input: from typing import Any
  
  def compare_heuristics_performance(algorithm1: Any, algorithm2: Any, data1: Any, data2: Any) -> str:
      """Evaluate and compare the performance of two different heuristics algorithms.
  
      >>> compare_heuristics_performance(heuristics_algorithm1, heuristics_algorithm2, data1, data2)
      'Algorithm 1 is faster than algorithm 2'
      """
      import time
  
      start = time.time()
      result1 = algorithm1.run(data1)
      end = time.time()
      time1 = end - start
  
      start = time.time()
      result2 = algorithm2.run(data2)
      end = time.time()
      time2 = end - start
  
      if time1 < time2:
          return "Algorithm 1 is faster than algorithm 2"
      elif time2 < time1:
          return "Algorithm 2 is faster than algorithm 1"
      else:
          return "Both algorithms have the same performance time"
output:     import time
  
      start = time.time()
      result1 = algorithm1.run(data1)
      end = time.time()
      time1 = end - start
  
      start = time.time()
      result2 = algorithm2.run(data2)
      end = time.time()
      time2 = end - start
  
      if time1 < time2:
          return "Algorithm 1 is faster than algorithm 2"
      elif time2 < time1:
          return "Algorithm 2 is faster than algorithm 1"
      else:
          return "Both algorithms have the same performance time"