break a sweat vs give it one's best shot

break a sweat

verb
  • To put effort into something. 

  • To start sweating. 

give it one's best shot

verb
  • To make one's best effort or attempt; to try as hard as possible. 

How often have the words break a sweat and give it one's best shot occurred in a corpus of books? (source: Google Ngram Viewer )