Average Error: 0.2 → 0.2
Time: 2.6s
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 r855400 = x;
        double r855401 = y;
        double r855402 = r855401 - r855400;
        double r855403 = 6.0;
        double r855404 = r855402 * r855403;
        double r855405 = z;
        double r855406 = r855404 * r855405;
        double r855407 = r855400 + r855406;
        return r855407;
}
↓
double f(double x, double y, double z) {
        double r855408 = x;
        double r855409 = y;
        double r855410 = r855409 - r855408;
        double r855411 = 6.0;
        double r855412 = z;
        double r855413 = r855411 * r855412;
        double r855414 = r855410 * r855413;
        double r855415 = r855408 + r855414;
        return r855415;
}

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)))