go one better vs overtake

go one better

verb
  • To outdo somebody; to do something that surpasses what came before. 

  • To take a bet and add another to it. 

overtake

verb
  • To become greater than something else 

  • To occur unexpectedly; take by surprise; surprise and overcome; carry away 

  • To pass a slower moving object or entity (on the side closest to oncoming traffic). 

noun
  • An act of overtaking; an overtaking maneuver. 

How often have the words go one better and overtake occurred in a corpus of books? (source: Google Ngram Viewer )