diff --git a/test/inductor/test_cpu_repro.py b/test/inductor/test_cpu_repro.py
index 3b1ff31c80178..0bff745ca823c 100644
--- a/test/inductor/test_cpu_repro.py
+++ b/test/inductor/test_cpu_repro.py
@@ -2534,6 +2534,36 @@ def forward(self, x):
             )
             assert metrics.generated_kernel_count == 0
 
+    def test_group_norm_vec(self):
+        class M(torch.nn.Module):
+            def __init__(self):
+                super().__init__()
+                self.group_norm = torch.nn.GroupNorm(32, 32)
+
+            def forward(self, x):
+                return self.group_norm(x)
+
+        metrics.reset()
+        mod = M().eval()
+        x = torch.randn(2, 32, 32, 32)
+        with torch.no_grad():
+            self.common(mod, (x,))
+            # 2 generated kernels (one for var_mean, the other for result)
+            assert metrics.generated_cpp_vec_kernel_count == 2
+
+    def test_int_div_vec(self):
+        def fn(x, y, mode):
+            return torch.div(x, y, rounding_mode=mode)
+
+        x = torch.randint(1, 100, (32, 32))
+        y = torch.randint(1, 100, (32, 32))
+        for mode in [None, "trunc", "floor"]:
+            with torch.no_grad():
+                metrics.reset()
+                self.common(fn, (x, y, mode))
+                # TODO: support vectorization for int div
+                assert metrics.generated_cpp_vec_kernel_count == 0
+
 
 if __name__ == "__main__":
     from torch._dynamo.test_case import run_tests
diff --git a/torch/_inductor/codegen/cpp.py b/torch/_inductor/codegen/cpp.py
index 31e7ee396851a..f8d9cdf568eeb 100644
--- a/torch/_inductor/codegen/cpp.py
+++ b/torch/_inductor/codegen/cpp.py
@@ -455,6 +455,10 @@ def mul(a, b):
     def div(a, b):
         return f"{a} / {b}"
 
+    @staticmethod
+    def truediv(a, b):
+        return f"{a} / {b}"
+
     @staticmethod
     def abs(x):
         return f"{x}.abs()"