Average Error: 0.4 → 0.3
Time: 9.0s
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 r296821 = x;
        double r296822 = y;
        double r296823 = r296822 - r296821;
        double r296824 = 6.0;
        double r296825 = r296823 * r296824;
        double r296826 = 2.0;
        double r296827 = 3.0;
        double r296828 = r296826 / r296827;
        double r296829 = z;
        double r296830 = r296828 - r296829;
        double r296831 = r296825 * r296830;
        double r296832 = r296821 + r296831;
        return r296832;
}
↓
double f(double x, double y, double z) {
        double r296833 = x;
        double r296834 = y;
        double r296835 = r296834 - r296833;
        double r296836 = 6.0;
        double r296837 = 2.0;
        double r296838 = 3.0;
        double r296839 = r296837 / r296838;
        double r296840 = z;
        double r296841 = r296839 - r296840;
        double r296842 = r296836 * r296841;
        double r296843 = r296835 * r296842;
        double r296844 = r296833 + r296843;
        return r296844;
}

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*0.3

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

  4. Final simplification0.3

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

Reproduce

herbie shell --seed 2020046 
(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))))