calumniate vs drag someone's name through the mire

calumniate

verb
  • To make hurtful untrue comments about. 

  • To levy a false charge against, especially of a vague offense, with the intent to damage someone's reputation or standing. 

drag someone's name through the mire

How often have the words calumniate and drag someone's name through the mire occurred in a corpus of books? (source: Google Ngram Viewer )