Average Error: 0.2 → 0.2
Time: 2.8s
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 r860711 = x;
        double r860712 = y;
        double r860713 = r860712 - r860711;
        double r860714 = 6.0;
        double r860715 = r860713 * r860714;
        double r860716 = z;
        double r860717 = r860715 * r860716;
        double r860718 = r860711 + r860717;
        return r860718;
}
↓
double f(double x, double y, double z) {
        double r860719 = x;
        double r860720 = y;
        double r860721 = r860720 - r860719;
        double r860722 = 6.0;
        double r860723 = z;
        double r860724 = r860722 * r860723;
        double r860725 = r860721 * r860724;
        double r860726 = r860719 + r860725;
        return r860726;
}

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. 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 2020062 
(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)))