come up short vs cut short

come up short

verb
  • Synonym of fall short 

cut short

verb
  • To cut someone short, to stop someone from finishing what they are saying. 

  • To interrupt or curtail before the planned end time. 

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

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