Average Error: 0.2 → 0.2
Time: 13.5s
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 r41854892 = x;
        double r41854893 = 16.0;
        double r41854894 = 116.0;
        double r41854895 = r41854893 / r41854894;
        double r41854896 = r41854892 - r41854895;
        double r41854897 = 3.0;
        double r41854898 = r41854896 * r41854897;
        double r41854899 = y;
        double r41854900 = r41854898 * r41854899;
        return r41854900;
}
↓
double f(double x, double y) {
        double r41854901 = y;
        double r41854902 = x;
        double r41854903 = 16.0;
        double r41854904 = 116.0;
        double r41854905 = r41854903 / r41854904;
        double r41854906 = r41854902 - r41854905;
        double r41854907 = 3.0;
        double r41854908 = r41854906 * r41854907;
        double r41854909 = r41854901 * r41854908;
        return r41854909;
}

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 2019192 
(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))