This route is left of a snow couloir that splits the East Face of Muriel Peak.
Ascend the boulder field south of Muriel Lake and skirt the first Lost Lake on its West side. Near the south end of the lake head up right to gain a huge horizontal rock bench that runs directly to the East Face. Follow this right up to the face where it steepens to 3rd class.
Climb 3rd - 4th class rock up a dark crack system for ~25' then jog right into a left-leaning, small shallow gully. Follow this to the summit plateau and head west to the summit (3rd high point from the North).
We climbed this when it was a bit choked with snow and ice and the prior night was freezing. It was pretty solid and much better quality than the terrain we descended right of the couloir.