Average Error: 0.2 → 0.2
Time: 15.8s
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 r826279 = x;
        double r826280 = y;
        double r826281 = r826280 - r826279;
        double r826282 = 6.0;
        double r826283 = r826281 * r826282;
        double r826284 = z;
        double r826285 = r826283 * r826284;
        double r826286 = r826279 + r826285;
        return r826286;
}
↓
double f(double x, double y, double z) {
        double r826287 = x;
        double r826288 = y;
        double r826289 = r826288 - r826287;
        double r826290 = 6.0;
        double r826291 = z;
        double r826292 = r826290 * r826291;
        double r826293 = r826289 * r826292;
        double r826294 = r826287 + r826293;
        return r826294;
}

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 2020045 
(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)))