boggle vs cross someone's mind

boggle

verb
  • To be bewildered, dumbfounded, or confused. 

  • Either literally or figuratively to stop or hesitate as if suddenly seeing a bogle. 

  • To confuse or mystify; overwhelm. 

  • To embarrass with difficulties; to palter or equivocate; to bungle or botch. 

  • To wiggle the eyes as a result of bruxing. 

cross someone's mind

verb
  • To come into someone's thoughts suddenly and fleetingly. 

How often have the words boggle and cross someone's mind occurred in a corpus of books? (source: Google Ngram Viewer )