bend over backwards vs undertake

bend over backwards

verb
  • To make a great effort; to take extraordinary care; to go to great lengths. 

  • Used other than figuratively or idiomatically: see bend over, backwards. 

undertake

verb
  • To take upon oneself; to start, to embark on (a specific task etc.). 

  • To commit oneself (to an obligation, activity etc.). 

  • To pass a slower moving vehicle on the curbside rather than on the side closest to oncoming traffic. 

noun
  • The passing of slower traffic on the curbside rather than on the side closest to oncoming traffic. 

How often have the words bend over backwards and undertake occurred in a corpus of books? (source: Google Ngram Viewer )