Average Error: 0.0 → 0
Time: 1.7s
Precision: 64
\[\left(x + y\right) + x\]
↓
\[\left(x + x\right) + y\]
\left(x + y\right) + x
↓
\left(x + x\right) + y
double f(double x, double y) {
        double r22907693 = x;
        double r22907694 = y;
        double r22907695 = r22907693 + r22907694;
        double r22907696 = r22907695 + r22907693;
        return r22907696;
}
↓
double f(double x, double y) {
        double r22907697 = x;
        double r22907698 = r22907697 + r22907697;
        double r22907699 = y;
        double r22907700 = r22907698 + r22907699;
        return r22907700;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0
Herbie0
\[y + 2 \cdot x\]

Derivation

  1. Initial program 0.0

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

  2. Taylor expanded around 0 0

    \[\leadsto \color{blue}{2 \cdot x + y}\]

  3. Simplified0

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

  4. Final simplification0

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

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A"

  :herbie-target
  (+ y (* 2 x))

  (+ (+ x y) x))