Average Error: 0.4 → 0.2
Time: 5.3s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot \left(\frac{2}{3} - z\right)\right)\]
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 r246031 = x;
        double r246032 = y;
        double r246033 = r246032 - r246031;
        double r246034 = 6.0;
        double r246035 = r246033 * r246034;
        double r246036 = 2.0;
        double r246037 = 3.0;
        double r246038 = r246036 / r246037;
        double r246039 = z;
        double r246040 = r246038 - r246039;
        double r246041 = r246035 * r246040;
        double r246042 = r246031 + r246041;
        return r246042;
}
↓
double f(double x, double y, double z) {
        double r246043 = x;
        double r246044 = y;
        double r246045 = r246044 - r246043;
        double r246046 = 6.0;
        double r246047 = 2.0;
        double r246048 = 3.0;
        double r246049 = r246047 / r246048;
        double r246050 = z;
        double r246051 = r246049 - r246050;
        double r246052 = r246046 * r246051;
        double r246053 = r246045 * r246052;
        double r246054 = r246043 + r246053;
        return r246054;
}

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 2020034 
(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))))