Average Error: 0.0 → 0
Time: 10.3s
Precision: 64
\[\left(x + y\right) + x\]
↓
\[y + 2 \cdot x\]
\left(x + y\right) + x
↓
y + 2 \cdot x
double f(double x, double y) {
        double r27737785 = x;
        double r27737786 = y;
        double r27737787 = r27737785 + r27737786;
        double r27737788 = r27737787 + r27737785;
        return r27737788;
}
↓
double f(double x, double y) {
        double r27737789 = y;
        double r27737790 = 2.0;
        double r27737791 = x;
        double r27737792 = r27737790 * r27737791;
        double r27737793 = r27737789 + r27737792;
        return r27737793;
}

Error

Bits error versus x

Bits error versus y

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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. Using strategy rm

  3. Applied add-sqr-sqrt31.9

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

  4. Taylor expanded around 0 0

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

  5. Final simplification0

    \[\leadsto y + 2 \cdot x\]

Reproduce

herbie shell --seed 2019163 
(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))