Average Error: 0.3 → 0.3
Time: 4.3s
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 r957876 = x;
        double r957877 = y;
        double r957878 = r957877 - r957876;
        double r957879 = 6.0;
        double r957880 = r957878 * r957879;
        double r957881 = z;
        double r957882 = r957880 * r957881;
        double r957883 = r957876 + r957882;
        return r957883;
}
↓
double f(double x, double y, double z) {
        double r957884 = x;
        double r957885 = y;
        double r957886 = r957885 - r957884;
        double r957887 = 6.0;
        double r957888 = r957886 * r957887;
        double r957889 = z;
        double r957890 = r957888 * r957889;
        double r957891 = r957884 + r957890;
        return r957891;
}

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 2020018 +o rules:numerics
(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)))