Crystal Mine

Details:

• Crystal is collected and then processed at the Crystal Mine in your colony.
• Gathered from the Planet's surface, crystal is required to construct powerful fleets, and to research advanced technology upgrades.
• Upgrading your Crystal Mine will allow you to produce a greater amount of crystal, fueling your expansion.
• If your storage capacity is overwhelmed, crystal production will temporarily cease.
• "Not all information is present in the table below."
• Like the Gas Mine and Metal Mine; the Crystal Mine does not require gas to upgrade.

Costs to upgrade the Crystal Mine

Level			Output per Hour	Output/Hr (with lvl 1 Geologist: +10%)		Accumulated Energy Requirements
1	48	24	117	129	11	11
2	76	38	223	245	13	24
3	168	67	349	384	15	39
4	196	98	498	548	18	57
5	314	157	674	741	21	78
6	503	251	880	968	25	103
7	805	402	1121	1,233	30	133
8	1,288	644	1402	1,542	35	168
9	2,061	1,030	1727	1,900	40	208
10	3,298	1,649	2105	2,315	47	255
11	5,277	2,638	2540	2,794	54	309
12	8,444	4,222	3043	3,347	62	371
13	13,510	6,755	3620	3,982	72	443
14	21.61K	10.80K	4283	4,711	82	525
15	34.58K	17.29K	5042	5,546	94	619
16	55.34K	27.67K	5911	6,502	108	727
17	88.54K	44K	6904	7,594	124	851
18	141.67K	70.83K	8035	8,839	141	992
19	226.67K	113.33K	9325	10,258	161	1,153
20	362.67K	181.33K	10.79K	11,873	?
21	580.28K	290.14K	12.46K	13,708	208
22	928.45K	464.22K	14.35K	15,792	236
23	1.48M	742.76K	16.50K	18,156	268
24	2.23M	1.11M	18.94K	20,835	304
25	3.80M	1.90M	21.69K	23,869	344
26	6.08M	3.04M	24.81K	27,301	?
27	9.73M	4.86M	28.34K	?	498
28	15.50M	7.78M	?	?	4037
29	24.90M	12.40M	?	?	?
30	39.80M	19.90M	?	?	?
31	63.8M	31.6M	?	52.00K	?
32	102M	51M	?	?	?
33	163M	81.6M	?	?	?
34	261M	130M	?	?	?
35	418M	209M	?	?	?
36	669M	334M	?	?	?
37	1.07B	535M	?	?	?
38	1.71B	856M	?	?	?
39	2.74B	1.37B	?	?	?
40	4.38B	2.19B	?	?	?

Build / Upgrade Time

• Rows: Goal Upgrade Level
• Columns: Robotics Facility Level
• Result: Upgrade Time
• Note: Times recorded using a Commander Lv1. which confers a construction time -10%

Time for each Upgrade Level (U) for each Robotics Facility Level (R)

	R0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25
U1
2		15s	15s	15s	15s
3			18s
4			50s
5			1m 21s
6
7			2m 9s
8			3m 27s					1m 17s
9			5m 33s					2m 5s
10			8m 53s	6m 40s	5m 20s			3m 19s
11					8m 32s	7m 6s		5m 20s
12						11m 22s		8m 32s
13						18m 13s
14						29m 10s
15						1h 14m 42s
16
17							1h 42m 27s
18
19
20
21
22
23
24
25

Formulas

Time to Build

The time to build formula is:

$t=(1-d)\cdot \frac { A }{ (r+1) } \cdot { e }^{ B\cdot l }$

with the following variables:

• t = time [seconds]
• d = Bonus Discount [%]
• r = Robotics Lab Level
• l = Upgrade Level

And the following constants

As derived from the following Equations:

Solve for B

$B=\frac { \ln { \left( \frac { { t }_{ 1 } }{ { t }_{ 2 } } \right) } }{ { l }_{ 1 }-{ l }_{ 2 } } \quad For\quad two\quad points\quad where\quad { d }_{ 1 }={ d }_{ 2 }\quad and\quad { r }_{ 1 }={ r }_{ 2 }$

And Solve for Constant A

$A=\frac { t(r+1) }{ { e }^{ Bl }(1-d) }$

(Best Value as of Apr 25, 2014)

• A = Constant = 4.391846413
• B = Constant = 0.588346327