Average Error: 0.1 → 0.1
Time: 2.7s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[\left(y + z\right) \cdot x + z \cdot 5\]
x \cdot \left(y + z\right) + z \cdot 5
↓
\left(y + z\right) \cdot x + z \cdot 5
double code(double x, double y, double z) {
	return ((x * (y + z)) + (z * 5.0));
}
↓
double code(double x, double y, double z) {
	return (((y + z) * x) + (z * 5.0));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\left(x + 5\right) \cdot z + x \cdot y\]

Derivation

  1. Initial program 0.1

    \[x \cdot \left(y + z\right) + z \cdot 5\]
  2. Using strategy rm

  3. Applied *-commutative0.1

    \[\leadsto \color{blue}{\left(y + z\right) \cdot x} + z \cdot 5\]

  4. Final simplification0.1

    \[\leadsto \left(y + z\right) \cdot x + z \cdot 5\]

Reproduce

herbie shell --seed 2020053 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, C"
  :precision binary64

  :herbie-target
  (+ (* (+ x 5) z) (* x y))

  (+ (* x (+ y z)) (* z 5)))