achieve vs go a long way

achieve

verb
  • To carry out successfully; to accomplish. 

  • Show all the spoils by valiant kings achieved. 

  • To succeed in something, now especially in academic performance. 

  • To obtain (a material thing). 

  • To obtain, or gain (a desired result, objective etc.), as the result of exertion; to succeed in gaining; to win. 

go a long way

verb
  • To achieve considerable success. 

  • To be adequate or helpful for a significant amount of time. 

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