RTI(∞) Tab

Road to Infinity refers to both the Road to Infinity challenge, and the tab it unlocks.

= RTI Tab = The RTI tab is unlocked by beating the Road to Infinity challenge. The tab contains 10 individual boosts which increase your stats or provide other benefits. These boosts are:


 * Physical
 * Mystic
 * Battle
 * Creating
 * TBS
 * God Crystal
 * SpaceDim Speed
 * Divinity
 * Building Speed
 * Creating Speed

The RTI tab is divided into two pages: Pets/Stats and Levels.

The Pets/Stats page shows the current boost levels, and allows you to assign Pets to work on RTI boosts. The Levels page allows you to assign clones to work here.

The boost levels are calculated using four primary inputs: Permanent levels, Temporary levels, Base multiplier, and RTI pets.

Permanent levels persist through rebirths, similar to Total Might, except that there is a separate Permanent level for each of the 10 boosts. These levels are the primary measure of your RTI progress. Permanent levels are obtained by rebirthing, based on your Temporary levels and the time spent in the current rebirth. The conversion rate increases by 0.25% per minute up to 100% (at 6 hrs 40 min), then by 0.1% per minute up to 300% at 40 hours. Permanent levels may be spent to buy additional RTI pet slots.

Temporary levels do not persist through rebirths. As with Permanent levels, there are 10 of these -- one for each RTI boost. Temporary levels are obtained by having clones work on RTI boosts (on the Levels page).

Base multiplier is a single value which goes from 0.00 to 1.00 based on the time spent in the current rebirth (0.01 per minute). If your RTI challenge score is over 100 points, then the Base multiplier may exceed 1.00.

The RTI tab begins with 2 RTI pet slots, and additional slots may be purchased by spending Permanent levels, up to a maximum of 8 slots. One pet of each class may be assigned to work in the RTI tab (up to the number of slots you have). Each class will improve the Temporary level speed and the overall boost level of one specific boost. Assassins and Defenders affect two boosts each; thus, 8 pets will cover all 10 boosts.

Putting it all together, you get boosts by assigning pets to work in RTI, by assigning clones to work in RTI, and by having longer rebirths (up to 40 hours). These boosts can become quite strong (e.g. +1000% to physical/mystic/battle, +70% build speed, and so on) with enough investment.

In addition, the Creating boost from RTI allows your pets to provide a stat multiplier to Creating. Without this, pets only provide stat multipliers to Physical, Mystic and Battle.

= Pets/Stats = Allows pets to be allocated, increasing the effect of specific RTI boosts. The total RTI multiplier for each boost can be seen here.

The overall formula to determine the multiplier boost is: $$1 + (\text{Temp Level Multi} \times \text{Perm Level Multi} - 1) \times \text{Pet Multi} \times \text{Time Multi}$$

The temporary and permanent level multipliers vary depending on the boost.

The pet multiplier is determined by which pets are equipped in the RTI tab.

The time multiplier starts at 0.00 and increases by 0.01 per minute after rebirth, up to a max of 1. This is increased by 2% (additively) per P.Baal defeated above P.Baal v100 in the RTI challenge. I.e.: $$\text{Time Multi} = \frac{\{ 0 \dots 100 \} \, \text{Minutes}}{100} \times \left( \frac{\text{RTI Score}}{50} - 2 \right)$$

Pets can be assigned to the RTI tab to increase the pet multis, and the leveling speed, of specific RTI boosts. This is determined by the pet's class, class level, and innate specialist bonus. Good RTI pets are pets that have a high class bonus, like Elf or Bottle. The pet multi is calculated using this formula: $$\text{Pet Multi} = \text{Class Level} + \left( \text{Class Level} \times \text{Specialist Bonus} \right)^{0.8}$$

For the purposes of this formula, the specialist bonus is capped at either 0.9 (for Blacksmiths and Alchemists) or 1.5 (other classes).

You start with 2 free slots for pets to be equipped into and you can purchase an additional 6 slots although the price is quite steep at 500k pet stones and 25k RTI permanent levels of each stat for each of the 6 purchasable slots. Alternatively you can also buy these extra slots with real money if you prefer at $4.99 each.

