Average Error: 0.4 → 0.2
Time: 16.3s
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 r14525233 = x;
        double r14525234 = y;
        double r14525235 = r14525234 - r14525233;
        double r14525236 = 6.0;
        double r14525237 = r14525235 * r14525236;
        double r14525238 = 2.0;
        double r14525239 = 3.0;
        double r14525240 = r14525238 / r14525239;
        double r14525241 = z;
        double r14525242 = r14525240 - r14525241;
        double r14525243 = r14525237 * r14525242;
        double r14525244 = r14525233 + r14525243;
        return r14525244;
}
↓
double f(double x, double y, double z) {
        double r14525245 = x;
        double r14525246 = y;
        double r14525247 = r14525246 - r14525245;
        double r14525248 = 2.0;
        double r14525249 = 3.0;
        double r14525250 = r14525248 / r14525249;
        double r14525251 = z;
        double r14525252 = r14525250 - r14525251;
        double r14525253 = 6.0;
        double r14525254 = r14525252 * r14525253;
        double r14525255 = r14525247 * r14525254;
        double r14525256 = r14525245 + r14525255;
        return r14525256;
}

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 2019169 
(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))))