diff --git a/test/functorch/test_aotdispatch.py b/test/functorch/test_aotdispatch.py
index e25c97cdf1e6e..a323e79ed33f4 100644
--- a/test/functorch/test_aotdispatch.py
+++ b/test/functorch/test_aotdispatch.py
@@ -1156,7 +1156,6 @@ def assert_compiler(gm: torch.fx.GraphModule, _):
     xfail('segment_reduce', 'offsets'),  # aten.segment_reduce.default - couldn't find symbolic meta functio...
     xfail('sgn', ''),  # Cannot call sizes() on tensor with symbolic sizes/strides
     xfail('sort', ''),  # Cannot call sizes() on tensor with symbolic sizes/strides
-    xfail('special.entr', ''),  # aten.special_entr.default - couldn't find symbolic meta function/decomposition
     xfail('special.erfcx', ''),  # aten.special_erfcx.default - couldn't find symbolic meta function/decompos...
     xfail('special.i1', ''),  # aten.i0.default - couldn't find symbolic meta function/decomposition
     xfail('special.log_ndtr', ''),  # aten.special_log_ndtr.default - couldn't find symbolic meta function/de...
diff --git a/test/test_ops.py b/test/test_ops.py
index 78e72ebafce75..4ecbc59f5d74b 100644
--- a/test/test_ops.py
+++ b/test/test_ops.py
@@ -1594,6 +1594,7 @@ class TestRefsOpsInfo(TestCase):
         '_refs.to',
         '_refs.ones',
         '_refs.ones_like',
+        '_refs.special.expit',
         '_refs.std_var',
         '_refs.swap_axes',
         '_refs.uniform',
@@ -1653,6 +1654,7 @@ class TestRefsOpsInfo(TestCase):
         '_refs.positive',
         '_refs.ravel',
         '_refs.reshape',
+        '_refs.special.expit',
         '_refs.square',
         '_refs.tensor_split',
         '_refs.to',
diff --git a/test/test_proxy_tensor.py b/test/test_proxy_tensor.py
index b51f3642414f1..2b31e185199c8 100644
--- a/test/test_proxy_tensor.py
+++ b/test/test_proxy_tensor.py
@@ -1260,7 +1260,6 @@ def f(a, b, c, d, e):
     xfail('special.bessel_y1', ''),  # aten.special_bessel_y1.default - couldn't find symbolic meta function/decomposition
     xfail('special.chebyshev_polynomial_t', ''),  # aten.special_chebyshev_polynomial_t.default - couldn't find symbolic me...
     xfail('special.chebyshev_polynomial_u', ''),  # aten.special_chebyshev_polynomial_u.default - couldn't find symbolic me...
-    xfail('special.entr', ''),  # aten.special_entr.default - couldn't find symbolic meta function/decomposition
     xfail('special.erfcx', ''),  # aten.special_erfcx.default - couldn't find symbolic meta function/decomposition
     xfail('special.hermite_polynomial_h', ''),  # aten.special_hermite_polynomial_h.default - couldn't find symbolic meta f...
     xfail('special.hermite_polynomial_he', ''),  # aten.special_hermite_polynomial_he.default - couldn't find symbolic meta...
diff --git a/torch/_refs/special/__init__.py b/torch/_refs/special/__init__.py
index 70c57e32c0e28..a9b2234a36791 100644
--- a/torch/_refs/special/__init__.py
+++ b/torch/_refs/special/__init__.py
@@ -19,6 +19,8 @@
 __all__ = [
     "bessel_j0",
     "bessel_j1",
+    "entr",
+    "expit",
     "i0e",
     "i1",
     "i1e",
@@ -45,6 +47,24 @@ def bessel_j1(a: TensorLikeType) -> TensorLikeType:
     return prims.bessel_j1(a)
 
 
+@register_decomposition(torch.ops.aten.special_entr)
+@out_wrapper()
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=utils.ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT,
+)
+def entr(a: TensorLikeType) -> TensorLikeType:
+    return torch.where(
+        torch.isnan(a),
+        a,
+        torch.where(a > 0, -a * torch.log(a), torch.where(a == 0, 0, -torch.inf)),
+    )
+
+
+# alias for sigmoid
+expit = torch.sigmoid
+
+
 @_make_elementwise_unary_reference(
     ELEMENTWISE_TYPE_PROMOTION_KIND.INT_TO_FLOAT, aten_op=torch.ops.aten.special_i0e
 )
diff --git a/torch/testing/_internal/common_methods_invocations.py b/torch/testing/_internal/common_methods_invocations.py
index 91cc2e371ca33..aa82678d0a7a4 100644
--- a/torch/testing/_internal/common_methods_invocations.py
+++ b/torch/testing/_internal/common_methods_invocations.py
@@ -16946,6 +16946,7 @@ def reference_flatten(input, start_dim=0, end_dim=-1):
     ElementwiseUnaryPythonRefInfo(
         "_refs.sigmoid",
         torch_opinfo_name="sigmoid",
+        aliases=('_refs.special.expit',),
         # Reference: https://github.com/pytorch/pytorch/issues/56012
         handles_complex_extremal_values=False,
         handles_large_floats=False,
diff --git a/torch/testing/_internal/opinfo/definitions/special.py b/torch/testing/_internal/opinfo/definitions/special.py
index b7fe80f064deb..3f6ddff3a7830 100644
--- a/torch/testing/_internal/opinfo/definitions/special.py
+++ b/torch/testing/_internal/opinfo/definitions/special.py
@@ -657,6 +657,12 @@ def sample_inputs_entr(op_info, device, dtype, requires_grad, **kwargs):
         supports_nvfuser=False,
         op_db=op_db,
     ),
+    ElementwiseUnaryPythonRefInfo(
+        "_refs.special.entr",
+        torch_opinfo_name="special.entr",
+        supports_nvfuser=False,
+        op_db=op_db,
+    ),
     ElementwiseUnaryPythonRefInfo(
         "_refs.special.i0e",
         torch_opinfo_name="special.i0e",