Ok, here's the analysis in detail of doubling 45 vs 7. I did it partly to double check my calculations and the values came out as I expected them to so I am at least confident that my CA is working as I intendedit to. A few things:
1) The EV is slightly higher than the above post because I've allowed 3 redoubles rather than just 1. It's still not enough to overcome the ev of hitting.
2) I didn't break down the redoubling EV for 345 or 1245 because my CA gives the DEV directly when the strategy doesn't involve redoubling when examining the hand in detail so I just took it from that.
3) I did break down the EV of doubling 245 to show an example calculation of how to deal with redoubling a second time (note the strategy for 1245 is to redouble again).
4) D(hand) is the EV before multiplying by 2 and DoubleEV(hand) is after multiplying by 2. The values in the S column are stand ev's and the values in the D column are double ev's.
HitEV(45) = 0.154061577
DoubleEV(45) = 2xD(45) = 0.149496616
D(45) S D P|457 pev
145 0.753406782 0.084210526 0.063444782
245 0.394997201 0.084210526 0.033262922
345 -0.387603407 0.084210526 -0.032640287
445 -0.464870822 0.080701754 -0.037515891
545 -0.466080796 0.080701754 -0.037613538
645 -0.467098012 0.084210526 -0.039334569
745 -0.467993876 0.080701754 -0.037767927
845 -0.14323071 0.084210526 -0.012061533
945 0.338510373 0.084210526 0.028506137
1045 0.57977001 0.252631579 0.146468213
Sum = 1 0.074748308
D(245) S D P|2457 pev
1245 -0.384390159 0.084507042 -0.032483675
2245 -0.464713949 0.080985915 -0.037635285
3245 -0.464315557 0.084507042 -0.039237934
4245 -0.463938152 0.080985915 -0.037572456
5245 -0.465156775 0.080985915 -0.037671147
6245 -0.14050529 0.084507042 -0.011873687
7245 0.340672363 0.080985915 0.027589663
8245 0.581996352 0.084507042 0.04918279
9245 0.753537251 0.084507042 0.063679204
10245 1 0.253521127 0.253521127
Sum = 1 0.1974986
Double(245) = 2*sum(pev) = 0.394997201
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