{
  "bench_version": 1,
  "track": "dynamics",
  "model": "su11_scan_matched",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.006
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    "sweep": [
      {
        "cfg": {
          "lr": 0.001
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        "mean": 0.6121751964092255
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      {
        "cfg": {
          "lr": 0.003
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        "mean": 0.31023339182138443
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      {
        "cfg": {
          "lr": 0.006
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        "mean": 0.02995142457075417
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    ],
    "full": {
      "mean": 0.035023413598537445,
      "std": 0.022148416496165235,
      "per_seed": [
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        0.0673612505197525,
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        0.04443933442234993,
        0.010387144051492214,
        0.0372326523065567,
        0.06832247972488403
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      "n": 8
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  },
  "idea": {
    "mean": 0.03177711000898853,
    "std": 0.020838650231134917,
    "per_seed": [
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      0.02086794376373291,
      0.04112565889954567,
      0.008823038078844547,
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      0.06324773281812668
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    "n": 8
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  "comparison": {
    "delta_mean": -0.0032463035895489156,
    "idea_wins": 8,
    "n_pairs": 8,
    "per_seed_diffs": [
      -0.0014031860046088696,
      -0.00315655954182148,
      -0.005718611180782318,
      -0.0031990855932235718,
      -0.0033136755228042603,
      -0.001564105972647667,
      -0.002540457993745804,
      -0.005074746906757355
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    "p_value": 0.0081,
    "mde": 0.0012718422855006327,
    "mde_rel_pct": 3.6314058363338515,
    "verdict": "idea better (significant)",
    "system_worked": true
  },
  "idea_sweep": [
    {
      "cfg": {
        "lr": 0.001
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      "mean": 0.60923171043396
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    {
      "cfg": {
        "lr": 0.003
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      "mean": 0.30314522609114647
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    {
      "cfg": {
        "lr": 0.006
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      "mean": 0.02658206399064511
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  "idea_best_cfg": {
    "lr": 0.006
  },
  "baseline_definition": "Euler discretization of the same learned SU(1,1) generator; exact exponential is the sole intervention.",
  "protocol_note": "Identical trained systems, data, parameters, optimizer, epochs, and learning-rate grid; lower MSE is better.",
  "mechanism_signature": {
    "prediction": "Exact exponential preserves |a|^2-|b|^2=1 while Euler drift accumulates.",
    "predicted_exact_invariant_error": 0.0,
    "observed_exact_mean_error": 2.8064474122402316e-07,
    "observed_exact_max_error": 1.430511474609375e-06,
    "observed_euler_mean_error": 0.029417473822832108,
    "observed_euler_max_error": 0.10198694467544556,
    "confirmed": true
  },
  "timing_seconds": 95.12729549407959,
  "parameter_counts": {
    "baseline": 193,
    "idea": 193
  }
}