Nope. I don't do encounters per day.
Random encounters are rolled periodically depending on the terrain, etc. Some days there are none, other days one, and could be as many as half a dozen.
Dungeons, complexes, etc. are "stocked" according to the world and narrative of the adventure.
Players "adventure" according to how they judge their own strengths and weaknesses, but also according to the story itself. Sometimes they need to push, other times they can set their own pace, etc.
Balance is not an issue for me. Only story/narrative/world "building" matters. Some encounters are easy, some challenging, and some meant to be avoided. I don't worry about hit point attrition or such. Characters can rest when they can, but there is no guarantee that a rest will be forthcoming when the PCs are running low on fumes. Players have to be smart about managing their own resources and know when to not push their luck further.