[compiled autograd] compile fwd in inference mode

[xmfan]

Stack from ghstack (oldest at bottom):

• -> [compiled autograd] compile fwd in inference mode #125201

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❌ 1 New Failure, 5 Unrelated Failures

As of commit 21968be with merge base 5585138 ():

NEW FAILURE - The following job has failed:

• Lint / lintrunner-noclang / linux-job (gh)
  >>> Lint for torch/_functorch/aot_autograd.py:

FLAKY - The following jobs failed but were likely due to flakiness present on trunk:

• inductor / rocm6.0-py3.8-inductor / test (inductor, 1, 1, linux.rocm.gpu.2) (gh)
  test/distributed/test_c10d_functional_native.py::TestWithNCCL::test_unwaited
• pull / linux-focal-py3.11-clang10 / test (default, 1, 3, linux.2xlarge) (gh)
  test_cpp_extensions_open_device_registration.py::TestCppExtensionOpenRgistration::test_open_device_registration
• pull / linux-focal-py3.12-clang10 / test (default, 1, 3, linux.2xlarge) (gh)
  test_cpp_extensions_open_device_registration.py::TestCppExtensionOpenRgistration::test_open_device_registration
• pull / linux-focal-py3.8-clang10 / test (default, 1, 3, linux.2xlarge) (gh)
  test_cpp_extensions_open_device_registration.py::TestCppExtensionOpenRgistration::test_open_device_registration

BROKEN TRUNK - The following job failed but were present on the merge base:

👉 Rebase onto the `viable/strict` branch to avoid these failures

• inductor / linux-jammy-cpu-py3.8-gcc11-inductor / test (cpu_inductor_torchbench, 1, 2, linux.12xlarge) (gh)
  detectron2_maskrcnn_r_50_fpn

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