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How sensitive to rounding errors are the results generated from a particular code running on a particular machine applied to a particular input? Monte Carlo arithmetic illustrates the potential for tools to support new kinds of a posteriori round-off error analysis.
Brad Pierce, Paul R. Eggert, D. Stott Parker, "Monte Carlo Arithmetic: How to Gamble with Floating Point and Win", Computing in Science & Engineering, vol. 2, no. , pp. 58-68, July/August 2000, doi:10.1109/5992.852391
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