Average Error: 0.1 → 0.1
Time: 20.3s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[x \cdot 3 + \left(y + \left(y + z\right)\right)\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
x \cdot 3 + \left(y + \left(y + z\right)\right)
double f(double x, double y, double z) {
        double r140535 = x;
        double r140536 = y;
        double r140537 = r140535 + r140536;
        double r140538 = r140537 + r140536;
        double r140539 = r140538 + r140535;
        double r140540 = z;
        double r140541 = r140539 + r140540;
        double r140542 = r140541 + r140535;
        return r140542;
}
↓
double f(double x, double y, double z) {
        double r140543 = x;
        double r140544 = 3.0;
        double r140545 = r140543 * r140544;
        double r140546 = y;
        double r140547 = z;
        double r140548 = r140546 + r140547;
        double r140549 = r140546 + r140548;
        double r140550 = r140545 + r140549;
        return r140550;
}

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

    \[\leadsto \color{blue}{x \cdot 3 + \left(y + \left(y + z\right)\right)}\]

  3. Final simplification0.1

    \[\leadsto x \cdot 3 + \left(y + \left(y + z\right)\right)\]

Reproduce

herbie shell --seed 2019196 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))