Average Error: 0.0 → 0
Time: 15.7s
Precision: 64
\[\left(x + y\right) + x\]
↓
\[y + \left(x + x\right)\]
\left(x + y\right) + x
↓
y + \left(x + x\right)
double f(double x, double y) {
        double r29067639 = x;
        double r29067640 = y;
        double r29067641 = r29067639 + r29067640;
        double r29067642 = r29067641 + r29067639;
        return r29067642;
}
↓
double f(double x, double y) {
        double r29067643 = y;
        double r29067644 = x;
        double r29067645 = r29067644 + r29067644;
        double r29067646 = r29067643 + r29067645;
        return r29067646;
}

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. 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

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A"

  :herbie-target
  (+ y (* 2.0 x))

  (+ (+ x y) x))