Average Error: 0.0 → 0.0
Time: 572.0ms
Precision: binary64
\[\left(x + y\right) + x\]
\[x + \left(x + y\right)\]
\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
\[y + 2 \cdot x\]

Derivation

  1. Initial program 0.0

    \[\left(x + y\right) + x\]
  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020224 
(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))