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lang-mma
Distribute[grad[f]-grad[g]+grad[h]-grad[p] /. a_ * grad[x_] :> grad[ a * x ], grad]solve your problem? $\endgroup$CollectGradient[]. However, what I want is a rule which can be used byReplaceAll[]once, your code seems not quite applicable in this case for the reasons: 1. The pattern of expression needs recognizing before the expression can be manipulated. 2. If your code is used as the r.h.s of the rule, there might appear nested replacement rules, I am not sure if that works. $\endgroup$