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The only cost is losing an active party for a while, but it pays out if you are doing several Briv runs.
Gaining an order of magnitude on Briv stacks gives x jumps:
As log(10) = 1
Without spec: 1/log(1/0.96) = 56.41
With spec: 1/log(1/0.968) = 70.80
You can sum your jump stats and the not jumped zone and that'll give you the amout of areas you can reach. (eg. a 3.275j Briv will do 4.275×70.80 = 302.67 areas per order of magnitude of stacks). For the total, divide the stacks per 49 as it's the floor value (or use log(stacks/49) as a coefficient).
et. that 3.275j Briv will do, with spec, with 12500 stacks:
1/log(1/0.968) × (3.275+1) × log(12500/49) = 728.42
→ around 728 areas in average
Now to convert the equation to rather give stacks as a result:
log(stacks/49) = area goal × log(1/0.968) / (jump+1)
stacks = 49 × 10^(area goal × log(1/0.968) / (jump+1))
stacks = 49 × 10^(area goal × 0.014125 / (jump+1))
eg. you want to go to area 1500 with a 6.35 Briv, with spec:
49 × 10^(1500×0.014125/7.35) = 37398 stacks (average)
Or for more common value, with 9j
49 × 10^(1500×0.014125/10) = 6440 stacks
with 4j
49 × 10^(1500×0.014125/5) = 846635 stacks
with 1j
49 × 10^(1500×0.014125/2) = 1.92e12 stacks
And with 2j (as I think OP's double jump means — I just seen it):
49 × 10^(1500×0.014125/3) = 5.6e8 stacks
Of course, you can go a bit below those values because of some rounding and the real floor value to use is slightly below 49 (and even below 48), but that wont change it much.
PS: Of course, those calculations are only valid on FP as Briv can't jump boss out of them (you then need a bunch less stacks).
Fighting boss on non-FP during a jump counts counter-intuitively as a skipped area for the purpose of the ability, so it makes no difference in stacks expense. But, for time saving purpose, try to align your landing area with boss if you're using a 4j (or 9j but that won't make any difference) Briv, so you won't have to fight a boss area and your landing area per jump but both being the same.
That way, if your landing zone is a boss zone, you also can avoid all bad buffer speed champions (Hew, BBEG, Melf, etc.) and focus on powerful supports.