Speed up root solve

[anandhkb]

Initial Analysis - Prioritize based on experiments
Speeding up root node solves

[github-actions]

🔔 Hi @anandhkb @hlinsen @aliceb-nv, this issue has had no activity for 21 days. Please update or let us know if it can be closed. Thank you!

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[github-actions]

🔔 Hi @anandhkb @hlinsen @aliceb-nv, this issue has had no activity for 21 days. Please update or let us know if it can be closed. Thank you!

If this is an "epic" issue, then please add the "epic" label to this issue.
If it is a PR and not ready for review, then please convert this to draft.
If you just want to switch off this notification, then use the "skip inactivity reminder" label.