If the models that got a gold medal are anything like those used on ARC-AGI, then you can bet they wrote an insane amount of text trying to reason their ways through these problems. Like, several bookshelves worth of writings.

So funnily enough, "the AI wrote x times the library of Congress to get there" is good enough of a comparison.

Dollars of compute at market rate is what I'd like to see, to check whether calling this tool would cost $100 or $100,000

4.5 hours × 2 "days", 100 Wats including support system.

I'm not sure how to implement the "no calculator" rule :) but for this kind of problems it's not critical.

Total = 900Wh = 3.24MJ

100 watts seems very low. A single Nvidia GeForce RTX 5090 is rated at ~600 watts. Probably they are using many GPUs/TPUs in parallel.

I forgot to explain in my comment, but my calculation is for humans.

If the computer uses ~600W, let's give it 45+45 minutes and we are even :) If they want to use many GPU ...

Convert libraries, elephants, etc into SI of course! Otherwise, they aren't really comparable...

Kilocalories. A unit of energy that equals 4184 Joules.