I’d love to see how this compares when either the problem space is different or the language/ecosystem is different.
It was a great read regardless!
Multiplying two 24 bit posits in 8-bit Avr for instance. No models have succeeded yet, but usually because they try and put more than 8 bits into a register. Algorithmically it seems like they are on the right track but they don't seem to be able to hold the idea that registers are only 8-bits through the entirety of their response.
Something along the lines of
Can you generate 8-bit AVR assembly code to multiply two 24 bit posit numbers
You get some pretty funny results from the models that have no idea what a posit is. It's usually pretty clear to tell if they know what they are supposed to be doing. I haven't had a success yet (haven't tried for a while though). Some of them have come pretty close, but usually it's the trying to squeeze more than 8 bits of data into a register is what brings them down.
One thing you learn quickly about working with LLMs if they have these kind of baked-in biases, some of which are very fixed and tied to their very limited ability to engage in novel reasoning (cc François Chollet), while others are far more loosely held/correctable. If it sticks with the errant patten, even when provided the proper context, it probably isn’t something an off-the-shelf model can handle.