Floating point expression compiler

Improper use of floating point numbers can cause avoidable rounding and cancellation errors. Most of these errors stem from the fact that floating point operations don't exactly match the mathematical operations they are supposed to model. For example, (x+y)(x-y) is always more accurate than x*x-y*y in floating point arithmetic.

I propose a compiler for mathematical expressions that can transform source mathematical expressions into equivalent forms that yeild better results when using limited precision arithmetic. We could build off of the rich history of automated algebraic manipulation.

• Title: Improved Approach to Automatic Error Cumulation Control *Authors: Molenkamp, J. H. J.; Goldman, V. V.; Vanhulzen, J. A.

An improved approach to automatic error cumulation control

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