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  • $\begingroup$ Seems that "StateSpace" method is triggered by WorkingPrecision option. ({state}=NDSolve`ProcessEquations[…]; state["NumericalFunction"]["FunctionExpression"] shows that NDSolve is still dealing with a DAE system, StateSpace seems to be the only available DAE solver for arbitrary precision in this case, and adding Method -> {"TimeIntegration" -> {"StateSpace"}} to your code doesn't seem to change the timing. ) It's a bit surprising that adding WorkingPrecision->8 speeds up the code. $\endgroup$ Commented Nov 15, 2019 at 12:56
  • $\begingroup$ Another somewhat surprising thing is, adding SolveDelayed->True to the sample fails in v12 resolves the problem. $\endgroup$ Commented Nov 15, 2019 at 13:03
  • $\begingroup$ @xzczd I guess that the speeding up with WorkingPrecision->8 is probably because the default AccuracyGoal and PrecisionGoal is half of the WorkingPrecision according to the NDSolve documentation. $\endgroup$ Commented Nov 16, 2019 at 16:19