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I wrote this in March, that coming up with a clever solution to the map folding problem in my quest for the 8x8 case would be a good sign LLMs were getting scary smart. Grok 4 made good headway today, coming up with a working multi-GPU implementation! https://t.co/J819AnCLO9
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"text": "But then I figured out a way to get an 8x speedup for cases where the edge length is a power of 2 (i.e. 2x2, 4xr4, and importantly 8x8) thanks to the symmetry and grok 4, o3 and Gemini 2.5 pro all failed to implement this - they're all hard-wired to interpret 8-fold symmetry like so: \n\n\"Symmetry of a Square: A square has 8 symmetries, described by the dihedral group D4. These are:\nFour rotational symmetries (0°, 90°, 180°, 270°).\nFour reflectional symmetries (across the horizontal, vertical, and two diagonal axes).\"\n\n(Classic math olympiad stuff)\n\nBut the symmetry here is rotational (4) x direction of fold (front or back = 2). It's the goat + cabbage in a canoe for two problem - this looks too much like a square symmetry math question I think 😂\n\nSo, although grok-4 made good progress it is still missing some things I can reason about well thanks to being better able to visualize folding a map (and OK fine I also am actually folding some paper to check myself too - there's more than just the first step symmetry to exploit)\n\nWhich leaves us back in the same tension: LLMs are amazing, they can do crazy stuff like 0-shot working cuda code for a tricky problem like this that hasn't been done before... but then they also have gaps that seem dumb to a human. Exciting times. Anyway let's see what grok 5 and friends do :)",
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