Average Error: 0.4 → 0.2
Time: 28.3s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(\left(\frac{2}{3} - z\right) \cdot 6\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)
↓
x + \left(y - x\right) \cdot \left(\left(\frac{2}{3} - z\right) \cdot 6\right)
double f(double x, double y, double z) {
        double r266448 = x;
        double r266449 = y;
        double r266450 = r266449 - r266448;
        double r266451 = 6.0;
        double r266452 = r266450 * r266451;
        double r266453 = 2.0;
        double r266454 = 3.0;
        double r266455 = r266453 / r266454;
        double r266456 = z;
        double r266457 = r266455 - r266456;
        double r266458 = r266452 * r266457;
        double r266459 = r266448 + r266458;
        return r266459;
}
↓
double f(double x, double y, double z) {
        double r266460 = x;
        double r266461 = y;
        double r266462 = r266461 - r266460;
        double r266463 = 2.0;
        double r266464 = 3.0;
        double r266465 = r266463 / r266464;
        double r266466 = z;
        double r266467 = r266465 - r266466;
        double r266468 = 6.0;
        double r266469 = r266467 * r266468;
        double r266470 = r266462 * r266469;
        double r266471 = r266460 + r266470;
        return r266471;
}

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. Simplified0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019303 
(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))))