Not sure if you're still working with the Vyr's build, but I've got a couple of tips.
I'd recommend switching either teleport or frost nova for Blizzard with Snowbound rune. While casting Arcane Torrent, spam Blizzard. It will constantly cancel Torrent's animation and greatly reduce your downtime between Archons.
Since you've got a furnace cubed, you can switch your +% elemental damage to arcane and use a Moonlight Ward.
I think one of the biggest things with Wizard archon damage is you need to stay alive. I only played my Wizard about 6 hours this season (4th class i'm playing), but i noticed that after dieing the chance of dieing again in a big pack seems really high. I cleared up to 57 so far, and I had 6 or 7 deaths (mostly on the RG), and as a result it took like 6 minutes just to kill the RG even with striken gem. In the parts of the rift when I wasn't dieing the clear speed was going significantly faster than the timer.
I finally geared out my wizard yesterday. Ancient chanatado but not a great one. It is so different. Constantly finding new monsters to hit me to trigger frost nova to keep up ancient parth stacks is intriguing. Only did a 50 last night but I think I finally understand how to play it. I need LoH though.