'bye vs adieu

'bye

intj
  • Goodbye: used when the speaker or addressee is departing. 

adieu

intj
  • Said to wish a final farewell; goodbye. 

noun
  • A farewell, a goodbye; especially a fond farewell, or a lasting or permanent farewell. 

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