Veins Utilization (Upgrade)

Summary

Veins Utilization is an repeatable upgrade that applies a -6% ore consumption / miner product (power of 0.94 per level) and +10% mining speed (multiple of +10% per level). The ore consumption decreases exponentially, while the mining speed and cost in universe matrix and hashes increases linearly.

Levels

1		Veins Utilization 1	3601	400	400				-6% ore consume / miner product. +10% mining speed.	-6% ore consume / miner product (94%). +10% mining speed (110%).
2		Veins Utilization 2	3602	1000	1000	1000			-6% ore consume / miner product. +10% mining speed.	-11.6% ore consume / miner product (≈88.4%). +20% mining speed (120%).
3		Veins Utilization 3	3603	1000	1000	1000	1000		-6% ore consume / miner product. +10% mining speed.	-16.9% ore consume / miner product (≈83.1%). +30% mining speed (130%).
4		Veins Utilization 4	3604	1600	1600	1600	1600		-6% ore consume / miner product. +10% mining speed.	-21.9% ore consume / miner product (≈78.1%). +40% mining speed (140%).
5		Veins Utilization 5	3605	2000	2000	2000	2000	2000	-6% ore consume / miner product. +10% mining speed.	-26.6% ore consume / miner product (≈73.4%). +50% mining speed (150%).
6		Veins Utilization ∞	3606	4000					-6% ore consume / miner product. +10% mining speed.	Total consumption ≈(73.4*0.94^(LVL-5))%: Total speed: 150+10*(LVL-5)%	Can be researched infinitely*.

Technically, the maximum level is 10,000. But you'll run out of time in your life before you get anywhere close to that level, since the cost for each subsequent level increases linearly by +4,000 universe matrix and +3,600,000 hashes. In practice, most players will never research above level 20-30.

Research consumption

• Hashes cost formula for Level >= 6
  • 3,600,000 * (Level - 5) Hashes

• Cost formula for Level >= 6
  • 4,000 * (Level - 5) Universe Matrix

Table of Research Consumption

Level	Blue	Red	Yellow	Purple	Green	White	Hashes	Mining speed per vein (x / min)	Vein reserves used (x / min)
1	400	400					36,000	30.0	30.0
2	1,000	1,000	1,000				180,000	33.0	31.0
3	1,000	1,000	1,000	1,000			180,000	36.0	31.8
4	1,600	1,600	1,600	1,600			480,000	39.0	32.4
5	2,000	2,000	2,000	2,000	2,000		1,800,000	42.0	32.8
6						4,000	3,600,000	45.0	33.0
n						4000*(n-5)	3,600,000*(n-5)	30*(1+(0.1*(n-1)))	30*(1.1^(n-1))*(0.94^(n-1))
7						8,000	7,200,000	48.0	33.1
8						12,000	10,800,000	51.0	33.1
9						16,000	14,400,000	54.0	32.9
10						20,000	18,000,000	57.0	32.7
20						60,000	54,000,000	87.0	26.9
100						380,000	342,000,000	327.0	0.7
200						780,000	702,000,000	627.0	0.003
500						1,980,000	1,782,000,000	1527.0	0.0000000001
590						2,340,000	2,106,000,000	1797.0	2.67E-13
591						2,344,000	2,109,600,000	1800.0	2.52E-13
592						2,348,000	2,113,200,000	1800.0	2.37E-13
1000						3,980,000	3,582,000,000	1800.0	2.57E-24
10000						39,980,000	35,982,000,000	1800.0	3.64E-266