heavensward formulae

Heavensward Crafting Formulae

Crafter and Recipe Levels

Crafter and recipe levels for the new recipes appear to be based on the table found in the Desynthesis Leveling and Endgame Guide thread. Replicated here for convenience.

Crafter Level	Effective Level
51	120
52	125
53	130
54	133
55	136
56	139
57	142
58	145
59	148
60	150

Ingenuity 1 and Ingenuity 2

For now I am subscribing to the theory that Ingenuity 1 and 2 modify the effective recipe level, and the lDiff is calculated as the difference between the effective crafter level and the modified effective recipe level with caps on the benefit (or penalty). See respective sections below.

RLevel	Base	Ing1 `modEffRLvl`	Ing2 `modEffRLvl`
51	115/120 ^*	100	100
52	125	100	100
53	130	110	110
54	133	110	110
55	136	110	110
56	139	124	124
57	142	129.5	129.5
58	145	134.5	133
59	148	139	136
60	150	140	139
60*	160	151	150
60**	170		151.15
60***	180

^*115 for recipes with 169 or 339 difficulty. 120 for everything else.

Crafter Level 51+

All formulae apply strictly to crafter levels 51+. No attempt has been made to round coefficients. Everything subject to more data becoming available.

Effect of Craftsmanship on Progress

~~baseProg = 0.216733 * craftsmanship - 2.12243~~

baseProg = 2.09860E-05 * craft^2 + 0.196184 * craft + 2.68452

Effect of Level on Progress for Lower Level Recipes

levelFactor = 0
if lDiff > 0: 
    levelFactor += 0.0504824 * min(lDiff,5)
if lDiff > 5:
    levelFactor += 0.0205906 * min(lDiff - 5, 10)
if lDiff > 15:
    levelFactor += 0.0106398 * min(lDiff - 15, 5)
if lDiff > 20:
    levelFactor += 6.69723e-04 * min(lDiff - 20, 100)

levelAdjustedBaseProg = (1 + levelFactor) * baseProg

Effect of Ingenuity and Ingenuity II on Level Difference for Recipes below Crafter Level

lDiff = effCLvl - modEffRLvl    # See table above for modEffRlvl
lDiff = min(lDiff, 20)

Effect of Level on Progress for Higher Level Recipes

# Level difference penalty appears to be capped at -6 for now
levelFactor = 0
if lDiff < 0: 
    levelFactor += 0.0807176 * max(lDiff, -5)
if lDiff < -5:
    levelFactor += 0.0525673 * max(lDiff - (-5), -1)    

levelAdjustedBaseProg = (1 + levelFactor) * baseProg

Effect of Ingenuity and Ingenuity II on Level Difference for Recipes above Crafter Level

lDiff = effCLvl - modEffRLvl    # See table above for modEffRlvl
lDiff = max(min(lDiff, 20),-5)

Effect of Control on Quality

baseQualityIncr = 3.37576E-05 * control^2 + 0.338835 * control + 33.1305

Effect of Recipe Level on Quality for Even Level Recipes

Higher level recipes produce lower quality gains for same effective control and multipliers. It is not related to the difference between crafter and recipe level as evidenced by:

Recipe	CLvl	RLvl	Control	IQStacks	AMult	CMult	Inno	GS	ActQ	Ing1	Ing2	Difficulty
Titanium Cross Pein Hammer_291	55	55	470	1	1	1	0	0	198	0	0	697
Dhalmel Leather_222	54	54	470	1	1	1	0	0	199	0	0	320

rLvlAdjQualIncr = baseQualityIncr * (1 + 3.37610-4 * (115 - EffRLvl))

Effect of Level Difference on Quality for Lower Level Recipes

No effect of lDiff on quality for lower level recipes

Effect of Ingenuity and Ingenuity II on Level Difference for Recipes below Crafter Level for Quality