Average Error: 0.4 → 0.2
Time: 19.1s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot \left(\frac{2}{3} - z\right)\]
↓
\[x + \left(y - x\right) \cdot \left(\left(\frac{2}{3} - z\right) \cdot 6\right)\]
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 r14540957 = x;
        double r14540958 = y;
        double r14540959 = r14540958 - r14540957;
        double r14540960 = 6.0;
        double r14540961 = r14540959 * r14540960;
        double r14540962 = 2.0;
        double r14540963 = 3.0;
        double r14540964 = r14540962 / r14540963;
        double r14540965 = z;
        double r14540966 = r14540964 - r14540965;
        double r14540967 = r14540961 * r14540966;
        double r14540968 = r14540957 + r14540967;
        return r14540968;
}
↓
double f(double x, double y, double z) {
        double r14540969 = x;
        double r14540970 = y;
        double r14540971 = r14540970 - r14540969;
        double r14540972 = 2.0;
        double r14540973 = 3.0;
        double r14540974 = r14540972 / r14540973;
        double r14540975 = z;
        double r14540976 = r14540974 - r14540975;
        double r14540977 = 6.0;
        double r14540978 = r14540976 * r14540977;
        double r14540979 = r14540971 * r14540978;
        double r14540980 = r14540969 + r14540979;
        return r14540980;
}

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))))