bat a thousand vs break one's neck

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. 

break one's neck

verb
  • To make extraordinary efforts to achieve an end; to exert oneself in pursuit of a goal. 

  • Used other than figuratively or idiomatically: see break, neck. 

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