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docs/benchmarks/benchmarks/integrate.md

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icon: lucide/chart-no-axes-combined
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# Simpson Integrate
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# Simpson integration
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The Simpson integrate benchmark computes the definite integral of:
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\[
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f(x) = \sum_{i=0}^{p - 1}\frac{1}{z + (x - c_i)^2}
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\]
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It uses [adaptive Simpson's
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It uses the [adaptive Simpson's
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rule](https://en.wikipedia.org/wiki/Adaptive_Simpson%27s_method): estimate the
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area of an interval with Simpson's rule, split the interval in half, compare
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the combined child estimates with the parent estimate, and recurse until the

docs/benchmarks/benchmarks/quadrature-integrate.md

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# Quadrature Integrate
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# Quadrature integration
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The quadrature integrate benchmark is adapted from nowa's `integrate` benchmark.
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It computes:

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