Average Error: 0.2 → 0.2
Time: 37.2s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + z \cdot \left(\left(y - x\right) \cdot 6\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + z \cdot \left(\left(y - x\right) \cdot 6\right)
double f(double x, double y, double z) {
        double r42264849 = x;
        double r42264850 = y;
        double r42264851 = r42264850 - r42264849;
        double r42264852 = 6.0;
        double r42264853 = r42264851 * r42264852;
        double r42264854 = z;
        double r42264855 = r42264853 * r42264854;
        double r42264856 = r42264849 + r42264855;
        return r42264856;
}
↓
double f(double x, double y, double z) {
        double r42264857 = x;
        double r42264858 = z;
        double r42264859 = y;
        double r42264860 = r42264859 - r42264857;
        double r42264861 = 6.0;
        double r42264862 = r42264860 * r42264861;
        double r42264863 = r42264858 * r42264862;
        double r42264864 = r42264857 + r42264863;
        return r42264864;
}

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

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

Derivation

  1. Initial program 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"

  :herbie-target
  (- x (* (* 6.0 z) (- x y)))

  (+ x (* (* (- y x) 6.0) z)))