Average Error: 0.0 → 0
Time: 5.8s
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 r26780093 = x;
        double r26780094 = y;
        double r26780095 = r26780093 + r26780094;
        double r26780096 = r26780095 + r26780093;
        return r26780096;
}
↓
double f(double x, double y) {
        double r26780097 = y;
        double r26780098 = 2.0;
        double r26780099 = x;
        double r26780100 = r26780098 * r26780099;
        double r26780101 = r26780097 + r26780100;
        return r26780101;
}

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-sqrt32.4

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

  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 2019164 
(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))