Average Error: 0.4 → 0.4
Time: 7.6s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
double f(double x, double y, double z) {
        double r267880 = x;
        double r267881 = y;
        double r267882 = r267881 - r267880;
        double r267883 = 6.0;
        double r267884 = r267882 * r267883;
        double r267885 = 2.0;
        double r267886 = 3.0;
        double r267887 = r267885 / r267886;
        double r267888 = z;
        double r267889 = r267887 - r267888;
        double r267890 = r267884 * r267889;
        double r267891 = r267880 + r267890;
        return r267891;
}
↓
double f(double x, double y, double z) {
        double r267892 = x;
        double r267893 = y;
        double r267894 = r267893 - r267892;
        double r267895 = 6.0;
        double r267896 = r267894 * r267895;
        double r267897 = 2.0;
        double r267898 = 3.0;
        double r267899 = r267897 / r267898;
        double r267900 = z;
        double r267901 = r267899 - r267900;
        double r267902 = r267896 * r267901;
        double r267903 = r267892 + r267902;
        return r267903;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]

  2. Final simplification0.4

    \[\leadsto x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]

Reproduce

herbie shell --seed 2019353 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D"
  :precision binary64
  (+ x (* (* (- y x) 6) (- (/ 2 3) z))))