Ordinary Extrapolation[]
In Ordinary Extrapolation, the player may challenge difficulties to obtain First-Time Clearance Rewards and unlock subsequent levels regardless of their Equilibrium Level.
Starting Resources[]
The player starts with 
Cosmic Fragment ×50. The starting Cosmic Fragments amount increases by 30 via activating Initial Resources in Inspiration Circuit, and another 20 via displaying the exhibit Herta: Collector's Edition in the Probability Museum. The maximum starting Cosmic Fragments amount is 100.
The player starts with a random 2-Star Equation and a Trailblaze Blessing. Unlike the original Simulated Universe, there is no reroll function when choosing a Blessing in Divergent Universe.
Difficulties[]
| Difficulty | Details |
|---|---|
| I |
|
First-Time Clearance Reward: 120 600 2 2 | |
Extra Drops:          | |
| II |
|
First-Time Clearance Reward: 60 200 200 | |
| Extra Drops: | |
| III |
|
| First-Time Clearance Reward: 60 200 200 | |
| Extra Drops: | |
| IV |
|
| First-Time Clearance Reward: 60 200 200 | |
| Extra Drops: | |
| V |
|
| First-Time Clearance Reward: 60 200 200 | |
| Extra Drops: |
Titles[]
| Icon | Title | Highest Difficulty Cleared |
|---|---|---|
 |
Stargazer I | I |
|
Stargazer II | II |
|
Stargazer III | III |
|
Stargazer IV | IV |
|
Above the Earth | V |
 |
Break the Sky | V1 |
 |
Into the Cosmos | V2 |
 |
Life's New Journey | V3 |
 |
Farewell to the Sun | V4 |
 |
Milky Way's Heart | V5 |
 |
Universe's End | V6 |
|
Navigation All-Stars | V7 |
|
Trailblaze | V8 |
Cyclical Extrapolation[]
In Cyclical Extrapolation, the player will receive specific Weighted Curios and Equations, and will not receive them after Boss Battles. These set items will be reset on a weekly basis, with bonus rewards and points being available for each weekly clear.
- Current Event Run
Overview
Rules
- Obtain this week's Preset Constructs upon entering the first plane
| Initial Curios |   When entering battle, receives a random Boundary Equation's effect. This does not overwrite any activated Boundary Equation's effects |
|---|---|
| First-Time Completion Reward | 30 3 |
Difficulties
- Difficulty I
- Difficulty II
- Difficulty III
- Difficulty IV
- Difficulty V
- Difficulty V3+
| Difficulty | Details |
|---|---|
| I |
|
Possible First Plane Bosses:     Lv. 49 Voidranger: Trampler   Lv. 49 Decaying Shadow | |
| Possible Second Plane Bosses: Lv. 53 Voidranger: Trampler (Bug) Lv. 53 Decaying Shadow (Bug) | |
| Third Plane Boss: | |
Extra Drops:        |
| Difficulty | Details |
|---|---|
| II |
|
| Possible First Plane Bosses: Lv. 59 Voidranger: Trampler Lv. 59 Decaying Shadow | |
| Possible Second Plane Bosses: Lv. 63 Voidranger: Trampler (Bug) Lv. 63 Decaying Shadow (Bug) | |
| Third Plane Boss: | |
| Extra Drops: |
| Difficulty | Details |
|---|---|
| III |
|
| Possible First Plane Bosses: Lv. 69 Voidranger: Trampler Lv. 69 Decaying Shadow | |
| Possible Second Plane Bosses: Lv. 73 Voidranger: Trampler (Bug) Lv. 73 Decaying Shadow (Bug) | |
| Third Plane Boss: | |
| Extra Drops: |
| Difficulty | Details |
|---|---|
| IV |
|
| Possible First Plane Bosses: Lv. 79 Voidranger: Trampler Lv. 79 Decaying Shadow | |
| Possible Second Plane Bosses: Lv. 83 Voidranger: Trampler (Bug) Lv. 83 Decaying Shadow (Bug) | |
| Third Plane Boss: | |
| Extra Drops: |
| Difficulty | Details |
|---|---|
| V |
|
| Possible First Plane Bosses: Lv. 89 Voidranger: Trampler Lv. 89 Decaying Shadow | |
| Possible Second Plane Bosses: Lv. 93 Voidranger: Trampler (Bug) Lv. 93 Decaying Shadow (Bug) | |
| Third Plane Boss: | |
| Extra Drops: |
| Difficulty | Details |
|---|---|
 V3+ |
|
Possible First Plane Bosses:  Lv. 89 The Ascended (Bug) | |
Possible Second Plane Bosses:  Lv. 93 Svarog (Complete) | |
| Third Plane Boss: | |
| Extra Drops: |
History[]
Threshold Protocol[]
Threshold ProtocolAfter clearing Difficulty V, the Threshold Protocol feature becomes available in Ordinary Extrapolation and Cyclical Extrapolation, providing a further challenge.
