A scalable probabilistic round-off analysis applies concentration inequalities to over-approximated Taylor expansions from FPTaylor, yielding orders-of-magnitude speedups with comparable precision.
2023.A Mechanized Error Analysis Framework for End-to-End Verification of Numerical Programs
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Probabilistic Floating-Point Round-Off Analysis via Concentration Inequalities
A scalable probabilistic round-off analysis applies concentration inequalities to over-approximated Taylor expansions from FPTaylor, yielding orders-of-magnitude speedups with comparable precision.