{
  "seed": 2805,
  "device": "cuda",
  "math_checks": {
    "support_derivative": {
      "amplitudes": [
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        0.1,
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      "observed": [
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        0.9979930326586839,
        0.009997991323729138,
        9.999778782798785e-05,
        9.992007221626409e-07
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      "predicted": [
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        0.009998000299960005,
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        9.99998000003e-07
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      "r": [
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        0.9,
        1.0,
        1.1,
        1.3
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      "h": 8,
      "observed_norm": [
        0.05764800999999997,
        0.4304672100000001,
        1.0,
        2.1435888100000016,
        8.157307210000003
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      "predicted_norm": [
        0.05764800999999997,
        0.4304672100000001,
        1.0,
        2.1435888100000016,
        8.157307210000003
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      "max_abs_error": 0.0
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    "support_perturbation": {
      "amplitudes": [
        0.0001,
        0.001,
        0.01,
        0.1,
        1.0
      ],
      "delta": 1e-08,
      "observed": [
        1.9605921180998465e-06,
        1.9960059938206598e-08,
        1.999600485191877e-10,
        1.999955756559757e-12,
        2.0095036745715333e-14
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      "predicted": [
        1.960592098813842e-06,
        1.9960059920099882e-08,
        1.999600059992001e-10,
        1.9999600005999918e-12,
        1.9999960000060002e-14
      ],
      "max_relative_error": 0.004753846790445907
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  },
  "baseline_vs_idea": {
    "dense": {
      "mse20": 0.013982363045215607,
      "tau": 0.44852402806282043,
      "active_fraction": 0.2552083333333333,
      "mask_basin_acc": 0.6833333333333333,
      "support_step_change": 3.344088327139616e-05
    },
    "sparse": {
      "mse20": 0.015889065340161324,
      "tau": 0.5095030665397644,
      "active_fraction": 0.24583333333333332,
      "mask_basin_acc": 0.8,
      "support_step_change": 1.9406295450608013e-06
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  },
  "eta_ablation": {
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      "mse20": 0.01531179342418909,
      "tau": 0.4586939811706543,
      "active_fraction": 0.259375,
      "mask_basin_acc": 0.5833333333333334,
      "support_step_change": 6.617964390898123e-05
    },
    "0.001": {
      "mse20": 0.013890204951167107,
      "tau": 0.47342562675476074,
      "active_fraction": 0.25625,
      "mask_basin_acc": 0.6166666666666667,
      "support_step_change": 1.9517667169566266e-05
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    "0.005": {
      "mse20": 0.014064430259168148,
      "tau": 0.45275992155075073,
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      "mask_basin_acc": 0.8166666666666667,
      "support_step_change": 1.566205583003466e-06
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  },
  "runtime_sec": 68.79585385322571,
  "predictions": [
    "support derivative scales as epsilon/(a+epsilon)^2",
    "linear rollout norm scales exactly as spectral radius^h",
    "small support perturbations scale as 2 epsilon |delta|/(a+epsilon)^2"
  ]
}