code: def test_deterministic_arithmetic_names():
      df = pd.DataFrame({"x": [1, 2, 3, 4], "y": [5, 6, 7, 8]})
      a = dd.from_pandas(df, npartitions=2)
  
      assert sorted((a.x + a.y**2).dask) == sorted(
          (a.x + a.y**2).dask
      )
      assert sorted((a.x + a.y**2).dask) != sorted(
          (a.x + a.y**3).dask
      )
      assert sorted((a.x + a.y**2).dask) != sorted(
          (a.x - a.y**2).dask
      )
  
imports: from __future__ import annotations
  import contextlib
  import warnings
  from datetime import datetime
  import numpy
  import pandas
  import pytest
  from pandas.api.types import is_scalar
  import dask.dataframe
  from dask.array.numpy_compat import _numpy_125
  from dask.dataframe._compat import PANDAS_GE_140, PANDAS_GE_150, PANDAS_GE_200, PANDAS_VERSION, check_numeric_only_deprecation
  from dask.dataframe.utils import assert_dask_graph, assert_eq, make_meta, pyarrow_strings_enabled
label_desc: Use image node_id 2 for calling a global function with example usage: test_deterministic_arithmetic_names() without return types