Automated techniques for analyzing floating-point code for roundoff error as well as control-
flow instability are of growing importance. It is important to compute rigorous estimates of …

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 …

Floating point representation has limited precision and inputs to floating point programs may
also have errors. Consequently, during execution, errors are introduced, propagated, and …

The accuracy of the floating-point calculation is critical to many applications and different
methods have been proposed around floating-point accuracies, such as detecting the errors …

This paper tackles the important, difficult problem of detecting program inputs that trigger
large floating-point errors in numerical code. It introduces a novel, principled dynamic …

Floating point is widely used in software to emulate arithmetic over reals. Unfortunately,
floating point leads to rounding errors that propagate and accumulate during execution …

Floating-point arithmetic is notorious for its rounding errors, which can propagate and
accumulate, leading to unacceptable results. Detecting inputs that can trigger significant …

This paper presents an abstract interpretation framework for the round-off error analysis of
floating-point programs. This framework defines a parametric abstract analysis that …

Programs using floating-point arithmetic are prone to accuracy problems caused by
rounding and catastrophic cancellation. These phenomena provoke bugs that are …

Tools that automatically prove the absence or detect the presence of large floating-point
roundoff errors or the special values NaN and Infinity greatly help developers to reason …