go at vs go for

go at

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

  • To try to solve a problem a specific way; to undertake a task. 

  • To initiate an attack on or an argument with. 

go for

verb
  • Used other than figuratively or idiomatically: see go, for. 

  • To try for, to attempt to reach. 

  • To favor, accept; to have a preference for. 

  • To attack. 

  • To develop a strong interest in, especially in a sudden manner; to be infatuated with. 

  • To apply equally to. 

  • To undertake (an action); to choose an option. 

  • To suffice to be used for; to serve as. 

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