Exponential Idle Simplified Guides

Previous: Theory 8 and R9

Synopsis

This is it. The final theory. The final story chapter. Good job getting here. Good luck with T9. Endgame awaits

When you've completed it, welcome to endgame. This page contains a some extra info for endgame, and strats further on in theories. Have fun seeing your rates slowly drop closer and closer to 0

PLEASE READ GENERAL GUIDE PAGE BEFORE READING THIS

Disclaimer: This is a simplified version of the guide. The guide will skip over things, and is not completely optimal. Click here for a more polished, in-depth, and optimal guide.

Theory 9 - Convergence Test

Do T9 before 50k f(t)

General tips

There is no guide for T9. The fun is in solving it yourself. Good luck!

Useful guide pages

Graduation routing past ee20k

There are no set grad routes past ee20k

The graduation calculator is a great tool to be able to find your next grad point. To use this tool, enter your phi and tau, and it will give you our next grad point. When you reach that grad point, enter the information again. It will give you a new grad point. Continue this until the calculator gives you your correct ft. That's where you should grad

If you overshoot your grad point the grad calc will often tell you to go to the next one, and the next one, over and over. The grad calc is not perfect. Use common sense as well

At later ft's (50k+) the grad calc loses accuracy. At ft's like those, you have to estimate good grad marks yourself. Using the student calculator can help you calculate bigmas and skipmas. Try to grad on bigmas and not on skipmas

A guide on how to use the grad calc is here

Bigmas and Skipmas

A bigma is a student that provides more phi then usual, usually over 1e9 more phi.

A skipma is a student that provides no extra phi

When deciding when to graduate, calculate your optimal student distribution with the amount of students you would have after a graduation. Then calculate 1 minus that amount. If the values are far apart (usually over 1e9) you are on a bigma. If the amount doesn't change, meaning you have unspent students in the optimal theory distribution, you are on a skipma

Skipma list

Here is a list of skipmas:

Always skipped 29.8k, 30.2k, 30.8k, 31.4k, 32.0k, 32.6k, 33.2k, 33.8k, 34.2k, 34.6k, 35.4k, 36.2k, 37.0k, 37.8k, 38.6k, 39.0k, 39.6k, 40.6k, 41.6k, 42.6k, 43.6k, 44.2k, 44.6k, 45.0k, 45.8k, 47.0k, 48.2k, 49.0k, 49.4k, 50.2k, 50.6k, 51.2k, 52.2k, 53.2k, 54.6k, 56.0k, 56.8k, 57.4k, 58.8k, 60.2k, 60.6k, 61.8k, 63.4k, 65.0k, 65.8k, 66.2k, 66.6k, 67.8k, 68.2k, 69.8k
High t (5x) 62.4k, 63k
Mid-High t (1x +) 64.2k
Low-Mid t (1x -) 58.2k, 59.4k
Low-Mid t (0.5x) 64.6k

Past 70k you will need to calculate skipmsa yourself

Supremacy equations past 48k

Bet you didn't think you'd see this here! After getting all supremacy upgrades, the supremacy formulae changes. These new formulae do not require a manual supremacy. They are:

Past 48k

costUpS(1)<e52&&psi+dpsi>e52)||(costUpS(3)<e411&&psi+dpsi>e411)||(costUpS(3)<e511&&psi+dpsi>e511)||(costUpS(3)<e531&&psi+dpsi>e531) ||(costUpS(3)<e551&&psi+dpsi>e551)||(costUpS(3)<e571&&psi+dpsi>e571)

Past 52k:

(costUpS(1)<e52&&psi+dpsi>e52)||(costUpS(3)<e511&&psi+dpsi>e511)||(costUpS(3)<e571&&psi+dpsi>e571)

Past 58k - 60k:

(costUpS(1)<e52&&psi+dpsi>e52)||(costUpS(3)<e571&&psi+dpsi>e571)

Distribution Overpushing

You goal is to get the maximum tau as fast as possible. Before R9, it didn't matter what order you push theories in, pushing T2 to 1e100 and then pushing T5 to 1e100 thkes the same time, however, now that R9 boosts theories based on students, to maximise taudot you have to push theories as fast as you can to get R9 quickly.

Therefore, the greedy way to push theories is obvious, push the fastest theory to get more R9. This is immediately obvious and is not that bad

However, there is another way. R9 affects all theories differently. It affects some theories more then others. This means that the greedy way is not actually the best way to push theories. This is called overpushing.

2 initial points for distribution overpushing

  1. Pushing a theory later is faster than pushing the theory now, because you will have more students later which means more R9 boost
  2. R9 effects different theories differently. For example, R9 effects T5 10x more than it affects T2.

So, if we pushed T5 now, it would be inefficient, because we could have pushed T5 later and gotten more speed. Pushing T2 now is still worse than pushing it later, but because it is effected so little by R9, the difference is smaller. So you should push T2 now and T5 later

Example:

TheoryNow Later
T2 0.1 \(\tau\)/h0.11 \(\tau\)/h
T5 0.1 \(\tau\)/h0.2 \(\tau\)/h

Option 1: T2 now, T5 later
Rates: 0.1 for T2 and 0.2 for T5. average is 0.15

Option 2: T5 now, T2 later
Rates: 0.11 for T2 and 0.1 for T5. average is 0.105

Pushing some combination of T2 and T5 just puts you somewhere between these 2 values, thus you should push T2 now and T5 later.

