Lifestyle Optimization: Sleep, Exercise & Nutrition Trade-offs

Daily Allocation

Sleep 7.0 h

Exercise 30 min

Nutrition quality 50 / 100

Stress management 10 min

Outcome

Wellness score / 100

Sleep-debt multiplier

1.00×

Self-care time used

40 / 600 min

Iterations run

How it works

Each lifestyle factor x is normalized to a target (sleep/8h, exercise/60min, nutrition/100, stress-mgmt/30min) and converted to a 0–100 score with diminishing returns via a saturating exponential — extra effort beyond the target keeps helping, just less and less:

factor(x) = 1 − e^(−2·x/target)
Base score S = 100 · mean(factor_sleep, factor_exercise, factor_nutrition, factor_stress)

Sleep is treated as load-bearing: real physiology shows sleep debt blunts the benefit of exercise, diet control and stress recovery. Below 7 h/night a multiplicative sleep-debt penalty drags the whole score down, not just the sleep component:

penalty(sleep) = 0.4 + 0.6 · min(1, sleep / 7)
Wellness = S × penalty(sleep)

Time is scarce too: exercise + stress-management minutes are tracked against a 600 min/day (10 h) self-care budget alongside sleep, so pushing every slider to its max is not automatically optimal — it can crowd out the very budget the routine depends on.

Sliders — set your own daily routine and watch the four bars and center orb respond live.
Auto-Optimize — runs coordinate-wise hill-climbing: it nudges each variable, keeps the move if the score improves, and repeats until it converges on a local optimum.
Reset — returns to a modest, unoptimized baseline routine.

Sleep Exercise Nutrition Stress mgmt

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