Average Error: 0.1 → 0.1
Time: 2.9s
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 r142499 = x;
        double r142500 = y;
        double r142501 = r142500 - r142499;
        double r142502 = fabs(r142501);
        double r142503 = 2.0;
        double r142504 = r142502 / r142503;
        double r142505 = r142499 + r142504;
        return r142505;
}
↓
double f(double x, double y) {
        double r142506 = x;
        double r142507 = y;
        double r142508 = r142507 - r142506;
        double r142509 = fabs(r142508);
        double r142510 = 2.0;
        double r142511 = r142509 / r142510;
        double r142512 = r142506 + r142511;
        return r142512;
}

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)))