code: def search_space() -> Dict[str, BaseDistribution]:
      return {
          "c": CategoricalDistribution(("a", "b")),
          "d": FloatDistribution(-1, 9, step=2),
          "i": IntDistribution(-1, 1),
          "ii": IntDistribution(-1, 3, step=2),
          "il": IntDistribution(2, 16, log=True),
          "l": FloatDistribution(0.001, 0.1, log=True),
          "u": FloatDistribution(-2, 2),
      }
  
imports: import math
  from typing import Any
  from typing import Dict
  from unittest.mock import call
  from unittest.mock import patch
  import warnings
  import _pytest.capture
  import pytest
  import optuna
  from optuna._imports import try_import
  from optuna.distributions import BaseDistribution
  from optuna.distributions import CategoricalDistribution
  from optuna.distributions import FloatDistribution
  from optuna.distributions import IntDistribution
  from optuna.integration.cma import _Optimizer
  from optuna.study._study_direction import StudyDirection
  from optuna.testing.distributions import UnsupportedDistribution
  from optuna.testing.trials import _create_frozen_trial
  from optuna.trial import Trial
  from optuna.trial import TrialState
label_desc: Use image node_id 1 for calling the TestOptimizer obj's underlying member method code with example usage: obj.search_space() and returns: dict