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SymDALI is a Mathematica implementation of the DALI algorithm (Derivative Approximation for LIkelihoods), utilizing symbolic differentiation. It is actively being developed for applications in gravitational waves.

Below is a comparison between the corner plot of the DALI approximation at order 8 (Black) and the exact Likelihood (Red) for the w₀-wₐ parametrization of dark energy in a mock cosmology catalog. A sequence of marginalizations of DALI, from order 1 to 9, is also shown. Additional figures can be found here.

Corner Plot of the DALI approximation (Black) at order 8 vs. the exact Likelihood (Red)

Marginalization of the DALI Likelihood (Black Contours) vs. the exact Likelihood (Red Contours) for orders 1 to 9

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