Average Error: 0.2 → 0.2
Time: 8.8s
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 r727811 = x;
        double r727812 = 16.0;
        double r727813 = 116.0;
        double r727814 = r727812 / r727813;
        double r727815 = r727811 - r727814;
        double r727816 = 3.0;
        double r727817 = r727815 * r727816;
        double r727818 = y;
        double r727819 = r727817 * r727818;
        return r727819;
}
↓
double f(double x, double y) {
        double r727820 = y;
        double r727821 = x;
        double r727822 = 16.0;
        double r727823 = 116.0;
        double r727824 = r727822 / r727823;
        double r727825 = r727821 - r727824;
        double r727826 = 3.0;
        double r727827 = r727825 * r727826;
        double r727828 = r727820 * r727827;
        return r727828;
}

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 2019196 
(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))