Average Error: 0.4 → 0.2
Time: 15.1s
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 r329413 = x;
        double r329414 = y;
        double r329415 = r329414 - r329413;
        double r329416 = 6.0;
        double r329417 = r329415 * r329416;
        double r329418 = 2.0;
        double r329419 = 3.0;
        double r329420 = r329418 / r329419;
        double r329421 = z;
        double r329422 = r329420 - r329421;
        double r329423 = r329417 * r329422;
        double r329424 = r329413 + r329423;
        return r329424;
}
↓
double f(double x, double y, double z) {
        double r329425 = x;
        double r329426 = y;
        double r329427 = r329426 - r329425;
        double r329428 = 6.0;
        double r329429 = 2.0;
        double r329430 = 3.0;
        double r329431 = r329429 / r329430;
        double r329432 = z;
        double r329433 = r329431 - r329432;
        double r329434 = r329428 * r329433;
        double r329435 = r329427 * r329434;
        double r329436 = r329425 + r329435;
        return r329436;
}

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

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

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))))