refactor: splitting up of NonlinearSolve #243

Job	Run time
downgrade (1.10, Core)	16m 8s
downgrade (1.10, Downstream)	8m 15s
test (Core, 1.10, ubuntu-latest)	14m 52s
downgrade (1.10, Wrappers)	10m 11s
test (Core, 1.10, macos-latest)	14m 24s
test (Core, 1.10, windows-latest)	18m 51s
test (Core, 1, ubuntu-latest)	26m 46s
test (Core, 1, macos-latest)	17m 25s
test (Core, 1, windows-latest)	31m 52s
test (Downstream, 1.10, ubuntu-latest)	7m 55s
test (Downstream, 1.10, macos-latest)	5m 58s
test (Downstream, 1.10, windows-latest)	11m 37s
test (Downstream, 1, ubuntu-latest)	17m 5s
test (Downstream, 1, macos-latest)	10m 16s
test (Downstream, 1, windows-latest)	21m 32s
test (Wrappers, 1.10, ubuntu-latest)	9m 27s
test (Wrappers, 1.10, macos-latest)	6m 22s
test (Wrappers, 1.10, windows-latest)	12m 29s
test (Wrappers, 1, ubuntu-latest)	19m 28s
test (Wrappers, 1, macos-latest)	11m 21s
test (Wrappers, 1, windows-latest)	22m 51s
	5h 15m 5s

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