diff --git a/bisect.c b/bisect.c
index eee1f6f138..9599c58fd8 100644
--- a/bisect.c
+++ b/bisect.c
@@ -37,7 +37,7 @@ static const char *term_good;
  * We care just barely enough to avoid recursing for
  * non-merge entries.
  */
-static int count_distance(struct commit_list *entry, int first_parent_only)
+static int count_distance(struct commit_list *entry, unsigned bisect_flags)
 {
 	int nr = 0;
 
@@ -52,10 +52,10 @@ static int count_distance(struct commit_list *entry, int first_parent_only)
 		commit->object.flags |= COUNTED;
 		p = commit->parents;
 		entry = p;
-		if (p && !first_parent_only) {
+		if (p && !(bisect_flags & BISECT_FIRST_PARENT)) {
 			p = p->next;
 			while (p) {
-				nr += count_distance(p, first_parent_only);
+				nr += count_distance(p, bisect_flags);
 				p = p->next;
 			}
 		}
@@ -88,7 +88,7 @@ static inline void weight_set(struct commit_list *elem, int weight)
 	**commit_weight_at(&commit_weight, elem->item) = weight;
 }
 
-static int count_interesting_parents(struct commit *commit, int first_parent_only)
+static int count_interesting_parents(struct commit *commit, unsigned bisect_flags)
 {
 	struct commit_list *p;
 	int count;
@@ -96,7 +96,7 @@ static int count_interesting_parents(struct commit *commit, int first_parent_onl
 	for (count = 0, p = commit->parents; p; p = p->next) {
 		if (!(p->item->object.flags & UNINTERESTING))
 			count++;
-		if (first_parent_only)
+		if (bisect_flags & BISECT_FIRST_PARENT)
 			break;
 	}
 	return count;
@@ -260,7 +260,7 @@ static struct commit_list *best_bisection_sorted(struct commit_list *list, int n
  */
 static struct commit_list *do_find_bisection(struct commit_list *list,
 					     int nr, int *weights,
-					     int find_all, int first_parent_only)
+					     unsigned bisect_flags)
 {
 	int n, counted;
 	struct commit_list *p;
@@ -272,7 +272,7 @@ static struct commit_list *do_find_bisection(struct commit_list *list,
 		unsigned flags = commit->object.flags;
 
 		*commit_weight_at(&commit_weight, p->item) = &weights[n++];
-		switch (count_interesting_parents(commit, first_parent_only)) {
+		switch (count_interesting_parents(commit, bisect_flags)) {
 		case 0:
 			if (!(flags & TREESAME)) {
 				weight_set(p, 1);
@@ -315,11 +315,11 @@ static struct commit_list *do_find_bisection(struct commit_list *list,
 			continue;
 		if (weight(p) != -2)
 			continue;
-		weight_set(p, count_distance(p, first_parent_only));
+		weight_set(p, count_distance(p, bisect_flags));
 		clear_distance(list);
 
 		/* Does it happen to be at exactly half-way? */
-		if (!find_all && halfway(p, nr))
+		if (!(bisect_flags & BISECT_FIND_ALL) && halfway(p, nr))
 			return p;
 		counted++;
 	}
@@ -342,7 +342,7 @@ static struct commit_list *do_find_bisection(struct commit_list *list,
 			for (q = p->item->parents; q; q = q->next) {
 				if (!(q->item->object.flags & UNINTERESTING) && 0 <= weight(q)) {
 					break;
-				} else if (first_parent_only) {
+				} else if (bisect_flags & BISECT_FIRST_PARENT) {
 					q = NULL;
 					break;
 				}
@@ -365,21 +365,21 @@ static struct commit_list *do_find_bisection(struct commit_list *list,
 				weight_set(p, weight(q));
 
 			/* Does it happen to be at exactly half-way? */
-			if (!find_all && halfway(p, nr))
+			if (!(bisect_flags & BISECT_FIND_ALL) && halfway(p, nr))
 				return p;
 		}
 	}
 
 	show_list("bisection 2 counted all", counted, nr, list);
 
