Interestingly, they keep getting into "smaller" sounds. Snaps are kind of long-ish, potentially. Something can slowly snap (jerk primed) in two, it's not "as instantaneous a sound" as the two others. Compare to the pops (third) that are part of any crackle (second) you might hear. I always find it a little extra clever that they're ordered "like derivatives".
Snap, Crackle, and Pop were three cartoon mascots of Rice Krispies cereal. (Mentioning only because non-US or "other generation" people might not get the reference.)