In an attempt to level up my theory craft

I whipped out the calculator and did some, well, calculations.
In order for claw and shred to have the same damage per energy, your base damage needs to be 226 2/3.
My current average damage in catform is 108.4 in my all purpose gear and 115 if I go all out cat. Granted, my "pure" cat form gear isn't that crash hot, but it gives me a little over 800ap with HotW. I would require over 1500ap to get my base damage up that that level. (I don't have natural weapons though, which would make quite a large differnce in getting these figures.)
Looking at a couple of other scenarioes:
Having both Improved Shred and Savage Fury: Base damage needed to give shred and claw the same efficiency rating is a little over 19. So it's pretty much a given that if you have the talent points invested, shred will give you more bang for your buck.
Having neither Imp. Shred nor Savage Fury: Base damage needed to give the same efficiency is 90. Since that is a very achievable figure, shred is going to be the more efficient attack for people who haven't invested many points in the feral tree.
However I'm not convinced that looking at these abilities in terms of energy efficiency is the right way to go about this. I think we'd be much better severed mapping them in terms of increased DPS than efficiency.
So lets look at the DPS generated using the following assumption: you start with a full energy bar, finish with Ferocious Bite (costing 35 energy) and have a base damage of 120. Given that energy regenerates at a rate of 20 points per 2 seconds, the time required to build 5 combo points is: 2*{(5*cost + 35) - 100}, or (3.5 + c/2) - 10
Claw time = 13.5 seconds, rounded up to 14.
Shred time = 23.5, rounded up to 24.
Improved Shred time = 17.5, rounded up to 18
DPS = (5*Damage + 150) / time
Claw DPS = 138.21 (note that claw gets an additional 10 damage from the 5 left over energy which is used by ferocious bite)
Claw DPS (with Savage Fury) = 155
Shred DPS = 125.42 (shred also gets a bonus 10 damage from FB)
Imp Shred DPS = 167.22 (strangely enough, improved shred also gets 10 extra damage from FB)
Ok, now things get a little strange, and I think I stuffed up my maths. (Hey, it's been about 10 years.

) Attempting to find out at what damage the dps from a savage fury claw combo and a non-improved shred combo equalled out I go 856.3!

For the sake of curiosity I plugged the other numbers, and got the following: The DPS from 5 savage fury claws is the same as the dps from 5 improved shreds when your weapon damage is 57.78; and with neither talent is is 234.67. I would
really, really appreciate someone with a simple graphing program or more practiced mathamatical skills than mine check these figures, as they seem
waaaaaaay to wild and variable to be accurate.
I'd be very interested to hear from our resident rogues on this matter, as I think they would have a more appropriate slant on cat form calculations than us mana crunchers.
Anyways, to sum up: 1) my maths is shaky and really needs to be checked by someone else. (Which is why I haven't posted my works for the dps/weapon damage calculations: I don't want to slant anyone.

) 2) Assuming my maths is correct: claw is indeed vastly supperiour to shred if you don't have improved shred, and 3) if DPS is your goal, improved shred would seem to be an invaluable talent to get.
But, once again, I would really appreciate a second opinion on this. I know I've made a mistake somewhere, I'm just not sure if it's the logic or the maths.