Average Error: 0.1 → 0.1
Time: 30.8s
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 r8305210 = x;
        double r8305211 = y;
        double r8305212 = r8305210 + r8305211;
        double r8305213 = r8305212 + r8305211;
        double r8305214 = r8305213 + r8305210;
        double r8305215 = z;
        double r8305216 = r8305214 + r8305215;
        double r8305217 = r8305216 + r8305210;
        return r8305217;
}
↓
double f(double x, double y, double z) {
        double r8305218 = z;
        double r8305219 = x;
        double r8305220 = y;
        double r8305221 = r8305219 + r8305220;
        double r8305222 = r8305221 + r8305221;
        double r8305223 = r8305218 + r8305222;
        double r8305224 = r8305223 + r8305219;
        return r8305224;
}

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))