{
  "math": {
    "predictions": {
      "phase identity": "max error should be machine precision for every integer m",
      "operator covariance": "relative residual should be machine precision for every integer m",
      "naive alias mismatch": "RMS should be sqrt(2)=1.41421356 for nonzero integer m (unit-modulus f)"
    },
    "rows": [
      {
        "m": -3,
        "phase_identity_max": 2.7755575615628914e-16,
        "operator_relative_error": 5.327479555684243e-15,
        "naive_factor_rms": 1.4142135623730951
      },
      {
        "m": -2,
        "phase_identity_max": 2.7755575615628914e-16,
        "operator_relative_error": 2.2758485719395947e-15,
        "naive_factor_rms": 1.4142135623730951
      },
      {
        "m": -1,
        "phase_identity_max": 3.376611507232129e-16,
        "operator_relative_error": 5.63873769827775e-16,
        "naive_factor_rms": 1.4142135623730951
      },
      {
        "m": 0,
        "phase_identity_max": 0.0,
        "operator_relative_error": 0.0,
        "naive_factor_rms": 0.0
      },
      {
        "m": 1,
        "phase_identity_max": 3.376611507232129e-16,
        "operator_relative_error": 7.465067955672428e-16,
        "naive_factor_rms": 1.4142135623730951
      },
      {
        "m": 2,
        "phase_identity_max": 2.7755575615628914e-16,
        "operator_relative_error": 2.5505757618482353e-15,
        "naive_factor_rms": 1.4142135623730951
      },
      {
        "m": 3,
        "phase_identity_max": 3.433175098891678e-16,
        "operator_relative_error": 6.59984186903115e-15,
        "naive_factor_rms": 1.4142135623730951
      }
    ],
    "max_phase_error": 3.433175098891678e-16,
    "max_operator_error": 6.59984186903115e-15,
    "naive_nonzero_mean": 1.4142135623730951
  },
  "mlp": {
    "training_steps": 900,
    "test_rows": [
      {
        "m": -3,
        "raw_rmse": 0.8345807790756226,
        "canonical_gauge_rmse": 0.023443683981895447
      },
      {
        "m": -2,
        "raw_rmse": 0.9050758481025696,
        "canonical_gauge_rmse": 0.023443683981895447
      },
      {
        "m": -1,
        "raw_rmse": 1.0948097705841064,
        "canonical_gauge_rmse": 0.023443685844540596
      },
      {
        "m": 0,
        "raw_rmse": 0.026922335848212242,
        "canonical_gauge_rmse": 0.023443685844540596
      },
      {
        "m": 1,
        "raw_rmse": 0.9201655387878418,
        "canonical_gauge_rmse": 0.023443685844540596
      },
      {
        "m": 2,
        "raw_rmse": 0.79060298204422,
        "canonical_gauge_rmse": 0.023443683981895447
      },
      {
        "m": 3,
        "raw_rmse": 0.7406444549560547,
        "canonical_gauge_rmse": 0.023443683981895447
      }
    ],
    "raw_nonzero_mean": 0.8809798955917358,
    "canonical_nonzero_mean": 0.023443684602777164
  }
}