9f5d9865caaea5266ca7b13dd8a183b906cc",
      "src/auto_research/reproductions/synthself/__init__.py": "474bb75e10b95afe6faec1f3631beab2f17f9a43013d3d29e79b7d4b36e06031",
      "src/auto_research/reproductions/synthself/adapter.py": "db4c08e1ccc2acfc28d19fc72acfa39b0a0dce096bbc430bafe9b21dbb72cddd",
      "src/auto_research/reproductions/synthself/algorithm.py": "1e7ea1ff65d3ba0ece1af889022c19f7147f51d10fb8196ab8f9fa2e18604b95",
      "src/auto_research/reproductions/synthself/checkpoint.py": "dbcf9f222094c197e0392f82191a0ae6551c6573ee54a9eee8c7d37553472981",
      "src/auto_research/reproductions/synthself/paper.yaml": "d6d31d755561626c2b667f4fc2b990dee8360fa52f92193b5c6a6e93b1f6ca71",
      "src/auto_research/reproductions/tapo_trajectory/__init__.py": "a0dd8d4825b91dd076b71bdd3a3eccb0638ba4bf0240fe9da76d61a7290f69c6",
      "src/auto_research/reproductions/tapo_trajectory/adapter.py": "c01b75bf7853546caa2d517dd5f9c9faf739537b95207b8f1fd28adcdd5aafa7",
      "src/auto_research/reproductions/tapo_trajectory/objective.py": "49ab02ac758251acde90091a82b22576449d294a1f25cc3144ff1addd1132ae2",
      "src/auto_research/reproductions/tapo_trajectory/paper.yaml": "493e59ec67f96ee37ffecf6694dd5c4d8555849b8f756ccb63644da90bbb48d6",
      "src/auto_research/reproductions/upturn/__init__.py": "1e9793e9ea85e94144f7eac8fa141567d7f964438fa628788b668358154e196e",
      "src/auto_research/reproductions/upturn/adapter.py": "72e5da3cb70856944d0c9a25376f73d4a1d9f16213efd43e19b3acf2a584afc2",
      "src/auto_research/reproductions/upturn/algorithm.py": "421abd06cc492c39cf72e9b15c7f85c01e85fae0a7c26fb3053fbd19bc4897a4",
      "src/auto_research/reproductions/upturn/checkpoint.py": "fbcb7c830cf53d3130cfc06621f3178516aa72c7a939f4f765c3c7864b383787",
      "src/auto_research/reproductions/upturn/paper.yaml": "6eca098f6d945a30732f54cb04f2ee984b165a3c4f06cb65d49879d7edd28696",
      "scripts/diagnose_oct14_post_training.py": "2a15d720a4f84bd1e415a4f0653c589c9716d526d4842acd5df728fd3575ca5b",
      "scripts/diagnose_oct14_soar_format.py": "02b375e4359b8b8031246853a7e30e52b0cf7e0a94cf563299758260953f7ded"
    },
    "artifact_path": "docs/reproductions/2610.13669-grpo-difficulty-curriculum/metrics/public-a30-complete-five-arms-seeds42-44-b9086275.json",
    "execution_config_sha256": "96a8984e40ec68ca01186a33a150dfea89c100c7a74d8e613f8f905f98d9b3f9",
    "dataset_fingerprint": "69efc634f51a589335fcdea85238bf3218653a94de2ba2604a64056960547dab",
    "raw_results_sha256": {
      "42.unfiltered": "eb2620796f9897761d9fdee5c5618e0bd41127066890a2491ea3c016ecf839d1",
      "42.static": "d22403f608483bbfb0778a6c9e11e22d8b8e9e0efb6134e6bf57590550728670",
      "42.fixed-medium": "bfe4bdae3c65fb7145f15d6465005214745694ea2d0cb54b0ca5a43970e59723",
      "42.staged": "1759a9d1f8af5119b868fa16b2467f2dada662cedeaf991fe1c0cbd7f27d6cda",
      "42.too-hard": "1508e40c26ae7e170be357aa2586a15b7979444da016db2abc8d36aa65a52fba",
      "43.unfiltered": "91551fdeebc05f36c25d3415151b31f84a88f2dc9048131d34864e3dfa82206c",
      "43.static": "b541c20db2c11c39cd354108b5c7c0b68afdbabcc47967e1a92f72af11286a38",
      "43.fixed-medium": "93ef5dc2d7e724d3e54eab1b72349af55041a3ac5324475e8fcc421268417add",
      "43.staged": "40d289e30a4d6c3dc9d505e3d1b0e000e54315b20958e347cebc4696439b8187",
      "43.too-hard": "8ef0d91ba2dbf8f6f51b9e0e237333b7a5c4de7c392a1cdd7f098e5bd528774e",
      "44.unfiltered": "8feae863af6560ef29f70f14541e2766d03ae4c397d1f9a4a158e4451b7eadbd",
      "44.static": "69a614861d169277bad3b6c34b2286d98f342c9c51c685123ef0004a38506132",
      "44.fixed-medium": "c0c09458e3cac25b95f67263240c6355b9ec44210d338a1ed1f5d843ca33235a",
      "44.staged": "9d75d1054d367bb518e2382cfbff5e5d0bcc7fbe7dde066d93f93342072b2681",
      "44.too-hard": "6575fa47b9fe466e29386049a4bc4fd51ba53cfe097a29dc389d99841144b2ce"
    },
    "observer_commit": "92c2081869dcfbcec89b85580721d9bdb0dd136c",
    "observer_source_sha256": {
      "scripts/observe_oct14_cuda_memory.py": "e106b23ff74d4d7ffc4572fddd77780ef1811eb2f33cb1967d8f86776874d36c"
    }
  },
  "limitations": [
    "Zero and rejected groups are fully audited, not dropped from denominators; no old-source pseudo updates are reused.",
    "Five variants are paired method/control arms, not five independent seeds; only actually completed seeds enter descriptive metrics.",
    "Matched configured budget is not matched realized updates/token cost; concurrency timing is not a throughput comparison.",
    "Every first-seed and remaining-seed arm is same-device/source/config; old6a/51b cohorts are not reused or pooled.",
    "Three seed groups remain L1 diagnostics, not a stable gain, original paper benchmark or production A/B.",
    "Negative staged and any other lower validation metrics are preserved; too-hard is not forced to have zero updates."
  ]
}
