once vs once upon a time

once

adv
  • Formerly; during some period in the past. 

  • Multiplied by one: indicating that a number is multiplied by one. 

  • One and only one time. 

conj
  • As soon as; when; after. 

once upon a time

adv
  • A long time ago; at some time in the past (a traditional beginning of children's stories, especially fairy tales). 

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