bite the bullet vs surmise

bite the bullet

verb
  • To accept a counterintuitive implication of an argument or view. 

  • To accept a negative aspect of a situation in order to proceed. 

surmise

verb
  • To imagine or suspect; to conjecture; to posit with contestable premises. 

noun
  • Thought, imagination, or conjecture, which may be based upon feeble or scanty evidence; suspicion; guess. 

  • Reflection; thought; posit. 

How often have the words bite the bullet and surmise occurred in a corpus of books? (source: Google Ngram Viewer )