input: from typing import List
  
  def compare_heuristic_performance(data1: List[float], data2: List[float]) -> str:
      """Evaluate and compare the performance of two different heuristics algorithms.
      The function evaluates the performance of two heuristics by measuring the time it takes to process the given input data.
      
      >>> compare_heuristic_performance([1, 2, 3, 4], [5, 6, 7, 8])
      'Both algorithms have the same performance time'
      
      >>> compare_heuristic_performance([1, 2, 3, 4, 5], [6, 7, 8, 9])
      'Algorithm 1 is faster than algorithm 2'
      
      >>> compare_heuristic_performance([1, 2, 3, 4, 5, 6], [6, 7, 8, 9, 10, 11])
      'Algorithm 2 is faster than algorithm 1'
      """
output:     import time
  
      start_time1 = time.time()
      for num in data1:
          time.sleep(0.001)  # Simulate processing time
      end_time1 = time.time()
  
      start_time2 = time.time()
      for num in data2:
          time.sleep(0.001)  # Simulate processing time
      end_time2 = time.time()
  
      time1 = end_time1 - start_time1
      time2 = end_time2 - start_time2
  
      if time1 < time2:
          return 'Algorithm 1 is faster than algorithm 2'
      elif time1 > time2:
          return 'Algorithm 2 is faster than algorithm 1'
      else:
          return 'Both algorithms have the same performance time'