Average Error: 0.3 → 0.2
Time: 4.1s
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 r847236 = x;
        double r847237 = y;
        double r847238 = r847237 - r847236;
        double r847239 = 6.0;
        double r847240 = r847238 * r847239;
        double r847241 = z;
        double r847242 = r847240 * r847241;
        double r847243 = r847236 + r847242;
        return r847243;
}
↓
double f(double x, double y, double z) {
        double r847244 = x;
        double r847245 = y;
        double r847246 = r847245 - r847244;
        double r847247 = 6.0;
        double r847248 = z;
        double r847249 = r847247 * r847248;
        double r847250 = r847246 * r847249;
        double r847251 = r847244 + r847250;
        return r847251;
}

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

Original0.3
Target0.2
Herbie0.2
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
  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 2020002 
(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)))