push out vs stick out

push out

verb
  • To extrude. 

  • To force (someone) to leave a group. 

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. 

stick out

verb
  • To protrude; to extend beyond. 

  • To persist until the end; stick it out. 

  • To be prominent, noticeable, or obtrusive. 

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