code: def test_head_tail_optimize():
      raw = pd.DataFrame(np.random.rand(4, 3))
  
      df = md.DataFrame(raw, chunk_size=2)
  
      # no nan chunk shape
      assert (
          HeadTailOptimizedOperandMixin._need_tile_head_tail(
              tile(df).head(2).op
          )
          is False
      )
  
      df2 = tile(df[df[0] < 0.5])
      # chunk shape on axis 1 greater than 1
      assert (
          HeadTailOptimizedOperandMixin._need_tile_head_tail(
              df2.head(2).op
          )
          is False
      )
  
      df = md.DataFrame(raw, chunk_size=(2, 3))
      df2 = tile(df[df[0] < 0.5])
      # not slice
      assert (
          HeadTailOptimizedOperandMixin._need_tile_head_tail(
              df2.iloc[2].op
          )
          is False
      )
      # step not None
      assert (
          HeadTailOptimizedOperandMixin._need_tile_head_tail(
              df2.iloc[:2:2].op
          )
          is False
      )
      # not head or tail
      assert (
          HeadTailOptimizedOperandMixin._need_tile_head_tail(
              df2.iloc[1:3].op
          )
          is False
      )
      # slice 1 is not slice(None)
      assert (
          HeadTailOptimizedOperandMixin._need_tile_head_tail(
              df2.iloc[:3, :2].op
          )
          is False
      )
  
imports: import numpy
  import pandas
  import pytest
  from ....None import dataframe
  from ....None import tensor
  from ....core import tile
  from ....tensor.core import TENSOR_CHUNK_TYPE, TENSOR_TYPE, Tensor
  from ...core import SERIES_CHUNK_TYPE, SERIES_TYPE, Series, DATAFRAME_TYPE, DataFrame, DATAFRAME_CHUNK_TYPE
  from ...datasource.from_tensor import dataframe_from_tensor
  from ..iloc import DataFrameIlocGetItem, DataFrameIlocSetItem, IndexingError, HeadTailOptimizedOperandMixin
  from ..loc import DataFrameLocGetItem
label_desc: Use image node_id 11 for calling a global function with example usage: test_head_tail_optimize() without return types