the world > action or operation > endeavour > trial or experiment > try experiments or make experiment [verb (intransitive)] > proceed tentatively (2)
to feel (out) one's way and variants: to find one's way by groping or treading carefully; (figurative) to proceed cautiously or tentatively.
to grope one's way: to find one's way by feeling about or groping; to feel one's way; to proceed in a tentative manner. literal and figurative.