Average Error: 0.2 → 0.2
Time: 18.3s
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 r42167868 = x;
        double r42167869 = 16.0;
        double r42167870 = 116.0;
        double r42167871 = r42167869 / r42167870;
        double r42167872 = r42167868 - r42167871;
        double r42167873 = 3.0;
        double r42167874 = r42167872 * r42167873;
        double r42167875 = y;
        double r42167876 = r42167874 * r42167875;
        return r42167876;
}
↓
double f(double x, double y) {
        double r42167877 = y;
        double r42167878 = x;
        double r42167879 = 16.0;
        double r42167880 = 116.0;
        double r42167881 = r42167879 / r42167880;
        double r42167882 = r42167878 - r42167881;
        double r42167883 = 3.0;
        double r42167884 = r42167882 * r42167883;
        double r42167885 = r42167877 * r42167884;
        return r42167885;
}

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 2019171 
(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))