code: def test_call_after_trial_of_independent_sampler() -> None:
      independent_sampler = optuna.samplers.RandomSampler()
      with warnings.catch_warnings():
          warnings.simplefilter(
              "ignore", optuna.exceptions.ExperimentalWarning
          )
          sampler = BoTorchSampler(
              independent_sampler=independent_sampler
          )
      study = optuna.create_study(sampler=sampler)
      with patch.object(
          independent_sampler,
          "after_trial",
          wraps=independent_sampler.after_trial,
      ) as mock_object:
          study.optimize(lambda _: 1.0, n_trials=1)
          assert mock_object.call_count == 1
  
imports: from typing import Any
  from typing import Optional
  from typing import Sequence
  from typing import Tuple
  from unittest.mock import patch
  import warnings
  from packaging import version
  import pytest
  import optuna
  from optuna import integration
  from optuna._imports import try_import
  from optuna.integration import BoTorchSampler
  from optuna.samplers import RandomSampler
  from optuna.samplers._base import _CONSTRAINTS_KEY
  from optuna.storages import RDBStorage
  from optuna.trial import FrozenTrial
  from optuna.trial import Trial
  from optuna.trial import TrialState
label_desc: Use image node_id 16 for calling a global function with example usage: test_call_after_trial_of_independent_sampler() without return types