put a lid on vs restrain

put a lid on

verb
  • To get under control, to prevent (something) from increasing or becoming more of a problem. 

restrain

verb
  • To control or keep in check. 

  • To deprive of liberty. 

  • To strain again. 

  • To restrict or limit. 

How often have the words put a lid on and restrain occurred in a corpus of books? (source: Google Ngram Viewer )