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Functions order truncation (linearization)

I want from from expression like

e=(1+h+hx)(1+h+hy)

arrive to

e1+2h+hx+hy+O()

by assumptions h1;hx1;hy1

Is there instrument for such transformations in sagemath? The problem I'm running into is h being function of some vairables, while every occurance of big O notation in documentation operates on some ring variable.