I have tried this with my actual data, and everything works smoothly,
including the monotonically decreasing error rates. e.g.:
formula Error
1 Cr 0.41666667
2 Cr + Mg 0.16666667
3 Cr + Mg + Al 0.04166667
4 Cr + Mg + Al + Ba 0.00000000
Thank you for your help.
Ty Smith
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