close call vs near miss

close call

noun
  • A situation in which an injury or other undesirable outcome is narrowly avoided. 

  • A close brush with nuclear war. 

near miss

noun
  • a scenario which ends safely but might well have ended in disaster 

  • an attempt which fails narrowly; a performance which falls just short of a certain benchmark 

  • a miss which was nearly a hit or collision 

How often have the words close call and near miss occurred in a corpus of books? (source: Google Ngram Viewer )