{
  "bench_version": 1,
  "track": "dynamics",
  "model": "rnn_small",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.012,
      "epochs": 25,
      "steps": 0
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.003,
          "epochs": 25,
          "steps": 0
        },
        "mean": 0.0008186178019968793
      },
      {
        "cfg": {
          "lr": 0.006,
          "epochs": 25,
          "steps": 0
        },
        "mean": 0.0005262107733869925
      },
      {
        "cfg": {
          "lr": 0.012,
          "epochs": 25,
          "steps": 0
        },
        "mean": 0.0003371372222318314
      }
    ],
    "full": {
      "mean": 0.00027095018594991416,
      "std": 0.00010329659269599283,
      "per_seed": [
        0.0003306560392957181,
        0.0003460621228441596,
        0.00033211964182555676,
        0.0003397110849618912,
        0.0003853111120406538,
        0.00018891783838625997,
        7.910988642834127e-05,
        0.00016571376181673259
      ],
      "n": 8
    }
  },
  "idea": {
    "mean": 8.354870317361929e-06,
    "std": 8.429703290269694e-07,
    "per_seed": [
      9.509363735560328e-06,
      7.033356723695761e-06,
      8.578040251450147e-06,
      7.191956683527678e-06,
      9.002241313282866e-06,
      9.134431820712052e-06,
      8.445092134934384e-06,
      7.944479875732213e-06
    ],
    "n": 8
  },
  "comparison": {
    "delta_mean": -0.00026259531563255223,
    "idea_wins": 8,
    "n_pairs": 8,
    "per_seed_diffs": [
      -0.00032114667556015775,
      -0.00033902876612046384,
      -0.0003235416015741066,
      -0.0003325191282783635,
      -0.00037630887072737096,
      -0.00017978340656554792,
      -7.066479429340689e-05,
      -0.00015776928194100037
    ],
    "p_value": 0.0081,
    "mde": 9.240406097577938e-05,
    "mde_rel_pct": 34.10370827088508,
    "verdict": "idea better (significant)",
    "system_worked": true
  },
  "mechanism_signature": {
    "track_match": "dynamics: controlled pendulum rollout",
    "idea_config_sweep": [
      {
        "cfg": {
          "lr": 0.003,
          "epochs": 25,
          "steps": 1
        },
        "mean": 8.078179348558479e-06
      },
      {
        "cfg": {
          "lr": 0.006,
          "epochs": 25,
          "steps": 2
        },
        "mean": 8.078180940174207e-06
      },
      {
        "cfg": {
          "lr": 0.012,
          "epochs": 25,
          "steps": 3
        },
        "mean": 8.078180940174207e-06
      }
    ],
    "best_idea_cfg": {
      "lr": 0.003,
      "epochs": 25,
      "steps": 1
    },
    "mechanism": {
      "claim": "implicit equality projection removes the measured equilibrium residual",
      "trained_model_raw_residual_mean": 0.7149586826562881,
      "trained_model_projected_residual_mean": 0.0,
      "residual_ratio": 0.0,
      "confirmed": true
    }
  },
  "protocol_notes": "8 paired seeds; baseline and idea share rnn_small, dataset sizes, lr/epoch union, and train_model."
}