pan out vs work through

pan out

verb
  • To proceed according to plan; to result or end up. 

  • To separate and recover (valuable minerals) by swirling dirt or crushed rock in a pan of water, in the manner of a traditional prospector seeking gold. 

work through

verb
  • To get past a difficult or stressful situation by thinking or talking about it. 

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

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