Average Error: 0.4 → 0.2
Time: 18.6s
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 r234806 = x;
        double r234807 = y;
        double r234808 = r234807 - r234806;
        double r234809 = 6.0;
        double r234810 = r234808 * r234809;
        double r234811 = 2.0;
        double r234812 = 3.0;
        double r234813 = r234811 / r234812;
        double r234814 = z;
        double r234815 = r234813 - r234814;
        double r234816 = r234810 * r234815;
        double r234817 = r234806 + r234816;
        return r234817;
}
↓
double f(double x, double y, double z) {
        double r234818 = x;
        double r234819 = y;
        double r234820 = r234819 - r234818;
        double r234821 = 6.0;
        double r234822 = 2.0;
        double r234823 = 3.0;
        double r234824 = r234822 / r234823;
        double r234825 = z;
        double r234826 = r234824 - r234825;
        double r234827 = r234821 * r234826;
        double r234828 = r234820 * r234827;
        double r234829 = r234818 + r234828;
        return r234829;
}

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

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

Reproduce

herbie shell --seed 2019297 
(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))))