Are there any options to reduce the tracking paths in the function "regeneration"?

[Xinli-zjut]

Dear developers, for the function "regeneration", there are so many tracking paths when the number of polynomial equations increased.
This makes the polynomial system hard to solve. For example, the polynomial system in the picture below is hard to solve, it only has 20 equations.

Are there any ways to control the number of tracking paths? Thank you.

[Xinli-zjut]

When the number of equation is 11, the number of tracking paths are 13668. The tracking paths will become huge when the number of equations increased.