circumstantially vs mistakenly

circumstantially

adv
  • In respect to circumstances; not essentially; accidentally. 

  • in a circumstantial manner 

  • In every circumstance or particular; minutely. 

mistakenly

adv
  • by accident, by mistake, in error (without intention to do so) 

  • wrongly, erroneously 

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