Average Error: 0.2 → 0.2
Time: 16.0s
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 r25004858 = x;
        double r25004859 = 16.0;
        double r25004860 = 116.0;
        double r25004861 = r25004859 / r25004860;
        double r25004862 = r25004858 - r25004861;
        double r25004863 = 3.0;
        double r25004864 = r25004862 * r25004863;
        double r25004865 = y;
        double r25004866 = r25004864 * r25004865;
        return r25004866;
}
↓
double f(double x, double y) {
        double r25004867 = y;
        double r25004868 = x;
        double r25004869 = 16.0;
        double r25004870 = 116.0;
        double r25004871 = r25004869 / r25004870;
        double r25004872 = r25004868 - r25004871;
        double r25004873 = 3.0;
        double r25004874 = r25004872 * r25004873;
        double r25004875 = r25004867 * r25004874;
        return r25004875;
}

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 2019169 +o rules:numerics
(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))