Average Error: 0.1 → 0.1
Time: 3.3s
Precision: 64
\[x + \frac{\left|y - x\right|}{2}\]
↓
\[x + \frac{\left|y - x\right|}{2}\]
x + \frac{\left|y - x\right|}{2}
↓
x + \frac{\left|y - x\right|}{2}
double f(double x, double y) {
        double r135954 = x;
        double r135955 = y;
        double r135956 = r135955 - r135954;
        double r135957 = fabs(r135956);
        double r135958 = 2.0;
        double r135959 = r135957 / r135958;
        double r135960 = r135954 + r135959;
        return r135960;
}
↓
double f(double x, double y) {
        double r135961 = x;
        double r135962 = y;
        double r135963 = r135962 - r135961;
        double r135964 = fabs(r135963);
        double r135965 = 2.0;
        double r135966 = r135964 / r135965;
        double r135967 = r135961 + r135966;
        return r135967;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x + \frac{\left|y - x\right|}{2}\]

  2. Final simplification0.1

    \[\leadsto x + \frac{\left|y - x\right|}{2}\]

Reproduce

herbie shell --seed 2020036 +o rules:numerics
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3"
  :precision binary64
  (+ x (/ (fabs (- y x)) 2)))