In this thread I will show the impact of the Mother's Sorrow crit chance bonuses on hypothetical dps values. There will be 3 parameters to be tested to see how they effect the potential power of Mother's Sorrow:
1. The amount of damage the player would have done with 0 crit chance. This is our Baseline. (10k, 15k, 20k non-crit dps)
2. The amount of crit chance already present before Mother's Sorrow is added. (40%, 50%, 60% crit chance)
3. The amount of crit damage present. (50%, 60%, 70% crit damage)
So plotting from [10k base dps, with 40% crit, and 50% crit damage] up to [20k base dps, with 60% crit, and 70% crit damage] should give us a picture of how Mother's Sorrow generally boosts dps.
We will perform these calculations on Mother's Sorrow Pre-HotR, 3.1.4, and HotR LIVE to see how the set has changed.
Pre-HotR: 688 + 688 + 1643 = 3019 / 219 = 13.7%
3.1.4: 1066 + 1066 + 2470 = 4602 / 219 = 21%
HotR LIVE: 833 + 833 + 1924 = 3590 / 219 = 16.4%
21 - 13.7 = 7.3% gained crit chance from Pre-HotR to LIVE
21 - 16.4 = 4.6% lost crit chance from 3.1.4 to LIVE
16.4 - 13.7 = 2.7% gained crit chance from Pre-HotR to HotR LIVE
This chart shows the additional dps gained by Mother's Sorrow over various baselines:

This is the same data converted into % contribution to overall dps:

Math
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10000 non-crit dps, 40% crit, 50% crit dmg
0.4 x 0.5 = 0.2
10000 x 0.2 = 2000
Pre-HotR: 40 + 13.7 = 53.7
0.537 x 0.5 = 0.268
10000 x 0.268 = 2680
2680 - 2000 = 680
12680 / 12000 = 5.6%
3.1.4: 40 + 21 = 61
0.61 x 0.5 = 0.305
10000 x 0.305 = 3050
3050 - 2000 = 1050
13050 / 12000 = 8.75%
LIVE: 40 + 16.4 = 56.4
0.564 x 0.5 = 0.282
10000 x 0.282 = 2820
2820 - 2000 = 820
12820 / 12000 = 6.83%
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15000 non-crit dps, 50% crit, 60% crit dmg
0.5 x 0.6 = 0.3
15000 x 0.3 = 4500
Pre-HotR: 50 + 13.7 = 63.7
0.637 x 0.6 = 0.382
15000 x 0.382 = 5730
5730 - 4500 = 1230
20730 / 19500 = 6.3%
3.1.4: 50 + 21 = 71
0.71 x 0.6 = 0.426
15000 x 0.426 = 6390
6390 - 4500 = 1890
21390 / 19500 = 9.7%
LIVE: 50 + 16.4 = 66.4
0.664 x 0.6 = 0.398
15000 x 0.398 = 5970
5970 - 4500 = 1470
20970 / 19500 = 7.5%
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20000 non-crit dps, 60% crit, 70% crit dmg
0.6 x 0.7 = 0.42
20000 x 0.42 = 8400
Pre-HotR: 60 + 13.7 = 73.7
0.737 x 0.7 = 0.516
20000 x 0.516 = 10320
10320 - 8400 = 1920
30320 / 28400 = 6.7%
3.1.4: 60 + 21 = 81
0.81 x 0.7 = 0.567
20000 x 0.567 = 11340
11340 - 8400 = 2940
31340 / 28400 = 10.3%
LIVE: 60 + 16.4 = 76.4
0.764 x 0.7 = 0.5348
20000 x 0.535 = 10700
10700 - 8400 = 2300
30700 / 28400 = 8.1%
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