bulge out vs poke out

bulge out

poke out

verb
  • To remove (something) by poking (often creating a hole in the process). 

  • To cause (something) to protrude or emerge. 

  • To be barely visible past an obstruction or obstructions; to protrude. 

  • To emerge from behind, in, or under something. 

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