{
  "bench_version": 1,
  "track": "dynamics",
  "model": "rnn_small",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.006
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.001
        },
        "mean": 0.0002686133266252
      },
      {
        "cfg": {
          "lr": 0.003
        },
        "mean": 2.2429956516134553e-05
      },
      {
        "cfg": {
          "lr": 0.006
        },
        "mean": 1.2719097412627889e-05
      }
    ],
    "full": {
      "mean": 1.3684802866009704e-05,
      "std": 2.4297331089709535e-06,
      "per_seed": [
        1.0965275578200817e-05,
        1.3063688129477669e-05,
        1.363205592497252e-05,
        1.321537001786055e-05,
        1.694267484708689e-05,
        1.790331407391932e-05,
        1.3341849808057304e-05,
        1.0414194548502564e-05
      ],
      "n": 8
    }
  },
  "idea": {
    "mean": 1.3684802866009704e-05,
    "std": 2.4297331089709535e-06,
    "per_seed": [
      1.0965275578200817e-05,
      1.3063688129477669e-05,
      1.363205592497252e-05,
      1.321537001786055e-05,
      1.694267484708689e-05,
      1.790331407391932e-05,
      1.3341849808057304e-05,
      1.0414194548502564e-05
    ],
    "n": 8
  },
  "comparison": {
    "delta_mean": 0.0,
    "idea_wins": 0,
    "n_pairs": 8,
    "per_seed_diffs": [
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0
    ],
    "p_value": 1.0,
    "mde": 0.0,
    "mde_rel_pct": 0.0,
    "verdict": "no measurable effect",
    "system_worked": false
  },
  "mechanism_signature": {
    "prediction": "contraction-aware perturbation should remain below Euler stability cap alpha<2",
    "predicted_alpha": 1.8,
    "observed_mean_lambda_h": 0.2277172260841973,
    "observed_idea_proxy": 7.496510079363361e-09,
    "rows": [
      {
        "seed": 0,
        "estimated_lambda": 3.643026351928711,
        "mean_step_h": 0.04968743026256561,
        "baseline_proxy": 6.96672941558063e-09,
        "idea_proxy": 6.96672941558063e-09
      },
      {
        "seed": 1,
        "estimated_lambda": 4.969603538513184,
        "mean_step_h": 0.049560677260160446,
        "baseline_proxy": 7.60337570682168e-09,
        "idea_proxy": 7.60337570682168e-09
      },
      {
        "seed": 2,
        "estimated_lambda": 4.052803993225098,
        "mean_step_h": 0.04964262992143631,
        "baseline_proxy": 1.2150849215686321e-08,
        "idea_proxy": 1.2150849215686321e-08
      },
      {
        "seed": 3,
        "estimated_lambda": 4.340335845947266,
        "mean_step_h": 0.049574412405490875,
        "baseline_proxy": 7.668859325349331e-09,
        "idea_proxy": 7.668859325349331e-09
      },
      {
        "seed": 4,
        "estimated_lambda": 4.611820220947266,
        "mean_step_h": 0.049705807119607925,
        "baseline_proxy": 9.313225746154785e-09,
        "idea_proxy": 9.313225746154785e-09
      },
      {
        "seed": 5,
        "estimated_lambda": 4.991096496582031,
        "mean_step_h": 0.049615517258644104,
        "baseline_proxy": 5.6461431086063385e-09,
        "idea_proxy": 5.6461431086063385e-09
      },
      {
        "seed": 6,
        "estimated_lambda": 5.737295150756836,
        "mean_step_h": 0.04948228970170021,
        "baseline_proxy": 4.016328603029251e-09,
        "idea_proxy": 4.016328603029251e-09
      },
      {
        "seed": 7,
        "estimated_lambda": 4.377944469451904,
        "mean_step_h": 0.04963567852973938,
        "baseline_proxy": 6.606569513678551e-09,
        "idea_proxy": 6.606569513678551e-09
      }
    ],
    "confirmed": true
  },
  "math_sanity": {
    "predicted_boundary_lambda_h": 2.0,
    "observed_grid_boundary": 1.9999999999999998,
    "max_boundary_error": 2.220446049250313e-16,
    "passed": true
  },
  "idea_sweep": [
    {
      "cfg": {
        "lr": 0.006,
        "alpha": 1.8,
        "penalty": 0.1
      },
      "mean": 1.3684802866009704e-05
    },
    {
      "cfg": {
        "lr": 0.003,
        "alpha": 0.5,
        "penalty": 0.1
      },
      "mean": 2.628253741931985e-05
    },
    {
      "cfg": {
        "lr": 0.001,
        "alpha": 1.0,
        "penalty": 0.1
      },
      "mean": 0.00021658051718986826
    }
  ],
  "protocol_notes": {
    "structural_match": "controlled damped pendulum rollout tests stability/control dynamics",
    "baseline_grid": [
      {
        "lr": 0.001
      },
      {
        "lr": 0.003
      },
      {
        "lr": 0.006
      }
    ],
    "idea_grid": [
      {
        "lr": 0.006,
        "alpha": 1.8,
        "penalty": 0.1
      },
      {
        "lr": 0.003,
        "alpha": 0.5,
        "penalty": 0.1
      },
      {
        "lr": 0.001,
        "alpha": 1.0,
        "penalty": 0.1
      }
    ],
    "epochs": 15,
    "n_train": 4000,
    "n_test": 1000
  }
}