You're not using your cooldowns enough. You only used your artifact ability four times in 17 attempts. The same goes for Flourish; use it with Wild Growth any time it's up. You only used Innervate twice - use it to conserve mana rather than saving it for when you're already out of mana. You should be getting 3-4 innervates off on that fight. You could also be using Ironbark and Barkskin more; there's a lot of predictable damage on that fight.
You're also not using Swiftmend enough; it's cheaper than Regrowth and heals for more, so only cast Regrowth when Swiftmend is on cooldown. This will help with both mana and HPS.
Lifebloom uptime could be better. More clearcasting procs should help with mana. But this is pretty minor. Focus on cooldown use.