cut someone loose vs push out

cut someone loose

verb
  • To let someone go from something, such as a position, relationship, or obligation. 

push out

verb
  • To force (someone) to leave a group. 

  • To extrude. 

noun
  • In nine ball pool, an optional shot after a legal break shot where a player is allowed to hit any ball first, or not any, as well as not hit a rail, and the opponent can choose who shoots the next shot. 

How often have the words cut someone loose and push out occurred in a corpus of books? (source: Google Ngram Viewer )