Edit: It just occurred to me that the requirements could mean that Uber would have to report on any accidents that have occurred to date, though I'm not sure that conflicts with my original point. I must be mistaken in my original assumption.
No, you are not. Unless there is an injury or death, you just exchange information and pay the other party or let insurance figure it out. "You must call the police or the CHP if the accident caused a death or injury." http://www.calbar.ca.gov/Public/Pamphlets/AutoAccident.aspx#... In WA, you also have to report if there was over $1k in damage. But it is obviously easy to estimate it is under that while at the scene of the accident. http://apps.leg.wa.gov/rcw/default.aspx?cite=46.52.030 Most states are the same. If there wasn't an injury and it isn't impeding traffic, the police don't care.
Fair enough on minimal accidents. As a very young driver (< 6 months experience - i was reading a paper map propped up on the steering wheel as I was waiting for a light/coasting to a stop; bad idea) many years ago I did have a very minimal accident (low speed bumper to bumper), with no visible damage, but I insisted we not involve the police/insurance and agreed I'd pay for everything. That cost me $800 bucks (which was more than a paycheck for me at the time, had to post date a check to her), because I think the lady I bumped into got had by a mechanic.
You haven't had to deal with an insurance company. I've dealt with at least five claims personally. None had a police report. A couple were well over 2k. It would be very easy for a company with Uber's resources to avoid an official report outside a regulatory requirement. If they paid whatever it cost for any driverless accident that didn't involve an injury, there would be no insurance claims, let alone police reports.