{
  "bench_version": 1,
  "track": "dynamics",
  "model": "rnn_small",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.005,
      "rho_cap": null
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.001,
          "rho_cap": null
        },
        "mean": 0.0012295851483941078
      },
      {
        "cfg": {
          "lr": 0.003,
          "rho_cap": null
        },
        "mean": 0.0006583010253962129
      },
      {
        "cfg": {
          "lr": 0.005,
          "rho_cap": null
        },
        "mean": 0.0004532121238298714
      }
    ],
    "full": {
      "mean": 0.00038185320590855554,
      "std": 0.00016136478368296086,
      "per_seed": [
        0.00046871721860952675,
        0.0002616161364130676,
        0.00031301137642003596,
        0.0007695037638768554,
        0.0003513892588671297,
        0.0002713301219046116,
        0.0002475073270034045,
        0.00037175044417381287
      ],
      "n": 8
    }
  },
  "idea": {
    "mean": 0.00016176951703528175,
    "std": 2.54928932189329e-05,
    "per_seed": [
      0.00013927802501711994,
      0.0001758444996085018,
      0.0001558296353323385,
      0.00020030193263664842,
      0.0001420884218532592,
      0.00012167391105322167,
      0.00016640945977997035,
      0.00019273025100119412
    ],
    "n": 8
  },
  "comparison": {
    "delta_mean": -0.00022008368887327379,
    "idea_wins": 8,
    "n_pairs": 8,
    "per_seed_diffs": [
      -0.0003294391935924068,
      -8.577163680456579e-05,
      -0.00015718174108769745,
      -0.000569201831240207,
      -0.00020930083701387048,
      -0.00014965621085138991,
      -8.109786722343415e-05,
      -0.00017902019317261875
    ],
    "p_value": 0.0081,
    "mde": 0.0001347953881261106,
    "mde_rel_pct": 35.3003159435018,
    "verdict": "idea better (significant)",
    "system_worked": true
  },
  "mechanism_signature": {
    "signature": {
      "prediction": "projected recurrent operator-gain proxy stays <= 0.90",
      "predicted_max": 0.7689717411994934,
      "observed": [
        {
          "seed": 0,
          "predicted_gain_proxy": 0.7254310846328735,
          "observed_output_gain": 0.0707114040851593
        },
        {
          "seed": 1,
          "predicted_gain_proxy": 0.7678388953208923,
          "observed_output_gain": 0.09257301688194275
        },
        {
          "seed": 2,
          "predicted_gain_proxy": 0.7689717411994934,
          "observed_output_gain": 0.07351840287446976
        },
        {
          "seed": 3,
          "predicted_gain_proxy": 0.7672179341316223,
          "observed_output_gain": 0.07399722933769226
        }
      ],
      "confirmed": true
    },
    "idea_sweep": {
      "0.001": {
        "mean": 0.00032572537929809187,
        "std": 6.515504960120716e-05,
        "per_seed": [
          0.00024285227118525654,
          0.00030959199648350477,
          0.0003330624313093722,
          0.00036215895670466125,
          0.00030998658621683717,
          0.0002514962980058044,
          0.0003306802245788276,
          0.00046597426990047097
        ],
        "n": 8
      },
      "0.003": {
        "mean": 0.0002240399771835655,
        "std": 3.985152266293653e-05,
        "per_seed": [
          0.00017446346464566886,
          0.00022571365116164088,
          0.00022476879530586302,
          0.0002838608343154192,
          0.00020102885900996625,
          0.00017465419659856707,
          0.00022299615375231951,
          0.0002848338626790792
        ],
        "n": 8
      },
      "0.005": {
        "mean": 0.00016176951703528175,
        "std": 2.54928932189329e-05,
        "per_seed": [
          0.00013927802501711994,
          0.0001758444996085018,
          0.0001558296353323385,
          0.00020030193263664842,
          0.0001420884218532592,
          0.00012167391105322167,
          0.00016640945977997035,
          0.00019273025100119412
        ],
        "n": 8
      }
    },
    "selected_idea_lr": 0.005,
    "structure": "GRU recurrent dynamics; spectral-gain projection is the only intervention"
  },
  "baseline_sweep_union_note": "Baseline evaluated all idea learning rates; baseline method has no additional decisive knob."
}