code: def reindex(self) -> FeatureCollection:
      self.by_logical_type: Dict[
          Union[Type[LogicalType], None],
          Set[LiteFeature],
      ] = {}
      self.by_tag: Dict[str, Set[LiteFeature]] = {}
      self.by_origin_feature: Dict[LiteFeature, Set[LiteFeature]] = {}
      self.by_depth: Dict[int, Set[LiteFeature]] = {}
      self.by_name: Dict[str, LiteFeature] = {}
      self.by_key: Dict[str, List[LiteFeature]] = {}
  
      for feature in self._all_features:
          for key in self.feature_to_keys(feature):
              self.by_key.setdefault(key, []).append(feature)
  
          logical_type = feature.logical_type
          self.by_logical_type.setdefault(logical_type, set()).add(
              feature
          )
  
          tags = feature.tags
          for tag in tags:
              self.by_tag.setdefault(tag, set()).add(feature)
  
          origin_features = feature.get_origin_features()
          for origin_feature in origin_features:
              self.by_origin_feature.setdefault(
                  origin_feature, set()
              ).add(feature)
  
          if feature.depth == 0:
              self.by_origin_feature.setdefault(feature, set()).add(
                  feature
              )
  
          feature_name = feature.name
          assert feature_name is not None
          assert feature_name not in self.by_name
  
          self.by_name[feature_name] = feature
  
      self.indexed = True
  
      return self
  
imports: from __future__ import annotations
  import hashlib
  from itertools import combinations
  from typing import Any, Dict, List, Optional, Set, Type, Union, cast
  from woodwork.logical_types import LogicalType
  from featuretools.feature_discovery.LiteFeature import LiteFeature
  from featuretools.feature_discovery.type_defs import ANY
  from featuretools.feature_discovery.utils import hash_primitive, logical_types_map
  from featuretools.primitives.base.primitive_base import PrimitiveBase
  from featuretools.primitives.utils import PrimitivesDeserializer
label_desc: Use image node_id 9 for calling the FeatureCollection obj's underlying member method code with example usage: obj.reindex() and returns: self