diff --git a/test/tensor/test_funcs.py b/test/tensor/test_funcs.py
index c825eba6c42c9e4188bca26f20305f69db94de09..53be6d5726570f760db6e169b8b5956ce3dcfed4 100644
--- a/test/tensor/test_funcs.py
+++ b/test/tensor/test_funcs.py
@@ -240,6 +240,40 @@ class TestTensorFuncs:
             }
         })
 
+    def test_empty(self):
+        _target = ttorch.empty(TreeValue({
+            'a': (2, 3),
+            'b': (5, 6),
+            'x': {
+                'c': (2, 3, 4),
+            }
+        }))
+        assert _target.shape == ttorch.TreeSize({
+            'a': torch.Size([2, 3]),
+            'b': torch.Size([5, 6]),
+            'x': {
+                'c': torch.Size([2, 3, 4]),
+            }
+        })
+
+    def test_empty_like(self):
+        _target = ttorch.empty_like(ttorch.TreeTensor({
+            'a': torch.tensor([[1, 2, 3], [4, 5, 6]]),
+            'b': torch.tensor([1, 2, 3, 4]),
+            'x': {
+                'c': torch.tensor([5, 6, 7]),
+                'd': torch.tensor([[[8, 9]]]),
+            }
+        }))
+        assert _target.shape == ttorch.TreeSize({
+            'a': torch.Size([2, 3]),
+            'b': torch.Size([4]),
+            'x': {
+                'c': torch.Size([3]),
+                'd': torch.Size([1, 1, 2]),
+            }
+        })
+
     def test_all(self):
         r1 = ttorch.all(torch.tensor([True, True, True]))
         assert torch.is_tensor(r1)
@@ -340,3 +374,32 @@ class TestTensorFuncs:
             'a': torch.tensor([1, 2, 3]),
             'b': torch.tensor([4, 5, 5]),
         })).all()
+
+    def test_equal(self):
+        p1 = ttorch.equal(torch.tensor([1, 2, 3]), torch.tensor([1, 2, 3]))
+        assert isinstance(p1, bool)
+        assert p1
+
+        p2 = ttorch.equal(torch.tensor([1, 2, 3]), torch.tensor([1, 2, 4]))
+        assert isinstance(p2, bool)
+        assert not p2
+
+        p3 = ttorch.equal(ttorch.TreeTensor({
+            'a': torch.tensor([1, 2, 3]),
+            'b': torch.tensor([4, 5, 6]),
+        }), ttorch.TreeTensor({
+            'a': torch.tensor([1, 2, 3]),
+            'b': torch.tensor([4, 5, 6]),
+        }))
+        assert isinstance(p3, bool)
+        assert p3
+
+        p4 = ttorch.equal(ttorch.TreeTensor({
+            'a': torch.tensor([1, 2, 3]),
+            'b': torch.tensor([4, 5, 6]),
+        }), ttorch.TreeTensor({
+            'a': torch.tensor([1, 2, 3]),
+            'b': torch.tensor([4, 5, 5]),
+        }))
+        assert isinstance(p4, bool)
+        assert not p4
diff --git a/treetensor/numpy/funcs.py b/treetensor/numpy/funcs.py
index 6322783f227fcc580f3a741537f8882e0f2e3ed9..149825c0b47492016aa1f3b234b0bddd0f7c1c60 100644
--- a/treetensor/numpy/funcs.py
+++ b/treetensor/numpy/funcs.py
@@ -1,3 +1,5 @@
+import builtins
+
 import numpy as np
 from treevalue import func_treelize as original_func_treelize
 
@@ -13,13 +15,13 @@ __all__ = [
 func_treelize = replaceable_partial(original_func_treelize, return_type=TreeNumpy)
 
 
-@ireduce(all)
+@ireduce(builtins.all)
 @func_treelize(return_type=TreeObject)
 def all(a, *args, **kwargs):
     return np.all(a, *args, **kwargs)
 
 
-@ireduce(any)
+@ireduce(builtins.any)
 @func_treelize()
 def any(a, *args, **kwargs):
     return np.any(a, *args, **kwargs)
diff --git a/treetensor/tensor/funcs.py b/treetensor/tensor/funcs.py
index d9ab078a60cfcfd6ee14e0c934a8163ade780640..71e46c5bff3a203ffc8ca5f90739621a21159835 100644
--- a/treetensor/tensor/funcs.py
+++ b/treetensor/tensor/funcs.py
@@ -1,8 +1,10 @@
+import builtins
+
 import torch
 from treevalue import func_treelize as original_func_treelize
 
 from .tensor import TreeTensor, tireduce
-from ..common import TreeObject
+from ..common import TreeObject, ireduce
 from ..utils import replaceable_partial
 
 func_treelize = replaceable_partial(original_func_treelize, return_type=TreeTensor)
@@ -96,6 +98,7 @@ def eq(input_, other, *args, **kwargs):
     return torch.eq(input_, other, *args, **kwargs)
 
 
+@ireduce(builtins.all)
 @func_treelize()
 def equal(input_, other, *args, **kwargs):
     return torch.equal(input_, other, *args, **kwargs)