Average Error: 0.4 → 0.2
Time: 23.3s
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 r203323 = x;
        double r203324 = y;
        double r203325 = r203324 - r203323;
        double r203326 = 6.0;
        double r203327 = r203325 * r203326;
        double r203328 = 2.0;
        double r203329 = 3.0;
        double r203330 = r203328 / r203329;
        double r203331 = z;
        double r203332 = r203330 - r203331;
        double r203333 = r203327 * r203332;
        double r203334 = r203323 + r203333;
        return r203334;
}
↓
double f(double x, double y, double z) {
        double r203335 = x;
        double r203336 = y;
        double r203337 = r203336 - r203335;
        double r203338 = 2.0;
        double r203339 = 3.0;
        double r203340 = r203338 / r203339;
        double r203341 = z;
        double r203342 = r203340 - r203341;
        double r203343 = 6.0;
        double r203344 = r203342 * r203343;
        double r203345 = r203337 * r203344;
        double r203346 = r203335 + r203345;
        return r203346;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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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 2019325 
(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))))