cave in vs puff out

cave in

noun
  • The act of relenting. 

  • The location where something has caved in. 

  • The act of something collapsing or caving in. 

verb
  • To collapse inward or downward. 

  • To relent; to grant approval against one's initial will. 

puff out

verb
  • To inflate. 

  • To blow briefly and lightly. 

How often have the words cave in and puff out occurred in a corpus of books? (source: Google Ngram Viewer )