Well, the pss and hb analyses are designed to examine the settled state, but they will probably not be much faster in this case, where the settling is pretty quick. They might also require an initial tran analysis with a certain duration (tstab) for good convergence. For very slow settling, an envelope analysis can be used to speed up this initial simulation (option "Use Envelope for tstab"). In general, however, it is preferable to set up the initial state of the circuit in such a way that no settling is required.
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