cancel out vs counterpose

cancel out

verb
  • To neutralize the effect of. 

  • Of two or more things: to neutralize each other's effect. 

counterpose

verb
  • To act as a counterweight; to counterbalance. 

noun
  • A pose taken in opposition to another. 

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