break one's back vs go all out

break one's back

verb
  • Synonym of strive: to apply oneself completely to the point of physical exhaustion or incapacity. 

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

go all out

verb
  • To reserve nothing; to put forth all possible effort or resources. 

How often have the words break one's back and go all out occurred in a corpus of books? (source: Google Ngram Viewer )