I converted this demo to hlsl and tried to run it in 3dgs:
https://www.shadertoy.com/view/4sX3R2?

It works, but compiling the effect takes forever so be prepared to wait for some minutes before it runs.

Here is a screenshot:


And here the link to download it. I also included a compiled version so everyone without a commercial version or pro can also try it.
http://romania.g0dsoft.com/upload/Fractal%20GS.rar

Conrtols:
WASD + Mouse for the camera
R + F to change the time variable.

Have fun!