let go vs rule out

let go

verb
  • To dismiss from employment. 

  • To release from one's grasp; to go from a state of holding on to a state of no longer holding on. 

  • To ignore (a comment, etc.). 

  • To emotionally disengage or to distract oneself from a situation. 

  • To fail to maintain a standard of appearance, behavior, or performance. 

  • Used other than figuratively or idiomatically: see let, go. 

  • To gain weight 

rule out

verb
  • To disallow. 

  • To reject an option from a list of possibilities. 

  • To make something impossible. 

  • To cross an item out by drawing a straight line through it, as with a ruler. 

  • To make unavailable. 

How often have the words let go and rule out occurred in a corpus of books? (source: Google Ngram Viewer )