def _line_search_inner_bisection(
    value_and_gradients_function,
    search_interval,
    active,
    f_lim):
  """"""
  midpoint = (search_interval.left.x + search_interval.right.x) / 2
  val_mid = value_and_gradients_function(midpoint)
  is_valid_mid = hzl.is_finite(val_mid)

  still_active = active & is_valid_mid
  new_failed = active & ~is_valid_mid
  next_inteval = search_interval._replace(
      failed=search_interval.failed | new_failed,
      func_evals=search_interval.func_evals + 1)

  def _apply_update():
    update_result = hzl.update(
        value_and_gradients_function, next_inteval.left, next_inteval.right,
        val_mid, f_lim, active=still_active)
    return HagerZhangLineSearchResult(
        converged=next_inteval.converged,
        failed=next_inteval.failed | update_result.failed,
        iterations=next_inteval.iterations + update_result.iteration,
        func_evals=next_inteval.func_evals + update_result.num_evals,
        left=update_result.left,
        right=update_result.right)

  return prefer_static.cond(
      tf.reduce_any(input_tensor=still_active),
      _apply_update,
      lambda: next_inteval)