code: def test_study_optimize_with_multiple_search_spaces() -> None:
      def objective(trial: Trial) -> float:
          a = trial.suggest_int("a", 0, 100)
          b = trial.suggest_float("b", -100, 100)
  
          return a * b
  
      # Run 3 trials with a search space.
      search_space_0 = {"a": [0, 50], "b": [-50, 0, 50]}
      sampler_0 = samplers.GridSampler(search_space_0)
      study = optuna.create_study(sampler=sampler_0)
      study.optimize(objective, n_trials=3)
  
      assert len(study.trials) == 3
      for t in study.trials:
          assert sampler_0._same_search_space(
              t.system_attrs["search_space"]
          )
  
      # Run 2 trials with another space.
      search_space_1 = {"a": [0, 25], "b": [-50]}
      sampler_1 = samplers.GridSampler(search_space_1)
      study.sampler = sampler_1
      study.optimize(objective, n_trials=2)
  
      assert not sampler_0._same_search_space(sampler_1._search_space)
      assert len(study.trials) == 5
      for t in study.trials[:3]:
          assert sampler_0._same_search_space(
              t.system_attrs["search_space"]
          )
      for t in study.trials[3:5]:
          assert sampler_1._same_search_space(
              t.system_attrs["search_space"]
          )
  
      # Run 3 trials with the first search space again.
      study.sampler = sampler_0
      study.optimize(objective, n_trials=3)
  
      assert len(study.trials) == 8
      for t in study.trials[:3]:
          assert sampler_0._same_search_space(
              t.system_attrs["search_space"]
          )
      for t in study.trials[3:5]:
          assert sampler_1._same_search_space(
              t.system_attrs["search_space"]
          )
      for t in study.trials[5:]:
          assert sampler_0._same_search_space(
              t.system_attrs["search_space"]
          )
  
imports: import itertools
  from typing import Dict
  from typing import List
  from typing import Mapping
  from typing import Sequence
  from typing import Union
  from typing import ValuesView
  import numpy
  import pytest
  import optuna
  from optuna import samplers
  from optuna.samplers._grid import GridValueType
  from optuna.storages import RetryFailedTrialCallback
  from optuna.testing.objectives import fail_objective
  from optuna.testing.objectives import pruned_objective
  from optuna.testing.storages import StorageSupplier
  from optuna.trial import Trial
label_desc: Use image node_id 6 for calling a global function with example usage: test_study_optimize_with_multiple_search_spaces() and returns: unknown