contradict vs fly in the face of

contradict

verb
  • To be contrary to (something). 

  • To deny the truth or validity of (a statement or statements). 

  • To oppose (a person) by denying the truth or pertinence of a given statement. 

fly in the face of

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

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