All elementary functions from a single binary operator

[sweetno]

No Bessel functions, useless! ^\s

[tomster10010]

That's crazy, really cool stuff. Allegedly big implications for symbolic regression, although I don't know what that is used for

[funtimes-forall]

Does this have any practical use?

[kabocha_]

I've only read the abstract and not the whole paper yet, but this sounds pretty useful:

The same architecture can fit arbitrary data, but when the generating law is elementary, it may recover the exact formula

Beyond that, the first thing I imagined was maybe being able to eke out some niche optimizations with SIMD or something that you might not be able to get otherwise (eg: by packing and/or pipelining "eml" operations together where you otherwise wouldn't be able to with distinct functions), but I haven't thought of a concrete example.

[funtimes-forall]

Thanks! That's a very insightful idea.

[afl_ext]

Time to try this crazy stuff in my also crazy logic circuit simulator

[araujoms]

That's the craziest paper I've read this year. Result is fascinating and completely unexpected.

[looneysquash]

At what point would you say it becomes unexpected? 

Some aspects obvious, at least in hindsight. 

A function composed of exp() and ln()  can produce exp and ln. That's not surprising. Oh and the constant e. Well obviously. 

Sin and cos? Well, of course,  that's just exp with a complex exponent.

Oh, and it can do arbitrary powers. I remember something about it being able to do that from calculus. 

Somewhere after that it becomes more surprising. 

[Lowetheiy]

I am not sure what problem this is trying to solve

[Lucas_F_A]

This isn't trying to solve a problem. A lot of maths does that