cut down vs phase down

cut down

verb
  • To reduce the amount of something. 

  • To insult, to belittle. 

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

  • To bring down by cutting. 

phase down

verb
  • To gradually reduce the size or scale of 

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