I noticed this in the logs:
plugin-cln-askrene: notify msg unusual: The flows had a fee of 151950msat, greater than max of 53697msat, retrying with mu of 10%...
plugin-cln-askrene: notify msg unusual: The flows had a fee of 220126msat, greater than max of 53697msat, retrying with mu of 20%...
We would expect increasing mu to *reduce* the fee!
Turns out that our linear fee is a bad terrible approximation, because I
was using base_fee_penalty of 10.0.
|
| / __ <- real fee, with base: fee = base + propfee * amount.
| / __/
| _//
| __/
| __/_/
|/ _/
| _/ <- linearized fee: fee = linear * amount
|/
+-----------------------------------
These cross over where linear = propfee + base / amount. Assume we split the
payment into 10 parts, this implies that the base_fee_penalty should be 10 / amount
(this gives a slight penalty to the normal case, but that's ok).
This gives better results, too: we get down to 650099 sats in fees, vs 801613
before.
Signed-off-by: Rusty Russell <rusty@rustcorp.com.au>