I noticed that the internal renderer produces wrong results in the case that the ray should be reflected multiple times inside an object. In an actual object, the total internal reflection often occurs successively, but in Blender it occurs only at most once.

See "totrefl_test.blend" I attached. There are two colored spheres and a transparent wall. If the renderer can correctly trace the successive total internal reflection, we should see the green sphere through the wall but actually see the red one.