laugh at vs outlaugh

laugh at

verb
  • To scorn or tease; to evince contempt or pity for someone, usually contrasted with laugh with. 

  • Used other than figuratively or idiomatically: see laugh, at. 

outlaugh

verb
  • To ridicule or laugh someone out of a purpose, principle, etc.; laugh down; discourage or put out of countenance by laughing. 

  • To laugh louder than, surpass in laughing. 

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