archmage vs magician

archmage

noun
  • A very powerful mage. 

magician

noun
  • A person who plays with or practices allegedly supernatural magic. 

  • A performer of tricks or an escapologist or an illusionist. 

  • An amazingly talented craftsman or scientist. 

  • A spiritualist or practitioner of mystic arts. 

  • A person who astounds; an enigma. 

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