BUG: Tests fail: ValueError: The tag 'local_0_dot_x' is already present in the database

Describe the issue:

============================================================================================================ ERRORS ============================================================================================================
_____________________________________________________________________________________ ERROR collecting pytensor/misc/elemwise_time_test.py _____________________________________________________________________________________
/usr/local/lib/python3.9/importlib/__init__.py:127: in import_module
    return _bootstrap._gcd_import(name[level:], package, level)
<frozen importlib._bootstrap>:1030: in _gcd_import
    ???
<frozen importlib._bootstrap>:1007: in _find_and_load
    ???
<frozen importlib._bootstrap>:972: in _find_and_load_unlocked
    ???
<frozen importlib._bootstrap>:228: in _call_with_frames_removed
    ???
<frozen importlib._bootstrap>:1030: in _gcd_import
    ???
<frozen importlib._bootstrap>:1007: in _find_and_load
    ???
<frozen importlib._bootstrap>:972: in _find_and_load_unlocked
    ???
<frozen importlib._bootstrap>:228: in _call_with_frames_removed
    ???
<frozen importlib._bootstrap>:1030: in _gcd_import
    ???
<frozen importlib._bootstrap>:1007: in _find_and_load
    ???
<frozen importlib._bootstrap>:986: in _find_and_load_unlocked
    ???
<frozen importlib._bootstrap>:680: in _load_unlocked
    ???
<frozen importlib._bootstrap_external>:850: in exec_module
    ???
<frozen importlib._bootstrap>:228: in _call_with_frames_removed
    ???
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:2674: in <module>
    local_one_plus_erf = PatternNodeRewriter(
pytensor/graph/rewriting/basic.py:1570: in __init__
    from pytensor.graph.rewriting.unify import convert_strs_to_vars
pytensor/graph/rewriting/unify.py:19: in <module>
    from etuples import apply, etuple, etuplize
/usr/local/lib/python3.9/site-packages/etuples/__init__.py:2: in <module>
    from .core import etuple
/usr/local/lib/python3.9/site-packages/etuples/core.py:343: in <module>
    def etuple(*args, **kwargs):
/usr/local/lib/python3.9/site-packages/multipledispatch/core.py:68: in _
    dispatcher.add(types, func, on_ambiguity=on_ambiguity)
/usr/local/lib/python3.9/site-packages/multipledispatch/dispatcher.py:133: in add
    raise TypeError("Tried to dispatch on non-type: %s\n"
E   TypeError: Tried to dispatch on non-type: [<class 'object'>]
E   In signature: <[<class 'object'>]>
E   In function: etuple
__________________________________________________________________________________________ ERROR collecting tests/test_breakpoint.py ___________________________________________________________________________________________
tests/test_breakpoint.py:3: in <module>
    from pytensor.breakpoint import PdbBreakpoint
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
____________________________________________________________________________________________ ERROR collecting tests/test_config.py _____________________________________________________________________________________________
tests/test_config.py:8: in <module>
    from pytensor import configdefaults, configparser
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
___________________________________________________________________________________________ ERROR collecting tests/test_gradient.py ____________________________________________________________________________________________
tests/test_gradient.py:6: in <module>
    import pytensor
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
____________________________________________________________________________________________ ERROR collecting tests/test_ifelse.py _____________________________________________________________________________________________
tests/test_ifelse.py:7: in <module>
    import pytensor
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
___________________________________________________________________________________________ ERROR collecting tests/test_printing.py ____________________________________________________________________________________________
tests/test_printing.py:11: in <module>
    import pytensor
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
___________________________________________________________________________________________ ERROR collecting tests/test_raise_op.py ____________________________________________________________________________________________
tests/test_raise_op.py:5: in <module>
    import pytensor
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
______________________________________________________________________________________________ ERROR collecting tests/test_rop.py ______________________________________________________________________________________________
tests/test_rop.py:18: in <module>
    import pytensor
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
____________________________________________________________________________________________ ERROR collecting tests/test_updates.py ____________________________________________________________________________________________
tests/test_updates.py:3: in <module>
    import pytensor
pytensor/__init__.py:119: in <module>
    from pytensor import scalar, tensor
pytensor/tensor/__init__.py:112: in <module>
    import pytensor.tensor.rewriting
pytensor/tensor/rewriting/__init__.py:11: in <module>
    import pytensor.tensor.rewriting.math
pytensor/tensor/rewriting/math.py:161: in <module>
    def local_0_dot_x(fgraph, node):
pytensor/tensor/rewriting/basic.py:166: in register_stabilize
    compile.optdb["stabilize"].register(
pytensor/graph/rewriting/db.py:339: in register
    super().register(name, rewriter, *tags, **kwargs)
pytensor/graph/rewriting/db.py:71: in register
    raise ValueError(f"The tag '{name}' is already present in the database.")
E   ValueError: The tag 'local_0_dot_x' is already present in the database.
======================================================================================================= warnings summary =======================================================================================================
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
../../../../../local/lib/python3.9/site-packages/multipledispatch/core.py:79
  /usr/local/lib/python3.9/site-packages/multipledispatch/core.py:79: DeprecationWarning: inspect.getargspec() is deprecated since Python 3.0, use inspect.signature() or inspect.getfullargspec()
    spec = inspect.getargspec(func)

-- Docs: https://docs.pytest.org/en/stable/how-to/capture-warnings.html
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Interrupted: 9 errors during collection !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
================================================================================================ 8 warnings, 9 errors in 10.00s ================================================================================================

Reproducable code example:

pytest .

Error message:

See above.

PyTensor version information:

2.12.3

Context for the issue:

Python-3.9
FreeBSD 13.2

Start with pytensor/tensor/rewriting/math.py at the local_0_dot_x definition and trace registration into pytensor/graph/rewriting/db.py. Reproduce the import-collection failures shown in pytensor/misc/elemwise_time_test.py and the listed tests, then identify why the tag is registered twice. Done means the affected tests collect and run without the duplicate-tag ValueError.