Average Error: 0.4 → 0.2
Time: 18.9s
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 r200763 = x;
        double r200764 = y;
        double r200765 = r200764 - r200763;
        double r200766 = 6.0;
        double r200767 = r200765 * r200766;
        double r200768 = 2.0;
        double r200769 = 3.0;
        double r200770 = r200768 / r200769;
        double r200771 = z;
        double r200772 = r200770 - r200771;
        double r200773 = r200767 * r200772;
        double r200774 = r200763 + r200773;
        return r200774;
}
↓
double f(double x, double y, double z) {
        double r200775 = x;
        double r200776 = y;
        double r200777 = r200776 - r200775;
        double r200778 = 2.0;
        double r200779 = 3.0;
        double r200780 = r200778 / r200779;
        double r200781 = z;
        double r200782 = r200780 - r200781;
        double r200783 = 6.0;
        double r200784 = r200782 * r200783;
        double r200785 = r200777 * r200784;
        double r200786 = r200775 + r200785;
        return r200786;
}

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 2019196 +o rules:numerics
(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))))