code: def test_prepare_module_compile_module_state_dict(self) -> None:
      device = init_from_env()
      my_module = torch.nn.Linear(2, 2, device=device)
      my_module_state_dict = my_module.state_dict()
      self.assertIsNone(my_module._compiled_call_impl)
      compiled_module = prepare_module(
          module=my_module,
          device=device,
          torch_compile_params=TorchCompileParams(backend="inductor"),
      )
      compiled_state_dict = compiled_module.state_dict()
      self.assertCountEqual(
          compiled_state_dict.keys(), my_module_state_dict.keys()
      )
      for k in compiled_state_dict.keys():
          self.assertTrue(
              torch.allclose(
                  my_module_state_dict[k], compiled_state_dict[k]
              )
          )
      self.assertIsNotNone(compiled_module._compiled_call_impl)
  
imports: import unittest
  from unittest.mock import patch
  import torch
  from torch.distributed.fsdp import FullyShardedDataParallel
  from torch.distributed.fsdp.fully_sharded_data_parallel import MixedPrecision
  from torch.nn.parallel import DistributedDataParallel
  from torchtnt.utils.env import init_from_env
  from torchtnt.utils.prepare_module import _is_fsdp_module, DDPStrategy, FSDPStrategy, NOOPStrategy, prepare_ddp, prepare_fsdp, prepare_module, TorchCompileParams
  from torchtnt.utils.test_utils import spawn_multi_process
  from torchtnt.utils.version import is_torch_version_geq_1_13, is_torch_version_geq_2_0
label_desc: Use image node_id 21 for calling the PrepareModelTest obj's underlying member method code with example usage: obj.test_prepare_module_compile_module_state_dict() without return types