Average Error: 0.0 → 0.0
Time: 993.0ms
Precision: 64
\[x \cdot \left(y + 1\right)\]
↓
\[\left(y + 1\right) \cdot x\]
x \cdot \left(y + 1\right)
↓
\left(y + 1\right) \cdot x
double f(double x, double y) {
        double r41201526 = x;
        double r41201527 = y;
        double r41201528 = 1.0;
        double r41201529 = r41201527 + r41201528;
        double r41201530 = r41201526 * r41201529;
        return r41201530;
}
↓
double f(double x, double y) {
        double r41201531 = y;
        double r41201532 = 1.0;
        double r41201533 = r41201531 + r41201532;
        double r41201534 = x;
        double r41201535 = r41201533 * r41201534;
        return r41201535;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.0
Target0.0
Herbie0.0
\[x + x \cdot y\]

Derivation

  1. Initial program 0.0

    \[x \cdot \left(y + 1\right)\]

  2. Final simplification0.0

    \[\leadsto \left(y + 1\right) \cdot x\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B"

  :herbie-target
  (+ x (* x y))

  (* x (+ y 1.0)))