Average Error: 0.2 → 0.2
Time: 3.7s
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 r921594 = x;
        double r921595 = y;
        double r921596 = r921595 - r921594;
        double r921597 = 6.0;
        double r921598 = r921596 * r921597;
        double r921599 = z;
        double r921600 = r921598 * r921599;
        double r921601 = r921594 + r921600;
        return r921601;
}
↓
double f(double x, double y, double z) {
        double r921602 = x;
        double r921603 = y;
        double r921604 = r921603 - r921602;
        double r921605 = 6.0;
        double r921606 = z;
        double r921607 = r921605 * r921606;
        double r921608 = r921604 * r921607;
        double r921609 = r921602 + r921608;
        return r921609;
}

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 2020060 
(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)))