Average Error: 0.3 → 0.2
Time: 14.2s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot z\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(6 \cdot z\right)
double f(double x, double y, double z) {
        double r661875 = x;
        double r661876 = y;
        double r661877 = r661876 - r661875;
        double r661878 = 6.0;
        double r661879 = r661877 * r661878;
        double r661880 = z;
        double r661881 = r661879 * r661880;
        double r661882 = r661875 + r661881;
        return r661882;
}
↓
double f(double x, double y, double z) {
        double r661883 = x;
        double r661884 = y;
        double r661885 = r661884 - r661883;
        double r661886 = 6.0;
        double r661887 = z;
        double r661888 = r661886 * r661887;
        double r661889 = r661885 * r661888;
        double r661890 = r661883 + r661889;
        return r661890;
}

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

Target

Original0.3
Target0.2
Herbie0.2
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

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

  4. Final simplification0.2

    \[\leadsto x + \left(y - x\right) \cdot \left(6 \cdot z\right)\]

Reproduce

herbie shell --seed 2019294 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"
  :precision binary64

  :herbie-target
  (- x (* (* 6 z) (- x y)))

  (+ x (* (* (- y x) 6) z)))