1{
  2  "seed": 2761,
  3  "rows": [
  4    {
  5      "gamma": 0.0,
  6      "alpha_bar": 1.0,
  7      "mean_edit": 0.0,
  8      "raw_validity": 1.0,
  9      "post_repair_validity": 1.0,
 10      "mean_accuracy": 77.1825237632243,
 11      "p95_edit": 0.0
 12    },
 13    {
 14      "gamma": 0.05,
 15      "alpha_bar": 0.99,
 16      "mean_edit": 0.01375,
 17      "raw_validity": 0.985,
 18      "post_repair_validity": 1.0,
 19      "mean_accuracy": 77.20209463277646,
 20      "p95_edit": 0.125
 21    },
 22    {
 23      "gamma": 0.15,
 24      "alpha_bar": 0.9258820055401665,
 25      "mean_edit": 0.060625,
 26      "raw_validity": 0.955,
 27      "post_repair_validity": 1.0,
 28      "mean_accuracy": 77.09487255802566,
 29      "p95_edit": 0.25
 30    },
 31    {
 32      "gamma": 0.3,
 33      "alpha_bar": 0.7420133348094461,
 34      "mean_edit": 0.200625,
 35      "raw_validity": 0.85,
 36      "post_repair_validity": 1.0,
 37      "mean_accuracy": 77.48550950572152,
 38      "p95_edit": 0.5
 39    },
 40    {
 41      "gamma": 0.6,
 42      "alpha_bar": 0.29991795168457636,
 43      "mean_edit": 0.499375,
 44      "raw_validity": 0.755,
 45      "post_repair_validity": 1.0,
 46      "mean_accuracy": 77.1911932121219,
 47      "p95_edit": 0.75
 48    },
 49    {
 50      "gamma": 1.0,
 51      "alpha_bar": 0.030871261192240658,
 52      "mean_edit": 0.701875,
 53      "raw_validity": 0.725,
 54      "post_repair_validity": 1.0,
 55      "mean_accuracy": 77.26988210452124,
 56      "p95_edit": 0.8812499999999979
 57    }
 58  ],
 59  "independent": {
 60    "mean_edit": 0.723125,
 61    "validity": 1.0
 62  },
 63  "retention_check": [
 64    {
 65      "gamma": 0.05,
 66      "predicted_retention": 0.99,
 67      "observed_retention": 0.9899,
 68      "absolute_error": 9.999999999998899e-05
 69    },
 70    {
 71      "gamma": 0.15,
 72      "predicted_retention": 0.9258820055401662,
 73      "observed_retention": 0.9255,
 74      "absolute_error": 0.00038200554016620814
 75    },
 76    {
 77      "gamma": 0.3,
 78      "predicted_retention": 0.7420133348094462,
 79      "observed_retention": 0.7392,
 80      "absolute_error": 0.002813334809446233
 81    },
 82    {
 83      "gamma": 0.6,
 84      "predicted_retention": 0.2999179516845764,
 85      "observed_retention": 0.2977,
 86      "absolute_error": 0.0022179516845763914
 87    },
 88    {
 89      "gamma": 1.0,
 90      "predicted_retention": 0.030871261192240654,
 91      "observed_retention": 0.03045,
 92      "absolute_error": 0.0004212611922406531
 93    }
 94  ],
 95  "predictions": {
 96    "P1": "categorical q retains each token with alpha_bar; observed retention should match alpha_bar within 0.01",
 97    "P2": "edit distance should increase monotonically with gamma",
 98    "P3": "gamma=1 mutation edit distance should approach independent-prior edit distance; gap expected small relative to 1 token fraction"
 99  },
100  "convergence": {
101    "gamma1_vs_independent_absolute_edit_gap": 0.02124999999999999,
102    "gamma005_vs_independent_absolute_edit_gap": 0.709375
103  }
104}