Probabilistic programming (perhaps with automatic differentiation)?

[tygert]

Have you considered probabilistic programming for error propagation? Automatic differentiation (together with the delta method from statistics) is pretty nice, too -- and popular courtesy of backpropagation for neural networks.

[tygert]

One suggestion I got from a fan of the calculator is to use WebPPL as a backend, with your user-interface as the frontend parsing into something that WebPPL could handle. Something like Stan could also work, of course.

[filiph]

These are great ideas! I won't have the time to act on this any time soon, but I'm keeping this as an open issue. Thanks!