put in the shade vs put to shame

put in the shade

verb
  • To outshine, to eclipse, to overshadow, to be better than. 

put to shame

verb
  • To outdo thoroughly; to surpass; to outperform; to show up. 

  • To humiliate; to disgrace. 

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