go a long way vs win the day

go a long way

verb
  • To achieve considerable success. 

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

win the day

verb
  • To gain complete victory or success over something or someone. 

  • To be totally accepted by other people. 

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