{
  "normalization": [
    {
      "r": 0,
      "integral": 1.0,
      "error": 0.0
    },
    {
      "r": 0.2,
      "integral": 1.0,
      "error": 0.0
    },
    {
      "r": 0.5,
      "integral": 1.0000000000000002,
      "error": 2.220446049250313e-16
    },
    {
      "r": 0.8,
      "integral": 0.9999999999999991,
      "error": 8.881784197001252e-16
    },
    {
      "r": 0.95,
      "integral": 1.000000000000022,
      "error": 2.19824158875781e-14
    }
  ],
  "contraction": [
    {
      "q": 0.2,
      "predicted_log_slope": -1.6094379124341003,
      "observed_log_slope": -1.6094379115815634,
      "relative_error": 5.29710977574285e-10,
      "error_K1": 0.07513321502504734,
      "error_K12": 1.5387282814513952e-09
    },
    {
      "q": 0.5,
      "predicted_log_slope": -0.6931471805599453,
      "observed_log_slope": -0.6931471805599542,
      "relative_error": 1.2813706015259671e-14,
      "error_K1": 0.18783303756261838,
      "error_K12": 9.171535037234831e-05
    },
    {
      "q": 0.8,
      "predicted_log_slope": -0.2231435513142097,
      "observed_log_slope": -0.2231435513142096,
      "relative_error": 4.975375797716176e-16,
      "error_K1": 0.3005328601001894,
      "error_K12": 0.025815576110073207
    }
  ],
  "likelihood": [
    {
      "r": 0,
      "pk_nll": -0.0,
      "uniform_nll": 0.0,
      "pk_minus_uniform": -0.0
    },
    {
      "r": 0.2,
      "pk_nll": -0.040533486181156334,
      "uniform_nll": 0.0,
      "pk_minus_uniform": -0.040533486181156334
    },
    {
      "r": 0.5,
      "pk_nll": -0.2873012173898093,
      "uniform_nll": 0.0,
      "pk_minus_uniform": -0.2873012173898093
    },
    {
      "r": 0.8,
      "pk_nll": -1.0219126501075335,
      "uniform_nll": 0.0,
      "pk_minus_uniform": -1.0219126501075335
    }
  ],
  "kl": [
    {
      "r": 0,
      "empirical_to_pk": 0.0001218988372733076,
      "empirical_to_uniform": 0.0001218988372733076
    },
    {
      "r": 0.2,
      "empirical_to_pk": 0.000122082190330539,
      "empirical_to_uniform": 0.04058100614145779
    },
    {
      "r": 0.5,
      "empirical_to_pk": 0.00012368015780408505,
      "empirical_to_uniform": 0.2867618449658217
    },
    {
      "r": 0.8,
      "empirical_to_pk": 0.0002914494070245851,
      "empirical_to_uniform": 1.014615622911803
    }
  ],
  "summary": {
    "max_normalization_error": 2.19824158875781e-14,
    "contraction_relative_errors": [
      5.29710977574285e-10,
      1.2813706015259671e-14,
      4.975375797716176e-16
    ],
    "pk_nll_becomes_more_negative_with_radius": true
  }
}