move ahead vs push on

move ahead

verb
  • to continue without being distracted; to keep going 

  • to proceed; to make or signify progress 

  • to go on to something else 

push on

verb
  • To persist; persevere. 

  • Used other than figuratively or idiomatically: see push, on. 

How often have the words move ahead and push on occurred in a corpus of books? (source: Google Ngram Viewer )