Formula Browser

Converts a realm name string + progress percentage into a fully-resolved path object. Looks up the realm in REALM_DATA.minorRealms to get total XP, absorption value, and position in the global realm order. Computes currentXP, remainingXP, and flags (isComplete, isLate).

realmData    = REALM_DATA.minorRealms[realm]
currentXP    = realmData.totalXP × progressPct / 100
remainingXP  = realmData.totalXP - currentXP
realmIndex   = REALM_DATA.minorRealmOrder.indexOf(realm)
majorRealm   = realm.split(" ")[0...-1].join(" ")  // strips tier
tier         = realm.split(" ").last()  // Early/Mid/Late
isLate       = tier === "Late"
isComplete   = isLate AND progressPct >= 100

Determines the player's current VirYa stage (No Virya → Quasi) by comparing main and aux realm positions. Quasi requires all three paths at the same late-stage realm. Half-Step requires both main and aux to be in the same major realm's Late tier. Perfection requires aux ≤ 2 minor realms behind main-Late. Eminence requires aux ≤ 4 minor realms behind. Completion requires main to be in Late tier.

Quasi: main=Late AND aux=Late AND same major AND third=mainRealm
Half-Step: main=Late AND aux=Late AND same major
Perfection: main=Complete AND (mainIdx - auxIdx) ≤ 2
Eminence: main=Complete AND (mainIdx - auxIdx) ≤ 4
Completion: main=Complete AND main=Late
No Virya: none of the above

Computes the player's total cultivation speed ratio — the multiplier applied to cosmoapsis speed. Combines base realm absorption, VirYa bonus, bloodline bonus, and strive multiplier. EP-TRIB v1.1 formula. Bloodline "average" mode time-weights the event boost over the remaining season: 7 event days at current boost + (seasonDays-7) days at the stage's raw bonus, divided by total days.

viryaBonus  = VIRYA_ABSORPTION_BONUS[virYaStage]  // 0 / 0.20 / 0.40
bloodlineBonus (current mode)  = currentBoost
bloodlineBonus (average mode)  = (currentBoost × 7 + rawStageBonus × (seasonDays-7)) / seasonDays
striveMultiplier = 1 + strive
totalAbsorption  = (baseAbsorption + viryaBonus) × striveMultiplier × (1 + bloodlineBonus)

Sums all abode energy bonuses (or uses the manual override from the in-game Skyward Rush screen). The abode bonus multiplied by the base cosmoapsis energy (130) yields the bonus energy above the base 130.

abodeBonusTotal = abodeTotalManual ?? SUM(all abode fields)
bonusEnergy     = abodeBonusTotal × GAME_CONSTANTS.cosmoapsiBaseEnergy  // 130
totalEnergy     = bonusEnergy + 130

The primary passive XP source. Cosmoapsis speed = total energy × total absorption. XP/day = cosmo speed × 10,800 cultivation cycles/day (GAME_CONSTANTS). This is the foundation all other passive sources scale against.

cosmoSpeed    = totalEnergy × totalAbsorption
cosmoXPPerDay = cosmoSpeed × 10800  // cultivationCyclesPerDay

The Cultivation Gem (Auraseep) adds a speed bonus on top of cosmoapsis. EP-TRIB v1.1 folds the base auraseep multiplier into EFFICIENCY_DATA (gemSpeedBonusByQuality). The total gem bonus is additive: base gem speed + auraseep temper1 + that sum × baseBonus.

gemSpeedBase        = EFFICIENCY_DATA.gemSpeedBonusByQuality[gem.rarity]
gemSpeedWithBonuses = gemSpeedBase + temper1 + (gemSpeedBase + temper1) × baseBonus
cosmoSpeedPlusGem   = cosmoSpeed × (1 + gemSpeedWithBonuses)
gemXPPerDay         = cosmoSpeedPlusGem × 10800 - cosmoXPPerDay

The Pearl artifact generates passive cultivation via energy → pills → XP. EP-TRIB v1.1: No-star pearl = 2000 cycles/day, 1+ stars = 2400 cycles/day. Star-level cost reductions apply: 1-2 stars = -5% pill cost, 3+ stars = -10%. Pearl XP uses base cosmo speed (not total, unlike gem) per the Fatty PassiveXP sheet.

pearlCycles  = 2000 (No star) | 2400 (1+ stars)  // from ARTIFACT_DATA
costMult     = 1 | 0.95 (1-2 star) | 0.90 (3+ star)
pillsPerDay  = (artifactEnergyPerDay(stars) + 5starBonus) / (basePillCost × costMult)
pearlXPPerDay= cosmoSpeedBase × pearlCycles × pillsPerDay

The Red Curio provides an auxiliary cultivation speed effect that generates XP as a fraction of cosmoapsis XP. Sum the four Red Curio bonus fields to get the fraction, then multiply by cosmoXPPerDay.

redCurioAuxFrac  = baseEffect + auxIndepCultSpeed + auxIndepCultEfficiency + temperingEnhanced
redCurioXPPerDay = cosmoXPPerDay × redCurioAuxFrac
totalPassiveXPPerDay = cosmoXPPerDay + gemXPPerDay + pearlXPPerDay + redCurioXPPerDay

