pull someone's bacon out of the fire vs save someone's skin

pull someone's bacon out of the fire

verb
  • To rescue someone, especially at the last moment. 

save someone's skin

verb
  • To save someone's life. 

  • To prevent an undesirable occurrence. 

How often have the words pull someone's bacon out of the fire and save someone's skin occurred in a corpus of books? (source: Google Ngram Viewer )