Marylene's Fallacy

Marylene's Fallacy is a unique .

Mechanics

is rather straightforward in what it does; a massive amount of critical strike multiplier in exchange for 40% less critical strike chance.

With the base 150% Critical Strike Multipler the breakeven point where Marylene's does less damage is if your base critical strike multiplier before equipping Marylene's is higher than 235% (85% additional critical strike multiplier).

This, however is changed when Critial Strike Luck from either or Dance with Death is applied.

Wtih a base 100% critical strike chance, the critical strike chance with is 84%, following the Luck formula.

$\color[RGB]{163,141,109} CritChance_{Lucky} = 2 \times CritChance_{Default} - {CritChance_{Default} } ^ 2$

(2*0.6)-(0.6^2)=0.84=84%

In every case where your critical strike multiplier before equipping is higher than 390% (150% base + 240% additional) using is a loss of opportunity as you have to invest massively into critical strike chance.

combined with Luck is most effective when your pre-Marylene's critical strike chance is between 50%-80%.

As the tables below show, using Luck is extremely beneficial for , but tapers of as critical strike chances approaches 100% or when your other sources of Critical Strike Multiplier is high.

Damage output without Luck

Base Critical Strike Chance	Base critical strike modifier	Effective damage increase	Critical Strike Chance with Marylene's	Perfect Rolled Marylene's +base critical strike multiplier	Effective damage increase with Marylenes	Critical Strike Multiplier needed to beat Marylenes	Effective damage increase with base + 85%
10%	150%	1.15	6%	390%	1.234	235% (150+85)	1.235
20%	150%	1.3	12%	390%	1.468	235% (150+85)	1.47
30%	150%	1.45	18%	390%	1.702	235% (150+85)	1.705
40%	150%	1.6	24%	390%	1.936	235% (150+85)	1.94
50%	150%	1.75	30%	390%	2.17	235% (150+85)	2.175
60%	150%	1.9	36%	390%	2.404	235% (150+85)	2.41
70%	150%	2.05	42%	390%	2.638	235% (150+85)	2.645
80%	150%	2.2	48%	390%	2.872	235% (150+85)	2.88
90%	150%	2.35	54%	390%	3.106	235% (150+85)	3.115
100%	150%	2.5	60%	390%	3.34	235% (150+85)	3.35

Damage output with Luck

Base Critical Strike Chance	Effective Critical Strike chance with Luck	Base critical strike modifier	Effective damage increase	Effective Critical Strike chance with Marylene's AND Luck	Perfect Rolled Marylene's +base critical strike multiplier	Effective damage increase with Marylenes	Critical Strike Multiplier needed to beat Marylenes	Effective damage increase with base + extra
10%	19%	150%	1.285	11.64%	390%	1.45396	240% (150+90)	1.456
20%	36%	150%	1.54	22.56%	390%	1.87984	245% (150+95)	1.882
30%	51%	150%	1.765	32.76%	390%	2.27764	250% (150+100)	2.275
40%	64%	150%	1.96	42.24%	390%	2.64736	255% (150+105)	2.632
50%	75%	150%	2.125	51%	390%	2.989	265% (150+115)	2.9875
60%	84%	150%	2.26	59.04%	390%	3.30256	275% (150+125)	3.31
70%	91%	150%	2.365	66.36%	390%	3.58804	285% (150+135)	3.5935
80%	96%	150%	2.44	72.96%	390%	3.84544	295% (150+145)	3.832
90%	99%	150%	2.485	78.84%	390%	4.07476	310% (150+160)	4.069
100%	100%	150%	2.5	84%	390%	4.276	330% (150+180)	4.3

Damage output with Marylenes Equipped and a excess of 100% critical strike chance

"Base Critical Strike Chance"	Effective Critical Strike chance with Marylene's	Effective Critical Strike chance with Marylene's AND Luck	Perfect Rolled Marylene's +base critical strike multiplier	Effective damage increase with Marylenes	Critical Strike Multiplier needed to beat Marylenes	Effective damage increase with base + extra
110%	66%	88.44%	390%	4.44916	345% (150+195)	4.45
120%	72%	92.16%	390%	4.59424	360% (150+210)	4.6
130%	78%	95.16%	390%	4.71124	370% (150+220)	4.7
140%	84%	97.44%	390%	4.80016	380% (150+230)	4.8
150%	90%	99%	390%	4.861	385% (150+235)	4.85
160%	96%	99.84%	390%	4.89376	390% (150+240)	4.9
166.66%	~100%	100%	390%	4.9	390% (150+240)	4.9

Legacy variants

Marylene's Fallacy has legacy variants.

Version Discontinued	Modifiers
2.6.0	+(20-30) to Intelligence +(80-120) to Accuracy Rating +(210-240)% to Global Critical Strike Multiplier +(80-100) to Evasion Rating (10-15)% increased Light Radius Non-critical strikes deal 40% Damage 40% less Critical Strike Chance Your Critical Strikes have Culling Strike
2.2.0	+(20-30) to Intelligence +(80-120) to Accuracy Rating +(140-160)% to Global Critical Strike Multiplier +(80-100) to Evasion Rating (10-15)% increased Light Radius Non-critical strikes deal 40% Damage 40% less Critical Strike Chance Your Critical Strikes have Culling Strike
2.0.0	+(20-30) to Intelligence +(80-120) to Accuracy Rating +(140-160)% to Global Critical Strike Multiplier +(80-100) to Evasion Rating (10-15)% increased Light Radius Non-critical strikes deal 25% Damage 50% less Critical Strike Chance Your Critical Strikes have Culling Strike
1.3.0	+(20-30) to Intelligence +(80-120) to Accuracy Rating +(140-160)% to Global Critical Strike Multiplier +(80-100) to Evasion Rating (10-15)% increased Light Radius Non-critical strikes deal 25% Damage 60% less Critical Strike Chance Your Critical Strikes have Culling Strike

Supporter attribution

Marylene's Fallacy was created by supporter Ocylix.

Version history

Version	Changes
2.6.0	No longer has the property non-critical strikes deal 40% less damage.
2.2.0	All sources of increased Critical Strike Multiplier have been changed to additional Critical Strike Multiplier. This change brings the functionality in line with how most players think it works. Because of this, all items, passives and some skills/support gems that used to have increased Critical Strike Multiplier are now 33% less effective on players, despite having the same value. A number of these have been adjusted in value to maintain similar effectiveness. Divine Orbs are required to update the following to their new values: All craftable Jewel mods which grant Critical Strike Multiplier, Facebreaker, Marylene's Fallacy, Fragment of Eternity (the Descent: Champions Unique), Bino's Kitchen Knife, Romira's Banquet, Shadows and Dust, Ungil's Harmony, Eclipse Solaris, Death's Harp, Mortem Morsu, The Goddess Scorned and Abyssus.
2.0.0	Non-critical strike damage penalty has been reduced from 75% to 60%. Critical strike chance penalty has been reduced from 50% to 40%.
1.3.0	Critical strike chance penalty has been reduced from 60% to 50%.
1.0.3	Introduced to the game.