* Note that pets assigned to RTI automatically gain class exp.
 * Assassin: Boost Physical and Battle. Capped at a 1.5% class bonus.
 * Defender: Boosts Mystic and Creating. Capped at a 1.5% class bonus.
 * Adventurer: Boosts TBS. Capped at a 1.5% class bonus.
 * Alchemist: Boosts God Crystal (this is soft capped and will decrease 2%/day after 7 days). Capped at a 0.9% class bonus.
 * Blacksmith: Boosts Space Dim (this is soft capped and will decrease 2%/day after 7 days). Capped at a 0.9% class bonus.
 * Rogue: Boosts Divinity. Capped at a 1.5% class bonus.
 * Supporter: Boosts Building Speed. Capped at a 1.5% class bonus.
 * Mage: Boosts Creating Speed. Capped at a 1.5% class bonus.

= Levels = This tab contains the RTI elements to boost, each increasing a stat depending on its permanent and temporary levels.

Temporary levels are gained over time by distributing clones to a boost, and are reset on Rebirth. The time to upgrade a level is: $$\frac{(\text{level} + 1) \times 100\,000\,000}{\text{rti score} \times \text{pet speed} \times \text{clones}} $$

RTI score is the highest P. Baal defeated in an RTI challenge. If 100 or more, instead use: $$(\text{rti_score} \times 2 - 100)$$.

pet speed is the speed bonus given by pets in the Pets/Stats tab. This only applies to certain boosts, based on the pet's class. If applicable, it is equal to: $$ \frac{\text{class level} + (\text{evo bonus x class level})^{0.8}}{100}$$

Example: A CL11 Frog Supporter has a pet speed of: $$ \frac{\text{class level} + (\text{evo bonus x class level})^{0.8}}{100}$$ $$= \frac{11 + (5.511\% \times 100)^{0.8}}{100}$$ $$= \frac{11 + (5.511)^{0.8}}{100}$$ $$\approx \frac{11 + 3.91728}{100}$$ $$\approx \frac{14.91728}{100}$$ $$\approx 14.92\% \, \text{Building Speed RTI boost}$$

Permanent levels are gained on Rebirth, based on minutes since Rebirth (T) and temp levels L: $$T < 6\text{h}40\text{m} \implies \text{perm levels} = \frac{L \times T}{400} < L \times 100\% $$ $$6\text{h}40\text{m} \leq T < 40\text{h} \implies \text{perm levels} = L \times \left( \frac{T}{1\,000} + 0.6 \right) \leq L \times 300\%$$ $$T >= 40\text{h} \implies \text{perm levels} = L \times 300\%$$



Components
There are 10 different RTI components, granting boosts based on temp levels LT and perm levels LP:

$$\left( 1 + \frac{L_{T}}{1\,250} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{25} \right) \times 100\%$$ $$\left( 1 + \frac{L_{T}}{1\,250} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{25} \right) \times 100\%$$ $$\left( 1 + \frac{L_{T}}{1\,250} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{25} \right) \times 100\%$$ $$\left( 1 + \frac{L_{T}}{12\,500} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{250} \right) \times 100\%$$ $$\left( 1 + \frac{L_{T}}{1\,250} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{25} \right) \times 100\%$$ $$\left( 1 + \frac{L_{T}}{3\,300} \right) \times \left( 1 + \frac{{L_{P}}^{0.3} \times 3}{200} \right) \times 100\%$$ $$\left( \left( 1 + \frac{L_{T}}{3\,300} \right) \times \left( 1 + \frac{{L_{P}}^{0.3} \times 3}{200} \right) - 10 \right)^{0.8} \times 100\% + 1000\%$$ $$\left( 1 + \frac{L_{T}}{5\,000} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{100} \right) \times 100\%$$ $$\left( \left( 1 + \frac{L_{T}}{5\,000} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{100} \right) - 10 \right)^{0.8} \times 100\% + 1000\%$$ $$\left( 1 + \frac{L_{T}}{5\,000} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{100} \right) \times 100\%$$ $$\left( 1 + \frac{L_{T}}{10\,000} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{200} \right) \times 100\%$$ $$\left( 1 + \frac{L_{T}}{10\,000} \right) \times \left( 1 + \frac{{L_{P}}^{0.3}}{200} \right) \times 100\%$$
 * Physical: Increases your Physical stat. Multiplies RTI bonus with:
 * Mystic: Increases your Mystic stat. Multiplies RTI bonus with:
 * Battle: Increases your Battle stat. Multiplies RTI bonus with:
 * Creating: Adds Creating as a stat you gain from pets. This is the average of you pet's physical, mystic, and battle stats multiplied by your RTI Creating multiplier. Multiplies RTI bonus with:
 * TBS: Increases your TBS critical damage. Multiplies RTI bonus with:
 * God Crystal: Increases the god power gained from God Crystal. Multiplies RTI bonus with:
 * After 1000% bonus:
 * There is a penalty to rebirths longer than 7 days of 2% per day. This means after 57 days into a rebirth, God Crystal RTI will no longer give a bonus.
 * SpaceDim Speed: Increases the leveling speed of all SpaceDim elements. Multiplies RTI bonus with:
 * There is a penalty to rebirths longer than 7 days of 2% per day. This means after 57 days into a rebirth, SpaceDim RTI will no longer give a bonus.
 * After 1000% bonus:
 * Divinity: Increases your divinity gain from the divinity generator. Multiplies RTI bonus with:
 * Building Speed: Increases your building speed. Multiplies RTI bonus with:
 * Creating Speed: Increases your creating speed. Multiplies RTI bonus with:

