Average Error: 0.0 → 0
Time: 1.1s
Precision: binary64
\[\left(x + y\right) + x\]
↓
\[\left(x + x\right) + y\]
\left(x + y\right) + x
↓
\left(x + x\right) + y
double code(double x, double y) {
	return ((double) (((double) (x + y)) + x));
}
↓
double code(double x, double y) {
	return ((double) (((double) (x + x)) + y));
}

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-sqrt32.0

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

  4. Simplified32.0

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

  5. Simplified32.0

    \[\leadsto \sqrt{x + \left(x + y\right)} \cdot \color{blue}{\sqrt{x + \left(x + y\right)}}\]
  6. Using strategy rm

  7. Applied associate-+r+32.0

    \[\leadsto \sqrt{x + \left(x + y\right)} \cdot \sqrt{\color{blue}{\left(x + x\right) + y}}\]
  8. Using strategy rm

  9. Applied associate-+r+32.0

    \[\leadsto \sqrt{\color{blue}{\left(x + x\right) + y}} \cdot \sqrt{\left(x + x\right) + y}\]
  10. Using strategy rm

  11. Applied rem-square-sqrt0

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

  12. Final simplification0

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

Reproduce

herbie shell --seed 2020181 
(FPCore (x y)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A"
  :precision binary64

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

  (+ (+ x y) x))