toil vs twiddle one's thumbs

toil

verb
  • To work (something); often with out. 

  • To struggle. 

  • To labour; work. 

  • To weary through excessive labour. 

noun
  • Trouble, strife. 

  • Labour, work, especially of a grueling nature. 

  • A net or snare; any thread, web, or string spread for taking prey. 

twiddle one's thumbs

verb
  • To wait or dawdle; to accomplish nothing useful or lack a useful occupation. 

  • to circle one's thumbs around one another, usually with the fingers interlaced, usually done idly while waiting or bored 

How often have the words toil and twiddle one's thumbs occurred in a corpus of books? (source: Google Ngram Viewer )