Perform Bootstrap during Chebyshev Evaluation

Hello, as the title says, I was wondering if it is possible to perform bootstrap in between a deep Chebyshev Evaluation?

For instance, degree 119 needs 8 level, can i perform 4 levels, bootstrap and another 4 levels?


It would be quite problematic as the Chebyshev series evaluation is treated as one “atomic” operation. Under the hood, multiple terms are pre-computed, so bootstrapping of multiple ciphertexts would probably be needed. So the short answer is no.