bat a thousand vs do one's damnedest

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. 

do one's damnedest

verb
  • To do one's utmost; to make every effort or to try every possible approach or way. 

How often have the words bat a thousand and do one's damnedest occurred in a corpus of books? (source: Google Ngram Viewer )