Average Error: 0.3 → 0.3
Time: 2.9s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
double f(double x, double y, double z) {
        double r991890 = x;
        double r991891 = y;
        double r991892 = r991891 - r991890;
        double r991893 = 6.0;
        double r991894 = r991892 * r991893;
        double r991895 = z;
        double r991896 = r991894 * r991895;
        double r991897 = r991890 + r991896;
        return r991897;
}
↓
double f(double x, double y, double z) {
        double r991898 = x;
        double r991899 = y;
        double r991900 = r991899 - r991898;
        double r991901 = 6.0;
        double r991902 = r991900 * r991901;
        double r991903 = z;
        double r991904 = r991902 * r991903;
        double r991905 = r991898 + r991904;
        return r991905;
}

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

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2019362 
(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)))