Feature Request: New sort options

[drxenocide]

I want to modify the alchemy UI in SkyUI so I can sort by the following:
Number of ingredients
Number of known effects (0-4)
Probability of discovering a new effect

I have an equation for for the probability of discovering a new effect, but I don't know what I have to modify.

The equation is p(u)=1-a[u]*((T-u-3)^3)/(T^8) where a[i]=(T-i)_P_5,where p is the probability, P is the permutation function, T= Total number of alchemy effects in the game=56, and u=unknown effects of the ingredient under test.

My work deriving the equation is here: https://drive.google.com/file/d/1DFjg6dQKZB2S3Un72IYZYkSSkAsPv_LG/view?usp=sharing