don't mention it vs yw

don't mention it

phrase
  • A polite way of responding to thanks, by suggesting that the service is too trivial or humble to warrant thanks; you're welcome. 

  • Used other than figuratively or idiomatically: see don't, mention, it. 

yw

How often have the words don't mention it and yw occurred in a corpus of books? (source: Google Ngram Viewer )