Average Error: 0.2 → 0.2
Time: 13.6s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
double f(double x, double y) {
        double r514852 = x;
        double r514853 = 16.0;
        double r514854 = 116.0;
        double r514855 = r514853 / r514854;
        double r514856 = r514852 - r514855;
        double r514857 = 3.0;
        double r514858 = r514856 * r514857;
        double r514859 = y;
        double r514860 = r514858 * r514859;
        return r514860;
}
↓
double f(double x, double y) {
        double r514861 = x;
        double r514862 = 16.0;
        double r514863 = 116.0;
        double r514864 = r514862 / r514863;
        double r514865 = r514861 - r514864;
        double r514866 = 3.0;
        double r514867 = r514865 * r514866;
        double r514868 = y;
        double r514869 = r514867 * r514868;
        return r514869;
}

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

    \[\leadsto \left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]

Reproduce

herbie shell --seed 2019326 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.41379310344827586))

  (* (* (- x (/ 16 116)) 3) y))