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Very cool to hear there is agreement with (probably quite challenging?) coding problems as well.

Just ran a couple of them through GPT 5.5, but this is a single attempt, so take any of this with a grain of salt. I'm on the Plus tier with memory off so each chat should have no memory of any other attempt (same goes for other models too).

It seems to be getting more of the impressive insights that Gemini got and doing so much faster, but I'm having a really hard time getting it to spit out a proper lengthy proof in a single prompt, as it loves its "summaries". For the random matrix theory problems, it also doesn't seem to adhere to the notation used in the documents I give it, which is a bit weird. My general impression at the moment is that it is probably on par with Gemini for the important stuff, and both are a bit better than DeepSeek.

I can't stress how much better these three models are than everything else though (at least in my type of math problems). Claude can't get anything nontrivial on any of the problems within ten (!!) minutes of thinking, so I have to shut it off before I run into usage limits. I have colleagues who love using Claude for tiny lemmas and things, so your mileage may vary, but it seems pretty bad at the hard stuff. Kimi and GLM are so vague as to be useless.

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My work is on a p2p database with quite weird constraints and complex and emergent interactions between peers. So it's more a system design problem than coding. Chatgpt 5.x has been helping me close the loop slowly while opus did help me initially a lot but later was missing many of the important details, leading to going in circles to some degree. Still remains to be seen if this whole endeavour will be successful with the current class of models.
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