{
  "objective": "minimize (x-1)^2 on fixed five-point domain",
  "domain": [
    0.0,
    0.5,
    1.0,
    1.5,
    2.0
  ],
  "prior_mean": 0,
  "kernel": "exp(-0.5*(a-b)^2), amplitude=1, lengthscale=1 fixed",
  "diagonal_noise_variance_assumption": 0.01,
  "actual_objective_noise_added": false,
  "acquisition": "mean - 1*latent_sd; smallest x breaks exact tie",
  "rounds": [
    {
      "round": 1,
      "observations_before": [
        [
          0.0,
          1.0
        ]
      ],
      "candidate_posterior_before": [
        {
          "x": 0.5,
          "mean": 0.8737593094896985,
          "latent_variance": 0.22891011577088616,
          "latent_sd": 0.4784455201701508,
          "acquisition_mean_minus_sd": 0.3953137893195477
        },
        {
          "x": 1.0,
          "mean": 0.6005254056560727,
          "latent_variance": 0.6357629295332254,
          "latent_sd": 0.7973474333897522,
          "acquisition_mean_minus_sd": -0.19682202773367952
        },
        {
          "x": 1.5,
          "mean": 0.3214380864934156,
          "latent_variance": 0.895644332116966,
          "latent_sd": 0.9463848752579291,
          "acquisition_mean_minus_sd": -0.6249467887645135
        },
        {
          "x": 2.0,
          "mean": 0.1339953299372403,
          "latent_variance": 0.9818657040705602,
          "latent_sd": 0.9908913684509317,
          "acquisition_mean_minus_sd": -0.8568960385136914
        }
      ],
      "selected_x": 2.0,
      "actual_function_observed_y": 1.0,
      "posterior_after_at_all_candidates": [
        {
          "x": 0.0,
          "mean": 0.99126893221019,
          "latent_variance": 0.009899179899466648,
          "latent_sd": 0.09949462246506918,
          "acquisition_mean_minus_sd": 0.8917743097451207
        },
        {
          "x": 0.5,
          "mean": 1.0539702981398176,
          "latent_variance": 0.18595895114439398,
          "latent_sd": 0.4312295805535538,
          "acquisition_mean_minus_sd": 0.6227407175862638
        },
        {
          "x": 1.0,
          "mean": 1.0591320613098258,
          "latent_variance": 0.35760393213095,
          "latent_sd": 0.5979999432533,
          "acquisition_mean_minus_sd": 0.4611321180565259
        },
        {
          "x": 1.5,
          "mean": 1.0539702981398178,
          "latent_variance": 0.18595895114439398,
          "latent_sd": 0.4312295805535538,
          "acquisition_mean_minus_sd": 0.622740717586264
        },
        {
          "x": 2.0,
          "mean": 0.9912689322101901,
          "latent_variance": 0.009899179899466648,
          "latent_sd": 0.09949462246506918,
          "acquisition_mean_minus_sd": 0.891774309745121
        }
      ]
    },
    {
      "round": 2,
      "observations_before": [
        [
          0.0,
          1.0
        ],
        [
          2.0,
          1.0
        ]
      ],
      "candidate_posterior_before": [
        {
          "x": 0.5,
          "mean": 1.0539702981398176,
          "latent_variance": 0.18595895114439398,
          "latent_sd": 0.4312295805535538,
          "acquisition_mean_minus_sd": 0.6227407175862638
        },
        {
          "x": 1.0,
          "mean": 1.0591320613098258,
          "latent_variance": 0.35760393213095,
          "latent_sd": 0.5979999432533,
          "acquisition_mean_minus_sd": 0.4611321180565259
        },
        {
          "x": 1.5,
          "mean": 1.0539702981398178,
          "latent_variance": 0.18595895114439398,
          "latent_sd": 0.4312295805535538,
          "acquisition_mean_minus_sd": 0.622740717586264
        }
      ],
      "selected_x": 1.0,
      "actual_function_observed_y": 0.0,
      "posterior_after_at_all_candidates": [
        {
          "x": 0.0,
          "mean": 0.9760111965707516,
          "latent_variance": 0.009822891221269447,
          "latent_sd": 0.09911050005559173,
          "acquisition_mean_minus_sd": 0.8769006965151599
        },
        {
          "x": 0.5,
          "mean": 0.35317695552018213,
          "latent_variance": 0.02502048666130985,
          "latent_sd": 0.15817865425306238,
          "acquisition_mean_minus_sd": 0.19499830126711976
        },
        {
          "x": 1.0,
          "mean": 0.028811771821105836,
          "latent_variance": 0.00972796808940446,
          "latent_sd": 0.09863046227917853,
          "acquisition_mean_minus_sd": -0.0698186904580727
        },
        {
          "x": 1.5,
          "mean": 0.35317695552018213,
          "latent_variance": 0.02502048666130985,
          "latent_sd": 0.15817865425306238,
          "acquisition_mean_minus_sd": 0.19499830126711976
        },
        {
          "x": 2.0,
          "mean": 0.9760111965707516,
          "latent_variance": 0.009822891221269447,
          "latent_sd": 0.09911050005559173,
          "acquisition_mean_minus_sd": 0.8769006965151599
        }
      ]
    }
  ],
  "objective_calls": [
    0.0,
    2.0,
    1.0
  ],
  "total_function_evaluations_including_initial": 3,
  "hyperparameters_fitted": false,
  "BoTorch_or_GP_library_executed": false
}