Average Error: 0.4 → 0.2
Time: 26.8s
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 r15253735 = x;
        double r15253736 = y;
        double r15253737 = r15253736 - r15253735;
        double r15253738 = 6.0;
        double r15253739 = r15253737 * r15253738;
        double r15253740 = 2.0;
        double r15253741 = 3.0;
        double r15253742 = r15253740 / r15253741;
        double r15253743 = z;
        double r15253744 = r15253742 - r15253743;
        double r15253745 = r15253739 * r15253744;
        double r15253746 = r15253735 + r15253745;
        return r15253746;
}
↓
double f(double x, double y, double z) {
        double r15253747 = x;
        double r15253748 = y;
        double r15253749 = r15253748 - r15253747;
        double r15253750 = 2.0;
        double r15253751 = 3.0;
        double r15253752 = r15253750 / r15253751;
        double r15253753 = z;
        double r15253754 = r15253752 - r15253753;
        double r15253755 = 6.0;
        double r15253756 = r15253754 * r15253755;
        double r15253757 = r15253749 * r15253756;
        double r15253758 = r15253747 + r15253757;
        return r15253758;
}

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

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D"
  (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))