change sides vs turn one's coat

change sides

verb
  • to change one's loyalty from one team or group to an opposing one 

turn one's coat

verb
  • To turn against a previous affiliation or allegiance. 

  • Used other than figuratively or idiomatically: see turn, coat. 

How often have the words change sides and turn one's coat occurred in a corpus of books? (source: Google Ngram Viewer )