{
  "seed": 1234,
  "device": "cuda",
  "L": 5,
  "n_samples": 240,
  "math_predictions": {
    "rotation_and_sign_invariance": "feature RMS error should be numerical zero for every flip probability",
    "shell_invariance": "max absolute error should remain numerical zero as shells increase",
    "P2_evenness": "P2(x)-P2(-x) should be exactly zero"
  },
  "invariance_sweep": [
    {
      "flip_probability": 0,
      "observed_rms_feature_error": 0.0,
      "raw_rms_vector_error": 0.8719326019226343
    },
    {
      "flip_probability": 0.25,
      "observed_rms_feature_error": 0.0,
      "raw_rms_vector_error": 0.7873550458918438
    },
    {
      "flip_probability": 0.5,
      "observed_rms_feature_error": 0.0,
      "raw_rms_vector_error": 0.8173445637417917
    },
    {
      "flip_probability": 0.75,
      "observed_rms_feature_error": 0.0,
      "raw_rms_vector_error": 0.8098410187899177
    },
    {
      "flip_probability": 1.0,
      "observed_rms_feature_error": 0.0,
      "raw_rms_vector_error": 0.837383012957255
    }
  ],
  "shell_sweep": [
    {
      "shells": 1,
      "observed_max_abs_error": 0.0,
      "predicted": 0.0
    },
    {
      "shells": 2,
      "observed_max_abs_error": 0.0,
      "predicted": 0.0
    },
    {
      "shells": 3,
      "observed_max_abs_error": 0.0,
      "predicted": 0.0
    },
    {
      "shells": 4,
      "observed_max_abs_error": 0.0,
      "predicted": 0.0
    }
  ],
  "p2_even_max_error": 0.0,
  "phase_experiment": {
    "raw_reconstruction_mse": 0.32357633113861084,
    "invariant_reconstruction_mse": 0.02332080528140068,
    "raw_abs_latent_S_correlations": [
      0.1425247346336275,
      0.03599715832762877
    ],
    "invariant_abs_latent_S_correlations": [
      0.9963475488261233,
      0.9976957769352353
    ],
    "raw_best_abs_corr": 0.1425247346336275,
    "invariant_best_abs_corr": 0.9976957769352353,
    "mean_S_iso": 0.06944233350604005,
    "mean_S_nematic": 0.8484668045415314
  }
}