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cs.MS2024
Fast Mixed-Precision Real Evaluation
Artem Yadrov, Pavel Panchekha
Evaluating real-valued expressions to high precision is a key building block in computational mathematics, physics, and numerics. A typical implementation evaluates the whole expre…
cs.MS2021
Faster Math Functions, Soundly
Ian Briggs, Pavel Panchekha
Standard library implementations of functions like sin and exp optimize for accuracy, not speed, because they are intended for general-purpose use. But applications tolerate inaccu…