code: def _merge_branch_residuals(branch_res_avals):
      def enumerate_equal(xs):
          counts = {v: itertools.count() for v in set(xs)}
          return [(x, next(counts[x])) for x in xs]
  
      branch_res_tagged_avals = map(enumerate_equal, branch_res_avals)
      all_tagged_avals = _ordered_unique(
          util.concatenate(branch_res_tagged_avals)
      )
      indices = {v: i for i, v in enumerate(all_tagged_avals)}
      branch_indices = [
          [indices[aval] for aval in avals]
          for avals in branch_res_tagged_avals
      ]
      all_avals = [x for x, _ in all_tagged_avals]
      return all_avals, branch_indices
  
imports: from __future__ import annotations
  import collections
  from collections.abc import Sequence
  import functools
  from functools import partial
  import inspect
  import itertools
  import operator
  from typing import Any, Callable, TypeVar
  from jax.tree_util import tree_flatten, tree_unflatten
  from jax._src import ad_util
  from jax._src import config
  from jax._src import core
  from jax._src import dispatch
  from jax._src import dtypes
  from jax._src import effects
  from jax._src import linear_util
  from jax._src import source_info_util
  from jax._src import util
  from jax._src.state.discharge import register_discharge_rule, discharge_state
  from jax._src.state.types import AbstractRef, RefEffect
  from jax._src.core import ConcreteArray, raise_to_shaped, replace_jaxpr_effects
  from jax._src.interpreters import ad
  from jax._src.interpreters import batching
  from jax._src.interpreters import mlir
  from jax._src.interpreters import partial_eval
  from jax._src.interpreters import xla
  from jax._src.lax import lax
  from jax._src.traceback_util import api_boundary
  from jax._src.util import safe_map, split_list, partition_list
  from jax._src.lib.mlir import ir
  from jax._src.lib.mlir.dialects import hlo
  import numpy
  from jax._src.lax.control_flow.common import _abstractify, _avals_short, _check_tree_and_avals, _initial_style_jaxprs_with_common_consts, _make_closed_jaxpr, _prune_zeros, _typecheck_param
label_desc: Use image node_id 13 for calling a global function with example usage: _merge_branch_residuals(branch_res_avals) and returns: all_avals,  branch_indices, unknown