Average Error: 0.4 → 0.2
Time: 47.5s
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 r12066002 = x;
        double r12066003 = y;
        double r12066004 = r12066003 - r12066002;
        double r12066005 = 6.0;
        double r12066006 = r12066004 * r12066005;
        double r12066007 = 2.0;
        double r12066008 = 3.0;
        double r12066009 = r12066007 / r12066008;
        double r12066010 = z;
        double r12066011 = r12066009 - r12066010;
        double r12066012 = r12066006 * r12066011;
        double r12066013 = r12066002 + r12066012;
        return r12066013;
}
↓
double f(double x, double y, double z) {
        double r12066014 = x;
        double r12066015 = y;
        double r12066016 = r12066015 - r12066014;
        double r12066017 = 2.0;
        double r12066018 = 3.0;
        double r12066019 = r12066017 / r12066018;
        double r12066020 = z;
        double r12066021 = r12066019 - r12066020;
        double r12066022 = 6.0;
        double r12066023 = r12066021 * r12066022;
        double r12066024 = r12066016 * r12066023;
        double r12066025 = r12066014 + r12066024;
        return r12066025;
}

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 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))))