diff --git a/onnxscript/function_libs/torch_lib/ops/core.py b/onnxscript/function_libs/torch_lib/ops/core.py
index e088b887f..2ec3b8f20 100644
--- a/onnxscript/function_libs/torch_lib/ops/core.py
+++ b/onnxscript/function_libs/torch_lib/ops/core.py
@@ -148,6 +148,11 @@ def aten_add(self: TTensor, other: TTensor, alpha: float = 1.0) -> TTensor:
     return op.Add(self, other)
 
 
+@torch_op(("_operator::add"), trace_only=True)
+def operator_add(self: TTensor, other: TTensor) -> TTensor:
+    return op.Add(self, other)
+
+
 @torch_op(("aten::add.Tensor", "aten::add.Scalar"), trace_only=True, complex=True)
 def aten_add_complex(self: TReal, other: TReal, alpha: float = 1.0) -> TReal:
     """add.Tensor(Tensor self, Tensor other, *, Scalar alpha=1) -> Tensor"""
@@ -5567,7 +5572,7 @@ def aten_msort(self: TensorType) -> TensorType:
 
 
 @torch_op(
-    ("aten::mul", "aten::mul.Tensor", "_operator::mul", "aten::multiply.Tensor"),
+    ("aten::mul", "aten::mul.Tensor", "aten::multiply.Tensor"),
     trace_only=True,
 )
 def aten_mul(self: TTensor, other: TTensor) -> TTensor:
@@ -5579,6 +5584,11 @@ def aten_mul(self: TTensor, other: TTensor) -> TTensor:
     return op.Mul(self, other)
 
 
+@torch_op("_operator::mul", trace_only=True)
+def operator_mul(self: TTensor, other: TTensor) -> TTensor:
+    return op.Mul(self, other)
+
+
 @torch_op(
     ("aten::mul", "aten::mul.Tensor", "aten::multiply.Tensor"),
     trace_only=True,