Add forward mode to line search #1425

Job	Run time
test (Core, 1, ubuntu-latest)	30m 2s
test (Core, 1, macos-latest)	14m 11s
test (Core, 1, windows-latest)	46m 16s
test (Downstream, 1, ubuntu-latest)	9m 18s
test (Downstream, 1, macos-latest)	6m 41s
test (Downstream, 1, windows-latest)	12m 50s
test (Misc, 1, ubuntu-latest)	12m 16s
test (Misc, 1, macos-latest)	9m 13s
test (Misc, 1, windows-latest)	22m 59s
test (Wrappers, 1, ubuntu-latest)	10m 44s
test (Wrappers, 1, macos-latest)	6m 58s
test (Wrappers, 1, windows-latest)	29m 57s
	3h 31m 25s

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