cheapen vs cut down to size

cheapen

verb
  • to make vulgar 

  • to become cheaper 

  • to decrease the value of; to make cheaper 

cut down to size

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

  • To humble or humiliate, especially someone or something that is perceived as overly domineering or too proud. 

How often have the words cheapen and cut down to size occurred in a corpus of books? (source: Google Ngram Viewer )