Average Error: 0.2 → 0.2
Time: 3.8s
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 r785677 = x;
        double r785678 = y;
        double r785679 = r785678 - r785677;
        double r785680 = 6.0;
        double r785681 = r785679 * r785680;
        double r785682 = z;
        double r785683 = r785681 * r785682;
        double r785684 = r785677 + r785683;
        return r785684;
}
↓
double f(double x, double y, double z) {
        double r785685 = x;
        double r785686 = y;
        double r785687 = r785686 - r785685;
        double r785688 = 6.0;
        double r785689 = z;
        double r785690 = r785688 * r785689;
        double r785691 = r785687 * r785690;
        double r785692 = r785685 + r785691;
        return r785692;
}

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 2020034 
(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)))