Skip to main content

​
How tasks are costed

​
The formula

manaCost=relativeCost×durationmin⁡×personalCoefficient×axisFactor×0.5\text{manaCost} = \text{relativeCost} \times \text{duration}_{\min} \times \text{personalCoefficient} \times \text{axisFactor} \times 0.5
VariableDescription
relativeCostEffort relative to user baseline
durationMinutesTask duration
personalCoefficientCondition severity multiplier
axisFactorDaily variation multiplier from check-in
0.5Normalization constant

​
Where relative cost comes from

For template tasks: relativeCost=max⁡(baseMET−1.0, 0.1)\text{relativeCost} = \max(\text{baseMET} - 1.0,\ 0.1) For user-created tasks: impliedCoefficient=0.8×1.8(rating−1)\text{impliedCoefficient} = 0.8 \times 1.8^{(\text{rating} - 1)} impliedRelativeCost=impliedCoefficientpersonalCoefficient\text{impliedRelativeCost} = \frac{\text{impliedCoefficient}}{\text{personalCoefficient}}
After a personal task reaches 10 completions, personal completion behavior can override template-derived cost.

​
Physical vs cognitive split

Each task has body/mind weights (e.g. vacuuming 0.90/0.10, form-filling 0.15/0.85). This controls how much body and mind check-in values contribute to axis factor for that task.

​
Example: brushing teeth

Healthy person, neutral day: 1.0×2 min×1.0×1.0×0.5=1.0 mana1.0 \times 2\,\text{min} \times 1.0 \times 1.0 \times 0.5 = \mathbf{1.0\,\text{mana}} Moderate ME/CFS profile (coefficient 2.6), neutral day: 1.0×2 min×2.6×1.0×0.5=2.6 mana1.0 \times 2\,\text{min} \times 2.6 \times 1.0 \times 0.5 = \mathbf{2.6\,\text{mana}} Same task and duration, but 2.6x cost due to condition severity.

​
Axis factor (daily variation)

effectiveRating=wbody×body+wmind×mind\text{effectiveRating} = w_{\text{body}} \times \text{body} + w_{\text{mind}} \times \text{mind} axisFactor=1.0+(3.0−effectiveRating)×s,s={0.25if effectiveRating<30.10otherwise\text{axisFactor} = 1.0 + (3.0 - \text{effectiveRating}) \times s,\quad s = \begin{cases} 0.25 & \text{if } \text{effectiveRating} < 3 \\ 0.10 & \text{otherwise} \end{cases}
Asymmetry is deliberate: bad days raise costs aggressively; good days lower costs conservatively.
Check-in stateAxis factorCost effect
All 1s~1.50+50%
All 2s~1.25+25%
All 3s1.00no adjustment
All 4s~0.90-10%
All 5s~0.80-20%
For non-full check-ins: Tier 2 maps identically, Tier 3 dampens yesterday’s axis factor by x 0.9, Tier 4 defaults to 1.0.

​
Personal coefficient (condition severity)

SeverityCoefficientTypical pool
Healthy~1.0100-130
Mild~1.550-80
Moderate~2.0-3.025-50
Severe~3.5-5.08-20
Initial calibration: personalCoefficient=weightedAverage(impliedCoefficients, taskWeights)\text{personalCoefficient} = \text{weightedAverage}(\text{impliedCoefficients},\ \text{taskWeights}) Ongoing adaptation: baselineSpend=∑task.manaCosttask.axisFactor\text{baselineSpend} = \sum \frac{\text{task.manaCost}}{\text{task.axisFactor}} dailyRatio=baselineSpendallocatedMana,coefficientEwma=α⋅dailyRatio+(1−α)⋅coefficientEwma\text{dailyRatio} = \frac{\text{baselineSpend}}{\text{allocatedMana}}, \qquad \text{coefficientEwma} = \alpha \cdot \text{dailyRatio} + (1 - \alpha) \cdot \text{coefficientEwma}
Axis factor is stripped before coefficient learning so rough days do not masquerade as long-term severity changes.

​
Mana pool (daily budget)

​
Stable pool design

The pool does not directly follow today’s check-in. Daily variation flows through task costs (axis factor), not pool size.
This avoids circular shrinkage loops where low check-ins both reduce pool and increase costs.

​
Pool calculation

poolEwmat=α⋅spendt+(1−α)⋅poolEwmat−1\text{poolEwma}_t = \alpha \cdot \text{spend}_t + (1 - \alpha) \cdot \text{poolEwma}_{t-1} dailyPool=poolEwma×bias,bias=0.80+confidence×0.17\text{dailyPool} = \text{poolEwma} \times \text{bias}, \qquad \text{bias} = 0.80 + \text{confidence} \times 0.17
VariableValueNotes
alpha0.15 normal, 0.35 fastFast mode on regime shift
bias0.80-0.97Conservative margin tied to confidence

​
Confidence model

EventConfidence effect
Tier 1 day+0.03
Tier 2 day+0.02
Tier 3-4 day+0.01
PEM detected-0.30
Sustained underperformance-0.05/day
Regime shift-0.50
ConfidenceBias
0.00.80
0.50.885
1.00.97

​
Absence and return behavior

Absence does not decay confidence. After 7+ days away, return runs a 3-check-in recovery modifier (0.85 then 0.95 then restore).

​
Severity-level intuition

SeverityCoefficientTypical poolManageable day often looks like
Healthy1.0100-130hygiene + admin + outing + exercise
Mild1.550-80hygiene + light cooking + one outing
Moderate2.625-50essentials + one meaningful activity
Severe4.08-20essentials + basic hygiene + limited upright time