Average Error: 0.4 → 0.2
Time: 6.1s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)
double f(double x, double y, double z) {
        double r284273 = x;
        double r284274 = y;
        double r284275 = r284274 - r284273;
        double r284276 = 6.0;
        double r284277 = r284275 * r284276;
        double r284278 = 2.0;
        double r284279 = 3.0;
        double r284280 = r284278 / r284279;
        double r284281 = z;
        double r284282 = r284280 - r284281;
        double r284283 = r284277 * r284282;
        double r284284 = r284273 + r284283;
        return r284284;
}
↓
double f(double x, double y, double z) {
        double r284285 = x;
        double r284286 = y;
        double r284287 = r284286 - r284285;
        double r284288 = 6.0;
        double r284289 = 2.0;
        double r284290 = 3.0;
        double r284291 = r284289 / r284290;
        double r284292 = z;
        double r284293 = r284291 - r284292;
        double r284294 = r284288 * r284293;
        double r284295 = r284287 * r284294;
        double r284296 = r284285 + r284295;
        return r284296;
}

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

Derivation

  1. Initial program 0.4

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto x + \color{blue}{\left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)}\]

  4. Final simplification0.2

    \[\leadsto x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)\]

Reproduce

herbie shell --seed 2020049 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D"
  :precision binary64
  (+ x (* (* (- y x) 6) (- (/ 2 3) z))))