{
  "fisher_check": {
    "mc_fisher": 3.6009521119022847,
    "exact_fisher": 3.6033200655787456,
    "relative_error": 0.0006571588516604875
  },
  "predictions": {
    "equal_arc_arc_cv": [
      {
        "range": "1->2",
        "fisher_length": 0.49012907173427356,
        "predicted_equal_arc_cv": 0.0,
        "observed_geodesic_arc_cv": 3.618950492548928e-15,
        "observed_geodesic_local_kl_cv": 3.605744941709963e-15,
        "observed_linear_local_kl_cv": 0.40633505526703667,
        "predicted_kl": 0.003753539171235948,
        "observed_kl": 0.0037265836831748035,
        "ratio_linear_over_geodesic": 1.0400239132819706
      },
      {
        "range": "1->10",
        "fisher_length": 1.6281735335151468,
        "predicted_equal_arc_cv": 0.0,
        "observed_geodesic_arc_cv": 1.4892538395641484e-15,
        "observed_geodesic_local_kl_cv": 1.6721877890885778e-15,
        "observed_linear_local_kl_cv": 1.584235554644539,
        "predicted_kl": 0.04142107898811248,
        "observed_kl": 0.040445201372206536,
        "ratio_linear_over_geodesic": 1.484563478020251
      },
      {
        "range": "0.05->20",
        "fisher_length": 4.2366052104988405,
        "predicted_equal_arc_cv": 0.0,
        "observed_geodesic_arc_cv": 9.578454991768582e-16,
        "observed_geodesic_local_kl_cv": 1.7859771779400183e-15,
        "observed_linear_local_kl_cv": 4.530923800284775,
        "predicted_kl": 0.28045037046290505,
        "observed_kl": 0.26373670583429587,
        "ratio_linear_over_geodesic": 3.8963408349839375
      }
    ],
    "wide_range_loglog_slope_geodesic": -0.9499621309387816,
    "wide_range_loglog_slope_linear_baseline": -0.47820835130207645,
    "asymptotic_target_slope": -1.0
  },
  "rows": [
    {
      "q0": 1.0,
      "q1": 2.0,
      "N": 4,
      "L": 0.49012907173427356,
      "baseline_cumulative_kl": 0.029311685518067898,
      "geodesic_cumulative_kl": 0.02836642078740173,
      "baseline_local_kl_cv": 0.37659783818547754,
      "geodesic_local_kl_cv": 9.78465905996709e-16,
      "baseline_arc_cv": 0.1938588357899996,
      "geodesic_arc_cv": 4.936811799399658e-16,
      "predicted_leading_kl": 0.030028313369887583
    },
    {
      "q0": 1.0,
      "q1": 2.0,
      "N": 8,
      "L": 0.49012907173427356,
      "baseline_cumulative_kl": 0.01513766509404748,
      "geodesic_cumulative_kl": 0.014589763098657602,
      "baseline_local_kl_cv": 0.39692258765629795,
      "geodesic_local_kl_cv": 1.6475273393579767e-15,
      "baseline_arc_cv": 0.19974439665464883,
      "geodesic_arc_cv": 7.512701079464781e-16,
      "predicted_leading_kl": 0.015014156684943792
    },
    {
      "q0": 1.0,
      "q1": 2.0,
      "N": 16,
      "L": 0.49012907173427356,
      "baseline_cumulative_kl": 0.007690489176209212,
      "geodesic_cumulative_kl": 0.007399835868561827,
      "baseline_local_kl_cv": 0.40379652467975075,
      "geodesic_local_kl_cv": 4.593817956447413e-15,
      "baseline_arc_cv": 0.20121410604922732,
      "geodesic_arc_cv": 2.4132243420023437e-15,
      "predicted_leading_kl": 0.007507078342471896
    },
    {
      "q0": 1.0,
      "q1": 2.0,
      "N": 32,
      "L": 0.49012907173427356,
      "baseline_cumulative_kl": 0.003875736145348198,
