Yes, they have, lots of public data. The latest show that autopilot on is just slightly better than a human re. safety (but Teslas overall are about 10x safer than the average car already).
Tesla has not provided any numbers supporting that, and what numbers they have provided are so obviously flawed as to be either designed to mislead or produce by someone utterly ignorant of statistics. I’m assuming the former, but who knows.
You’re asking for evidence that can’t possibly exist yet. They’ve only had the FSD beta out for a week, and only for a tiny subset of the fleet. It takes time to accumulate accurate stats and publish them. According to the NHTSA, there is one accident for every 479,000 miles driven. For Teslas with automatic safety features disabled (no AEB), the accident rate is 1/3rd the NHTSA average.[1] They’ll need tens or hundreds of millions of miles driven to get accurate safety figures.
Many other FSD companies are doing testing with professional safety drivers, sometimes on closed courses or in specific cities with well-understood road systems. Presumably Teslas has done the same thing, and they have data from that? If they don't have such data, that means they're trying to develop this data using amateur Tesla owners on public streets all over the country, which seems quite a bit less safe.
The other stats in this thread make it sound like Tesla is not even the same league as other attempts at driving.