add fuel to the fire vs fan the flames

add fuel to the fire

verb
  • To worsen a conflict between people; to inflame an already tense situation. 

  • Used other than figuratively or idiomatically: see add, fuel, fire. 

fan the flames

verb
  • To intensify or worsen an already difficult situation. 

How often have the words add fuel to the fire and fan the flames occurred in a corpus of books? (source: Google Ngram Viewer )