come up vs spring out

come up

verb
  • To come to attention, present itself; to arrive or appear. 

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

  • To come towards, to approach. 

  • To draw near in time. 

  • To rise (above the horizon). 

  • To emerge or become known, especially unexpectedly. 

  • To arrive at the university. (Compare go down, send down.) 

  • To begin to feel the effects of a recreational drug. 

  • To appear (before a judge or court). 

spring out

verb
  • To emerge or arise. 

  • Used other than figuratively or idiomatically: see spring, out. 

  • To break out; to escape. 

  • To spend the season of spring in outdoor pursuits such as camping. 

How often have the words come up and spring out occurred in a corpus of books? (source: Google Ngram Viewer )