      "geodesic_cumulative_kl": 0.0037265836831748035,
      "baseline_local_kl_cv": 0.40633505526703667,
      "geodesic_local_kl_cv": 3.605744941709963e-15,
      "baseline_arc_cv": 0.20158150285670132,
      "geodesic_arc_cv": 3.618950492548928e-15,
      "predicted_leading_kl": 0.003753539171235948
    },
    {
      "q0": 1.0,
      "q1": 2.0,
      "N": 64,
      "L": 0.49012907173427356,
      "baseline_cumulative_kl": 0.0019454958382709763,
      "geodesic_cumulative_kl": 0.0018700124871881474,
      "baseline_local_kl_cv": 0.4073709552529381,
      "geodesic_local_kl_cv": 1.5626211002340016e-14,
      "baseline_arc_cv": 0.2016733513604467,
      "geodesic_arc_cv": 4.309583557947803e-15,
      "predicted_leading_kl": 0.001876769585617974
    },
    {
      "q0": 1.0,
      "q1": 2.0,
      "N": 128,
      "L": 0.49012907173427356,
      "baseline_cumulative_kl": 0.0009746551659186595,
      "geodesic_cumulative_kl": 0.0009366932324958955,
      "baseline_local_kl_cv": 0.40782957473499465,
      "geodesic_local_kl_cv": 3.962297220547526e-14,
      "baseline_arc_cv": 0.2016963134618878,
      "geodesic_arc_cv": 2.0346644829505188e-14,
      "predicted_leading_kl": 0.000938384792808987
    },
    {
      "q0": 1.0,
      "q1": 10.0,
      "N": 4,
      "L": 1.6281735335151468,
      "baseline_cumulative_kl": 0.34293195547514155,
      "geodesic_cumulative_kl": 0.2759751968777211,
      "baseline_local_kl_cv": 1.076499229837126,
      "geodesic_local_kl_cv": 0.0,
      "baseline_arc_cv": 0.6282175466217819,
      "geodesic_arc_cv": 6.81882490884273e-17,
      "predicted_leading_kl": 0.33136863190489985
    },
    {
      "q0": 1.0,
      "q1": 10.0,
      "N": 8,
      "L": 1.6281735335151468,
      "baseline_cumulative_kl": 0.2055489979942131,
      "geodesic_cumulative_kl": 0.1508693838268461,
      "baseline_local_kl_cv": 1.3435816082309942,
      "geodesic_local_kl_cv": 7.125162136746474e-16,
      "baseline_arc_cv": 0.6932811114078883,
      "geodesic_arc_cv": 2.362110238006365e-16,
      "predicted_leading_kl": 0.16568431595244992
    },
    {
      "q0": 1.0,
      "q1": 10.0,
      "N": 16,
      "L": 1.6281735335151468,
      "baseline_cumulative_kl": 0.11387899400578094,
      "geodesic_cumulative_kl": 0.07900713337754564,
      "baseline_local_kl_cv": 1.505924209393667,
      "geodesic_local_kl_cv": 1.36059717051173e-15,
      "baseline_arc_cv": 0.7169003465774194,
      "geodesic_arc_cv": 6.78464512012821e-16,
      "predicted_leading_kl": 0.08284215797622496
    },
    {
      "q0": 1.0,
      "q1": 10.0,
      "N": 32,
      "L": 1.6281735335151468,
      "baseline_cumulative_kl": 0.06004346881835236,
      "geodesic_cumulative_kl": 0.040445201372206536,
      "baseline_local_kl_cv": 1.584235554644539,
      "geodesic_local_kl_cv": 1.6721877890885778e-15,
      "baseline_arc_cv": 0.72395220868711,
      "geodesic_arc_cv": 1.4892538395641484e-15,
      "predicted_leading_kl": 0.04142107898811248
    },
    {
      "q0": 1.0,
      "q1": 10.0,
      "N": 64,
      "L": 1.6281735335151468,
      "baseline_cumulative_kl": 0.03082650437929147,
      "geodesic_cumulative_kl": 0.020464383655397694,
      "baseline_local_kl_cv": 1.6174087308546914,
      "geodesic_local_kl_cv": 2.911874078437661e-15,
