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Rigorous Estimation of Floating-Point Round-Off Errors with Symbolic Taylor Expansions

Alexey Solovyev, Marek S. Baranowski, Ian Briggs, Charles Jacobsen, Zvonimir Rakamaric, Ganesh Gopalakrishnan

Rigorous estimation of maximum floating-point round-off errors is an important capability central to many formal verification tools. Unfortunately, available techniques for this task often provide very pessimistic overestimates, causing unnecessary verification failure. We have d…