counterweigh vs equilibrate

counterweigh

verb
  • To counterbalance; to balance out. 

  • To act as counterbalance (against something). 

equilibrate

verb
  • To balance, or bring into equilibrium. 

  • To balance, to be in a state of equilibrium. 

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