bat a thousand vs go a long way

bat a thousand

verb
  • To achieve success at each attempt. 

  • To have identical outcomes with each attempt. 

  • To achieve perfection. 

  • To reach first base on every at-bat. 

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