diff --git a/test/dynamo/test_misc.py b/test/dynamo/test_misc.py
index 446cfa9fa8daf..2f7feb0752cc2 100644
--- a/test/dynamo/test_misc.py
+++ b/test/dynamo/test_misc.py
@@ -26,9 +26,9 @@
 
 import numpy as np
 import torch
-
-import torch._dynamo.test_case
 import torch._dynamo.testing
+
+import torch._inductor.test_case
 import torch.onnx.operators
 
 import torch.utils._pytree as pytree
@@ -151,7 +151,7 @@ def __getattr__(self, key):
         return self.__dict__[f"pfx_{key}"]
 
 
-class MiscTests(torch._dynamo.test_case.TestCase):
+class MiscTests(torch._inductor.test_case.TestCase):
     def test_get_cache_entry(self):
         def f(x):
             return x + 1
diff --git a/test/dynamo/test_structured_trace.py b/test/dynamo/test_structured_trace.py
index deb2a2d548fe5..07f541edbe236 100644
--- a/test/dynamo/test_structured_trace.py
+++ b/test/dynamo/test_structured_trace.py
@@ -16,10 +16,11 @@
 import torch._logging.structured
 import torch.distributed as dist
 
+from torch._inductor.test_case import TestCase
+
 from torch._logging._internal import TorchLogsFormatter
 from torch.nn.parallel import DistributedDataParallel as DDP
-
-from torch.testing._internal.common_utils import find_free_port, TestCase
+from torch.testing._internal.common_utils import find_free_port
 from torch.testing._internal.inductor_utils import HAS_CUDA
 
 requires_cuda = unittest.skipUnless(HAS_CUDA, "requires cuda")
diff --git a/torch/_inductor/codecache.py b/torch/_inductor/codecache.py
index 31d83b3172ec6..7578dff26438e 100644
--- a/torch/_inductor/codecache.py
+++ b/torch/_inductor/codecache.py
@@ -482,6 +482,14 @@ def _reduce_symint(s):
     return (_ident, (str(s),))
 
 
+def _reduce_unsupported(s):
+    """
+    See FxGraphCachePickler. Custom reducer to handle any objects that we don't
+    support and therefore raise to bypass caching.
+    """
+    raise BypassFxGraphCache
+
+
 class FxGraphCachePickler(pickle.Pickler):
     """
     Custom pickler to customize the pickling of some objects (Tensors), only for the
@@ -494,6 +502,9 @@ class FxGraphCachePickler(pickle.Pickler):
     dispatch_table[FakeTensor] = _reduce_fake_tensor
     dispatch_table[torch.Tensor] = _reduce_tensor
     dispatch_table[torch.SymInt] = _reduce_symint
+    dispatch_table[
+        torch.fx.experimental._backward_state.BackwardState
+    ] = _reduce_unsupported
 
     @classmethod
     def dumps(cls, obj) -> bytes:
@@ -893,7 +904,6 @@ def load(
         Load a compiled graph from the cache. If a cached entry does not exist,
         compile the graph and save it to the cache.
         """
-
         compiled_graph = None
         try:
             FxGraphCache._check_can_cache(gm)
diff --git a/torch/fx/experimental/symbolic_shapes.py b/torch/fx/experimental/symbolic_shapes.py
index 0630614fb3247..748737a9e1f94 100644
--- a/torch/fx/experimental/symbolic_shapes.py
+++ b/torch/fx/experimental/symbolic_shapes.py
@@ -2385,6 +2385,7 @@ def check_equal(self, other: "ShapeEnv") -> None:
             "source_name_to_debug_name",
             "_prev_cache_key",
             "_version_counter",
+            "dim_constraints",
         )
 
         # Mapping of the value of each to-be-compared field into the values that
diff --git a/torch/testing/_internal/logging_utils.py b/torch/testing/_internal/logging_utils.py
index 8bf762a6577e8..f97d0281b139b 100644
--- a/torch/testing/_internal/logging_utils.py
+++ b/torch/testing/_internal/logging_utils.py
@@ -7,6 +7,7 @@
 import torch._logging
 import torch._logging._internal
 from torch._dynamo.utils import LazyString
+from torch._inductor import config as inductor_config
 import logging
 import io
 
@@ -74,6 +75,7 @@ def append_setting(name, level):
 # that the logs are setup correctly and capturing the correct records.
 def make_logging_test(**kwargs):
     def wrapper(fn):
+        @inductor_config.patch({"fx_graph_cache": False})
         def test_fn(self):
 
             torch._dynamo.reset()