Average Error: 0.4 → 0.2
Time: 5.6s
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 r271320 = x;
        double r271321 = y;
        double r271322 = r271321 - r271320;
        double r271323 = 6.0;
        double r271324 = r271322 * r271323;
        double r271325 = 2.0;
        double r271326 = 3.0;
        double r271327 = r271325 / r271326;
        double r271328 = z;
        double r271329 = r271327 - r271328;
        double r271330 = r271324 * r271329;
        double r271331 = r271320 + r271330;
        return r271331;
}
↓
double f(double x, double y, double z) {
        double r271332 = x;
        double r271333 = y;
        double r271334 = r271333 - r271332;
        double r271335 = 6.0;
        double r271336 = 2.0;
        double r271337 = 3.0;
        double r271338 = r271336 / r271337;
        double r271339 = z;
        double r271340 = r271338 - r271339;
        double r271341 = r271335 * r271340;
        double r271342 = r271334 * r271341;
        double r271343 = r271332 + r271342;
        return r271343;
}

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 2020001 
(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))))