come a cropper vs meet one's Waterloo

come a cropper

verb
  • To suffer some accident or misfortune; to fail. 

  • To fall headlong from a horse. 

meet one's Waterloo

verb
  • To be decisively defeated by an encounter with a powerful opponent or a problem that is too difficult. 

How often have the words come a cropper and meet one's Waterloo occurred in a corpus of books? (source: Google Ngram Viewer )