Here's a look at this using the Golden Mean to find four points, which I then used to make a grid, dividing up the picture plane. The idea with this is that the points of intersection should be ideal focal points, and the shapes should follow the lines. I don't see any of that here.
Here's another grid, this time dividing the painting into fourths. Again, I don't see any of the points or lines lining up with anything.
This last one turned out interesting, though. Here I made a simple diamond shape, and you'll see that a lot of the composition fits in quite nicely. There is a lot of symmetry in this painting, it's just subtle.