Very exciting and uncertain times!
Its still astonishing that any sort of generalized computer program can solve a problem of this magnitude, and we have witnessed it happening in real time.
To be fair, most people have a fairly good handle on "Does opting out my prompts from training runs actually work?", but not on Navier-Stokes. They discuss what more immediately affects them.
That said, I am not in any way trying to discount how incredible of an achievement it is to formalize a millennium prize winning algorithm in Lean. I mean just look at the code that OpenAI published. It’s like an encyclopedia of different fluid dynamics concepts.
To what extent can you optimize Lean? It has to be simple enough to be auditable, does that mean you cannot use opaque optimizations to make it run faster?
I don’t see that doing anything but intensifying in the short term
> Like what?
> Cleaning shit out of clogged toilets!
I think about this a lot. I'll have to explain to my kids some day that there was long period of time where you couldn't just talk to a computer and have it talk back to you, and that communicating with one required special skills that took years of study to master. It's going to be completely impossible for them to even remotely understand what that was like. Sort of like the pre-electricity days for us, but even more-so.
It might also be that they won't even ask or wonder, similar to how most don't really do with pre-machining skills.
Or it could be like our "How did they build the Great Pyramid?!"
As a reference, for that kind of money one could put together a research group of 20-25 researchers, and keep them salaried for 5 years.
So while it is impressive, absolutely no doubt there, the SOTA access is so expensive that it is sort of unobtanium.
Luckily, the prices have historically reduced by a factor of 5-10 every year...but still, only those that swim in cash can afford this.
What would happen if they give an equivalent agent swarm the proof and a target to reduce runtime .
I'm pretty sure you can make Lean at least 10 times faster if you unleash the agents on it.
Somebody ported Doom to run entirely in the TypeScript TYPES (not code). It took 12 days to compile.
https://www.tomshardware.com/video-games/porting-doom-to-typ...
zem•39m ago