go one better vs outweigh

go one better

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

  • To take a bet and add another to it. 

outweigh

verb
  • To exceed in importance or value. 

  • To exceed in weight or mass. 

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