come off vs go a long way

come off

verb
  • To have some success; to succeed. 

  • To occur; to take place. 

  • To become detached. 

  • To appear; to seem; to project a certain quality. 

  • To escape or get off (lightly, etc.); to come out of a situation without significant harm. 

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 come off and go a long way occurred in a corpus of books? (source: Google Ngram Viewer )