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Frederik has provided me with some news about Ultra Fractal 6.

Q1:  Is Ultra Fractal still in development, and if so, are there plans to incorporate these fast perturbation zooming methods?

A1:  I've got good news for you. I'm quite excited about perturbation calculations myself and have already finished implementing it for Ultra Fractal 6. Just need to complete a couple of other things and am hoping to be ready to release it later this year.

Q2:  Any plans to implement the newest discoveries outlined in this document: http://www.superfractalthing.co.nf/sft_maths.pdf (Q2 posted by jabeck at Ultra Fractal Forums)

A2:  The next version of UF will have this feature as well, both for the built-in Mandelbrot and for your own formulas. It's already working for me and is indeed quite a magical speedup.

i think the only "glitch avoiding algorithm" would be to address precision loss with greater precision during perturbation, instead of recomputing with the same precision using a different reference point.  i havent experimented with that yet, but i suspect it might not be worthwhile at lower depths but probably becomes worthwhile past a certain depth where the precision required by reference points becomes too costly.

I have reasons to doubt that UF6 would be able to take any formula and make perturbation of it.

Take the standard mandelbrot formula as example.
Set d as delta and c is the start point of delta, z is the reference and r is the start point of the reference:
Perturbation of the standard mandelbrot is (z+d)^2+(c+r) - (z^2+r) => 2*z*d + d^2 + c
As you can see, both z^2 and the start of the reference r are eliminated.
Since r is an high precision variable, which very probably is out of bounds for hardware datatypes, it is as important to be removed as the high power of z!

I received a formula, (z*r)^2-(z+r) which I didn't succeed render with perturbation.
You can try it yourself.
Replace z with z+d and r with r+c, then minus the original formula.
((z+d)*(r+c))^2-((z+d)+(r+c)) - ( (z*r)^2-(z+r) )

Enter the formula in http://quickmath.com/webMathematica3/quickmath/algebra/simplify/basic.jsp and you get the result:
2z^2rc+z^2c^2+2zdr^2+4zdrc+2zdc^2+d^2r^2+2d^2rc+d^2c^2−d−c
As you can see, r is still there, so it is not possible, sorry

So what can be done with perturbation is probably not much more than what stardust4ever already exploited and I implemented in KF...

For (zr)² - (z + r) where r is a parameter like the c in the original, isn't d -> (2zr² + dr² - 1)d going to work to perturb it? Since the RHS is a product of d the precision needs ought to be the same as perturbing the original.