take the chill off vs tone down

take the chill off

verb
  • To become less cold; to warm up slightly 

  • To make something less cold; to warm up slightly 

tone down

verb
  • To relax; to make quieter or less obtrusive; to make milder. 

  • To make a television program, piece of writing, etc. less offensive and so more suitable for a family audience. 

  • To moderate or relax; to diminish or weaken the striking characteristics of; to soften. 

How often have the words take the chill off and tone down occurred in a corpus of books? (source: Google Ngram Viewer )