Rewrite concatenate([x, x]) as repeat(x, 2)

pytensor/tensor/rewriting/basic.py

@@ -77,6 +77,7 @@
     register_infer_shape,
     switch,
     tensor_copy,
+    tile,
     zeros,
     zeros_like,
 )
@@ -910,6 +911,53 @@ def local_join_make_vector(fgraph, node):
         return [ret]
 
 
+@register_canonicalize
+@node_rewriter([Join])
+def local_join_to_repeat(fgraph, node):
+    """Join(axis, x, x, x, ...) -> tile(x, reps)
+
+    When the same tensor is concatenated multiple times along an axis,
+    replace with a single tile operation which is more efficient.
+
+    Examples
+    --------
+    join(0, x, x, x) -> tile(x, (3, 1, 1, ...))
+    join(1, x, x) -> tile(x, (1, 2, 1, ...))
+    """
+    # Extract axis and the tensors being joined
+    axis, *tensors = node.inputs
+
+    # Optimization only applies when axis is constant
+    if not isinstance(axis, Constant):
+        return None
+
+    # Extract the Python integer from the constant
+    axis_val = axis.data
+
+    # Need at least 2 tensors to consider optimization
+    if len(tensors) <= 1:
+        return
+
+    # Check if all tensors are identical
+    if not all(t == tensors[0] for t in tensors[1:]):
+        return
+
+    n_reps = len(tensors)
+    first_tensor = tensors[0]
+    ndim = first_tensor.ndim
+
+    # Build reps tuple to repeat only along the join axis
+    # For shape (a, b, c) joining at axis 1: reps = (1, n_reps, 1)
+    # This directly concatenates n_reps copies along axis_val
+    reps = tuple(n_reps if i == axis_val else 1 for i in range(ndim))
+
+    result = tile(first_tensor, reps)
+
+    # Preserve debugging information
+    copy_stack_trace(node.outputs[0], result)
+    return [result]
+
+
 @register_specialize
 @register_canonicalize
 @register_useless

tests/tensor/rewriting/test_basic.py

@@ -1237,33 +1237,98 @@ def test_local_join_1():
     assert len([n for n in e if isinstance(n.op, Join)]) == 0
     assert f.maker.fgraph.outputs[0].dtype == config.floatX
 
-    # test we don't apply when their is 2 inputs
+    # test that join with 2 identical inputs now gets optimized to tile
     s = join(1, a, a)
     f = function([a], s, mode=rewrite_mode)
     val = f([[1]])
-    assert np.all(val == [[1]])
+    assert np.all(val == [[1, 1]])  # joined along axis 1
     e = f.maker.fgraph.toposort()
-    assert len([n for n in e if isinstance(n.op, Join)]) == 1
+    assert len([n for n in e if isinstance(n.op, Join)]) == 0  # optimized away
     assert f.maker.fgraph.outputs[0].dtype == config.floatX
 
 
+def test_local_join_to_tile():
+    """Join(axis, x, x, ...) is rewritten to tile(x, reps) with reps[axis] = k.
+
+    This optimization applies whenever we concatenate the *same* tensor multiple
+    times along a given axis. It replaces the Join/concatenate with a Tile op.
+    """
+
+    # ---- Case 1: joining same vector along axis 0 ----
+    x = vector("x")
+    s = join(0, x, x, x)  # (3n,)
+    f = function([x], s, mode=rewrite_mode)
+
+    test_val = np.array([1.0, 2.0], dtype=config.floatX)
+    result = f(test_val)
+    expected = np.array([1.0, 2.0, 1.0, 2.0, 1.0, 2.0], dtype=config.floatX)
+    assert np.allclose(result, expected)
+
+    # Join should be optimized away
+    ops = f.maker.fgraph.toposort()
+    assert not any(isinstance(n.op, Join) for n in ops)
+
+    # ---- Case 2: joining same matrix along axis 0 ----
+    a = matrix("a")
+    s = join(0, a, a)  # (2m, n)
+    f = function([a], s, mode=rewrite_mode)
+
+    test_mat = np.array([[1.0, 2.0], [3.0, 4.0]], dtype=config.floatX)
+    result = f(test_mat)
+    expected = np.vstack([test_mat, test_mat])
+    assert np.allclose(result, expected)
+
+    ops = f.maker.fgraph.toposort()
+    assert not any(isinstance(n.op, Join) for n in ops)
+
+    # ---- Case 3: joining same matrix along axis 1 ----
+    s = join(1, a, a, a)  # (m, 3n)
+    f = function([a], s, mode=rewrite_mode)
+
+    result = f(test_mat)
+    expected = np.hstack([test_mat, test_mat, test_mat])
+    assert np.allclose(result, expected)
+
+    ops = f.maker.fgraph.toposort()
+    assert not any(isinstance(n.op, Join) for n in ops)
+
+    # ---- Case 4: different tensors -> should NOT optimize ----
+    y = vector("y")
+    s = join(0, x, y)  # inputs differ
+    f = function([x, y], s, mode=rewrite_mode)
+
+    test_vec1 = np.array([1.0, 2.0], dtype=config.floatX)
+    test_vec2 = np.array([3.0, 4.0], dtype=config.floatX)
+    result = f(test_vec1, test_vec2)
+    expected = np.array([1.0, 2.0, 3.0, 4.0], dtype=config.floatX)
+    assert np.allclose(result, expected)
+
+    # Join should still be present since inputs aren't identical
+    ops = f.maker.fgraph.toposort()
+    assert any(isinstance(n.op, Join) for n in ops)
+
+
 def test_local_join_empty():
-    # Vector case
+    # Vector case - empty tensors should be removed
     empty_vec = np.asarray([], dtype=config.floatX)
     vec = vector("vec")
-    s = pt.join(0, vec, vec, empty_vec)
+    s = pt.join(0, vec, vec[::-1], empty_vec)
     new_s = rewrite_graph(s)
-    assert equal_computations([new_s], [join(0, vec, vec)])
     assert new_s.dtype == s.dtype
+    # Compare to the expected form (without rewriting expected)
+    expected = pt.join(0, vec, vec[::-1])
+    assert equal_computations([new_s], [expected])
 
-    # Matrix case
+    # Matrix case - empty tensors should be removed
     empty_mat = np.zeros((2, 0), dtype=config.floatX)
     empty_sym_mat = matrix("m", shape=(2, 0))
     mat = matrix("mat", shape=(2, 10))
-    s = join(1, empty_mat, mat, empty_sym_mat, mat, mat)
+    s = join(1, empty_mat, mat, empty_sym_mat, mat[:, ::-1])
     new_s = rewrite_graph(s)
-    assert equal_computations([new_s], [join(1, mat, mat, mat)])
     assert new_s.dtype == s.dtype
+    # Compare to the expected form (without rewriting expected)
+    expected = join(1, mat, mat[:, ::-1])
+    assert equal_computations([new_s], [expected])
 
     # Join can be completely removed, but casting and specify_shape are propagated
     int_mat = matrix("int_mat", dtype=int)