# Paper on the accuracy of math functions

**URL:** <https://discourse.julialang.org/t/paper-on-the-accuracy-of-math-functions/132227>\
**Category:** Numerics\
**Tags:** juliamath, accuracy\
**Created:** [September 9, 2025, 11:02am UTC](https://discourse.julialang.org/t/paper-on-the-accuracy-of-math-functions/132227 "2025-09-09T11:02:11Z")\
**Posts on this page:** 1\
**Showing post:** 2

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**Author:** ![nsajko](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/nsajko/32/221187_2.png) [@nsajko](https://discourse.julialang.org/u/nsajko)\
**Post date:** [February 1, 2026, 9:04pm UTC](https://discourse.julialang.org/t/paper-on-the-accuracy-of-math-functions/132227/2 "2026-02-01T21:04:20Z")

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Related: visualizations for functions discussed in the paper and more:

> [@Floating-point accuracy visualization example: the ULP error for each math function coming with Julia](https://discourse.julialang.org/t/new-on-forem-floating-point-accuracy-visualization-example-the-ulp-error-for-each-math-function-coming-with-julia/135392):
>
> Introduction The implementation of a math function, such as cos(::Float64) in Julia, should be fast, but also needs to be at least somewhat accurate. Here I propose a method for visualizing empirical accuracy data. Consider the discrepancy between the exact value of a univariate real function, such as the sine, and the approximate value that is returned by a call such as sin(0.3). By putting an interval that subsets the domain of the function on the x-axis of a plot, and the value of this discr…

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