Average Error: 0.1 → 0.1
Time: 35.3s
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 r9804236 = x;
        double r9804237 = y;
        double r9804238 = r9804236 + r9804237;
        double r9804239 = r9804238 + r9804237;
        double r9804240 = r9804239 + r9804236;
        double r9804241 = z;
        double r9804242 = r9804240 + r9804241;
        double r9804243 = r9804242 + r9804236;
        return r9804243;
}
↓
double f(double x, double y, double z) {
        double r9804244 = z;
        double r9804245 = x;
        double r9804246 = y;
        double r9804247 = r9804245 + r9804246;
        double r9804248 = r9804247 + r9804247;
        double r9804249 = r9804244 + r9804248;
        double r9804250 = r9804249 + r9804245;
        return r9804250;
}

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 2019172 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))