blind alley vs downfall

blind alley

noun
  • A course of inquiry that leads nowhere. 

  • Used other than figuratively or idiomatically: see blind, alley. A street or passageway that leads nowhere. 

downfall

verb
  • To fall down; deteriorate; decline. 

noun
  • The cause of such a fall; a critical blow or error. 

  • A precipitous decline in fortune; death or rapid deterioration, as in status or wealth. 

  • An act of falling down. 

How often have the words blind alley and downfall occurred in a corpus of books? (source: Google Ngram Viewer )