inaugurate vs start the ball rolling

inaugurate

verb
  • To dedicate ceremoniously; to initiate something in a formal manner. 

  • To induct into office with a formal ceremony. 

adj
  • Invested with office; inaugurated. 

start the ball rolling

verb
  • Synonym of get the ball rolling. 

How often have the words inaugurate and start the ball rolling occurred in a corpus of books? (source: Google Ngram Viewer )