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Fig. 7

Fig. 7 Refer to the following caption and surrounding text.

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Work versus precision for computing the matter power spectrum P(k) with SymBoltz and CLASS. SymBoltz is approximation-free and run with several implicit ODE solvers. CLASS is run with approximations on/off, its implicit/explicit evolvers ndf15/rk, and precision settings in Appendix B, but tight coupling is always approximated. For each setup, P(k) is computed by integrating perturbation k-modes with ODE solver tolerances 10−2-10−9 that controls the adaptive stepping. For each tolerance, we record the best of 3 runtimes and the L2-compressed error (i=1N(P(ki)/P¯(ki)1)2/N)1/2Mathematical equation: $\smash{\big(\sum_{i=1}^N \!\big(P(k_i)/\bar{P}(k_i)-1\big)^2/N\big)^{1/2}}$ relative to high-precision spectra P(k) from both codes with approximations off, tolerance 10−10, and FBDF/ndf15. Both codes solve a w0waCDM model with equal parameters, N = 114 equal wavenumbers ki, multipole cutoff lmax = 16 for all species, default sampling of massive neutrino momenta, and parallelization over k. Times are from a Linux laptop with an Intel i7-12800H CPU.

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