Unmatched vex transform output compared to rig pose output

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In my asset I want to mimic rig pose output by calling transform functions in vex. I followed matrix multiplication orders mentioned in the rig pose documentation. but results are not same. even for pre-multiply mode which should not have need any special treatments there is some transform shift.

what's the problem?

as a test case and for simplicity, attached file code, works on point 0 and 2 of the chain.

I struggled badly here. any help would be greatly appreciated.

Attachments:
rigpose_vs_vex.png (340.2 KB)
rigpose_vs_vex.hip (202.2 KB)

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