I still have NO clue why you would teach your horse to rear or buck under saddle. That was not a capriole, that was a buck, and the girl does not sit well on her horse.
What I am impressed with is the vaulting - I think I went a little green with envy there!
Some of those tricks are really cool, but some can be dangerous. The rear did not look controlled, and more like the pony was peeved than anything else.