For comparison, here are the formulas of the new unscented Dove Sensitive Skin bar products (not okay per the solveeczema.org site) and the old unscented Dove product (fine per the solveeczema.org site):

Old formula (fine per solveeczema):
Sodium cocoyl isethionate
Stearic acid
Coconut acid
Sodium tallowate
Sodium isethionate
Water
Sodium stearate
Cocamidopropyl betaine
Sodium cocoate or sodium palm kernelate
Sodium chloride
Masking fragrance
Tetrasodium EDTA
Tetrasodium etidronate
BHT
Titanium dioxide

New Dove unscented Sensitive Skin formula (not okay per solveeczema web site):
Sodium lauroyl isethionate
Stearic acid
Sodium tallowate or sodium palmitate
Lauric acid
Sodium isethionate
Water
Sodium stearate
Cocamidopropyl betaine
Sodium cocoate or sodium palm kernelate
Sodium chloride
Tetrasodium EDTA
Tetrasodium etidronate
Maltol
Titanium dioxide