hold back vs put a lid on

hold back

verb
  • To contain; stop. 

  • To act with reserve; to contain one's full measure or power. 

  • To delay the progress of, especially in school. 

put a lid on

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

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