You are right, but Google search is a terrible way to make the comparison. They are returning all websites that are vaguely related to the phase, not doing a word search.
No, I'm doing a quoted phrase search, not a vague vector similarity search. Turning on verbatim mode doesn't change the results much (13 times more instead of 15).
https://books.google.com/ngrams/graph?content=elegantly+simp... is much more accurate.