diff --git a/onnxscript/function_libs/torch_lib/ops/core.py b/onnxscript/function_libs/torch_lib/ops/core.py
index 1b2ee6bea..cf2fae3db 100644
--- a/onnxscript/function_libs/torch_lib/ops/core.py
+++ b/onnxscript/function_libs/torch_lib/ops/core.py
@@ -2048,13 +2048,12 @@ def aten_convolution_overrideable(
 @torch_op("aten::copy")
 def aten_copy(
     self: TTensor,
-    src: TTensor,
+    src: TTensor2,
     non_blocking: bool = False,  # pylint: disable=unused-argument
 ) -> TTensor:
     """copy(Tensor self, Tensor src, bool non_blocking=False) -> Tensor"""
 
-    self = op.Identity(src)
-    return self
+    return op.CastLike(src, self)
 
 
 @torch_op("aten::_to_copy", trace_only=True)
@@ -4059,12 +4058,9 @@ def aten_index_put_bool(
         # change array([F,F,T,F,F]) to array([2])
         index = op.ArgMax(index_int)  # assume index only have 1 True
         # change array([2]) to array([2,2,2,2,2])
-        self_dim_1 = op.Gather(op.Shape(self), 1)
-        index_dim_0 = op.Gather(op.Shape(index), 0)
-        neg_1 = op.Constant(value_ints=[-1])
-        shape = op.Concat(
-            op.Reshape(self_dim_1, neg_1), op.Reshape(index_dim_0, neg_1), axis=0
-        )
+        self_dim_1 = op.Shape(self, start=1, end=2)
+        index_dim_0 = op.Shape(index, start=0, end=1)
+        shape = op.Concat(self_dim_1, index_dim_0, axis=0)
         new_ind = op.Expand(index, shape)
         new_ind_t = op.Transpose(new_ind)
 
@@ -7513,7 +7509,7 @@ def _center_window_around_zeros_if_needed(
     window: TFloatOrBFloat16, n_fft: int
 ) -> TFloatOrBFloat16:
     # first dimension
-    n_win = op.Gather(op.Shape(window), 0)
+    n_win = op.Shape(window, start=0, end=1)
     # Center window around zeros if needed (required by ONNX's STFT)
     if n_win < n_fft:
         left = (n_fft - n_win) / 2