{
  "bench_version": 1,
  "track": "dynamics",
  "model": "rnn_small",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.005,
      "K": 15
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.001,
          "K": 3
        },
        "mean": 0.016172005562111735
      },
      {
        "cfg": {
          "lr": 0.003,
          "K": 3
        },
        "mean": 0.003774263139348477
      },
      {
        "cfg": {
          "lr": 0.005,
          "K": 3
        },
        "mean": 0.0017951192276086658
      },
      {
        "cfg": {
          "lr": 0.001,
          "K": 7
        },
        "mean": 0.015029519563540816
      },
      {
        "cfg": {
          "lr": 0.003,
          "K": 7
        },
        "mean": 0.002934314659796655
      },
      {
        "cfg": {
          "lr": 0.005,
          "K": 7
        },
        "mean": 0.0014960496919229627
      },
      {
        "cfg": {
          "lr": 0.001,
          "K": 15
        },
        "mean": 0.014895078958943486
      },
      {
        "cfg": {
          "lr": 0.003,
          "K": 15
        },
        "mean": 0.0028665231075137854
      },
      {
        "cfg": {
          "lr": 0.005,
          "K": 15
        },
        "mean": 0.0013684573350474238
      }
    ],
    "full": {
      "mean": 0.0011932104389416054,
      "std": 0.000203301503237927,
      "per_seed": [
        0.0015044162282720208,
        0.0011529525509104133,
        0.0014893548795953393,
        0.001327105681411922,
        0.001068409881554544,
        0.0009947591461241245,
        0.0010155801428481936,
        0.0009931050008162856
      ],
      "n": 8
    }
  },
  "idea": {
    "mean": 0.0023188923223642632,
    "std": 0.0018174311282403578,
    "per_seed": [
      0.006926196161657572,
      0.0018025230383500457,
      0.0029087376315146685,
      0.0010936673497781157,
      0.0015447858022525907,
      0.0014355253661051393,
      0.0016264201840385795,
      0.0012132830452173948
    ],
    "n": 8
  },
  "comparison": {
    "delta_mean": 0.0011256818834226578,
    "idea_wins": 1,
    "n_pairs": 8,
    "per_seed_diffs": [
      0.005421779933385551,
      0.0006495704874396324,
      0.0014193827519193292,
      -0.00023343833163380623,
      0.0004763759206980467,
      0.00044076621998101473,
      0.0006108400411903858,
      0.00022017804440110922
    ],
    "p_value": 0.02285,
    "mde": 0.0015021645326744831,
    "mde_rel_pct": 125.89267438918188,
    "verdict": "idea worse (significant)",
    "system_worked": false
  },
  "mechanism_signature": {
    "structural_match": "controlled pendulum rollout with recurrent fixed-point state updates",
    "shared_architecture": "same inp/state/head parameters and K evaluations; only baseline vs Fejer update differs",
    "idea_grid": [
      {
        "cfg": {
          "lr": 0.001,
          "K": 3
        },
        "mean": 0.013947936473414302,
        "per_seed": [
          0.02009131945669651,
          0.008569814264774323,
          0.04837782308459282,
          0.007685891818255186,
          0.005474410951137543,
          0.006128633860498667,
          0.0073469290509819984,
          0.007908669300377369
        ]
      },
      {
        "cfg": {
          "lr": 0.003,
          "K": 3
        },
        "mean": 0.004136359391850419,
        "per_seed": [
          0.002831853926181793,
          0.0031103442888706923,
          0.016510576009750366,
          0.0014188818167895079,
          0.0029145670123398304,
          0.0021216198801994324,
          0.0022474690340459347,
          0.0019355631666257977
        ]
      },
      {
        "cfg": {
          "lr": 0.005,
          "K": 3
        },
        "mean": 0.0023188923223642632,
        "per_seed": [
          0.006926196161657572,
          0.0018025230383500457,
          0.0029087376315146685,
          0.0010936673497781157,
          0.0015447858022525907,
          0.0014355253661051393,
          0.0016264201840385795,
          0.0012132830452173948
        ]
      },
      {
        "cfg": {
          "lr": 0.001,
          "K": 7
        },
        "mean": 0.06781748728826642,
        "per_seed": [
          0.09825821965932846,
          0.060682933777570724,
          0.1300727277994156,
          0.10404244810342789,
          0.02876441925764084,
          0.03181176632642746,
          0.04144725203514099,
          0.04746013134717941
        ]
      },
      {
        "cfg": {
          "lr": 0.003,
          "K": 7
        },
        "mean": 0.022045168676413596,
        "per_seed": [
          0.03464265167713165,
          0.02418467029929161,
          0.060446545481681824,
          0.0186628308147192,
          0.011261790990829468,
          0.007364522200077772,
          0.007728805299848318,
          0.01206953264772892
        ]
      },
      {
        "cfg": {
          "lr": 0.005,
          "K": 7
        },
        "mean": 0.028678134316578507,
        "per_seed": [
          0.027619337663054466,
          0.009325508028268814,
          0.04537428915500641,
          0.10992163419723511,
          0.011131452396512032,
          0.00906284898519516,
          0.009421450085937977,
          0.007568554021418095
        ]
      },
      {
        "cfg": {
          "lr": 0.001,
          "K": 15
        },
        "mean": 0.45379000529646873,
        "per_seed": [
          0.5679315328598022,
          0.6005325317382812,
          0.31230661273002625,
          0.5303172469139099,
          0.5320272445678711,
          0.35211363434791565,
          0.2027447521686554,
          0.5323464870452881
        ]
      },
      {
        "cfg": {
          "lr": 0.003,
          "K": 15
        },
        "mean": 0.31799950916320086,
        "per_seed": [
          0.25116634368896484,
          0.3567662239074707,
          0.34843429923057556,
          0.7776817083358765,
          0.16537804901599884,
          0.31844574213027954,
          0.09809694439172745,
          0.22802676260471344
        ]
      },
      {
        "cfg": {
          "lr": 0.005,
          "K": 15
        },
        "mean": 0.2506284995470196,
        "per_seed": [
          0.42000678181648254,
          0.17470629513263702,
          0.2908547818660736,
          0.1604318916797638,
          0.34779635071754456,
          0.018573837354779243,
          0.14079605042934418,
          0.45186200737953186
        ]
      }
    ],
    "mechanism_signature": {
      "prediction": "Fejer residual contracts approximately as 1/(K+1) under resolvent/nonexpansive assumptions",
      "K": 7,
      "predicted_ratio": 0.125,
      "observed_trained_ratio": 1.12704236805439,
      "identity_error_on_trained_model": 13.323629379272461,
      "confirmed": false
    }
  }
}