Average Error: 0.1 → 0.1
Time: 19.1s
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 r7638438 = x;
        double r7638439 = y;
        double r7638440 = r7638438 + r7638439;
        double r7638441 = r7638440 + r7638439;
        double r7638442 = r7638441 + r7638438;
        double r7638443 = z;
        double r7638444 = r7638442 + r7638443;
        double r7638445 = r7638444 + r7638438;
        return r7638445;
}
↓
double f(double x, double y, double z) {
        double r7638446 = z;
        double r7638447 = x;
        double r7638448 = y;
        double r7638449 = r7638447 + r7638448;
        double r7638450 = r7638449 + r7638449;
        double r7638451 = r7638446 + r7638450;
        double r7638452 = r7638451 + r7638447;
        return r7638452;
}

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 2019158 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))