cancel out vs counterweigh

cancel out

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

  • To neutralize the effect of. 

counterweigh

verb
  • To act as counterbalance (against something). 

  • To counterbalance; to balance out. 

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