keep down vs rule with a rod of iron

keep down

verb
  • To restrain or control (a sound). 

  • To cause not to increase or rise. 

  • To repress. 

  • Not to vomit. 

  • To lie low. To stay concealed by not standing up 

rule with a rod of iron

verb
  • To rule with stern severity. 

How often have the words keep down and rule with a rod of iron occurred in a corpus of books? (source: Google Ngram Viewer )