bring to bear vs put forth

bring to bear

verb
  • To apply; to employ something to achieve an intended effect. 

  • To aim a weapon at a target. 

put forth

verb
  • To give or supply; to make or create (implies trying or striving). 

  • To grow, shoot, bud, or germinate. 

  • (of a ship) To leave (a port or haven). 

  • To emit, send out, give off (light, odour, etc.). 

  • To advance, offer, propose (often verbally). 

  • To extend forward (a body part or something held). 

How often have the words bring to bear and put forth occurred in a corpus of books? (source: Google Ngram Viewer )