Note that this isn't always true, eventually T2 will get so slow that it's actually better to do T5, because T2 just takes ages and you'll get nowhere, therefore, there are specific ratio's for each theory depending on how much they are affected by R9. Therefore, we have created ratios to tell you how much you should overpush each theory

The overpushing ratios are as follows

You should push the theory which has the highest \(\tau\)/h * ratio

Cashing in

A way to describe distribution overpushing is that overpushing "stores energy". Short term, distribution overpushing is terrible, as it just means you are pushing the wrong theory. Thus distribution overpushing "stores energy" that is used later. However, this is only good if you do use it later. As you get further into the game, the time it takes gets ridiculous, and you may want to cash in all that stored energy.

Cashing in refers to switching from distribution overpushing to pushing theories the greedy way. This is faster short term, but slower long term, however, the are more scenarios you'd want to do it:

  1. If you are planning on quitting exponential idle (don't do that!)
  2. If you are going for leaderboard positions, cashing in can get you high spots quickly
  3. Cashing in is not instant, and lategame it can take years to fully cash in. For example, for the top players who are overpushing, it could take up to 5 years to fully cash in. At this point, cashing in is probably the best option. This happens before that point too. Perfect ratios at 80k ft can take up to a year to cash in

Extra strats!

T1

There is a more advanced strat for T1 known as T1SolarXLII which is found here

Other than that, there are no new strats. T1ratio or T1SolarXLII all the way

T2

Past full milestones you can either Autobuy all or, better still do the strat T2MC

✔️ - Always buy, ❌ - Never buy

T2MC

var Pub Multi < 1150 Pub Multi 1150-2250 Pub Multi 2250-2900 Pub Multi 2900-4650 Pub Multi > 4650
\(q_1\) & \(r_1\) ✔️ ✔️ ✔️ ✔️
\(q_2\) & \(r_2\) ✔️ ✔️ ✔️
\(q_3\) & \(r_3\) ✔️ ✔️
\(q_4\) & \(r_4\) ✔️

T3

After 1e250 you should be doing the strat T3noC11C13C21C33d:

T3noC11C13C21C33d

\(b_1\) When cost is \(\frac{1}{8}\) of \(c_{31} cost\)
\(b_2\) When cost is \(\frac{1}{4}\) of \(min(c_{12}, c_{22}, c_{32})\) cost
\(b_3\) When cost is \(\frac{1}{8}\) of \(c_{23}\) cost
\(c_{11}\) Never buy
\(c_{12}\) Always buy
\(c_{13}\) Never buy
\(c_{21}\) Never buy
\(c_{22}\) Always buy
\(c_{23}\) Always buy
\(c_{31}\) Always buy
\(c_{32}\) Always buy
\(c_{33}\) Never buy

Finally at 1e350 you should swap to T3SNAX2, strat courtesy of the great helpers Snaeky and XLII. Note that this strategy was made for QOL theory compatibility, which is why we have these weird ratio's

T3SNAX2

var Recovery Tau gain
\(b_1\) When cost is \(\frac{1}{10}\) of \(\rho_1\) Never buy
\(b_2\) When cost is \(\frac{1}{3}\) of \(\rho_2\) When cost is \(\frac{1}{3}\) of \(\rho_2\)
\(b_3\) When cost is \(\frac{1}{5}\) of \(\rho_3\) When cost is \(\frac{1}{5}\) of \(\rho_3\)
\(c_{11}\)Never buy Never buy
\(c_{12}\)When cost is \(\frac{1}{100}\) of \(\rho_2\)Always buy
\(c_{13}\)Never buy Never buy
\(c_{21}\)Never buy Never buy
\(c_{22}\)Always buy When cost is \(\frac{1}{8}\) of \(\rho_2\)
\(c_{23}\)Always buy Always buy
\(c_{31}\)Always buy Always buy
\(c_{32}\)Always buy Always buy
\(c_{33}\)When cost is \(\frac{1}{10}\) of \(\rho_2\) When cost is \(\frac{1}{10}\) of \(\rho_2\)

T4

After 1e275 the best strategy if T4d66noMod:

The pub multi for T4d66noMod is 3.5 - 4.5

T4d66noMod

var Recovery Tau gain
\(c_1\)Never buy Never buy
\(c_2\)Never buy Never buy
\(c_3\)Always buy Always buy
\(c_4\)Never buy Never buy
\(c_5\)Never buy Never buy
\(c_6\)Never buy Never buy
\(q_1\)When cost is \(\frac{1}{15}\) of \(min(q_2, c_3) cost\)When cost is \(\frac{1}{15}\) of \(min(q_2, c_3) cost\)
\(q_2\)Always buy When cost is \(\frac{2}{3}\) of \(min(q_2, c_3) cost\)

T5

With T5, the best strat is always T5AI

T6

T6noC34d (or T6AInoMod) is the best strat from here on out, except for T6AI which is described here

T7

after e300 you should do T7Playspqcey, which is equivalent to T7Playspqceyinfinity or the following chart:

T7PlaySpqcey

\(q_1\)When \(\frac{1}{4}\) of \(c_6\) cost
\(c_1\)Never buy
\(c_2\)Never buy
\(c_3\)When \(\frac{1}{10}\) of \(c_6\) cost
\(c_4\)When \(\frac{1}{10}\) of \(c_6\) cost
\(c_5\)When \(\frac{1}{4}\) of \(c_6\) cost
\(c_6\)Always buy

T8

There is a more advanced strat for T8 known as T8Solarswap which is found here

Next: Custom Theories