diff --git a/onnxscript/function_libs/torch_lib/_flags.py b/onnxscript/function_libs/torch_lib/_flags.py
index 209b34fa4e..690246da1d 100644
--- a/onnxscript/function_libs/torch_lib/_flags.py
+++ b/onnxscript/function_libs/torch_lib/_flags.py
@@ -39,3 +39,7 @@ def _load_boolean_flag(
     "TORCHLIB_EXPERIMENTAL_INITIALIZERS_AS_INPUTS",
     this_will="make initializers as inputs to the model graph",
 )
+EXPERIMENTAL_PREFER_TRACING: bool = _load_boolean_flag(
+    "TORCHLIB_EXPERIMENTAL_PREFER_TRACING",
+    this_will="trace all traceable functions to fold if branches and collapse constant expressions",
+)
diff --git a/onnxscript/function_libs/torch_lib/registration.py b/onnxscript/function_libs/torch_lib/registration.py
index f9c9a9fc7a..05d8f62179 100644
--- a/onnxscript/function_libs/torch_lib/registration.py
+++ b/onnxscript/function_libs/torch_lib/registration.py
@@ -99,6 +99,7 @@ def torch_op(
     trace_only: bool = False,
     private: bool = False,
     complex: bool = False,
+    traceable: bool = False,
 ) -> Callable[[FunctionType], onnxscript.OnnxFunction | onnxscript.values.TracedOnnxFunction]:
     """Register a torch op.
 
@@ -112,6 +113,18 @@ def torch_op(
         private: Whether the function is private (not directly exposed). It should
             be true for all functions with names starting with "_".
         complex: Whether the function expects complex-valued inputs.
+        traceable: Whether the function can also be traced. This is an **experimental** flag.
+            A function is traceable if it can both be scripted and traced to produce
+            the same result for a given input. Specifically:
+
+            - A function _can_ be tagged with traceable if its if branches (if any)
+                can be statically evaluated.
+            - A function _should_ be tagged with traceable if it contains if branches
+                and/or CastLike nodes so that they can be evaluated away with the
+                EXPERIMENTAL_PREFER_TRACING on.
+            - A function without if branches or CastLike nodes _should not_ be tagged
+                with traceable because inlining will do the same thing.
+            - A function with `@graph` defined for a `Scan` op is not traceable yet.
     """
     if registry is None:
         registry = default_registry
@@ -128,6 +141,7 @@ def wrapper(
         else:
             assert isinstance(func, FunctionType)
             processed_func = onnxscript.script(opset=custom_opset)(func)
+            processed_func.experimental_traceable = traceable
 
         assert registry is not None
         for name_ in _check_and_normalize_names(name):
diff --git a/onnxscript/values.py b/onnxscript/values.py
index db52e9dc1b..23f1a48d75 100644
--- a/onnxscript/values.py
+++ b/onnxscript/values.py
@@ -479,6 +479,9 @@ def __init__(
         self._param_schemas: Optional[tuple[ParamSchema, ...]] = None
         self._op_schema: Optional[onnx.defs.OpSchema] = None
 
+        # Experimental fields
+        self.experimental_traceable = False
+
     @property
     @deprecation.deprecated(
         since="0.1",