* Division related changes
- Simplify `div_unsafe_extension` using virtual targets
- Add methods for inversion and safe division
As a followup I'll switch some calls to safe division.
* Test safe division also
* add_virtual_extension_target
- Configure FRI with a list of arities that's more appropriate for a 2^14 instance. The previous config resulted in a huge final polynomial.
- Log the blinding factors, and other logging tweaks.
* Draw challenge points from the extension field
* Now building
* Misc
* Default eval_unfiltered_base
* fmt
* A few field settings
* Add to Sage
* Display tweak
* eval_filtered_base
* Quartic in bench
* Missing methods
* Fix tests
* PR feedback
If we did it all with `ArithmeticGate`s, the main loop (with ~101 iterations of cubing and a couple adds) would be fairly expensive, so this uses a (much smaller) custom gate called `GMiMCEvalGate` which does all the computations for one iteration of that loop.
I think this is the recommended way to apply Fiat-Shamir, to avoid any possible attacks like taking someone else's proof and using it to prove a slightly different statement.