search vs work out

search

verb
  • To look in (a place) for something. 

  • To look thoroughly. 

noun
  • The act of searching in general. 

  • An attempt to find something. 

work out

verb
  • To make sense of. 

  • To strengthen a part one’s body by exercise. 

  • To earn a wage working away from one's farm. 

  • To bring about or cause to happen by work or effort. 

  • To succeed; to result in a satisfactory situation. 

  • To conclude with the correct solution. 

  • To remove all the mineral that can be profitably exploited. 

  • To smooth or perfect. 

  • To exercise, especially by lifting weights. 

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

  • To calculate. 

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