Earlier quoted context omitted.
> faster even than hand-tuned assembly I think you and I are working off different definitions of what that means, as my definition doesn't really allow for a faster implementation (unless there's some really spooky stuff going on in the compiler). I suspect you mean faster than a popular hand tuned implementation.
I don't believe it is possible to hand tune every program to beat a compiler.
Programmers are creative, compilers are well-tuned machines. Sometimes it's tough to beat a compiler's code, but I'm not sure that 'impossible' is meaningful.
Monkeys with typewriters could function as a highly parallel superoptimiser, after all.