Do you have the simple formula for calculating gears? I can post it later; I also probably know that from memory, but do want to check myself on that one. The gear calculation program is more accurate, and especially at closer distances where the failures of the camera design to match a swing lens type geometry are more extreme (why the 24" gear skips some gear teeth at 25 feet). But the simple formula is handy for roughing things out.
I also have a modified version of the gear program that does the same basic calculations, but outputs the information in a form that seems more useful to me. It is still clunky, but really seems to deliver the goods. I have a friend who is a long time Cirkut shooter, and actually visited the last vestiges of the Cirkut department as it was winding down. He measures focal lengths and makes gears, but does not do computers. I ran some calculations for him based on focal lengths he measured for some of his lenses and he was amazed at how accurate they were when tested on film. For all these years he has been used to needing to fine tune the calculations based on film tests.
Bob Lang (Robert J. Lang) is the person who wrote that program and deserves a lot of credit. I believe his name will show up if you print the code from the program. My non-technical take on this is that Bob wrote a mathematical model of Cirkut Camera operation, then wrote a BASIC computer program that uses that model. A math professor friend of mine felt there was a slight error in the formula; Bob does not agree. The math is way over my head, so I don't have an opinion, but the program I use has been modified over the years and I can't document the changes.
I feel I should also speak up for Ron Klein here again since he was such a strong proponent of Cirkuts on APUG early on. Ron has a problem with the program since it uses slit width in the calculation. Jamie may also have spoken to Ron about this and have some thoughts about it. My feeling is that Bob Lang put every variable for a Cirkut type camera into his model and that the things we think of in calculating film pull, gear, etc (like takeup drum size and large gear diameter) have a big impact on the result and that other things have very minimal impact but are simply part of a complete model of the working of the camera. This can seem unnecessary to #10 shooters (most of the Cirkut professionals), but means the program can work accurately for any Cirkut Camera or Outfit.
Anyway, I've been happy with the results from the gear program. Variations in different people's lens focal length measurements seem to contribute way more to any slight errors (no two measurements ever seem to agree). I think Robert Lang's work was a major contribution.