{
  "bench_version": 1,
  "track": "dynamics",
  "model": "rnn_small",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.009
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.001
        },
        "mean": 0.001250935427378863
      },
      {
        "cfg": {
          "lr": 0.003
        },
        "mean": 0.0007842454651836306
      },
      {
        "cfg": {
          "lr": 0.009
        },
        "mean": 0.00032731111787143163
      }
    ],
    "full": {
      "mean": 0.0002811976373777725,
      "std": 0.00014349708189490275,
      "per_seed": [
        0.0002109479537466541,
        0.00023838288325350732,
        0.00020579870033543557,
        0.0006541149341501296,
        0.0002111889043590054,
        0.00019325825269334018,
        0.00025733737857080996,
        0.00027855209191329777
      ],
      "n": 8
    }
  },
  "idea": {
    "best_cfg": {
      "lr": 0.009
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.001
        },
        "mean": 0.15046435873955488
      },
      {
        "cfg": {
          "lr": 0.003
        },
        "mean": 0.009112948318943381
      },
      {
        "cfg": {
          "lr": 0.009
        },
        "mean": 0.002690640962100588
      }
    ],
    "per_seed": [
      0.002644516061991453,
      0.0025255768559873104,
      0.0035836552269756794,
      0.003749588970094919,
      0.0022452210541814566,
      0.0017906847642734647,
      0.0021657501347362995,
      0.0028201346285641193
    ],
    "mean": 0.002690640962100588,
    "std": 0.0006372615308025123,
    "n": 8
  },
  "comparison": {
    "delta_mean": 0.0024094433247228153,
    "idea_wins": 0,
    "n_pairs": 8,
    "per_seed_diffs": [
      0.002433568108244799,
      0.002287193972733803,
      0.003377856526640244,
      0.0030954740359447896,
      0.002034032149822451,
      0.0015974265115801245,
      0.0019084127561654896,
      0.0025415825366508216
    ],
    "p_value": 0.0081,
    "mde": 0.0004989760120697837,
    "mde_rel_pct": 177.44672989532938,
    "verdict": "idea worse (significant)",
    "system_worked": false
  },
  "track_justification": "Dynamics is structurally matched: the idea claims stability/control of repeated state propagation.",
  "mechanism_signature": {
    "energy_first_mean": 0.0,
    "energy_last_mean": 0.21861755847930908,
    "max_step_energy_increase": 0.05179046094417572,
    "mean_continuous_power": 0.47418127581477165,
    "prediction": "bounded hidden energy under damped port-Hamiltonian updates",
    "confirmed": false
  }
}