Average Error: 0.2 → 0.2
Time: 13.9s
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 r612731 = x;
        double r612732 = 16.0;
        double r612733 = 116.0;
        double r612734 = r612732 / r612733;
        double r612735 = r612731 - r612734;
        double r612736 = 3.0;
        double r612737 = r612735 * r612736;
        double r612738 = y;
        double r612739 = r612737 * r612738;
        return r612739;
}
↓
double f(double x, double y) {
        double r612740 = x;
        double r612741 = 16.0;
        double r612742 = 116.0;
        double r612743 = r612741 / r612742;
        double r612744 = r612740 - r612743;
        double r612745 = 3.0;
        double r612746 = r612744 * r612745;
        double r612747 = y;
        double r612748 = r612746 * r612747;
        return r612748;
}

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
\[y \cdot \left(x \cdot 3 - 0.413793103448275856\right)\]

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 2019198 +o rules:numerics
(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))