Average Error: 0.2 → 0.2
Time: 14.3s
Precision: 64
\[\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)\]
\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)
double f(double x, double y) {
        double r44081692 = x;
        double r44081693 = 16.0;
        double r44081694 = 116.0;
        double r44081695 = r44081693 / r44081694;
        double r44081696 = r44081692 - r44081695;
        double r44081697 = 3.0;
        double r44081698 = r44081696 * r44081697;
        double r44081699 = y;
        double r44081700 = r44081698 * r44081699;
        return r44081700;
}
↓
double f(double x, double y) {
        double r44081701 = y;
        double r44081702 = x;
        double r44081703 = 16.0;
        double r44081704 = 116.0;
        double r44081705 = r44081703 / r44081704;
        double r44081706 = r44081702 - r44081705;
        double r44081707 = 3.0;
        double r44081708 = r44081706 * r44081707;
        double r44081709 = r44081701 * r44081708;
        return r44081709;
}

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
\[y \cdot \left(x \cdot 3.0 - 0.41379310344827586\right)\]

Derivation

  1. Initial program 0.2

    \[\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)\]

Reproduce

herbie shell --seed 2019168 +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))