Average Error: 0.1 → 0.1
Time: 4.9s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
double f(double x, double y, double z) {
        double r130331 = x;
        double r130332 = y;
        double r130333 = r130331 + r130332;
        double r130334 = r130333 + r130332;
        double r130335 = r130334 + r130331;
        double r130336 = z;
        double r130337 = r130335 + r130336;
        double r130338 = r130337 + r130331;
        return r130338;
}
↓
double f(double x, double y, double z) {
        double r130339 = x;
        double r130340 = y;
        double r130341 = r130339 + r130340;
        double r130342 = r130341 + r130340;
        double r130343 = r130342 + r130339;
        double r130344 = z;
        double r130345 = r130343 + r130344;
        double r130346 = r130345 + r130339;
        return r130346;
}

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 0.1

    \[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]

  2. Final simplification0.1

    \[\leadsto \left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]

Reproduce

herbie shell --seed 2020060 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  :precision binary64
  (+ (+ (+ (+ (+ x y) y) x) z) x))