bow out vs stand down

bow out

verb
  • To resign, or leave, with one's credibility still intact. 

stand down

verb
  • To withdraw or retire from a position or from a team. 

  • To wait; to stop pursuing, stop fighting, or relax from a heightened readiness posture. 

How often have the words bow out and stand down occurred in a corpus of books? (source: Google Ngram Viewer )