as in vs in other words

as in

adv

  • Used other than figuratively or idiomatically: see as, in. 

  • In the sense of. 

in other words

adv

  • used to introduce an explanation, simplification, or clarification 

prep

  • Stated or interpreted another way; Used to introduce an explanation, simplification, or clarification. 

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