back down vs come forward

back down

verb
  • To withdraw from a commitment or position. 

  • To take a less aggressive position in a conflict than one previously has or has planned to. 

come forward

verb
  • To offer help or information (especially, about a crime). 

  • Used other than figuratively or idiomatically: see come, forward. 

How often have the words back down and come forward occurred in a corpus of books? (source: Google Ngram Viewer )