Average Error: 0.0 → 0.0
Time: 3.2s
Precision: binary64
Cost: 320
\[\left(x + y\right) + x\]
↓
\[x + \left(x + y\right)\]
\left(x + y\right) + x
↓
x + \left(x + y\right)
(FPCore (x y) :precision binary64 (+ (+ x y) x))
↓
(FPCore (x y) :precision binary64 (+ x (+ x y)))
double code(double x, double y) {
	return (x + y) + x;
}
↓
double code(double x, double y) {
	return 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
Herbie0.0
\[y + 2 \cdot x\]

Alternatives

Alternative 1
Error16.3
Cost834
\[\begin{array}{l} \mathbf{if}\;y \leq -1.894003570204116 \cdot 10^{-07}:\\ \;\;\;\;y\\ \mathbf{elif}\;y \leq 7.788193505707118 \cdot 10^{-25}:\\ \;\;\;\;x + x\\ \mathbf{else}:\\ \;\;\;\;y\\ \end{array}\]
Alternative 2
Error31.3
Cost64
\[y\]
Alternative 3
Error61.9
Cost64
\[1\]

Error

Derivation

  1. Initial program 0.0

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2021044 
(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))