catch red-handed vs come across

catch red-handed

verb
  • To discover or capture someone in the act of committing a crime. 

come across

verb
  • To find, usually by accident. 

  • To produce what was desired; come up with the goods. 

  • To give an appearance or impression; to project a certain image. 

  • To change sides; to cross over to work for the opposition. 

  • Used other than figuratively or idiomatically: see come, across. 

How often have the words catch red-handed and come across occurred in a corpus of books? (source: Google Ngram Viewer )