give up vs go at

give up

verb
  • To admit defeat, capitulate 

  • Become fully taken over by a certain quality, activity, trait, &c. 

  • To abandon (someone or something) 

  • To relinquish (something) 

  • To execute a trade on behalf of another broker. 

  • To stop or quit (an activity, etc.) 

  • To surrender (someone or something) 

  • To lose hope concerning (someone or something) 

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. 

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