Well, keep in mind that the shapes are reflecting the environment, AS WELL AS each other too.

Looks like there is a LOT of black in your scene.

So, one way would be to fake it!

Instead of rendering it using raytracing, refractions, etc, make a small 6-12 frame animation in Photoshop, or After Effects, etc, of a SIMILAR environment.
It doesn't have to be anything great, BUT it helps to use the "ripple" filter as it can help to fake the refractivity a bit.

Then, pump that into your reflective color channel as a fake animated environment reflection.

Gimme a few hours, and I'll show you what I mean

In the meantime, how is your shader set up?

By that I mean, are you raytracing refractions, do you have any reflectivity going on? etc...