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	I currently have two theories:		I currently have two theories:
−	# (62% of Cost to bestow) / 1000	+	# (62% of Cost to bestow) * 1000
	# Base + (Ritual cost * Multiplier)		# Base + (Ritual cost * Multiplier)

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Revision as of 11:33, 8 July 2009

Faith Rod Research

Conclusions, or end theories

I currently have two theories:

1. (62% of Cost to bestow) * 1000
2. Base + (Ritual cost * Multiplier)

Theory 1 looks most promising as it's the simplest (Occam's razor). There is also a modifier for your bonus in fa.it.rod which makes it cost less to charge with higher bonuses.

62% is my value for a 250 fa.it.rod bonus

See below for my calculations, theories, random waffle and data.

Hope this is useful for someone. I've found that it's very time consuming to gather enough data on this, so will be ending my research here. Thanks for the support I've received, and keep on charging!

Theory 1

Could it be (62% of Bestow cost) * 1,000?

• Endless Halls (200 to perform, 110 to bestow, 62,000 to imprint)
  • (62,000/1000)/0.62 = 100
• Detect Alignment (10 to perform, 30 to bestow, 19,000 to imprint)
  • (19,000/1000)/0.62 = 30.6
• Fumble (120 to perform, 120 to bestow, 76,000 to imprint)
  • (76,000/1000)/0.62 = 122

The 62% value is most likely to be the one that is modified by your fa.it.rod bonus. So tests at different bonuses may reveal more.

Theory 2

So far, I have worked out that there are three constants involved in the charging process, and it looks like this:

Base + (Ritual * Multiplier)

It seems that the multiplier is doubled for the impressed stages, or in other words, each impressed stage is worth two imbued stages. Dathed's initial research suggested that there was no base cost, so I decided to test the theory again the lowest cost ritual - Detect Alignment (10 GP). If there were no base cost, then you'd be able to imprint that in a couple of prayers.

Note: The calculations appear to also involve a modifier for your fa.it.rod bonus. All these calculations are done with a bonus of 252. Cinnamon did a quick test for me on a 354 bonus and showed that his charging costs for initial stages were about 10% less.

Currently, I've narrowed the BASE down to somewhere around 800 GP per imbued stage, while the MULTIPLIER is between 10 and 15. Both these figures are doubled for impressed stages.

Additionally, the first stage (barely visible) requires an additional 25% than other imbued stages. The softly pulsing stage appears to be the same cost as the other impressed stages, although the rod only becomes impressed at 80% through.

As a rough guide, the following formula should be about right to imprint a faith rod:

15,000 + (Ritual * 200)

So, a 40 GP ritual would require 23,000 GP in total, or the equivalent of 77 prayers at 300 GP each. That is just over 3 hours on a 4 GP regen, or just over 4 hours at a 3 GP regen.

Based on this, if would take 9.5 hours of constant prayer at 4 GP regen to imprint the Resurrect ritual.

Calculations

All prayers were 350 GP, so the GP totals could be off by up to 350 GP.

"GP" = GP cost to perform ritual

Is it the cost to perform, or the cost to bestow that is important?

My first guess was this:

• First stage is 25% more than the other imbued stages
• 750 + (GP * 12.5) for imbued stages
• 1500 + (GP * 25) for impressed stages (or twice the imbued cost)

After 2 rituals, the numbers look more like this:

• First stage is 25% more than the other imbued stages
• 844 + (GP * 11.1) for imbued stages
• 1688 + (GP * 22.2) for impressed stages (or twice the imbued cost)

Important to note: I believe only 90% of the prayer GP goes into the rod, whilst the other 10% is taken for Deity Points.

Additionally, the Softly pulsing stage appears to be treated the same as the impressed stages overall, although the artifact only becomes impressed 80-90% through this stage.

