prove out vs take to each other

prove out

verb
  • To turn out to be feasible, accurate, true, satisfactory, as expected, hoped, stated, etc. 

  • To demonstrate the feasibility of; to show or be shown to be feasible, accurate, true, satisfactory, as expected, hoped, stated, etc. 

take to each other

How often have the words prove out and take to each other occurred in a corpus of books? (source: Google Ngram Viewer )