Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Pin: building customized program analysis tools with dynamic instrumentation
Proceedings of the 2005 ACM SIGPLAN conference on Programming language design and implementation
SIAM Journal on Scientific Computing
Computer Architecture, Fourth Edition: A Quantitative Approach
Computer Architecture, Fourth Edition: A Quantitative Approach
Accurate Floating-Point Summation Part I: Faithful Rounding
SIAM Journal on Scientific Computing
Ultimately Fast Accurate Summation
SIAM Journal on Scientific Computing
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We introduce and describe PerPI, a software tool analyzing the instruction level parallelism (ILP) of a program. ILP measures the best potential of a program to run in parallel on an ideal machine --- a machine with infinite resources. PerPI is a programmer-oriented tool the function of which is to improve the understanding of how the algorithm and the (micro-) architecture will interact. PerPI fills the gap between the manual analysis of an abstract algorithm and implementation-dependent profiling tools. The current version provides reproducible measures of the average number of instructions per cycle executed on an ideal machine, histograms of these instructions and associated data-flow graphs for any x86 binary file. We illustrate how these measures explain the actual performance of core numerical subroutines when measured run times cannot be correlated with the classical flop count analysis.