cheers vs down the hatch

cheers

verb
  • To say "cheers" as a toast. 

intj
  • goodbye, especially as a sign-off in an email or after writing a comment. 

  • thank you 

  • A common toast used when drinking in company. 

down the hatch

prep
  • Into the mouth and down the throat, especially with regard to the consumption of a beverage. 

How often have the words cheers and down the hatch occurred in a corpus of books? (source: Google Ngram Viewer )