diff --git a/frontends/torch-frontend/torch-frontend/lib/Conversion/ConvertTorchToCustomCall.cpp b/frontends/torch-frontend/torch-frontend/lib/Conversion/ConvertTorchToCustomCall.cpp
index e84199048..46d7095a9 100644
--- a/frontends/torch-frontend/torch-frontend/lib/Conversion/ConvertTorchToCustomCall.cpp
+++ b/frontends/torch-frontend/torch-frontend/lib/Conversion/ConvertTorchToCustomCall.cpp
@@ -1051,6 +1051,14 @@ class ConvertGenericCustomOp : public OpConversionPattern<OperatorOp> {
           return rewriter.notifyMatchFailure(
               op, "only support constant float input");
         }
+      } else if (isa<Torch::StringType>(op.getOperand(i).getType())) {
+        std::string value;
+        if (matchPattern(op.getOperand(i), m_TorchConstantStr(value))) {
+          bufferAttrs.push_back(rewriter.getStringAttr(value));
+        } else {
+          return rewriter.notifyMatchFailure(op,
+                                             "only support constant str input");
+        }
       } else if (isa<Torch::ValueTensorType>(op.getOperand(i).getType())) {
         bufferArgs.push_back(adaptor.getOperands()[i]);
       } else {
@@ -1244,6 +1252,15 @@ class ConvertMathOp : public OpConversionPattern<AtenOpT> {
   matchAndRewrite(AtenOpT op, OpAdaptor adaptor,
                   ConversionPatternRewriter &rewriter) const override {
     Value input = adaptor.getSelf();
+
+    SmallVector<Value> bufferArgs;
+    if constexpr (std::is_same_v<AtenOpT, AtenCopysignTensorOp> ||
+                  std::is_same_v<AtenOpT, AtenLdexpTensorOp>) {
+      bufferArgs.push_back(adaptor.getSelf());
+      bufferArgs.push_back(adaptor.getOther());
+    } else {
+      bufferArgs.push_back(adaptor.getSelf());
+    }
     Type resultType =
         OpConversionPattern<AtenOpT>::getTypeConverter()->convertType(
             op.getResult().getType());
@@ -1259,7 +1276,7 @@ class ConvertMathOp : public OpConversionPattern<AtenOpT> {
                        rewriter.getDictionaryAttr(byteir_attrs));
 
     auto customCallOp = rewriter.create<stablehlo::CustomCallOp>(
-        op->getLoc(), TypeRange{resultType}, ValueRange{input},
+        op->getLoc(), TypeRange{resultType}, bufferArgs,
         ArrayRef<NamedAttribute>(attrs));
     rewriter.replaceOp(op, customCallOp->getResults());
     return success();
diff --git a/frontends/torch-frontend/torch-frontend/python/test/test_triton_custom_ops.py b/frontends/torch-frontend/torch-frontend/python/test/test_fximporter/test_custom_ops.py
similarity index 88%
rename from frontends/torch-frontend/torch-frontend/python/test/test_triton_custom_ops.py
rename to frontends/torch-frontend/torch-frontend/python/test/test_fximporter/test_custom_ops.py
index e8ed9b92b..739c5087d 100644
--- a/frontends/torch-frontend/torch-frontend/python/test/test_triton_custom_ops.py
+++ b/frontends/torch-frontend/torch-frontend/python/test/test_fximporter/test_custom_ops.py
@@ -27,16 +27,16 @@ def test_triton_custom_op():
 # ==============================================================================
 
 @torch.library.custom_op("custom::add", mutates_args=())
-def custom_add(a: torch.Tensor, c: int, b: torch.Tensor) -> torch.Tensor:
+def custom_add(a: torch.Tensor, c: int, d: str, b: torch.Tensor) -> torch.Tensor:
     return a + b + c
 
 @torch.library.register_fake("custom::add")
-def custom_add_fake_impl(a, c, b):
+def custom_add_fake_impl(a, c, d, b):
     return a + b
 
 class CustomAddMod(torch.nn.Module):
     def forward(self, x: torch.Tensor, y: torch.Tensor) -> torch.Tensor:
-        return custom_add(x, 2, y)
+        return custom_add(x, 2, "add", y)
 
 def test_custom_op():
     example_inputs = (torch.randn(10, 10), torch.randn(10, 10))
@@ -45,7 +45,7 @@ def test_custom_op():
     module = compile_dynamo_model(prog, "stablehlo", backend_legal_ops=GENERIC_CUSTOM_OPS+["custom.add"], verbose=True)
     print(module.operation.get_asm())
     assert "stablehlo.custom_call @custom.add" in module.operation.get_asm()
-    assert "byteir_attrs = {custom_attrs = [2]}" in module.operation.get_asm()
+    assert 'byteir_attrs = {custom_attrs = [2, "add"]}' in module.operation.get_asm()
 
 if __name__ == "__main__":
     test_custom_op()
diff --git a/frontends/torch-frontend/torch-frontend/python/test/test_math_custom_ops.py b/frontends/torch-frontend/torch-frontend/python/test/test_math_custom_ops.py
index 2c24c8af4..5810875a1 100644
--- a/frontends/torch-frontend/torch-frontend/python/test/test_math_custom_ops.py
+++ b/frontends/torch-frontend/torch-frontend/python/test/test_math_custom_ops.py
@@ -5,6 +5,7 @@
 def custom_test_helper(model, inputs, custom_op_name):
     mlir_module = compile(model, inputs, "stablehlo", backend_legal_ops=MATH_CUSTOM_OPS)
     mlir_str = mlir_module.operation.get_asm()
+    print(mlir_str)
     compare_str = "stablehlo.custom_call @{}".format(custom_op_name)
     assert compare_str in mlir_str
 
@@ -32,7 +33,7 @@ class CopysignModule(torch.nn.Module):
     def forward(self, x, y):
         return torch.copysign(x, y)
 
-def test_exp2():
+def test_copysign():
     custom_test_helper(CopysignModule(), [torch.rand(3, 4), torch.rand(3, 4)], "math.copysign")
 
 # ==============================================================================