My phase 3 advancements are:
+10 Skip Level (max)
+2 Tech
+17 Merc Camp Visibility (max)
+85% Money from Bonuses
+7 Market Visibility (max)

All the Phase 3 advancements are not very useful late-game regardless so I just took some quality-of-life ones to hit the requisite 25,000 AP (mine comes out to 25,061 AP).

Other than that I do pretty much exactly what Mathematician does. The one other difference is I rode Hex Earth until I ran out of Skip Level + Inspire Merc powers while he is saving his (for a future patch?). Probably good arguments on each side there.

Just did my 11th super-ascension. This time I'm planning to record my precise AP investment order along with level time.
+175% AP
4 extra artifact slots

0 for me

I guess the question is why do more than 1? Are you trying to get faster digging? Just for the lulz?

12.5 days 10th super, 1.5 extra days battling for IM power.

Updated

5e 8-10% nerf from rare to epic hospital boost sucks but why no time warp ivano ?

Most of my gameplay I have no fourth boy, so I hate giving up two slots to actives. That said. one just hadn't come up for me till now. TW is my next lego plan.

@knaan

Oops I missed your question. Yes I mostly play with 2h idle time cap. 2h is usually enough. I rarely need to wait for more than 2h. With the way I play, waking up with 10h of idle progress won't help me more than waking up with 2h of idle progress.

Just did my 12th super-ascension. This is my first sub-2-weeks super-ascension. As Arcturus suggested, this time I recorded my AP investments in detail. I also recorded the boosts I used for each level. By boost, I mean powers, active artifacts, clan request armies.

Boosts are recorded inside the brackets.
eSACa=my epic supercharge army camp artifact
iTWa=my insane time warp artifact
cra=clan request army
drFCp=daily reward door gave me free cache power, and I was forced to use it immediately due to having at least 5 already
similar for drSACp, drSMp, drSLp, drFBp

Short summary:
6th Jan: 11th super-ascension
8th Jan: reach phase 2
14th Jan: reach phase 3
15th Jan: first ascension
16th Jan: reach phase 4
19th Jan: 12th super-ascension

Detailed summary:

6th Jan 2023
11th super-ascension
+175% AP
insane time warp, army cache boost
legendary alloy value, army camp boost
upgrading-to-epic supercharge army camp
rare hospital boost

Collect clan war rewards: -30% artifact cooldown, +10% alloy sell value, -10% merc cost

Tutorial 0m
Huruey 1h35m (drFCp)
Joint Strike 0%->5%
Floating 1h17m (iTWa)
Joint Strike 5%->11%
War of the World 5h21m (cra:6.03M)
Joint Strike 11%->15%
Increased Army Camp Production 0%->20%
UrsaLuna 4h27m (cra:3.63M)
Joint Strike 15%->19%
Increased Army Camp Production 20%->30%
Final Earth 8h (cra:2.48M,iTWa)

7th Jan
Joint Strike 19%->21%
Drakemor 4h57m (drSACp,cra:27M)
Additional Mercenaries 0%->12.5%
Peloponnesian 4h4m (cra:2.93M)
Joint Strike 23%->25%
Additional Mercenaries 12.5%->17.5%
Increased Army Camp Production 30%->40%
KPX 9h (eSACa,cra:60M)

8th Jan
AddMerc 17.5%->25%
Increased Army Camp Production 40%->50%
Siege 6h (iTWa,eSACa)
Additional Mercenaries 25%->27.5%
unlock phase 2
autoconquer 0%->5%
get 100AP from challenge levels
Additional Mercenaries 27.5%->32.5%
Increased Army Camp Production 50%->60%
Japan 13h (drFCp,cra:6.96M,eSACa)

9th Jan
Additional Mercenaries 32.5%->42.5%
CCC 12h (iTWa,eSACa,drSACp,cra:321M)
Additional Mercenaries 42.5%->50%
Geopolitics 9h (iTWa,eSACa,cra:265M)

10th Jan
Additional Mercenaries 50%->57.5%
Breaking 13h (eSACa,iTWa,cra:288M)
Additional Mercenaries 57.5%->65%
Far Land 12h (drSLp,eSACa,cra:611M)

11th Jan
Mercenary Discount 0%->45%
Reconquest 8h (eSACa,iTWa,cra:433M)
Additional Mercenaries 65%->72.5%
Replay and quickly abort early levels to gain around 10 extra AP
Mercenary Discount 45%->50%
Fort Harbor 6h (eSACa,cra:761M)
Additional Mercenaries 72.5%->80%
Europe1066AD 5h7m (drSMp,iTWa)

12th Jan
Additional Mercenaries 80%->87.5%
AD1045 14h (eSACa,iTWa)
Additional Mercenaries 87.5%->97.5%
Old Town 5h43m (eSACa)
Additional Mercenaries 97.5%->105%
Orbis 7h (drFCp)

13th Jan
Additional Mercenaries 105%->115%
Scandinavia 2h11m (eSACa,iTWa)
Additional Mercenaries 115%->122.5%
Asiapop 9h (eSACa)
Additional Mercenaries 122.5%->130%
Increased Alloy Sell Values 0%->15%
Africa 7h (iTWa)

