fall back vs run out of steam

fall back

verb
  • To fail to fulfill a promise or purpose. 

  • To retreat. 

  • Used other than figuratively or idiomatically: see fall, back. 

run out of steam

verb
  • To run out of energy or motivation. 

How often have the words fall back and run out of steam occurred in a corpus of books? (source: Google Ngram Viewer )