Write a new class derived from Tie::Scalar. In its FETCH() method, create the constant with Math::BigFloat, then replace the tied scalar with the constant. The float will only be created on the first access.
Disclaimer: I have not (yet) tried this, but I'm pretty confident.
Update: I have tried this, and I'm reinventing Oroborous. It's not as easy as it first sounded.
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