Average Error: 0.1 → 0.1
Time: 29.4s
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 r9127816 = x;
        double r9127817 = y;
        double r9127818 = r9127816 + r9127817;
        double r9127819 = r9127818 + r9127817;
        double r9127820 = r9127819 + r9127816;
        double r9127821 = z;
        double r9127822 = r9127820 + r9127821;
        double r9127823 = r9127822 + r9127816;
        return r9127823;
}
↓
double f(double x, double y, double z) {
        double r9127824 = z;
        double r9127825 = x;
        double r9127826 = y;
        double r9127827 = r9127825 + r9127826;
        double r9127828 = r9127827 + r9127827;
        double r9127829 = r9127824 + r9127828;
        double r9127830 = r9127829 + r9127825;
        return r9127830;
}

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 2019163 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))