{
  "seed": 2761,
  "rows": [
    {
      "gamma": 0.0,
      "alpha_bar": 1.0,
      "mean_edit": 0.0,
      "raw_validity": 1.0,
      "post_repair_validity": 1.0,
      "mean_accuracy": 77.1825237632243,
      "p95_edit": 0.0
    },
    {
      "gamma": 0.05,
      "alpha_bar": 0.99,
      "mean_edit": 0.01375,
      "raw_validity": 0.985,
      "post_repair_validity": 1.0,
      "mean_accuracy": 77.20209463277646,
      "p95_edit": 0.125
    },
    {
      "gamma": 0.15,
      "alpha_bar": 0.9258820055401665,
      "mean_edit": 0.060625,
      "raw_validity": 0.955,
      "post_repair_validity": 1.0,
      "mean_accuracy": 77.09487255802566,
      "p95_edit": 0.25
    },
    {
      "gamma": 0.3,
      "alpha_bar": 0.7420133348094461,
      "mean_edit": 0.200625,
      "raw_validity": 0.85,
      "post_repair_validity": 1.0,
      "mean_accuracy": 77.48550950572152,
      "p95_edit": 0.5
    },
    {
      "gamma": 0.6,
      "alpha_bar": 0.29991795168457636,
      "mean_edit": 0.499375,
      "raw_validity": 0.755,
      "post_repair_validity": 1.0,
      "mean_accuracy": 77.1911932121219,
      "p95_edit": 0.75
    },
    {
      "gamma": 1.0,
      "alpha_bar": 0.030871261192240658,
      "mean_edit": 0.701875,
      "raw_validity": 0.725,
      "post_repair_validity": 1.0,
      "mean_accuracy": 77.26988210452124,
      "p95_edit": 0.8812499999999979
    }
  ],
  "independent": {
    "mean_edit": 0.723125,
    "validity": 1.0
  },
  "retention_check": [
    {
      "gamma": 0.05,
      "predicted_retention": 0.99,
      "observed_retention": 0.9899,
      "absolute_error": 9.999999999998899e-05
    },
    {
      "gamma": 0.15,
      "predicted_retention": 0.9258820055401662,
      "observed_retention": 0.9255,
      "absolute_error": 0.00038200554016620814
    },
    {
      "gamma": 0.3,
      "predicted_retention": 0.7420133348094462,
      "observed_retention": 0.7392,
      "absolute_error": 0.002813334809446233
    },
    {
      "gamma": 0.6,
      "predicted_retention": 0.2999179516845764,
      "observed_retention": 0.2977,
      "absolute_error": 0.0022179516845763914
    },
    {
      "gamma": 1.0,
      "predicted_retention": 0.030871261192240654,
      "observed_retention": 0.03045,
      "absolute_error": 0.0004212611922406531
    }
  ],
  "predictions": {
    "P1": "categorical q retains each token with alpha_bar; observed retention should match alpha_bar within 0.01",
    "P2": "edit distance should increase monotonically with gamma",
    "P3": "gamma=1 mutation edit distance should approach independent-prior edit distance; gap expected small relative to 1 token fraction"
  },
  "convergence": {
    "gamma1_vs_independent_absolute_edit_gap": 0.02124999999999999,
    "gamma005_vs_independent_absolute_edit_gap": 0.709375
  }
}