Average Error: 0.1 → 0.1
Time: 55.1s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[x + \left(\left(\left(y + x\right) + \left(y + x\right)\right) + z\right)\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
x + \left(\left(\left(y + x\right) + \left(y + x\right)\right) + z\right)
double f(double x, double y, double z) {
        double r7801634 = x;
        double r7801635 = y;
        double r7801636 = r7801634 + r7801635;
        double r7801637 = r7801636 + r7801635;
        double r7801638 = r7801637 + r7801634;
        double r7801639 = z;
        double r7801640 = r7801638 + r7801639;
        double r7801641 = r7801640 + r7801634;
        return r7801641;
}
↓
double f(double x, double y, double z) {
        double r7801642 = x;
        double r7801643 = y;
        double r7801644 = r7801643 + r7801642;
        double r7801645 = r7801644 + r7801644;
        double r7801646 = z;
        double r7801647 = r7801645 + r7801646;
        double r7801648 = r7801642 + r7801647;
        return r7801648;
}

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

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

  4. Applied associate-+r+0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))