Runes

Types

Rune of Power	Rune of Guard	Rune of Vitality	Rune of Endurance	Rune of Violence
Rune of Death	Rune of Rage	Rune of Life	Rune of Immortality	Rune of Wisdom

(Two Runes are missing. Please help us contribute! <3 )

Enhancing

Success Rates

The following table shows the success rate to upgrade a rune from one level to the next. For each failed enhancement, the rune will receive a 0.5% success bonus. This bonus will stack and last until the enhancement is successful. From success rate and stacking success bonus, expected time to enhance per level can be calculated based on probability theory.

	+1	+2	+3	+4	+5	+6	+7	+8	+9	+10	+11	+12	+13	+14	+15
Success Rate	100%	90%	80%	70%	60%	50%	35%	20%	15%	10%	7%	4%	2%	1%	0.5%
Expected enhances	1	1.11	1.25	1.42	1.66	1.98	2.78	4.62	5.83	7.79	9.61	12.29	14.86	16.48	17.39

Enhancement prices

The following table shows the price per enhance for 1-star runes. For 2/3/4/5-star runes, multiply the price with 2/3/4/5 respectively

Level	+1	+2	+3	+4	+5	+6	+7	+8	+9	+10	+11	+12	+13	+14	+15
Gem Cost	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16
Crystal Cost	0	0	0	0	0	0	0	1	2	3	4	5	6	7	8

Maxing Rune Price

From Enhancement prices and expected enhances per level, the expected price to max out a rune level is as follow:

Rune Star	1	2	3	4	5
Expected Gem Cost	1258	2516	3774	5031	6289
Expected Crystal	483	966	1449	1933	2416

Composing & Selling

Composing 3 runes of same type and star level will result in 1 rune of same type but 1 star level higher, upto 5 stars. Any enhancements on ingredient runes will not be carried to the higher level rune. Composing costs crystals and is guaranteed to succeed.

Ingredient Rune Stars	1	2	3	4	5
Resulting Rune Stars	2	3	4	5	N/A
Crystal Cost	11	37	80	300	N/A
Selling Price	1	2	8	25	100

Inventory

Runes are stored inside an inventory in Hero equipment section. The inventory starts off with 30 slots for your runes, which would quickly fill up. To expand 10 slots for the inventory initially costs 1 crystal, and plus 1 for every expansion you make, upto 47 crystals (corresponds to totally 500 rune slots). The total price for fully expanding inventory is 1128 crystals.

Auxilary Section: Code

Expected enhances were calculated using this Python snippet. Validate it yourself if you want

#!/usr/bin/python3
def clamp(value, low_bound, up_bound):
    return min(max(low_bound, value), up_bound)

def est_enhance_times(initial_success_rate = 1.0, fail_compensation_rate = 0.005):
    if initial_success_rate >= 1.0:
        return 1 
    isr = initial_success_rate
    fcr = fail_compensation_rate
    accumulated_fail_rate = 1.0
    fail_times_to_get_to_one_hundred_percents = (1.0 - initial_success_rate) / fail_compensation_rate
    result = 0
    for enhance_time in range(1, int(fail_times_to_get_to_one_hundred_percents+1)): 
        current_success_rate = clamp(initial_success_rate + (enhance_time-1)*fail_compensation_rate, 0, 1)
        result = result + enhance_time*current_success_rate*accumulated_fail_rate
        accumulated_fail_rate = accumulated_fail_rate * (1.0 - current_success_rate)
    return result 

def print_est_times(): 
    level_success_rate = [-9999, 1, 0.9, 0.8, 0.7, 0.6, 0.5, 0.35, 0.2, 0.15, 0.1, 0.07, 0.04, 0.02, 0.01, 0.005]
    for lv in range(1, len(level_success_rate)): 
        print("Level " + str(lv) + ": " + str(round(est_enhance_times(level_success_rate[lv]), 4))) 

print_est_times()