Average Error: 0.4 → 0.2
Time: 7.5s
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 r218582 = x;
        double r218583 = y;
        double r218584 = r218583 - r218582;
        double r218585 = 6.0;
        double r218586 = r218584 * r218585;
        double r218587 = 2.0;
        double r218588 = 3.0;
        double r218589 = r218587 / r218588;
        double r218590 = z;
        double r218591 = r218589 - r218590;
        double r218592 = r218586 * r218591;
        double r218593 = r218582 + r218592;
        return r218593;
}
↓
double f(double x, double y, double z) {
        double r218594 = x;
        double r218595 = y;
        double r218596 = r218595 - r218594;
        double r218597 = 6.0;
        double r218598 = 2.0;
        double r218599 = 3.0;
        double r218600 = r218598 / r218599;
        double r218601 = z;
        double r218602 = r218600 - r218601;
        double r218603 = r218597 * r218602;
        double r218604 = r218596 * r218603;
        double r218605 = r218594 + r218604;
        return r218605;
}

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 2019308 
(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))))