= Strategy = Each of the elements on the RTI tab boosts a source of power, but some should often take priority over others depending on playstyle and the challenge you are in. These are ranked in the order many in the community consider order of importance, but some will come down to opinion.
 * SpaceDim: One of the most important elements, and spending time leveling up perm levels on this element will be very beneficial in the long run for many areas of the game due to the versatility of SpaceDim bonuses.
 * Building Speed and Creating Speed: Because these are multipliers to your BS/CS, their value to you is largely dependent on your other sources of BS and CS. These become very powerful and can somewhat replace some of the need to purchase BS/CS with God Power.
 * Divinity: Being a multiplier to Divinity gain, this one is very powerful. Very helpful for challenges like DGC, UfCC, and others requiring large amounts of Div.
 * God Crystal: This one appears to start out somewhat weak, but can really benefit you in longer rebirths. Not super important, but is another great source of GP.
 * Creating: Once you unlock RTI, Creating will often be your main source of Attack power and max HP. Because of this, boosting it any way you can will allow you to take down stronger gods.
 * Mystic: A boost to your main source of surviving fights with gods? Of course you should level this one up! Not as important as the other bonuses listed above, really becomes strong with a pet slotted into this stat.
 * TBS: Not crazy, but provides a nice boost in power. Very helpful for climbing challenges like the RTI challenge.
 * Physical/Battle: These two stats really get left in the dust in longer rebirths. Still level them a bit for some perm levels since Battle has some use in shorter rebirths for regen after completing MQC and Physical can be good for NDC and other creation-limited challenges.

As of March 20, 2023, the best RTI pet for each class is: If you have Gray evo'd, the Children can make good alternatives to many RTI pets as they have a 0.8% class level bonus.
 * Assassin: Carno, then Lucky Coin or Mimic - this one is less important so anything goes
 * Defender: Mysterious Egg or Gnome
 * Adventurer: Seed or Aether. Portal is the best one that doesn't belong in growth camp. Earth Eater can be a good option if you don't have the ability/motivation to keep it fed for camps.
 * Alchemist: Bottle, then Void, then Taco, then Rose
 * Blacksmith: Elf or Bat. Generally worth putting the best blacksmith you have in here.
 * Rogue: Undine, or Lucky Coin with a token improve. Cardboard Cat is the third best.
 * Supporter: Salamander, then Hourglass, then Flying Cloud (the best one you're willing to go without in dungeons/camps)
 * Mage: Sylph or Basilisk, then Balrog.

Because RTI bonuses depend on class bonuses, you should not place wildcard pets or pets that are evolved to non-ideal classes in RTI if you have any alternatives available.

Pets will also gain XP while in RTI. They earn Class XP only, with a formula of (Growth (maxed at 500k) / 50 * Mimic Multi) per hour. Before Dojo, if a pet has an Ego Sword (or higher/lower tier) equipped, they will earn Class XP instead of the Dungeon XP it normally provides. Since Mimic gives a boost of 5% * CL to Class XP gains for pets in RTI, this makes Mimic a good choice for the Assassin slot. This has a trade-off since Mimic can become one of the strongest damage-dealing pets with enough Mimic Points