Average Error: 0.0 → 0
Time: 17.3s
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 r26309877 = x;
        double r26309878 = y;
        double r26309879 = r26309877 + r26309878;
        double r26309880 = r26309879 + r26309877;
        return r26309880;
}
↓
double f(double x, double y) {
        double r26309881 = x;
        double r26309882 = r26309881 + r26309881;
        double r26309883 = y;
        double r26309884 = r26309882 + r26309883;
        return r26309884;
}

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. Using strategy rm

  3. Applied add-sqr-sqrt32.3

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

  4. Taylor expanded around 0 0

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

  5. Simplified0

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

  6. Final simplification0

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

Reproduce

herbie shell --seed 2019168 
(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))