code: def _select_if_vmap_batch(
      axis_size, axis_name, trace, inputs, batch_axes
  ):
      del axis_name, trace
      pred, x, y = inputs
      bp, bx, by = batch_axes
      if bp is batching.not_mapped:
          if bx is batching.not_mapped:
              x = jnp.broadcast_to(x, (axis_size,) + x.shape)
          else:
              x = jnp.moveaxis(x, bx, 0)
          if by is batching.not_mapped:
              y = jnp.broadcast_to(y, (axis_size,) + y.shape)
          else:
              y = jnp.moveaxis(y, by, 0)
          out = _select_if_vmap(pred, x, y, makes_false_steps=False)
      else:
          out = jax.vmap(lax.select, in_axes=(bp, bx, by))(pred, x, y)
      return out, 0
  
imports: import itertools
  from typing import Any, TYPE_CHECKING, Union
  import jax
  import jax.core
  import jax.interpreters.ad
  import jax.interpreters.batching
  import jax.interpreters.mlir
  import jax.lax
  import jax.numpy
  import jax.tree_util
  from jaxtyping import Array, Bool
  from ..._filters import combine, is_array, partition
  from ..._module import field, Module
  from ..._pretty_print import tree_pformat
  from ..._tree import tree_at, tree_equal
  from ..._unvmap import unvmap_any
  from .._nontraceable import nonbatchable
  from .._primitive import create_vprim
label_desc: Use image node_id 5 for calling a global function with example usage: _select_if_vmap_batch(axis_size, axis_name, trace, inputs, batch_axes) and returns: out,  int