give up vs go after

give up

verb
  • To abandon (someone or something) 

  • To admit defeat, capitulate 

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

  • 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 after

verb
  • To pursue an object or a goal. 

  • To pursue in attempt to catch another. 

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