The charging tables

The following tables detail my research into one large and one small ritual, calculating the GP costs throughout the charging process, the accuracy of these readings could be affected by variables out of my control, such as the Disc's randomness affecting figures. We all know they love to flick the dice now and then :D

Endless Halls into a serrated baton (off aff)

• 200 GP to perform
• 110 GP to bestow

Stage	Prayer count	GP Total
Barely visible	12.4*	4,350*
Faint	9.8*	3,450*
Dull	9.8*	3,450*
Pale	9.8*	3,410*
Dim	10	3,500
Moderate	10	3,500
Softly pulsing	19	6,650
Total up to impressed	80.8	25,160
Softly pulsing	2	700
Brightly pulsing	21	7,350
Bright	21	7,350
Strong	19	6,650
Brilliant	21	7,350
Dazzling	20	7,000
Radiant	18.3*	6,400*
Total up to imprinted	183.1	61,960

Breakdown of the calculations:

((200 * 12.5) + 750) * 0.25 = 813  (additional 25% for first stage)
((200 * 12.5) + 750) * 6 = 19,500  (6 imbued phases)
((200 * 25) + 1,500) * 7 = 45,500  (7 impressed phases)
813 + 19,500 + 45,500 = 65,813     (total all phases)
65,813 / 0.9 = 73,125              (adjusted up to account for 10% loss to DP)

Will the above table show a total of around 73,000?

The answer is no, the constants must be slighty off, second try:

((200 * 11.1) + 844) * 0.25 = 766  (additional 25% for first stage)
((200 * 11.1) + 844) * 6 = 18,384  (6 imbued phases)
((200 * 22.2) + 1688) * 7 = 43,106 (7 impressed phases)
766 + 18,384 + 43,106 =  62,256    (total all phases)
62,256 / 0.9 = 69,173              (adjusted up to account for 10% loss to DP)

Much better!

Detect Alignment into ribboned baton (misc aff)

• 10 GP to perform
• 30 GP to bestow

Stage	Prayer count	GP Total
Barely visible	4	1,400
Faint	3	1,050
Dull	2	700
Pale	3	1,050
Dim	2	700
Moderate	3	1,050
Softly pulsing	5	1,750
Total up to impressed	22	7,700
Softly pulsing	1	350
Brightly pulsing	5	1,750
Bright	6	2,100
Strong	5	1,750
Brilliant	6	2,100
Dazzling	6	2,100
Radiant	4.3*	1,500*
Total up to imprinted	55.3	19,350

* I stepped through prayers of 100 GP each to get a more accurate value here.

Breakdown of the calculations:

((10 * 12.5) + 750) * 0.2 = 219  (additional 25% for first stage)
((10 * 12.5) + 750) * 6 = 5,250  (6 imbued phases)
((10 * 25) + 1,500) * 7 = 12,250 (7 impressed phases)
219 + 5,250 + 12,250 = 17,719    (total all phases)
17,719 / 0.9 = 19,688            (adjusted up to account for 10% loss to DP)

That's pretty close to the 19,350 figure in the table above. Good data to support my calculations.

Round 2:

((10 * 11.1) + 844) * 0.25 = 239   (additional 25% for first stage)
((10 * 11.1) + 844) * 6 = 5,730    (6 imbued phases)
((10 * 22.2) + 1,688) * 7 = 13,370 (7 impressed phases)
239 + 5,730 + 13,370 = 19,339      (total all phases)
19,339 / 0.9 = 21,487              (adjusted up to account for 10% loss to DP)

Ok, maybe not...

Fumble into a coral baton (off aff)

• 120 GP to perform
• 120 BP to bestow

This is starting to confuse matters, Fumble only costs 120 GP to perform, but is costing more to charge than Endless Halls (200 GP). The GP cost related to charging might actually be how much GP to bestow, rather than perform.

Stage	Prayer count	GP Total	Possibly over
Barely visible	13.1*	4,600	100
Faint	11	3,850	350
Dull	11	3,850	350
Pale	11	3,850	350
Dim	11	3,850	350
Moderate	11	3,850	200
Softly pulsing	21	7,350	350
Total up to impressed	89.1	31,200	350
Softly pulsing	2	700	350
Brightly pulsing	21	7,350	350
Bright	22	7,700	350
Strong	22	7,700	350
Brilliant	22	7,700	350
Dazzling	21	7,350	350
Radiant	18	6,300	350
Total up to imprinted	217.1	76,000	350

Rod charging table template

Stage	Prayer count	GP Total
Barely visible
Faint
Dull
Pale
Dim
Moderate
Softly pulsing
Total up to impressed
Softly pulsing
Brightly pulsing
Bright
Strong
Brilliant
Dazzling
Radiant
Total up to imprinted