Average Error: 0.4 → 0.2
Time: 19.9s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6.0\right) \cdot \left(\frac{2.0}{3.0} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(\left(\frac{2.0}{3.0} - z\right) \cdot 6.0\right)\]
x + \left(\left(y - x\right) \cdot 6.0\right) \cdot \left(\frac{2.0}{3.0} - z\right)
↓
x + \left(y - x\right) \cdot \left(\left(\frac{2.0}{3.0} - z\right) \cdot 6.0\right)
double f(double x, double y, double z) {
        double r15198378 = x;
        double r15198379 = y;
        double r15198380 = r15198379 - r15198378;
        double r15198381 = 6.0;
        double r15198382 = r15198380 * r15198381;
        double r15198383 = 2.0;
        double r15198384 = 3.0;
        double r15198385 = r15198383 / r15198384;
        double r15198386 = z;
        double r15198387 = r15198385 - r15198386;
        double r15198388 = r15198382 * r15198387;
        double r15198389 = r15198378 + r15198388;
        return r15198389;
}
↓
double f(double x, double y, double z) {
        double r15198390 = x;
        double r15198391 = y;
        double r15198392 = r15198391 - r15198390;
        double r15198393 = 2.0;
        double r15198394 = 3.0;
        double r15198395 = r15198393 / r15198394;
        double r15198396 = z;
        double r15198397 = r15198395 - r15198396;
        double r15198398 = 6.0;
        double r15198399 = r15198397 * r15198398;
        double r15198400 = r15198392 * r15198399;
        double r15198401 = r15198390 + r15198400;
        return r15198401;
}

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

    \[x + \left(\left(y - x\right) \cdot 6.0\right) \cdot \left(\frac{2.0}{3.0} - z\right)\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto x + \color{blue}{\left(y - x\right) \cdot \left(6.0 \cdot \left(\frac{2.0}{3.0} - z\right)\right)}\]

  4. Final simplification0.2

    \[\leadsto x + \left(y - x\right) \cdot \left(\left(\frac{2.0}{3.0} - z\right) \cdot 6.0\right)\]

Reproduce

herbie shell --seed 2019168 
(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))))