code: def random_reduce(circuit, gate_ids, seed=None):
      """Shorten the length of a quantum circuit.
  
      Explanation
      ===========
  
      random_reduce looks for circuit identities in circuit, randomly chooses
      one to remove, and returns a shorter yet equivalent circuit.  If no
      identities are found, the same circuit is returned.
  
      Parameters
      ==========
  
      circuit : Gate tuple of Mul
          A tuple of Gates representing a quantum circuit
      gate_ids : list, GateIdentity
          List of gate identities to find in circuit
      seed : int or list
          seed used for _randrange; to override the random selection, provide a
          list of integers: the elements of gate_ids will be tested in the order
          given by the list
  
      """
      from sympy.core.random import _randrange
  
      if not gate_ids:
          return circuit
  
      if isinstance(circuit, Mul):
          circuit = circuit.args
  
      ids = flatten_ids(gate_ids)
  
      # Create the random integer generator with the seed
      randrange = _randrange(seed)
  
      # Look for an identity in the circuit
      while ids:
          i = randrange(len(ids))
          id = ids.pop(i)
          if find_subcircuit(circuit, id) != -1:
              break
      else:
          # no identity was found
          return circuit
  
      # return circuit with the identity removed
      return replace_subcircuit(circuit, id)
  
file_path: sympy/sympy/physics/quantum/circuitutils.py
imports: from functools import reduce
  from sympy.core.sorting import default_sort_key
  from sympy.core.containers import Tuple
  from sympy.core.mul import Mul
  from sympy.core.symbol import Symbol
  from sympy.core.sympify import sympify
  from sympy.utilities import numbered_symbols
  from sympy.physics.quantum.gate import Gate
label_desc: Use image node_id 7 for calling a global function with example usage: random_reduce(circuit, gate_ids, seed) and returns: replace_subcircuit, circuit, circuit