code: def _tile_handler(self, tileable: TileableType) -> tile_gen_type:
      from ....core.operand import Fetch
  
      tileable = self._get_data(tileable)
  
      if isinstance(tileable.op, Fetch) and not tileable.is_coarse():
          return [tileable]
  
      assert tileable.is_coarse()
  
      # copy tileable
      tiled_tileables = copy_tileables(
          tileable.op.outputs,
          inputs=[self._tile_context[inp] for inp in tileable.inputs],
          copy_key=True,
          copy_id=False,
      )
      tiled_tileables = [self._get_data(t) for t in tiled_tileables]
      # start to tile
      tiled_tileables = yield from handler.tile(tiled_tileables)
      return tiled_tileables
  
imports: import dataclasses
  import functools
  from typing import Callable, Dict, Generator, Iterable, List, Optional, Set, Type, Union
  from ....core import FUSE_CHUNK_TYPE, CHUNK_TYPE, TILEABLE_TYPE
  from ....typing import EntityType, TileableType, ChunkType
  from ....utils import copy_tileables, build_fetch
  from ...entity.tileables import handler
  from ...mode import enter_mode
  from ..entity import TileableGraph, ChunkGraph
  from .base import AbstractGraphBuilder
label_desc: Use image node_id 4 for calling the Tiler obj's underlying member method code with example usage: obj._tile_handler(tileable) and returns: tiled_tileables, list