To fleap (past tense, flept) is to perfrom an intricate act comprising simultaneously flipping and leaping, in that order. Note that leaping, and then flipping does not count; first you must flip, then you must leap. Originally used in the circus community (e.g., the popular Fabulous Fleaping Five), it may now be used colloquially to describe any sort of exuberant outburst.
"Wow, did you see Andrew when the vending machine gave him an extra dollar in change?"
"Yeah, he was positively fleaping with joy."