Average Error: 0.2 → 0.2
Time: 9.5s
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 r656847 = x;
        double r656848 = 16.0;
        double r656849 = 116.0;
        double r656850 = r656848 / r656849;
        double r656851 = r656847 - r656850;
        double r656852 = 3.0;
        double r656853 = r656851 * r656852;
        double r656854 = y;
        double r656855 = r656853 * r656854;
        return r656855;
}
↓
double f(double x, double y) {
        double r656856 = y;
        double r656857 = x;
        double r656858 = 16.0;
        double r656859 = 116.0;
        double r656860 = r656858 / r656859;
        double r656861 = r656857 - r656860;
        double r656862 = 3.0;
        double r656863 = r656861 * r656862;
        double r656864 = r656856 * r656863;
        return r656864;
}

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 2019194 
(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))