come up with vs put to

come up with

verb
  • To manage to produce, deliver, or present (something) by inventing, creating, thinking of, or obtaining it. 

  • Used other than figuratively or idiomatically: see come, up, with. 

  • To reach or overtake. 

put to

verb
  • To ask or pose a question, or make a proposal or suggestion. 

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