Average Error: 0.4 → 0.3
Time: 3.5s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)
double f(double x, double y, double z) {
        double r334888 = x;
        double r334889 = y;
        double r334890 = r334889 - r334888;
        double r334891 = 6.0;
        double r334892 = r334890 * r334891;
        double r334893 = 2.0;
        double r334894 = 3.0;
        double r334895 = r334893 / r334894;
        double r334896 = z;
        double r334897 = r334895 - r334896;
        double r334898 = r334892 * r334897;
        double r334899 = r334888 + r334898;
        return r334899;
}
↓
double f(double x, double y, double z) {
        double r334900 = x;
        double r334901 = y;
        double r334902 = r334901 - r334900;
        double r334903 = 6.0;
        double r334904 = 2.0;
        double r334905 = 3.0;
        double r334906 = r334904 / r334905;
        double r334907 = z;
        double r334908 = r334906 - r334907;
        double r334909 = r334903 * r334908;
        double r334910 = r334902 * r334909;
        double r334911 = r334900 + r334910;
        return r334911;
}

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*0.3

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

  4. Final simplification0.3

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

Reproduce

herbie shell --seed 2020065 
(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))))