Average Error: 0.2 → 0.2
Time: 47.2s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(z \cdot 6\right) \cdot \left(y - x\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(z \cdot 6\right) \cdot \left(y - x\right)
double f(double x, double y, double z) {
        double r35771226 = x;
        double r35771227 = y;
        double r35771228 = r35771227 - r35771226;
        double r35771229 = 6.0;
        double r35771230 = r35771228 * r35771229;
        double r35771231 = z;
        double r35771232 = r35771230 * r35771231;
        double r35771233 = r35771226 + r35771232;
        return r35771233;
}
↓
double f(double x, double y, double z) {
        double r35771234 = x;
        double r35771235 = z;
        double r35771236 = 6.0;
        double r35771237 = r35771235 * r35771236;
        double r35771238 = y;
        double r35771239 = r35771238 - r35771234;
        double r35771240 = r35771237 * r35771239;
        double r35771241 = r35771234 + r35771240;
        return r35771241;
}

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

    \[\leadsto x + \left(z \cdot 6\right) \cdot \left(y - x\right)\]

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"

  :herbie-target
  (- x (* (* 6.0 z) (- x y)))

  (+ x (* (* (- y x) 6.0) z)))