break out vs go a long way

break out

verb
  • Of a record: to achieve success. 

  • To bring out from storage, use, or present. 

  • To rescue someone or aid their escape as in sense 1 

  • To take or force out by breaking. 

  • To escape, especially forcefully or defiantly. Notionally, to escape by breaking. 

  • To separate from a bundle. 

  • To suddenly get pimples or a rash, especially on one's face. 

  • To begin suddenly; to emerge in a certain condition. 

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