Chaoscope isn't exactly a fractal program. It focuses on rendering strange attractors. Apart from IFS(also used in Apophysis) and Julia Quaternion, none of the strange attractors available have self-similar properties. They do, however, have a fractal dimension; they aren't curved surfaces, or volumes, but something in between. Strange attractors are graphs; they are points of clouds that depict the behavior of a dynamic system under specific conditions. Because of their intrinsic nature, you don't need much iteration to get an idea of their shape. This enables you to modify the parameters and see the result straight away. And if you don't feel like looking for a nice attractor yourself, you can have Chaoscope do it for you using the search option, which is an equivalent of Apophysis’s randomize tool.

This is a fractal program well worth your time to investigate in. The output of it can be amazing. The official Chaoscope website, and a free download of the program are both located here.

chaoscope.org