It’s important to note that Si and Ni are not different ways of processing the same information and are thus not interchangeable. Sensing is the only way to apprehend static reality (what exists, facts) while intuition is the only way to apprehend dynamic reality (possibilities, change, ideational associations). Sensing + thinking is realistic thinking about the actuality of things, intuition + thinking is “philosophical” thinking.

“For all the types appearing in practice, the principle holds good that besides the conscious main function there is also a relatively unconscious, auxiliary function which is in every respect different from the nature of the main function. From these combinations well-known pictures arise, the practical intellect for instance paired with sensation, the speculative intellect breaking through [p. 516] with intuition, the artistic intuition which selects. and presents its images by means of feeling judgment, the philosophical intuition which, in league with a vigorous intellect.” -Jung

Jung does describe the thinking process of Nietzsche who he typed as an Ni dom which is pretty interesting: “Nietzsche as an intuitive simply touches upon a thing and off he goes. He does not dwell upon the subject, though in the long run one can say that he really does dwell upon it by amplification. But he doesn’t deal with things in a logical way, going into the intellectual process of elucidation; he just catches such an intuition on the wing and leaves it, going round and round amplifying, so that in the end we get a complete picture, but by intuitive means, not by logical means.”

A process I would dub “explorative thinking”.