exist vs outlive

exist

verb
  • to be; have existence; have being or reality 

outlive

verb
  • To live through or past (a given time). 

  • To live longer; continue to live. 

  • To live longer than; continue to live after the death of; overlive; survive. 

  • To surpass in duration; outlast. 

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