Average Error: 0.1 → 0.1
Time: 14.7s
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 r142589 = x;
        double r142590 = y;
        double r142591 = r142589 + r142590;
        double r142592 = r142591 + r142590;
        double r142593 = r142592 + r142589;
        double r142594 = z;
        double r142595 = r142593 + r142594;
        double r142596 = r142595 + r142589;
        return r142596;
}
↓
double f(double x, double y, double z) {
        double r142597 = x;
        double r142598 = 3.0;
        double r142599 = r142597 * r142598;
        double r142600 = y;
        double r142601 = z;
        double r142602 = r142600 + r142601;
        double r142603 = r142600 + r142602;
        double r142604 = r142599 + r142603;
        return r142604;
}

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 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))