conk out vs sleep in

conk out

verb
  • to fall fast asleep; to sleep soundly 

  • to stop functioning 

  • to die 

sleep in

verb
  • To sleep late; to go on sleeping past one's customary or planned hour. 

  • Used other than figuratively or idiomatically: see sleep, in. 

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