jigsaw vs tough nut to crack

jigsaw

noun
  • A jigsaw puzzle. 

  • Something that can be compared to a jigsaw puzzle. 

  • A power saw with fine teeth and a narrow blade which can cut curves in wood or metal. 

verb
  • To cut something using a jigsaw. 

tough nut to crack

noun
  • A problem that is challenging to solve. 

  • A situation, person, group, etc. which is difficult to deal with. 

  • A place, opportunity, etc. to which it is difficult to gain entry. 

  • An amount that is difficult to finance. 

How often have the words jigsaw and tough nut to crack occurred in a corpus of books? (source: Google Ngram Viewer )