Bug in benchmark calculation: fixed

I just discovered a bug in my benchmark calculation: if the player's board was not found in the list of best-five rolled out boards in the benchmarks, it was assuming an equity error of zero instead of the worst equity error in the list. So it was making those edge cases look much better than they should have, and skewing the average ERs a bit better.

Below is a table of the corrected benchmark results for the nine players in the original results, plus four new ones:

Player	GNUbg Contact ER	GNUbg Crashed ER	GNUgb Race ER	PubEval Avg Ppg	Benchmark 2 Avg Ppg
GNUbg 0-ply	10.5	11.0	1.01	0.630	-
Player 3.2	14.0	12.6	2.08	0.547	0.131
Player 3.2q	33.7	26.8	2.40	0.146	-0.282
Player 3.1	14.9	14.2	2.08	0.548	0.106
Player 3	14.9	14.2	2.67	0.550	0.108
Player 2.4	18.2	19.3	1.98	0.480	0.072
Player 2.4q	38.3	41.1	4.70	0.119	-0.283
Player 2.1	18.7	19.8	2.01	0.460	0.069
Player 2	20.5	30.0	2.09	0.442	0.021
Benchmark 2	21.5	23.7	5.44	0.432	0
Benchmark 2 (10)	42.7	37.5	13.20	0.064	-0.418
Benchmark 2 (40)	26.2	25.9	5.94	0.330	-0.067
Benchmark 1	23.0	24.5	9.66	0.351	-0.101
PubEval	44.1	49.7	3.54	0	-0.437

Redoing the one-variable regressions on the corrected & expanded data:

Metric	PubEval Ppg vs Contact ER	PubEval Ppg vs Crashed ER	PubEval Ppg vs Race ER	BM2 Ppg vs Contact ER	BM2 Ppg vs Crashed ER	BM2 Ppg vs Race ER
Slope	-0.0182	-0.0161	-0.0268	-0.0189	-0.0165	-0.0275
Intercept	0.8065	0.7638	0.4631	0.3969	0.3468	0.0362
R-Squared	98.8%	83.5%	22.5%	98.0%	80.6%	22.3%

Redoing the multivariate linear regression:

Benchmark	Intercept	Contact ER Slope	Crashed ER Slope	Race ER Slope	R-Squared
PubEval	0.8037	-0.01980	+0.00133	+0.00202	98.9%
Benchmark 2	0.3945	-0.02049	+0.00209	-0.00246	98.4%
Benchmark 2 (only good players)	0.4102	-0.01756	-0.00063	-0.00694	98.5%

The main conclusion: Contact ER mostly determines cubeless money play score. The single regression of score against Crashed ER has a relatively high R^2, but that is only because Crashed ER is highly correlated with Contact ER. When properly separated with the multivariate regression it becomes clear that Contact ER is the only measure that really matters.