Average Error: 0.2 → 0.2
Time: 17.6s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)
double f(double x, double y) {
        double r42301715 = x;
        double r42301716 = 16.0;
        double r42301717 = 116.0;
        double r42301718 = r42301716 / r42301717;
        double r42301719 = r42301715 - r42301718;
        double r42301720 = 3.0;
        double r42301721 = r42301719 * r42301720;
        double r42301722 = y;
        double r42301723 = r42301721 * r42301722;
        return r42301723;
}
↓
double f(double x, double y) {
        double r42301724 = y;
        double r42301725 = x;
        double r42301726 = 16.0;
        double r42301727 = 116.0;
        double r42301728 = r42301726 / r42301727;
        double r42301729 = r42301725 - r42301728;
        double r42301730 = 3.0;
        double r42301731 = r42301729 * r42301730;
        double r42301732 = r42301724 * r42301731;
        return r42301732;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.2
\[y \cdot \left(x \cdot 3 - 0.4137931034482758563264326312491903081536\right)\]

Derivation

  1. Initial program 0.2

    \[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"

  :herbie-target
  (* y (- (* x 3.0) 0.41379310344827586))

  (* (* (- x (/ 16.0 116.0)) 3.0) y))