Every time the enemy's level increases, the "initial" number below is multiplied, up to four times, until it reaches the listed "final" number at the third plane's boss:
| Protocol | Stat Boosts (Initial/Final) | Additional Effects | |||||
|---|---|---|---|---|---|---|---|
| ATK | HP | DMG Mtg.DMG Mtg. | SPD | Eff. RES | B.E. DMGB.E. DMG Tooltip for B.E. DMGⓘ | ||
| 1
|
10%/40% | 16%/64% | 3%/12% | — | — | 13%/52% | Equation acquisition becomes more randomized. (It no longer prioritizes ones which the player is close to expanding.)[verification needed] |
| 2
|
20%/80% | 32%/128% | 6%[verification needed]/22% | — | — | 26%/104% | Enemies will enter Berserk state earlier, and the rate at which the Berserk state stacks will also increase. |
| 3
|
30%/120% | 48%/192% | 9%[verification needed]/32% | 4%/16% | — | 39%/156% | The boss enemies of the first and second planes will change. |
| 4
|
39%/156% | 64%/256% | 12%[verification needed]/40% | 8%/32% | 2%/8% | 52%/208% | Enemies in Berserk state will have their actions advanced forward by 15% after being attacked. |
| 5
|
48%/192% | 80%/320% | 15%[verification needed]/48% | 11%/44% | 4%/16% | 65%/260% | Elite and boss enemies have their Toughness increased by 40. |
| 6
|
57%/228% | 110%/440% | 17%[verification needed]/52% | 14%/56% | 5%/20% | 87%/348% | When not in the Weakness Broken state, DMG taken is reduced by 15%. |
| 7
|
57%/228% | ???%[verification needed]/750% | 17%[verification needed]/52% | 14%/56% | 5%/20%[verification needed] | ???%/???%[verification needed] | None |
| 8
|
57%/228% | ???%[verification needed]/1280% | 17%[verification needed]/52% | 14%/56% | 5%/20%[verification needed] | ???%/???%[verification needed] | None |
Arithmetic Mapping[]
Planar Ornament Extraction[]
Overview[]
When clearing Ordinary Extrapolation and Cyclical Extrapolation in the Divergent Universe, stage clear data can be saved in a Save File. Save Files can be loaded in the Planar Ornament Extraction system's stages to directly perform Boss Challenges. Respective Planar Ornaments for the corresponding stage will be obtained with successful challenges. Save Files will be reset every Monday at 04:00 (Server time).
When the Equilibrium Level is increased, the Planar Ornament Extraction system will unlock challenges of higher difficulties. The harder the challenge, the more rewards earned, and enemies will be stronger too. Boss difficulty in the Planar Ornament Extraction system is only linked to the challenge's difficulty, and is not related to the Save File's stage clear difficulty. Teams performing Boss Challenges can be freely swapped, and players may deploy 1 Support character to assist in battle.
After completing a challenge, players can choose "One More Time" to perform the same challenge while keeping the effects of used Techniques from the previous challenge.
Note that Arithmetic Mapping is not effective in Planar Ornament Extraction.
Difficulties[]
| Difficulty | Equilibrium Level Required |
Recommended Team Level |
Boss Level |
|---|---|---|---|
| I | 0 | Lv. 45 | Lv. 50 |
| II | 3 | Lv. 55 | Lv. 60 |
| III | 4 | Lv. 65 | Lv. 70 |
| IV | 5 | Lv. 75 | Lv. 80 |
| V | 6 | Lv. 80 | Lv. 90 |
Stages[]
| Stage | Boss | Rewards | Cost |
|---|---|---|---|
| Untoppled Walls | 200 Trailblaze EXP — Credit |
 ×40 |  ×1
| |
| Smelted Heart | 200 Trailblaze EXP — Credit | ||
| Gentle Words | 200 Trailblaze EXP — Credit | ||
| Permafrost | 200 Trailblaze EXP — Credit | ||
| Fruit of Evil | 200 Trailblaze EXP — Credit | ||
| Pouring Blades | 200 Trailblaze EXP — Credit | ||
| To Sweet Dreams | 200 Trailblaze EXP — Credit | ||
| Eternal Comedy | 200 Trailblaze EXP — Credit | ||
| Famished Worker | 200 Trailblaze EXP — Credit |
Change History[]
- Ordinary Extrapolation:
- Stellaron Hunter: Sam (Complete) was replaced by Borisin Warhead: Hoolay (Complete) in the Third Plane Boss list.
- Added Threshold Protocol:
- 7
- 8
- Added Titles:
- Navigation All-Stars
- Trailblaze
- Added Planar Ornament Extraction:
- Famished Worker
- June 26, 2024:
- Ordinary Extrapolation:
- Ten Stonehearts: Aventurine of Stratagems (Complete) was removed from the Third Plane Boss list.
- Threshold Protocol:
- Maximum DMG Mitigation was tweaked. (Old → New)
- 2: 24% → 22%
- 3: 36% → 32%
- 4: 48% → 40%
- 5: 60% → 48%
- 6: 68% → 52%
- Maximum DMG Mitigation was tweaked. (Old → New)
- June 19, 2024:
- Divergent Universe/Extrapolation was released.