Gordian knot vs quagmire

Gordian knot

noun
  • Any intricate and complex problem having a simple solution. 

  • The legendary knot tied to a pole near the temple of Zeus in Gordium. 

quagmire

noun
  • A perilous, mixed up and troubled situation; a hopeless tangle. 

  • A swampy, soggy area of ground. 

verb
  • To embroil (a person, etc.) in complexity or difficulty. 

How often have the words Gordian knot and quagmire occurred in a corpus of books? (source: Google Ngram Viewer )