flout vs fly in the face of

flout

verb
  • To express contempt for (laws, rules, etc.) by word or action. 

noun
  • The act by which something is flouted; violation of a law. 

  • A mockery or insult. 

fly in the face of

verb
  • To act in a manner highly contrary to; to counteract or contradict. 

How often have the words flout and fly in the face of occurred in a corpus of books? (source: Google Ngram Viewer )