by no stretch of the imagination vs under no circumstances

by no stretch of the imagination

prep
  • Synonym of in no way: never ever, not for any reason; in no sense. 

  • Synonym of by no means: certainly not, definitely not, not by any means. 

under no circumstances

prep
  • never ever, not for any reason 

How often have the words by no stretch of the imagination and under no circumstances occurred in a corpus of books? (source: Google Ngram Viewer )