input: from typing import List
  
  def compare_heuristics(data: List[float]) -> str:
      """Evaluate and compare the performance of two different heuristics algorithms.
      Given a list of input data, the function will measure the time taken by each 
      algorithm to process the data and return which algorithm is faster.
      >>> compare_heuristics([1.0, 2.0, 3.0])
      'Both algorithms have the same performance time' 
      >>> compare_heuristics([10.0, 20.0, 30.0])
      'Algorithm 1 is faster than algorithm 2'
      """
output:     import time
  
      def algorithm1(data):
          start_time = time.time()
          # Simulate algorithm 1 processing
          for num in data:
              result = num * 2
          return time.time() - start_time
  
      def algorithm2(data):
          start_time = time.time()
          # Simulate algorithm 2 processing
          for num in data:
              result = num / 2
          return time.time() - start_time
  
      time1 = algorithm1(data)
      time2 = algorithm2(data)
  
      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'