14th Jan
Increased Alloy Sell Value 15%->100%
Hardened Far Land 5h28m (eSACa,iTWa)
Additional Mercenaries 130%->142.5%
Rise&Fall 5h8m (eSACa)
Additional Mercenaries 142.5%->150%
Army Camp Discounts 0%->2%
Hardened Old Town 7h (drFCp)
Auto-Upgrade Army Camps 0%->5%
get 400AP from challenge levels
Increase Crafter Speed 0%->50%
Army Camp Discounts 2%->22%
Hardened Scandinavia 1h40m (eSACa,iTWa)
Increased Cache Resources 0%->30%
unlock phase 3
Can Skip Levels 0->4
Australia 9h (none)

15th Jan
Can Skip Levels 4->5
Increased Cache Resources 30%->100%
Increased Ore Sell Values 0%->55%
Europe Huge 5h31m (eSACa,iTWa)
Can Skip Levels 5->7
Hardened Scandinavia 5h11m (eSACa)
Can Skip Levels 7->9
Increased Army Camp Production 60%->110%
Hardened Old Town 5h18m (none)
Can Skip Levels 9->10
ascend
Japan 56m (drSACp)
Start With Tech 0->1
Scandinavia 52m (eSACa,iTWa)
Start With Tech 1->2
Hardened Old Town 6h (none)

16th Jan
Start With Tech 2->4
Increased Money from Bonuses 0->20%
Europe Huge 5h26m (eSACa)
Increased Money from Bonuses 20%->80%
Hardened Scandinavia 4h43m (none)
Increased Money from Bonuses 80%->100%
unlock phase 4
Better Hospitals 0%->25%
Hardened Old Town 40m (none)
Better Hospitals 25%->30%
Hardened Old Town 50m (none)
ascend
Japan 32m (eSACa)
Advanced Auto-Conquer 0%->5%
Hardened Old Town 1h31m (none)
Better Hopitals 30%->50%
Increased Army Camp Production 110%->250%
Scandinavia 17m (drFCp,iTWa)
Hardened Old Town 37m (none)
Faster Digging 0%->20%
Europe Huge 4h9m (eSACa)
Faster Digging 20%->35%

17th Jan
Hardened Scandinavia 8h (none)
Faster Digging 35%->50%
ascend
Japan 1h6m (none)
Scandinavia 1h41m (none)
Europe Huge 1h59m (eSACa,iTWa)
Hardened Old Town 41m (none)
get 100AP from challenge levels
Hardened Old Town 43m (none)
Simultaneous Levels 1->2
Hardened Old Town 29m (none)
Hardend Old Town 42m (none)
Increased Cache Armies 0%->10%
Hardened Scandinavia 2h30m(eSACa)
ascend
Increased Cache Armies 10%->45%
Japan 45m (none)
Scandinavia 1h51m (none)
Hardened Old Town 2h2m (none)
Increased Cache Armies 45%->65%
Increased Idle Time 0min->30min
Hardened Scandinavia 1h16m(drFBp)
Increase Cache Armies 65%->80%
Europe Huge 4h54m (none)
Hardened Scandinavia 4h9m (none)

18th Jan
Increased Cache Armies 80%->95%
Hardened Old Town 1h13m (none)
Increased Cache Armies 95%->100%
Statistics 0->4
Increased Ore Sell Values 55%->100%
Increased Cache Money 0%->100%
Increased Army Camp Production 250%->280%
Cache Visibility 0->5
Hardened Rise&Fall 2h (none)
Cache Visbility 5->50
Hardened China 1h39m (eSACa,iTWa)
Hardened Far Land 1h20m (none)
ascend
Japan 4h1m (none)
Hardened Old Town 20m (none)
Scandinavia 1h1m (none)
Hardened Scandinavia 2h5m (none)
Hardened Far Land 2h2m (none)
Simultaneous Levels 2->3
Europe Huge 4h28m (none)
Auto-Draft N/A->0.5
Cache Visibility 50->55
Hardened Rise&Fall 37m (none)
ascend
Auto-Draft 0.5->0
Cache Visibility 55>140
Japan 1h12m (none)
Hardened Old Town 11h (none)

19th Jan
Cache Visibility 140->200

12th super-ascension
+175% AP
insane time warp, army cache boost
legendary alloy value, army camp boost
epic supercharge army camp
rare hospital boost
rare territory money boost

Thanks Mathematician, for taking the time to give us this detailed, useful, information

@math "Hardened Rise&Fall 37m (none)" How? My best time to the first market is 49 minutes with SAC.

@Ivan0

By using the army caches on the map. They're positioned pretty well. Special thanks to pkmx on discord who spent some time exclusively studying this level and shared some insights on the official discord idle channel.

Check pkmx's discord message on 31st December in the idle discord channel if you're interested. It has details like exactly how many armies do you get from each important army cache on the Hardened Rise&Fall level. It was the conversation with pkmx around that time that prompted me to add Hardened Rise&Fall into my list of AP grinding levels.

9.5 days 11th super, need more slots, keep dumping epics. Could have dug for four more days and got a Lego but decided I'd rather just get going to the next super.

impressive Ivan, thanks to the pic I got to see my first Insane artifact,
it true! they really do exist!

After 50 days and collecting 134.020 AP, I now click on the SUPER ASCEND button for the 2nd time, choosing +25% AP.

50d from 1st to 2nd SAsc is insane. Congrats

7.5 days 12th super, yay more slots, no dumping epics.

Wow. In 7.5 days, you got 1 new epic (and this is surprisingly not the TS from HCCC) and 4 new rares. Thats impressive!