Average Error: 0.4 → 0.2
Time: 14.3s
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 r346193 = x;
        double r346194 = y;
        double r346195 = r346194 - r346193;
        double r346196 = 6.0;
        double r346197 = r346195 * r346196;
        double r346198 = 2.0;
        double r346199 = 3.0;
        double r346200 = r346198 / r346199;
        double r346201 = z;
        double r346202 = r346200 - r346201;
        double r346203 = r346197 * r346202;
        double r346204 = r346193 + r346203;
        return r346204;
}
↓
double f(double x, double y, double z) {
        double r346205 = x;
        double r346206 = y;
        double r346207 = r346206 - r346205;
        double r346208 = 2.0;
        double r346209 = 3.0;
        double r346210 = r346208 / r346209;
        double r346211 = z;
        double r346212 = r346210 - r346211;
        double r346213 = 6.0;
        double r346214 = r346212 * r346213;
        double r346215 = r346207 * r346214;
        double r346216 = r346205 + r346215;
        return r346216;
}

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. Simplified0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2020047 
(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))))