Latest revision as of 09:53, 3 March 2026

Expedition Fleet Composition & Support Mechanics

This page explains how fleet composition affects Expedition results. Formulas below are simplified to help players estimate maximum potential.

All bonuses use diminishing returns and have maximum caps.

1. Return Type Specialist Ships (Max +10%)

Certain ships increase the chance of specific reward types.

Reward Type	Specialist Ship	Max Bonus
Relics	Orbital Refinery	+10%
Monuments	Advanced Recycler	+10%
Nano	Support Vessel	+10%
Tech Boosts	Frigate	+10%

Rules:

Only one specialist ship type applies per reward roll.
More ships = higher bonus.
Gains slow down at higher ship counts.
Maximum possible bonus is +10%.

Approximate scaling formula:

bonus ≈ 10% × ( specialistShips / (specialistShips + 150~200) )

This means:

~150–200 ships → about +5%
~500 ships → about +7–8%
1000 ships → about +8–9%
The bonus never exceeds +10%

This helps estimate how close you are to the cap.

2. Probe – Find Chance Bonus (Max +10%)

Probes increase the overall chance of finding anything.

Affects whether something is found.
Does not affect reward type.
Maximum bonus: +10%.

Approximate scaling formula:

bonus ≈ 10% × ( probes / (probes + 150) )

Examples:

50 probes → ~2–3%
150 probes → ~5%
500 probes → ~7–8%
1000 probes → ~9%

3. Exploration Ship – Quantity & Quality Bonus (Max +100%)

Exploration Ships improve:

Amount of resources or ships found
Reward quality tier

This bonus grows logarithmically.

Formula (exact):

bonus = MIN(100%, log₂(explorerCount + 1) × 10%)

This means:

1 ship → ~10%
3 ships → ~20%
7 ships → ~30%
31 ships → ~50%
127 ships → ~70%
511 ships → ~90%
1023 ships → 100% (cap)

Each doubling of ships adds roughly +10%.

4. Combat Ship Discovery Logic

Combat ships influence which ships can be discovered.

Sending low-tier ships → low-tier discoveries
Sending high-tier ships → unlocks higher-tier discovery pools

Examples:

Kamikaze → Kamikaze / Fighter-class discoveries
Battleship → Destroyer / Frigate-class discoveries

5. Overall Fleet Size

Larger fleets:

Increase total resource volume
Increase number of ships recovered

Fleet size affects volume, not probability caps.

6. Cargo Requirement

Cargo ships determine how much you can bring back.

Insufficient cargo capacity results in:

Lost resources
Lost recovered ships

7. How Bonuses Stack

The following stack together:

Probe bonus (find chance)
Specialist ship bonus (specific reward type)
Exploration Ship bonus (quantity & quality)

All caps still apply.

Strategy Insight

Because of diminishing returns:

The first 100–200 specialist ships give the biggest impact.
Extremely large stacks give smaller additional gains.
Exploration Ships benefit strongly from doubling counts.

Balanced fleets are usually more efficient than extreme stacking.

