input: from typing import List
  
  def evaluate_heuristics_performance(data1: List, data2: List) -> str:
      """ Evaluates and compares the performance of two different heuristics algorithms by measuring their execution time.
      Returns a string indicating which algorithm is faster or if they have the same performance time.
      >>> evaluate_heuristics_performance([1, 2, 3], [4, 5, 6])
      'Algorithm 1 is faster than algorithm 2'
      >>> evaluate_heuristics_performance([10, 20, 30], [15, 25, 35])
      'Algorithm 2 is faster than algorithm 1'
      >>> evaluate_heuristics_performance([100], [100])
      'Both algorithms have the same performance time'
      """
output:     import time
  
      start_time1 = time.time()
      # Simulate algorithm 1 execution
      time.sleep(0.1)
      end_time1 = time.time()
  
      start_time2 = time.time()
      # Simulate algorithm 2 execution
      time.sleep(0.1)
      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'