      "baseline_arc_cv": 0.725829387424644,
      "geodesic_arc_cv": 2.3423432776217014e-15,
      "predicted_leading_kl": 0.02071053949405624
    },
    {
      "q0": 1.0,
      "q1": 10.0,
      "N": 128,
      "L": 1.6281735335151468,
      "baseline_cumulative_kl": 0.015616480375599625,
      "geodesic_cumulative_kl": 0.010293454531442387,
      "baseline_local_kl_cv": 1.6313831612792242,
      "geodesic_local_kl_cv": 7.911792714844343e-15,
      "baseline_arc_cv": 0.7263072239406889,
      "geodesic_arc_cv": 5.7235876508961925e-15,
      "predicted_leading_kl": 0.01035526974702812
    },
    {
      "q0": 0.05,
      "q1": 20.0,
      "N": 4,
      "L": 4.2366052104988405,
      "baseline_cumulative_kl": 1.9611428618147428,
      "geodesic_cumulative_kl": 1.4429458690539487,
      "baseline_local_kl_cv": 1.5566608227199317,
      "geodesic_local_kl_cv": 0.0,
      "baseline_arc_cv": 1.2045331342394232,
      "geodesic_arc_cv": 1.8155693918500787e-16,
      "predicted_leading_kl": 2.2436029637032404
    },
    {
      "q0": 0.05,
      "q1": 20.0,
      "N": 8,
      "L": 4.2366052104988405,
      "baseline_cumulative_kl": 1.651880249779731,
      "geodesic_cumulative_kl": 0.8872154915603425,
      "baseline_local_kl_cv": 2.32500868027338,
      "geodesic_local_kl_cv": 3.539371153049773e-16,
      "baseline_arc_cv": 1.6207305310055529,
      "geodesic_arc_cv": 1.657380517720374e-16,
      "predicted_leading_kl": 1.1218014818516202
    },
    {
      "q0": 0.05,
      "q1": 20.0,
      "N": 16,
      "L": 4.2366052104988405,
      "baseline_cumulative_kl": 1.336202730018181,
      "geodesic_cumulative_kl": 0.4969804490230478,
      "baseline_local_kl_cv": 3.299101096258629,
      "geodesic_local_kl_cv": 8.283660183966328e-16,
      "baseline_arc_cv": 2.0287755739867834,
      "geodesic_arc_cv": 4.0934279157163905e-16,
      "predicted_leading_kl": 0.5609007409258101
    },
    {
      "q0": 0.05,
      "q1": 20.0,
      "N": 32,
      "L": 4.2366052104988405,
      "baseline_cumulative_kl": 1.0276080966263135,
      "geodesic_cumulative_kl": 0.26373670583429587,
      "baseline_local_kl_cv": 4.530923800284775,
      "geodesic_local_kl_cv": 1.7859771779400183e-15,
      "baseline_arc_cv": 2.4101255518340534,
      "geodesic_arc_cv": 9.578454991768582e-16,
      "predicted_leading_kl": 0.28045037046290505
    },
    {
      "q0": 0.05,
      "q1": 20.0,
      "N": 64,
      "L": 4.2366052104988405,
      "baseline_cumulative_kl": 0.7409426703964107,
      "geodesic_cumulative_kl": 0.13594990599351803,
      "baseline_local_kl_cv": 6.0236813166035486,
      "geodesic_local_kl_cv": 3.6635258704470875e-15,
      "baseline_arc_cv": 2.7318161032192374,
      "geodesic_arc_cv": 1.6920304771622712e-15,
      "predicted_leading_kl": 0.14022518523145253
    },
    {
      "q0": 0.05,
      "q1": 20.0,
      "N": 128,
      "L": 4.2366052104988405,
      "baseline_cumulative_kl": 0.49359391687057164,
      "geodesic_cumulative_kl": 0.06903132438519352,
      "baseline_local_kl_cv": 7.67293811279046,
      "geodesic_local_kl_cv": 5.8749337375522186e-15,
      "baseline_arc_cv": 2.9622659676011325,
      "geodesic_arc_cv": 3.3599787913260346e-15,
      "predicted_leading_kl": 0.07011259261572626
    }
  ]
}