{
  "bench_version": 1,
  "track": "dynamics",
  "model": "matched_recurrent_transition",
  "metric_direction": "lower is better",
  "n_seeds": 8,
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        "mean": 8.121563496388262e-06
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      {
        "cfg": {
          "lr": 0.01
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    "n": 8,
    "sweep": [
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        "per_seed": [
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      {
        "lr": 0.01,
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    "cfg": {
      "lr": 0.003,
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  "comparison": {
    "delta_mean": -1.1057403384029385e-06,
    "idea_wins": 6,
    "n_pairs": 8,
    "per_seed_diffs": [
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      1.1720816473825835e-05,
      -5.2514428716676775e-06,
      -1.022920332616195e-05,
      -8.432962204096839e-07,
      -3.661040864244569e-06,
      -1.5170833194133593e-06,
      3.50009577232413e-06
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    "p_value": 0.6253,
    "mde": 5.428610796522651e-06,
    "mde_rel_pct": 82.49693611316998,
    "verdict": "no significant win",
    "system_worked": false
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  "mechanism_signature": {
    "prediction": "unforced quadratic energy remains constant under midpoint skew transition",
    "trained_model_observed_max_energy_drift": 0.0001373291015625,
    "trained_model_skew_frobenius_error": 0.0,
    "predicted_energy_drift": 0.0,
    "confirmed": true,
    "sanity": {
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      "skew_error": 0.0,
      "predicted": "zero up to floating point"
    },
    "note": "idea uses same input/output widths and hidden width; only recurrent transition differs"
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  "stage2_config": {
    "epochs": 15,
    "batch": 128,
    "lr_union": [
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    "seeds": [
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      1,
      2,
      3,
      4,
      5,
      6,
      7
    ]
  }
}