-	if (!find_all)
+	if (!(bisect_flags & BISECT_FIND_ALL))
 		return best_bisection(list, nr);
 	else
 		return best_bisection_sorted(list, nr);
 }
 
 void find_bisection(struct commit_list **commit_list, int *reaches,
-		    int *all, int find_all, int first_parent_only)
+		    int *all, unsigned bisect_flags)
 {
 	int nr, on_list;
 	struct commit_list *list, *p, *best, *next, *last;
@@ -415,9 +415,9 @@ void find_bisection(struct commit_list **commit_list, int *reaches,
 	weights = xcalloc(on_list, sizeof(*weights));
 
 	/* Do the real work of finding bisection commit. */
-	best = do_find_bisection(list, nr, weights, find_all, first_parent_only);
+	best = do_find_bisection(list, nr, weights, bisect_flags);
 	if (best) {
-		if (!find_all) {
+		if (!(bisect_flags & BISECT_FIND_ALL)) {
 			list->item = best->item;
 			free_commit_list(list->next);
 			best = list;
@@ -1007,23 +1007,30 @@ enum bisect_error bisect_next_all(struct repository *r, const char *prefix, int
 	enum bisect_error res = BISECT_OK;
 	struct object_id *bisect_rev;
 	char *steps_msg;
-	int first_parent_only = read_first_parent_option();
+	unsigned bisect_flags = 0;
 
 	read_bisect_terms(&term_bad, &term_good);
 	if (read_bisect_refs())
 		die(_("reading bisect refs failed"));
 
+	if (read_first_parent_option())
+		bisect_flags |= BISECT_FIRST_PARENT;
+
+	if (!!skipped_revs.nr)
+		bisect_flags |= BISECT_FIND_ALL;
+
 	res = check_good_are_ancestors_of_bad(r, prefix, no_checkout);
 	if (res)
 		return res;
 
 	bisect_rev_setup(r, &revs, prefix, "%s", "^%s", 1);
-	revs.first_parent_only = first_parent_only;
+
+	revs.first_parent_only = !!(bisect_flags & BISECT_FIRST_PARENT);
 	revs.limited = 1;
 
 	bisect_common(&revs);
 
-	find_bisection(&revs.commits, &reaches, &all, !!skipped_revs.nr, first_parent_only);
+	find_bisection(&revs.commits, &reaches, &all, bisect_flags);
 	revs.commits = managed_skipped(revs.commits, &tried);
 
 	if (!revs.commits) {
diff --git a/bisect.h b/bisect.h
index 8ee80f5b48..402ddcfb5e 100644
--- a/bisect.h
+++ b/bisect.h
@@ -12,7 +12,7 @@ struct repository;
  * best commit, as chosen by `find_all`.
  */
 void find_bisection(struct commit_list **list, int *reaches, int *all,
-		    int find_all, int first_parent_only);
+		    unsigned bisect_flags);
 
 struct commit_list *filter_skipped(struct commit_list *list,
 				   struct commit_list **tried,
@@ -23,6 +23,9 @@ struct commit_list *filter_skipped(struct commit_list *list,
 #define BISECT_SHOW_ALL		(1<<0)
 #define REV_LIST_QUIET		(1<<1)
 
+#define BISECT_FIND_ALL		(1u<<0)
+#define BISECT_FIRST_PARENT	(1u<<1)
+
 struct rev_list_info {
 	struct rev_info *revs;
 	int flags;
diff --git a/builtin/rev-list.c b/builtin/rev-list.c
index d1a14596b2..1536ea6f28 100644
--- a/builtin/rev-list.c
+++ b/builtin/rev-list.c
@@ -637,8 +637,15 @@ int cmd_rev_list(int argc, const char **argv, const char *prefix)
 
 	if (bisect_list) {
 		int reaches, all;
+		unsigned bisect_flags = 0;
 
-		find_bisection(&revs.commits, &reaches, &all, bisect_find_all, revs.first_parent_only);
+		if (bisect_find_all)
+			bisect_flags |= BISECT_FIND_ALL;
+
+		if (revs.first_parent_only)
+			bisect_flags |= BISECT_FIRST_PARENT;
+
+		find_bisection(&revs.commits, &reaches, &all, bisect_flags);
 
 		if (bisect_show_vars)
 			return show_bisect_vars(&info, reaches, all);
