break one's neck vs cut the cheese

break one's neck

verb
  • Used other than figuratively or idiomatically: see break, neck. 

  • To make extraordinary efforts to achieve an end; to exert oneself in pursuit of a goal. 

cut the cheese

verb
  • Used other than figuratively or idiomatically: see cut, cheese. 

  • To fart (flatulate). 

  • Hey, who cut the cheese? 

How often have the words break one's neck and cut the cheese occurred in a corpus of books? (source: Google Ngram Viewer )