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Creators/Authors contains: "Kulkarni, Bhargav"

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  1. ; (, IEEE ARITH)
    Melquiond, Guillaume; Tang, Ping_Tak_Peter (Ed.)
    Recent advances have made numeric debugging tools much faster by using double-double oracles, and numeric analysis tools much more accurate by using condition numbers. But these techniques have downsides: double-double oracles have correlated error so miss floating-point errors while condition numbers cannot cleanly handle over- and underflow. We combine both techniques to avoid these downsides. Our combination, EXPLANIFLOAT, computes condition numbers using double- double arithmetic, which avoids correlated errors. To handle over- and underflow, it introduces a separate logarithmic oracle. As a result, EXPLANIFLOAT achieves a precision of 80.0% and a recall of 96.1% on a collection of 546 difficult numeric benchmarks: more accurate than double-double oracles yet dramatically faster than arbitrary-precision condition number computations. 
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    Free, publicly-accessible full text available May 6, 2026