HyperLogLog apply bias correction using a polynomial.
Better results can be achieved by compensating for the bias of the raw approximation just after 2.5m (when LINEARCOUNTING is no longer used) by using a polynomial that approximates the bias at a given cardinality. The curve used was found using this web page: http://www.xuru.org/rt/PR.asp That performs polynomial regression given a set of values.
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