cut in on vs work in

cut in on

work in

verb
  • To find time or space for, amid other things. 

  • Used other than figuratively or idiomatically: see work, in. 

  • To work out using a machine in between the sets of someone who is already using that machine. 

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