SymDALI is a Mathematica implementation of DALI with symbolic differentiation. It is actively being developed for applications in gravitational waves.

An example application is show in this Figure. It is the exact likelihood (black), Fisher approximation (blue), DALI order 2 (red) and DALI order 3 (green). The event has SNR of 109. The assumed network was 2 ET L-shaped and 1 CE detectors. The waveform is IMRPhenomD and it includes the extra parameters from the TIGER framework, from inspiral to ringdown. This examples uses the parameter \delta_1.

The DALI order 2 result takes around ~ 15 minutes (using emcee) to run, while the exact likelihood takes around 13 hours (using nessai). We have released an arXiv manuscript on the use of DALI for TIGER parameters with IMRPhenomD, see 2609.38399, we discuss the approximation quality and performance gains in detail.

At the moment this repository supports the calculation of DALI tensors to order 4 for IMRPhenomD and IMRPhenomHM. The file UserGuide.wl in Demo has some examples on how to use part of the functionality of the code. Right now it is fully functional on MacOs Apple Silicon M1. I am currently testing the Windows and Linux functionality. A "Read the Docs" page is also under development.