break through vs come out

break through

verb
  • Used other than figuratively or idiomatically: see break, through. 

  • To penetrate the defence of the opposition. 

  • To gain popularity. 

  • To make or force a way through (a barrier) 

come out

verb
  • Used other than figuratively or idiomatically: see come, out. 

  • To express one's opinion openly. 

  • To make a debut in a new field. 

  • To come out of the closet. 

  • To walk onto the field at the beginning of an innings. 

  • To end up or result. 

  • To be deducted from. 

  • To go on strike, especially out of solidarity with other workers. 

  • To be discovered, be revealed. 

  • To become visible in the sky as a result of clouds clearing away. 

  • To be published, be issued. 

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