annul vs counterweigh

annul

verb
  • To formally revoke the validity of. 

  • To dissolve (a marital union) on the grounds that it is not valid. 

counterweigh

verb
  • To counterbalance; to balance out. 

  • To act as counterbalance (against something). 

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