diff --git a/src/math/acosh.c b/src/math/acosh.c
index d6a5332..a1cc1d9 100644
--- a/src/math/acosh.c
+++ b/src/math/acosh.c
@@ -34,6 +34,8 @@ int main(void)
 		}
 		d = ulperr(y, p->y, p->dy);
 		if (!checkulp(d, p->r)) {
+			// only report at most one <2ulp error
+			if (fabsf(d) < 2 && err) continue;
 			printf("%s:%d: %s acosh(%a) want %a got %a ulperr %.3f = %a + %a\n",
 				p->file, p->line, rstr(p->r), p->x, p->y, y, d, d-p->dy, p->dy);
 			err++;
diff --git a/src/math/asinh.c b/src/math/asinh.c
index 7c82fc2..0d28fff 100644
--- a/src/math/asinh.c
+++ b/src/math/asinh.c
@@ -34,6 +34,8 @@ int main(void)
 		}
 		d = ulperr(y, p->y, p->dy);
 		if (!checkulp(d, p->r)) {
+			// only report at most one <2ulp error
+			if (fabsf(d) < 2 && err) continue;
 			printf("%s:%d: %s asinh(%a) want %a got %a ulperr %.3f = %a + %a\n",
 				p->file, p->line, rstr(p->r), p->x, p->y, y, d, d-p->dy, p->dy);
 			err++;