Average Error: 0.1 → 0.1
Time: 13.6s
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 r9421816 = x;
        double r9421817 = y;
        double r9421818 = r9421816 + r9421817;
        double r9421819 = r9421818 + r9421817;
        double r9421820 = r9421819 + r9421816;
        double r9421821 = z;
        double r9421822 = r9421820 + r9421821;
        double r9421823 = r9421822 + r9421816;
        return r9421823;
}
↓
double f(double x, double y, double z) {
        double r9421824 = z;
        double r9421825 = x;
        double r9421826 = y;
        double r9421827 = r9421825 + r9421826;
        double r9421828 = r9421827 + r9421827;
        double r9421829 = r9421824 + r9421828;
        double r9421830 = r9421829 + r9421825;
        return r9421830;
}

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

    \[\leadsto \color{blue}{x + \left(\left(z + \left(y + x\right)\right) + \left(y + x\right)\right)}\]
  3. Using strategy rm

  4. Applied associate-+l+0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))