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Depends on how you define complexity?

Like when the Apollo guidance computer was made, the bottleneck was making integrated chips so they only made one, the NOR gate, and a whackton of routing to build out an entire CPU. Horribly complex routing, very simplified integrated circuit construction

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In general, no.
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It's about symbolic computation more than calculations.
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Yes, and it's not all that useful there either.

Eg ln is a rather complicated construct, it's not even a function. That's because for complex numbers, e^x is not bijective, and thus its inverse ain't a function.

So using that complicated construct to define something simpler like addition invites extra complexity.

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