He gives a formula of the form: n^2 / (n + 1)
But in the example he uses: n^2 / (n/5 + 1)
My reading was that the post was a broad discussion of the general premise of CLC curves. If the final formula for the HF is confirmed then that would be useful to know.
Oops, you're right! I missed that bait and switch, where one formula was used for introduction, a different formula to demonstrate examples, and then switched back to the first for the conclusion.
The actual formula they implemented is
( rshares + s ) * ( rshares + s ) - s * s / ( rshares + 4 * s )It's a bit more complex than explained in the deep-dive, and I don't feel qualified to explain it properly.
Thanks Joseph, that's helpful!
I had a check on github and it looks like "s" may be 2,000,000,000,000 rshares. Working through the formula on that basis gives a curve that:
So a HF20 $0.10 upvote would:
Although there is also some scaling to take into account (since the lower rewards on smaller value posts would be spread across all posts over time).