bring to heel vs hold sway

bring to heel

verb
  • To cause to act in a disciplined manner. 

  • To compel someone to obey; to force someone into a submissive condition. 

hold sway

verb
  • To have the greatest influence (over someone or something); to be pre-eminent; to dominate. 

How often have the words bring to heel and hold sway occurred in a corpus of books? (source: Google Ngram Viewer )