The three pill-producing artifacts (Vase, Mirror, Token) each generate energy per day (Fate recharge + per-year rate × 96 Taoist years/day). That energy converts to pills at the relevant pill cost, and pills convert to XP at the current major realm's pill XP rate. Higher star levels grant +5% / +10% 5-star bonus energy on Vase.

energyPerDay   = Fate(100) + perYear[stars] × 96
pillsPerDay    = energyPerDay / pillCost[rarity]
artifactXPPerDay = pillsPerDay × PILL_DATA.pillXpByRealm[majorRealm]

Respira attempts generate a "cultivation gush" — a burst of extra XP. Total attempts = technique + curio + friends. Each attempt has a base gush chance modified by technique/friends/curio/worldRift/dipperMansion bonuses. The average gush multiplier is then applied to the daily XP rate.

totalAttempts  = techniqueAttempts + curioAttempts + friendsAttempts
respiraBonus   = techniqueBonus + friendsBonus + curioBonus + worldRiftBonus + dipperMansionBonus
avgGushMult    = computed from base gush chance × (1 + respiraBonus) × attempts
respiraXPPerDay= cosmoXPPerDay × avgGushMultiplier

Elixirs convert directly to cultivation XP. The elixir efficiency multiplier scales with how many elixirs have already been used (diminishing returns), tracked via elixirTotalUsed.

efficiencyMult = EFFICIENCY_DATA.elixirEfficiency[elixirTotalUsed bucket]
elixirXPPerDay = elixirPerDay × efficiencyMult × PILL_DATA.elixirXPValue

Sums all XP sources to compute the total XP earned per day on the main path and aux path. The path focus (Main or Secondary) determines which path gets the larger active XP allocation. Also provides a breakdown by source category.

mainPathXPPerDay = totalPassiveXPPerDay + (pathFocus=Main ? totalActiveXPPerDay : 0)
auxPathXPPerDay  = totalPassiveXPPerDay + (pathFocus=Secondary ? totalActiveXPPerDay : 0)

Calculates the total XP value of all Myrimon fruits accumulated before the Target Gate. Factors in weekly fruit acquisition (basic runs + ranking + shop + token runs), the number of Wednesdays remaining (weekly reset day), the Extractor's cultivation multiplier (raises XP per orb), and gush chance (average burst XP per orb).

numWednesdays     = count of Wednesdays between now and TG endDate
weeklyFruits      = weeklyBasicRuns + weeklyRanking + weeklyShop + weeklyTokenRuns
totalFruitsToTG   = owned + weeklyFruits × numWednesdays
baseFruitXP       = REALM_DATA[currentRealm].fruitXP × (isLastUnlockedRealm ? 1.5 : 1)
avgFruitXPPerOrb  = baseFruitXP × extractorCultMultiplier × avgGushMultiplier
totalFruitXP      = totalFruitsToTG × avgFruitXPPerOrb

Calculates how many days until the player completes their current minor realm (Early/Mid/Late) and can perform a minor breakthrough. Separate calculations for main and aux paths. A "with fruits" variant applies Myrimon fruit XP as a one-time lump sum reduction.

remainingXP         = totalXP × (1 - progressPct/100)
daysToMinorBT       = max(0, remainingXP) / mainPathXPPerDay
daysToMinorBT_fruits= max(0, remainingXP - totalFruitXP) / mainPathXPPerDay

Calculates days to complete the entire current major realm (all three tiers). Includes variants: plain, with fruits, and with a fully-maxed Extractor (which increases fruit XP). Also projects what percentage of the NEXT major realm the player will have completed by their Target Gate (TG) date.

needed      = remainingMinorXP + SUM(remaining tiers XP in major realm)
daysToMajor = max(0, needed - fruitXP) / xpPerDay
nextMajorPct= max(0, (xpEarnedBeforeTG - xpToEndCurrentMajor) / nextMajorTotalXP) × 100

For each VirYa stage (Completion through Quasi), projects how many days remain until the player can achieve it, whether it is reachable before the Target Gate, and the XP surplus/deficit vs the TG window. Each scenario re-scales the daily XP rate using the ratio of that stage's absorption bonus vs current absorption — this is aspirational speed (what you'd earn if you already had that bonus). Fruit XP is also applied as an offset.

targetIdx[Completion]  = mainLateIdx
targetIdx[Eminence]    = mainLateIdx - 4
targetIdx[Perfection]  = mainLateIdx - 2
targetIdx[Half-Step]   = mainLateIdx
targetIdx[Quasi]       = mainLateIdx (both aux AND third)

scenarioXPD  = baseXPD × scenarioAbsorption / currentAbsorption
xpNeeded     = SUM(minorRealm.totalXP for each realm from current to targetIdx)
daysToReach  = max(0, xpNeeded - fruitXP) / scenarioXPD
reachable    = daysToReach ≤ daysRemaining

Projects the Extractor's bubble levels (Cultivation EXP, Quality, Gush) at the Target Gate, based on Myrimon souls earned from boss runs, ranking, and shop. Determines if the Extractor can be fully maxed before breakthrough.

weeklySouls = soulsFromBoss + soulsFrom3WeeklyRuns + soulsFromRanking + soulsFromShop
totalSouls  = soulsSpentOnCurrentLevels + weeklySouls × weeksToTG
projectedLevel = highest level affordable with totalSouls from EXTRACTOR_DATA