come up short vs fall into

come up short

verb
  • Synonym of fall short 

fall into

verb
  • To be classified as; to fall under. 

  • To enter something (especially a profession) without having planned it. 

  • To enter a condition or state, especially a negative one. 

  • To go into something by falling. 

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