Average Error: 0.4 → 0.2
Time: 19.3s
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 r11269203 = x;
        double r11269204 = y;
        double r11269205 = r11269204 - r11269203;
        double r11269206 = 6.0;
        double r11269207 = r11269205 * r11269206;
        double r11269208 = 2.0;
        double r11269209 = 3.0;
        double r11269210 = r11269208 / r11269209;
        double r11269211 = z;
        double r11269212 = r11269210 - r11269211;
        double r11269213 = r11269207 * r11269212;
        double r11269214 = r11269203 + r11269213;
        return r11269214;
}
↓
double f(double x, double y, double z) {
        double r11269215 = x;
        double r11269216 = y;
        double r11269217 = r11269216 - r11269215;
        double r11269218 = 2.0;
        double r11269219 = 3.0;
        double r11269220 = r11269218 / r11269219;
        double r11269221 = z;
        double r11269222 = r11269220 - r11269221;
        double r11269223 = 6.0;
        double r11269224 = r11269222 * r11269223;
        double r11269225 = r11269217 * r11269224;
        double r11269226 = r11269215 + r11269225;
        return r11269226;
}

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 2019172 
(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))))