Update to SciMLLogging 2.0

[jClugstor]

Checklist

• Appropriate tests were added
• Any code changes were done in a way that does not break public API
• All documentation related to code changes were updated
• The new code follows the
  contributor guidelines, in particular the SciML Style Guide and
  COLPRAC.
• Any new documentation only uses public API

Additional context

Add any other context about the problem here.

[github-actions]

Benchmark Results

Click to check benchmark results

	master	b8b8036...	master / b8b8036...
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK2()	0.657 ± 0.0023 s	0.654 ± 0.0036 s	1 ± 0.0066
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK3()	13.2 ± 1.1 ms	13.3 ± 0.99 ms	0.996 ± 0.11
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK4()	2.9 ± 0.54 ms	2.93 ± 0.5 ms	0.989 ± 0.25
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK5()	3.47 ± 0.63 ms	3.51 ± 0.64 ms	0.989 ± 0.25
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK6()	1.66 ± 0.37 ms	1.71 ± 0.35 ms	0.971 ± 0.29
Simple Pendulum/IIP/MultipleShooting(10, Tsit5; grid_coarsening = false)	1.81 ± 0.61 ms	1.81 ± 0.59 ms	0.997 ± 0.47
Simple Pendulum/IIP/MultipleShooting(10, Tsit5; grid_coarsening = true)	3.7 ± 1.1 ms	3.7 ± 1.1 ms	1 ± 0.42
Simple Pendulum/IIP/MultipleShooting(100, Tsit5; grid_coarsening = false)	0.0423 ± 0.0076 s	0.0424 ± 0.0082 s	0.996 ± 0.26
Simple Pendulum/IIP/MultipleShooting(100, Tsit5; grid_coarsening = true)	0.0685 ± 0.0069 s	0.0686 ± 0.017 s	0.999 ± 0.27
Simple Pendulum/IIP/Shooting(Tsit5())	0.258 ± 0.088 ms	0.255 ± 0.088 ms	1.01 ± 0.49
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK2()	0.809 ± 0.0084 s	0.815 ± 0.019 s	0.992 ± 0.025
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK3()	16.6 ± 5.9 ms	16.9 ± 6.1 ms	0.982 ± 0.5
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK4()	3.47 ± 0.26 ms	3.51 ± 0.34 ms	0.989 ± 0.12
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK5()	4.28 ± 0.39 ms	4.3 ± 0.49 ms	0.995 ± 0.15
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK6()	1.98 ± 0.51 ms	2 ± 0.52 ms	0.99 ± 0.36
Simple Pendulum/OOP/MultipleShooting(10, Tsit5; grid_coarsening = false)	4.01 ± 3.2 ms	4.06 ± 3.4 ms	0.989 ± 1.1
Simple Pendulum/OOP/MultipleShooting(10, Tsit5; grid_coarsening = true)	7.77 ± 7 ms	7.81 ± 6.8 ms	0.994 ± 1.2
Simple Pendulum/OOP/MultipleShooting(100, Tsit5; grid_coarsening = false)	0.0989 ± 0.0039 s	0.103 ± 0.0065 s	0.963 ± 0.072
Simple Pendulum/OOP/MultipleShooting(100, Tsit5; grid_coarsening = true)	0.154 ± 0.0097 s	0.156 ± 0.0079 s	0.987 ± 0.08
Simple Pendulum/OOP/Shooting(Tsit5())	0.648 ± 0.13 ms	0.637 ± 0.15 ms	1.02 ± 0.31
time_to_load	6.7 ± 0.025 s	6.77 ± 0.018 s	0.99 ± 0.0045

### Benchmark Plots A plot of the benchmark results has been uploaded as an artifact to the workflow run for this PR. Go to "Actions"->"Benchmark a pull request"->[the most recent run]->"Artifacts" (at the bottom).