As people have already pointed out:
1 parse each doesn't show anything at all. You need a large number of parse, averaged, and compared
Even with this single parse I can safely conclude that your DoT opening have lost. The DoT opening have a 42% crit vs 36% crit on the other, which is a 6% advantage, and you have 11 more swings in 13s. Assuming you have some 2.40ish GCD that means in this 13s you could probably fired 5 more GCD skills, which leads to an estimate that you have about 8 more BL proc than the other opener. The DPS-over-time graph shows that you kind of "cheated" with your DoT opener because you have used Hawk's Eye towards the end of the parse. I have done enough parse to know that around 3:10 ish mark, plus minus a bit depending on how you open, you should have Hawk's Eye back up. Your DoT opener parse is 3:29s and the spike at the end proves that you have used Hawk's Eye. The other parse does not show this spike.
FYI, Hawk Eye's when timed properly to refresh DoT buffs could very well jack up your DPS by 20ish mark at current gear level temporary. Again, this is quite clear in your graph. The other opener dies at 190s ish mark. Your DoT opener also shows a decline in 190s ish mark, but due to your use of Hawk's Eye and extended parse, DPS at that point in time spiked from slightly under 400 to a peak of just under 750 over 20s.
A rough estimate, assuming the peak was at 740, and at the 190s mark it is approximately 380, the difference is 360. To simplify it, I will take that area as a triangle (it is actually more of a bell shape). 1/2 x 20 x 360 = 3,600 => You have approximately dealt about 3,600 more damage to the dummy over that 20s. Your total pull time is 210s, so 3,600/210 = 17.14 DPS. Do note that this is an underestimated value because I simply took that area as a triangle instead of a bell, which actually have a larger area. Which means the total DPS gain over that 20s could very well be at 20ish mark. This tallies with my experience as mentioned above.
Given that you had more BL proc swings, 6% higher crit rate advantage and the fact that you used Hawk's Eye at the end of the parse, your DPS should be much more higher. I would give an estimate that you should be at least 25DPS points higher. However, your parse shows you only had 10 points advantage.
10 - 25 = -15 => The actual fact is that your DoT opener based on this case is actually 15 points weaker, not 10 points stronger.