Then let's add some perspective. You must be referring this[0] paper. If the average person puts on 1,000 miles per month[1], then that means they'd have to deal with disengagement (a mishap) at least twice a year, which is not acceptable for fully autonomous driving. I'm going to define a "fully autonomous vehicle" as "a vehicle which should not
ever require me to sit in the front seat and control it under any conceivable circumstance".
Put differently, I should be able to lay down for a nap in the back seat and wake up at my destination without any chance for disengagement during my entire lifetime. At the current rate of 1 mishap per 5,500miles, I would be dead after about 6 months.
Assuming a human lives to 75 years (we should really be using 75years minus 16years, but it's unimportant), a lifetime of driving is about 1,000mi/mo x 12mo/yr x 75yr = 900,000 miles. I don't even want the probability of encountering a mishap to be once per lifetime, let alone once per 6 months. One mishap per 900,000 miles isn't enough, because, on average, I'd encounter one disengagement in my lifetime. Assuming we're striving for a world where 7 billion people can drive without a single incident in 75 years (a vast underestimate), we need the probability of a mishap to occur to be less than once per 7,000,000,000humans x 900,000mi/human = 63 x 10^14 miles.
1/5e3 is not even close to 1/6e15. We're talking about 12 orders of magnitude in our error rate. I'd say we're laughably far away from our goal. We've got a long way to go.
[0] https://www.dmv.ca.gov/portal/wcm/connect/42aff875-7ab1-4115...
[1] https://www.fool.com/investing/general/2015/01/25/the-averag...