Average Error: 0.1 → 0.1
Time: 36.0s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[\left(z + \left(\left(x + y\right) + \left(x + y\right)\right)\right) + x\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
\left(z + \left(\left(x + y\right) + \left(x + y\right)\right)\right) + x
double f(double x, double y, double z) {
        double r9493369 = x;
        double r9493370 = y;
        double r9493371 = r9493369 + r9493370;
        double r9493372 = r9493371 + r9493370;
        double r9493373 = r9493372 + r9493369;
        double r9493374 = z;
        double r9493375 = r9493373 + r9493374;
        double r9493376 = r9493375 + r9493369;
        return r9493376;
}
↓
double f(double x, double y, double z) {
        double r9493377 = z;
        double r9493378 = x;
        double r9493379 = y;
        double r9493380 = r9493378 + r9493379;
        double r9493381 = r9493380 + r9493380;
        double r9493382 = r9493377 + r9493381;
        double r9493383 = r9493382 + r9493378;
        return r9493383;
}

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. Simplified0.1

    \[\leadsto \color{blue}{x + \left(z + \left(\left(y + x\right) + \left(y + x\right)\right)\right)}\]

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019172 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))