move forward vs pull back

move forward

verb
  • Used other than figuratively or idiomatically: see move, forward. 

  • To modernize. 

  • To reschedule (something) to an earlier date or time. 

  • To cause to make progress. 

  • To make progress. 

pull back

verb
  • Used other than figuratively or idiomatically: see pull, back. 

  • To retreat. 

  • To pass (the ball) into a position further from the attacking goal line. 

  • To score when the team is losing. 

How often have the words move forward and pull back occurred in a corpus of books? (source: Google Ngram Viewer )