code: def tile(cls, op: "DataFrameRename"):
      inp = op.inputs[0]
      out = op.outputs[0]
      chunks = []
  
      dtypes_cache = dict()
      for c in inp.chunks:
          params = c.params
          new_op = op.copy().reset_key()
  
          if op.columns_mapper is not None:
              try:
                  new_dtypes = dtypes_cache[c.index[1]]
              except KeyError:
                  new_dtypes = dtypes_cache[
                      c.index[1]
                  ] = op._calc_renamed_df(c).dtypes
  
              params["columns_value"] = parse_index(
                  new_dtypes.index, store_data=True
              )
              params["dtypes"] = new_dtypes
          if op.index_mapper is not None:
              params["index_value"] = out.index_value
          if out.ndim == 1:
              params["name"] = out.name
  
          if isinstance(op.columns_mapper, dict):
              idx = params["dtypes"].index
              if op._level is not None:
                  idx = idx.get_level_values(op._level)
              new_op._columns_mapper = {
                  k: v for k, v in op.columns_mapper.items() if v in idx
              }
          chunks.append(new_op.new_chunk([c], **params))
  
      new_op = op.copy().reset_key()
      return new_op.new_tileables(
          [inp], chunks=chunks, nsplits=inp.nsplits, **out.params
      )
  
imports: import warnings
  from ...None import opcodes
  from ...core import get_output_types, OutputType
  from ...serialization.serializables import AnyField, StringField
  from ..core import SERIES_TYPE
  from ..operands import DataFrameOperand, DataFrameOperandMixin
  from ..utils import build_df, build_series, validate_axis, parse_index
label_desc: Use image node_id 10 for calling the DataFrameRename obj's underlying member method code with example usage: obj.tile(cls, op) and returns: new_op