Title
Fine-grained floating-point precision analysis
Abstract
AbstractFloating-point computation is ubiquitous in high-performance scientific computing, but rounding error can compromise the results of extended calculations, especially at large scales. In this paper, we present new techniques that use binary instrumentation and modification to do fine-grained floating-point precision analysis, simulating any level of precision less than or equal to the precision of the original program. These techniques have an average of 40-70% lower overhead and provide more fine-grained insights into a program's sensitivity than previous mixed-precision analyses. We also present a novel histogram-based visualization of a program's floating-point precision sensitivity, as well as an incremental search technique that allows developers to incrementally trade off analysis time for detail, including the ability to restart analyses from where they left off. We present results from several case studies and experiments that show the efficacy of these techniques. Using our tool and its novel visualization, application developers can more quickly determine for specific data sets whether their application could be run using fewer double precision variables, saving both time and memory space.
Year
DOI
Venue
2018
10.1177/1094342016652462
Periodicals
Keywords
Field
DocType
floating-point, binary instrumentation, program analysis, precision, sensitivity
Computer science,Round-off error,Floating point,Parallel computing,Theoretical computer science,Program analysis,Extended precision,Computation
Journal
Volume
Issue
ISSN
32
2
1094-3420
Citations 
PageRank 
References 
8
0.52
12
Authors
2
Name
Order
Citations
PageRank
Michael O. Lam1505.15
Jeffrey K. Hollingsworth21881192.59