But it's still surprising that that LLM doesn't work on iPhone 16 at all. After all LLMs are known for their tolerance to quantization.
But, what got me about this is that:
* every other Apple device delivered the same results
* Apple's own LLM silently failed on this device
to me that behavior suggests an unexpected failure rather than a fundamental issue; it seems Bad (TM) that Apple would ship devices where their own LLM didn't work.
There's a C++26 paper about compile time math optimizations with a good overview and discussion about some of these issues [P1383]. The paper explicitly states:
1. It is acceptable for evaluation of mathematical functions to differ between translation time and runtime.
2. It is acceptable for constant evaluation of mathematical functions to differ between platforms.
So C++ has very much accepted the fact that floating point functions should not be presumed to give identical results in all circumstances.
Now, it is of course possible to ensure that floating point-related functions give identical results on all your target machines, but it's usually not worth the hassle.
[P1383]: https://www.open-std.org/jtc1/sc22/wg21/docs/papers/2023/p13...