code: def _iterate_shift_rule_with_multipliers(rule, order, period):
      r"""Helper method to repeat a shift rule that includes multipliers multiple
      times along the same parameter axis for higher-order derivatives.
      """
      combined_rules = []
  
      for partial_rules in itertools.product(rule, repeat=order):
          c, m, s = np.stack(partial_rules).T
          cumul_shift = 0.0
          for _m, _s in zip(m, s):
              cumul_shift *= _m
              cumul_shift += _s
          if period is not None:
              cumul_shift = (
                  np.mod(cumul_shift + 0.5 * period, period)
                  - 0.5 * period
              )
          combined_rules.append(
              np.stack([np.prod(c), np.prod(m), cumul_shift])
          )
  
      # combine all terms in the linear combination into a single
      # array, with column order (coefficients, multipliers, shifts)
      return qml.math.stack(combined_rules)
  
imports: import functools
  import itertools
  import numbers
  import warnings
  import numpy
  import pennylane
  from pennylane.measurements import MeasurementProcess
  from pennylane.ops.functions import bind_new_parameters
  from pennylane.tape import QuantumScript
label_desc: Use image node_id 5 for calling a global function with example usage: _iterate_shift_rule_with_multipliers(rule, order, period) and returns: qml