/opt/hostedtoolcache/Python/3.14.3/x64/lib/python3.14/site-packages/pyro/ops/stats.py:527: SyntaxWarning: "g" is an invalid escape sequence. Such sequences will not work in the future. Did you mean "\g"? A raw string is also an option.
we have :math:ES^{*}(P,Q) ge ES^{*}(Q,Q) with equality holding if and only if :math:P=Q, i.e.
[INFO 03-05 01:38:03] ax.api.client: GenerationStrategy(name='Center+Sobol+MBM:fast', nodes=[CenterGenerationNode(next_node_name='Sobol'), GenerationNode(name='Sobol', generator_specs=[GeneratorSpec(generator_enum=Sobol, generator_key_override=None)], transition_criteria=[MinTrials(transition_to='MBM'), MinTrials(transition_to='MBM')], suggested_experiment_status=ExperimentStatus.INITIALIZATION, pausing_criteria=[MaxTrialsAwaitingData(threshold=5)]), GenerationNode(name='MBM', generator_specs=[GeneratorSpec(generator_enum=BoTorch, generator_key_override=None)], transition_criteria=None, suggested_experiment_status=ExperimentStatus.OPTIMIZATION, pausing_criteria=None)]) chosen based on user input and problem structure.
[INFO 03-05 01:38:03] ax.api.client: Generated new trial 0 with parameters {'x1': 0.0, 'x2': 0.0} using GenerationNode CenterOfSearchSpace.
[INFO 03-05 01:38:03] ax.api.client: Trial 0 marked COMPLETED.
[INFO 03-05 01:38:03] ax.api.client: Generated new trial 1 with parameters {'x1': 4.266022, 'x2': -4.822121} using GenerationNode Sobol.
[INFO 03-05 01:38:03] ax.api.client: Trial 1 marked COMPLETED.
[INFO 03-05 01:38:03] ax.api.client: Generated new trial 2 with parameters {'x1': -5.368553, 'x2': 3.855701} using GenerationNode Sobol.
[INFO 03-05 01:38:03] ax.api.client: Trial 2 marked COMPLETED.
[INFO 03-05 01:38:03] ax.api.client: Generated new trial 3 with parameters {'x1': -3.786525, 'x2': -8.217547} using GenerationNode Sobol.
[INFO 03-05 01:38:03] ax.api.client: Trial 3 marked COMPLETED.
[INFO 03-05 01:38:03] ax.api.client: Generated new trial 4 with parameters {'x1': 5.18399, 'x2': 7.952956} using GenerationNode Sobol.
[INFO 03-05 01:38:04] ax.api.client: Trial 4 marked COMPLETED.
[INFO 03-05 01:38:04] ax.api.client: Generated new trial 5 with parameters {'x1': 4.808173, 'x2': -0.568892} using GenerationNode MBM.
[INFO 03-05 01:38:04] ax.api.client: Trial 5 marked COMPLETED.
[INFO 03-05 01:38:04] ax.api.client: Generated new trial 6 with parameters {'x1': 10.0, 'x2': -3.592432} using GenerationNode MBM.
[INFO 03-05 01:38:04] ax.api.client: Trial 6 marked COMPLETED.
[INFO 03-05 01:38:05] ax.api.client: Generated new trial 7 with parameters {'x1': 2.00463, 'x2': 1.633176} using GenerationNode MBM.
[INFO 03-05 01:38:05] ax.api.client: Trial 7 marked COMPLETED.
[INFO 03-05 01:38:05] ax.api.client: Generated new trial 8 with parameters {'x1': -4.958096, 'x2': 10.0} using GenerationNode MBM.
[INFO 03-05 01:38:05] ax.api.client: Trial 8 marked COMPLETED.
[INFO 03-05 01:38:05] ax.api.client: Generated new trial 9 with parameters {'x1': 4.002125, 'x2': 1.382719} using GenerationNode MBM.
[INFO 03-05 01:38:05] ax.api.client: Trial 9 marked COMPLETED.
[INFO 03-05 01:38:06] ax.api.client: Generated new trial 10 with parameters {'x1': 2.877399, 'x2': 0.644402} using GenerationNode MBM.
[INFO 03-05 01:38:06] ax.api.client: Trial 10 marked COMPLETED.
[INFO 03-05 01:38:06] ax.api.client: Generated new trial 11 with parameters {'x1': -10.0, 'x2': 10.0} using GenerationNode MBM.
[INFO 03-05 01:38:06] ax.api.client: Trial 11 marked COMPLETED.
[INFO 03-05 01:38:06] ax.api.client: Generated new trial 12 with parameters {'x1': -0.477873, 'x2': 4.322502} using GenerationNode MBM.
[INFO 03-05 01:38:06] ax.api.client: Trial 12 marked COMPLETED.
[INFO 03-05 01:38:07] ax.api.client: Generated new trial 13 with parameters {'x1': 0.762403, 'x2': 2.814908} using GenerationNode MBM.
[INFO 03-05 01:38:07] ax.api.client: Trial 13 marked COMPLETED.
[INFO 03-05 01:38:07] ax.api.client: Generated new trial 14 with parameters {'x1': -1.567837, 'x2': 6.386759} using GenerationNode MBM.
[INFO 03-05 01:38:07] ax.api.client: Trial 14 marked COMPLETED.
[INFO 03-05 01:38:07] ax.api.client: Generated new trial 15 with parameters {'x1': 1.109469, 'x2': 2.913954} using GenerationNode MBM.
[INFO 03-05 01:38:07] ax.api.client: Trial 15 marked COMPLETED.
[INFO 03-05 01:38:08] ax.api.client: Generated new trial 16 with parameters {'x1': 10.0, 'x2': -10.0} using GenerationNode MBM.
[INFO 03-05 01:38:08] ax.api.client: Trial 16 marked COMPLETED.
[INFO 03-05 01:38:08] ax.api.client: Generated new trial 17 with parameters {'x1': 0.204819, 'x2': 3.392037} using GenerationNode MBM.
[INFO 03-05 01:38:08] ax.api.client: Trial 17 marked COMPLETED.
[INFO 03-05 01:38:09] ax.api.client: Generated new trial 18 with parameters {'x1': 1.396605, 'x2': 2.400661} using GenerationNode MBM.
[INFO 03-05 01:38:09] ax.api.client: Trial 18 marked COMPLETED.
[INFO 03-05 01:38:09] ax.api.client: Generated new trial 19 with parameters {'x1': 0.681971, 'x2': 3.200464} using GenerationNode MBM.
[INFO 03-05 01:38:09] ax.api.client: Trial 19 marked COMPLETED.
({'x1': 0.7624028159158606, 'x2': 2.8149076761233123},
{'booth': (np.float64(0.5787876457032155), np.float64(2.018419026739593))},
13,
'13_0')