Average Error: 0.1 → 0.1
Time: 16.9s
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 r8389377 = x;
        double r8389378 = y;
        double r8389379 = r8389377 + r8389378;
        double r8389380 = r8389379 + r8389378;
        double r8389381 = r8389380 + r8389377;
        double r8389382 = z;
        double r8389383 = r8389381 + r8389382;
        double r8389384 = r8389383 + r8389377;
        return r8389384;
}
↓
double f(double x, double y, double z) {
        double r8389385 = z;
        double r8389386 = x;
        double r8389387 = y;
        double r8389388 = r8389386 + r8389387;
        double r8389389 = r8389388 + r8389388;
        double r8389390 = r8389385 + r8389389;
        double r8389391 = r8389390 + r8389386;
        return r8389391;
}

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 2019170 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))