Add remove_bridge, print_active_bridges, and document

[odow]

As suggested by @blegat in #2348 (comment), we're actually missing a few key tools to help the user understand the bridges.

This PR adds JuMP.remove_bridge and JuMP.print_active_bridges, and then extends the ellipse approximation tutorial to investigate alternate formulations.

Preview link: https://jump.dev/JuMP.jl/previews/PR3259/tutorials/conic/ellipse_approx

[codecov]

Codecov Report

Patch coverage: 100.00% and no project coverage change

Comparison is base (60392b0) 98.10% compared to head (7fe4bd5) 98.10%.

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #3259   +/-   ##
=======================================
  Coverage   98.10%   98.10%           
=======================================
  Files          34       34           
  Lines        4702     4704    +2     
=======================================
+ Hits         4613     4615    +2     
  Misses         89       89           

Impacted Files	Coverage Δ
src/JuMP.jl	96.87% <100.00%> (+0.04%)	⬆️
src/optimizer_interface.jl	96.87% <100.00%> (ø)

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[odow]

This tutorial tells a nice story, and it's a pretty great demo of all the complexity that JuMP is sorting through under the hood!

It's quite nice to inspect the model, rewrite it to be closer to something that SCS supports, and try out an alternative formulation that is faster.

[jd-foster]

Can you PR to a PR? Let's find out.

[odow]

Yip. Just make it like normal, then you can change it at the od/remove_bridge branch instead of master with the "Edit" button

[jd-foster]

Ok, I'm stopping with commits to let you review, otherwise we're just overwriting each other.

[jd-foster]

Are you able to merge commit the PR? - the constraint needs to be t <= (detZ)^(1/n) not t >= ...

[odow]

Sorry, we kinda went over the top of each other there. I have no further plans for this PR, so if you have changes you should be safe to try a new PR 😄

[jd-foster]

All good! All my changes got added on your side in the end.

[blegat]

Love it, looks good modulo the minor comment at the end