refactor: Move NonlinearSolvePolyAlgorithm to Base #276

Job	Run time
downgrade (1.10, core)	16m 23s
downgrade (1.10, downstream)	8m 34s
test (core, 1.10, ubuntu-latest)	16m 18s
downgrade (1.10, wrappers)	10m 18s
test (core, 1.10, macos-latest)	11m 58s
test (core, 1.10, windows-latest)	26m 18s
test (core, 1, ubuntu-latest)	27m 46s
test (core, 1, macos-latest)	19m 26s
test (core, 1, windows-latest)	40m 18s
test (downstream, 1.10, ubuntu-latest)	8m 7s
test (downstream, 1.10, macos-latest)	5m 58s
test (downstream, 1.10, windows-latest)	10m 46s
test (downstream, 1, ubuntu-latest)	17m 10s
test (downstream, 1, macos-latest)	13m 1s
test (downstream, 1, windows-latest)	22m 12s
test (wrappers, 1.10, ubuntu-latest)	9m 27s
test (wrappers, 1.10, macos-latest)	5m 58s
test (wrappers, 1.10, windows-latest)	12m 36s
test (wrappers, 1, ubuntu-latest)	18m 55s
test (wrappers, 1, macos-latest)	14m 46s
test (wrappers, 1, windows-latest)	23m 12s
	5h 39m 27s

Provide feedback