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IEEE binary floating point is deterministic. There is no such thing as tolerated errors in compliant implementations.

Non-compliant implementations are widespread for performance reasons, but that is a completely different story.

Also I'm not sure about GPU, but FPU are typically compliant in HW, and it is typically the compilers that have faster approximate modes, and I think for mainstream ones only when you explicitly enable such optimizations, which are disabled by default.




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