Average Error: 0.1 → 0.1
Time: 14.6s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[x + \left(z + \left(\left(x + y\right) + \left(x + y\right)\right)\right)\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
x + \left(z + \left(\left(x + y\right) + \left(x + y\right)\right)\right)
double f(double x, double y, double z) {
        double r12757924 = x;
        double r12757925 = y;
        double r12757926 = r12757924 + r12757925;
        double r12757927 = r12757926 + r12757925;
        double r12757928 = r12757927 + r12757924;
        double r12757929 = z;
        double r12757930 = r12757928 + r12757929;
        double r12757931 = r12757930 + r12757924;
        return r12757931;
}
↓
double f(double x, double y, double z) {
        double r12757932 = x;
        double r12757933 = z;
        double r12757934 = y;
        double r12757935 = r12757932 + r12757934;
        double r12757936 = r12757935 + r12757935;
        double r12757937 = r12757933 + r12757936;
        double r12757938 = r12757932 + r12757937;
        return r12757938;
}

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

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

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))