cast down vs hang out to dry

cast down

verb
  • Used other than figuratively or idiomatically: see cast, down. 

  • To overthrow, to defeat or bring to ruin. 

  • To make (a person) discouraged or dejected. 

hang out to dry

verb
  • Used other than figuratively or idiomatically: see hang, out, dry. 

  • To abandon someone who is in need or in danger, especially a colleague or one dependent. 

How often have the words cast down and hang out to dry occurred in a corpus of books? (source: Google Ngram Viewer )