Average Error: 0.4 → 0.2
Time: 14.9s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(\left(\frac{2}{3} - z\right) \cdot 6\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(y - x\right) \cdot \left(\left(\frac{2}{3} - z\right) \cdot 6\right)
double f(double x, double y, double z) {
        double r187923 = x;
        double r187924 = y;
        double r187925 = r187924 - r187923;
        double r187926 = 6.0;
        double r187927 = r187925 * r187926;
        double r187928 = 2.0;
        double r187929 = 3.0;
        double r187930 = r187928 / r187929;
        double r187931 = z;
        double r187932 = r187930 - r187931;
        double r187933 = r187927 * r187932;
        double r187934 = r187923 + r187933;
        return r187934;
}
↓
double f(double x, double y, double z) {
        double r187935 = x;
        double r187936 = y;
        double r187937 = r187936 - r187935;
        double r187938 = 2.0;
        double r187939 = 3.0;
        double r187940 = r187938 / r187939;
        double r187941 = z;
        double r187942 = r187940 - r187941;
        double r187943 = 6.0;
        double r187944 = r187942 * r187943;
        double r187945 = r187937 * r187944;
        double r187946 = r187935 + r187945;
        return r187946;
}

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. Using strategy rm

  3. Applied associate-*l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D"
  (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))