feat: add ExpandDerivativeDict

[AayushSabharwal]

Waiting for verification from JuliaComputing/StateSelection.jl#115

[github-actions]

Benchmark Results (Julia vlts)

Time benchmarks

	master	1116998...	master / 1116998...
ODEProblem	10.2 ± 0.57 ms	10.9 ± 0.73 ms	0.932 ± 0.081
init	0.0716 ± 0.025 ms	0.0721 ± 0.024 ms	0.993 ± 0.48
large_parameter_init/ODEProblem	0.0359 ± 0.0052 s	0.0352 ± 0.0053 s	1.02 ± 0.21
large_parameter_init/init	0.104 ± 0.029 ms	0.0975 ± 0.029 ms	1.07 ± 0.43
mtkcompile	10.6 ± 0.77 ms	11.4 ± 0.68 ms	0.93 ± 0.088
sparse_analytical_jacobian/ODEProblem	31.3 ± 2.9 ms	0.0322 ± 0.0027 s	0.974 ± 0.12
sparse_analytical_jacobian/f_iip	0.07 ± 0.001 μs	0.07 ± 0.001 μs	1 ± 0.02
sparse_analytical_jacobian/f_oop	0.389 ± 0.013 ms	0.388 ± 0.012 ms	1 ± 0.046
time_to_load	5.79 ± 0.046 s	5.8 ± 0.033 s	0.999 ± 0.0098

Memory benchmarks

	master	1116998...	master / 1116998...
ODEProblem	0.0437 M allocs: 2.92 MB	0.0437 M allocs: 2.92 MB	1
init	0.411 k allocs: 0.0695 MB	0.411 k allocs: 0.0695 MB	1
large_parameter_init/ODEProblem	0.338 M allocs: 12.1 MB	0.338 M allocs: 12.1 MB	1
large_parameter_init/init	0.599 k allocs: 0.172 MB	0.599 k allocs: 0.172 MB	1
mtkcompile	0.0596 M allocs: 3.44 MB	0.0596 M allocs: 3.44 MB	1
sparse_analytical_jacobian/ODEProblem	0.206 M allocs: 8.46 MB	0.206 M allocs: 8.46 MB	1
sparse_analytical_jacobian/f_iip	0 allocs: 0 B	0 allocs: 0 B
sparse_analytical_jacobian/f_oop	0.634 k allocs: 19.6 kB	0.634 k allocs: 19.6 kB	1
time_to_load	0.153 k allocs: 14.5 kB	0.153 k allocs: 14.5 kB	1

[github-actions]

Benchmark Results (Julia v1)

Time benchmarks

	master	1116998...	master / 1116998...
ODEProblem	12.6 ± 1.7 ms	10.2 ± 0.83 ms	1.23 ± 0.19
init	0.0783 ± 0.0086 ms	0.0681 ± 0.0087 ms	1.15 ± 0.19
large_parameter_init/ODEProblem	0.0446 ± 0.0038 s	0.0361 ± 0.0045 s	1.23 ± 0.19
large_parameter_init/init	0.0952 ± 0.042 ms	0.0804 ± 0.062 ms	1.18 ± 1.1
mtkcompile	10.7 ± 1.2 ms	8.9 ± 0.48 ms	1.21 ± 0.14
sparse_analytical_jacobian/ODEProblem	0.0363 ± 0.0026 s	28.6 ± 3.2 ms	1.27 ± 0.17
sparse_analytical_jacobian/f_iip	0.08 ± 0 μs	0.08 ± 0.01 μs	1 ± 0.12
sparse_analytical_jacobian/f_oop	0.115 ± 0.013 ms	0.113 ± 0.014 ms	1.02 ± 0.17
time_to_load	5.67 ± 0.12 s	5.36 ± 0.13 s	1.06 ± 0.035

Memory benchmarks

	master	1116998...	master / 1116998...
ODEProblem	0.0513 M allocs: 2.99 MB	0.0513 M allocs: 2.97 MB	1.01
init	0.348 k allocs: 0.0438 MB	0.348 k allocs: 0.0438 MB	1
large_parameter_init/ODEProblem	0.358 M allocs: 13.3 MB	0.358 M allocs: 13.4 MB	0.995
large_parameter_init/init	0.782 k allocs: 0.15 MB	0.782 k allocs: 0.15 MB	1
mtkcompile	0.0572 M allocs: 2.77 MB	0.0572 M allocs: 2.77 MB	1
sparse_analytical_jacobian/ODEProblem	0.2 M allocs: 7.63 MB	0.2 M allocs: 7.63 MB	0.999
sparse_analytical_jacobian/f_iip	0 allocs: 0 B	0 allocs: 0 B
sparse_analytical_jacobian/f_oop	0.848 k allocs: 27 kB	0.848 k allocs: 27 kB	1
time_to_load	0.146 k allocs: 11.4 kB	0.146 k allocs: 11.4 kB	1