@@ Line 1: / Line 1: @@
 = Expedition Fleet Composition & Support Mechanics =
-This page describes how fleet composition affects Expedition outcomes, including:
+This page explains how fleet composition affects Expedition results.  Formulas below are simplified to help players estimate maximum potential.
-* Return-type specialist ships (Relic, Monument, Nano, Tech Boost)
+All bonuses use diminishing returns and have maximum caps.
-* Probe (Find Chance bonus)
-* Exploration Ship (Quantity & Quality bonus)
-* Combat ship discovery logic
-* Fleet size and cargo impact
-All bonuses use diminishing returns and are capped.
+== 1. Return Type Specialist Ships (Max +10%) ==
+Certain ships increase the chance of specific reward types.
-== 1. Return Type Specialists (Max +10%) ==
-Each expedition reward type can be influenced by a specific support ship.
-Only '''one ship type applies per outcome roll'''.  If multiple specialist ships are present, only the one matching the rolled reward type is used.
 {| class="wikitable"
 !Reward Type
 !Specialist Ship
-!Effect
+!Max Bonus
 |-
 |Relics
 |Orbital Refinery
-|Increases relic return rate
+| +10%
 |-
 |Monuments
 |Advanced Recycler
-|Increases monument return rate
+| +10%
 |-
 |Nano
-|Planetary Harvester
+|Support Vessel
-|Increases nano return rate
+| +10%
 |-
 |Tech Boosts
 |Frigate
-|Increases tech boost return rate
+| +10%
 |}
+'''Rules:'''
-=== Bonus Formula (1–1000 ships, capped at +10%) ===
+* Only one specialist ship type applies per reward roll.
-Let:
+* More ships = higher bonus.
- n = number of matching specialist ships sent
+* Gains slow down at higher ship counts.
- cap = 0.10 (10%)
+* Maximum possible bonus is +10%.
- k = ramp constant (controls scaling speed)
-  bonus(n) = cap × ( n / (n + k) )
+'''Approximate scaling formula:'''
+  bonus ≈ 10% × ( specialistShips / (specialistShips + 150~200) )
+This means:
- finalRate = baseRate × (1 + bonus(n))
+* ~150–200 ships → about +5%
-Recommended k values:
+* ~500 ships → about +7–8%
+* 1000 ships → about +8–9%
+* The bonus never exceeds +10%
-* Orbital Refinery (Relics): k = 220
+This helps estimate how close you are to the cap.
-* Advanced Recycler (Monuments): k = 170
-* Planetary Harvester (Nano): k = 120
-* Frigate (Tech Boosts): k = 150
-This provides smooth scaling, diminishing returns, and a hard +10% cap.
 == 2. Probe – Find Chance Bonus (Max +10%) ==
-Probes increase the overall chance of discovering '''anything''' during an expedition (events, resources, ships).
+Probes increase the overall chance of finding anything.
-Only Probe count is considered for this effect.
+* Affects whether something is found.
+* Does not affect reward type.
+* Maximum bonus: +10%.
-=== Formula ===
+'''Approximate scaling formula:'''
-Let:
+  bonus ≈ 10% × ( probes / (probes + 150) )
-  n = number of Probes sent
+Examples:
- cap = 0.10
- k = 150
- bonus(n) = cap × ( n / (n + k) )
- finalFindChance = baseFindChance × (1 + bonus(n))
+* 50 probes → ~2–3%
-The bonus approaches but never exceeds +10%.
+* 150 probes → ~5%
+* 500 probes → ~7–8%
+* 1000 probes → ~9%
 == 3. Exploration Ship – Quantity & Quality Bonus (Max +100%) ==
-Exploration Ships increase:
+Exploration Ships improve:
-* Quantity of findings (resources and ships)
+* Amount of resources or ships found
-* Quality tier probability of rewards
+* Reward quality tier
-This effect scales logarithmically and caps at +100%.
+This bonus grows logarithmically.
-=== Formula (Implementation) ===
+'''Formula (exact):'''
-<syntaxhighlight lang="typescript">
+ bonus = MIN(100%, log₂(explorerCount + 1) × 10%)
-private calculateExplorerBonus(explorerCount: number): number {
+This means:
-    if (explorerCount === 0) return 0;
-    const rawBonus = Math.log2(explorerCount + 1) * 10;
+* 1 ship → ~10%
-    return Math.min(100, rawBonus) / 100;
+* 3 ships → ~20%
-}
+* 7 ships → ~30%
-</syntaxhighlight>
+* 31 ships → ~50%
+* 127 ships → ~70%
+* 511 ships → ~90%
+* 1023 ships → 100% (cap)
-=== Mathematical Representation ===
+Each doubling of ships adds roughly +10%.
- bonus(n) = min(100, log2(n + 1) × 10) / 100
-Applied as:
- finalQuantity = baseQuantity × (1 + bonus)
- qualityWeight = baseQualityWeight × (1 + bonus)
-This bonus affects both resource amounts and reward tier distribution.
 == 4. Combat Ship Discovery Logic ==
-Combat ship types influence which ships can be discovered during expeditions.
+Combat ships influence which ships can be discovered.
-The discovery pool depends on the highest-tier combat ship sent.
+* Sending low-tier ships → low-tier discoveries
+* Sending high-tier ships → unlocks higher-tier discovery pools
 Examples:
-* Sending Kamikaze allows discovery of Kamikaze or Fighter-class ships.
+* Kamikaze → Kamikaze / Fighter-class discoveries
-* Sending Battleship enables discovery of higher-tier ships such as Destroyers or Frigates.
+* Battleship → Destroyer / Frigate-class discoveries
-Higher-tier ships unlock access to stronger discovery pools.
+== 5. Overall Fleet Size ==
+Larger fleets:
-== 5. Overall Fleet Size Impact ==
+* Increase total resource volume
-Total fleet size increases:
+* Increase number of ships recovered
-* Total resource volume discovered
+Fleet size affects volume, not probability caps.
-* Total ships recovered
-Larger fleets yield larger results, subject to expedition limits.
 == 6. Cargo Requirement ==
-Cargo ships are required to retrieve discovered resources and ships.
+Cargo ships determine how much you can bring back.
-If insufficient cargo capacity is sent:
+Insufficient cargo capacity results in:
-* Excess resources are lost
+* Lost resources
-* Excess recovered ships cannot be returned
+* Lost recovered ships
-Sending additional cargo ships increases maximum retrievable loot.
+== 7. How Bonuses Stack ==
+The following stack together:
-== 7. Stacking Rules Summary ==
-* Probe bonus applies to overall find chance (max +10%).
-* Specialist return-type bonus applies only to its matching reward roll (max +10%).
-* Exploration Ship bonus affects quantity and quality (max +100%).
-* Only one specialist ship type applies per reward roll.
-* Effects from Probe, Specialist ship, and Exploration Ship stack multiplicatively.
-* Combat ships determine ship discovery pool.
-* Cargo capacity limits how much can be brought back.
-== 8. Example Fleet Scenario ==
+* Probe bonus (find chance)
-Fleet sent:
+* Specialist ship bonus (specific reward type)
+* Exploration Ship bonus (quantity & quality)
-* 200 Orbital Refineries
+All caps still apply.
-* 150 Probes
-* 50 Exploration Ships
-* 300 Frigates
-* 400 Cargo Ships
-If expedition rolls '''Relics''':
+== Strategy Insight ==
+Because of diminishing returns:
-* Orbital Refinery bonus applied to relic rate
+* The first 100–200 specialist ships give the biggest impact.
-* Probe bonus applied to find chance
+* Extremely large stacks give smaller additional gains.
-* Explorer bonus applied to quantity & quality
+* Exploration Ships benefit strongly from doubling counts.
-* Frigate bonus ignored (not a Tech roll)
-* Cargo capacity determines final loot returned
-This system rewards strategic fleet composition while preventing runaway scaling.
+Balanced fleets are usually more efficient than extreme stacking.