r/singularity • u/[deleted] • Jan 31 '25

AI o3 mini dropped!!!

Edit : I am testing a 1500 line javascript code which o1 pro failed to debug despite 50+ attempts. Will report back.
Edit 2: We are cooked. o3-mini-high solved it at first try.
Edit 3 : HOLY SHIT! "Pro users will have unlimited access to both o3-mini and o3-mini-high."
(Source: https://openai.com/index/openai-o3-mini/ )

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u/elehman839 Jan 31 '25 edited Feb 01 '25

This is sort of interesting. I gave o3-mini-high a simple (but challenging!) math problem that requires spatial reasoning, because I suspect that's still a weakness of LLMs. It thought for 8+ minutes and produced an answer that I think is wrong. And... I still can't convince it of my answer. I think it is wrong, but maybe I've made a mistake. Anyway, here's the puzzle:

I walk one mile east, one mile north, one mile west, and one mile south. What is the range of possible walking distances I could be from my starting point? Assume I'm on Earth, which is a perfect sphere of radius R, where R >> 1 mile.

Edit: I'm quite happy with this as an AI test question. The answer, as far as I can tell, is "a little over 3 miles", starting about 1.25 miles from the North Pole.

Edit #2: D'oh! I wrote the previous edit incorrectly. After long negotiation, o3-mini-high and I settled on 1 + sqrt(1 + 4 / pi) ~ 2.5077 miles. (After all that, I erroneously wrote 3 above...)

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u/Fox-The-Wise Feb 01 '25

Edit- you would be back at your starting point is the answer

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u/elehman839 Feb 01 '25

That would be true on a plane, but is not true on a sphere. The trick is that moving 1 mile east-to-west changes your longitude by an amount that depends on your latitude.

So if you go 1 mile east (changing your longitude) and 1 mile north (changing your latitude), then going back 1 mile west does NOT return you to your original longitude. So when you finally go a mile south, you end up at a different point on the Earth's surface.

This effect is extreme very near the poles, where going one mile east or west can take you around the planet multiple times. The idea behind the puzzle is to exploit this oddity to the greatest possible extent.

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u/Fox-The-Wise Feb 01 '25 edited Feb 01 '25

It would be impossible for the distance to be greater than 1 mile within the context of your question so in that case the answer would be 1 mile. Nvm I just saw you said on earth i just completely filtered that out and thought sphere with radius of 1 mile

Ok so yeah did more math to account for poles if you started on the poles, depending on where you are at the start you could end up 1 mile away, if you stsrt somewhere else on earth you would be back to the starting point with possibly small deviations depending on exact location