Evil, evil ice. I suggest salting it to death.
I to have had more falls than I can count, and amazingly never broken anything other than my tailbone. (don't do that it hurts like hell) My first, the horse hit a divot at a dead run (I was 12 and dind't know what barn sour meant)and I went forward, landing on the saddle horn, then on his neck, then off sideways. He stopped ten feet away and gave me a look like "why did you get off, we aren't home yet" needless to say, getting back on wasn't an option, I wasn't walking home.
My most FUN fall was when a mare I was on dsecided to try side kicking the gelding to her left and I went off to her right, and landed on my feet. Completely not posible, but very cool. They are right though, get back on, no matter how much it hurts, prove to yourself, and the horse that you're not scared, and they can't get away with dumping you. Of course, I don't think the ice cares, but I'd kill it anyway.
We need to create tailbone protectors!!!