diff --git a/include/jemalloc/internal/arena.h b/include/jemalloc/internal/arena.h
index b195daf0..232e9a61 100644
--- a/include/jemalloc/internal/arena.h
+++ b/include/jemalloc/internal/arena.h
@@ -983,7 +983,6 @@ arena_malloc(tsd_t *tsd, arena_t *arena, size_t size, bool zero,
 {
 
 	assert(size != 0);
-	assert(size <= arena_maxclass);
 
 	arena = arena_choose(tsd, arena);
 	if (unlikely(arena == NULL))
@@ -1031,7 +1030,6 @@ arena_salloc(const void *ptr, bool demote)
 	index_t binind;
 
 	assert(ptr != NULL);
-	assert(CHUNK_ADDR2BASE(ptr) != ptr);
 
 	chunk = (arena_chunk_t *)CHUNK_ADDR2BASE(ptr);
 	if (likely(chunk != ptr)) {
diff --git a/test/integration/mallocx.c b/test/integration/mallocx.c
index 123e041f..23129c20 100644
--- a/test/integration/mallocx.c
+++ b/test/integration/mallocx.c
@@ -2,34 +2,37 @@
 
 #define	CHUNK 0x400000
 #define	MAXALIGN (((size_t)1) << 25)
+#define	MAXSZ (((size_t)1) << 26)
 #define	NITER 4
 
 TEST_BEGIN(test_basic)
 {
-	size_t nsz, rsz, sz;
-	void *p;
+	size_t sz;
 
-	sz = 42;
-	nsz = nallocx(sz, 0);
-	assert_zu_ne(nsz, 0, "Unexpected nallocx() error");
-	p = mallocx(sz, 0);
-	assert_ptr_not_null(p, "Unexpected mallocx() error");
-	rsz = sallocx(p, 0);
-	assert_zu_ge(rsz, sz, "Real size smaller than expected");
-	assert_zu_eq(nsz, rsz, "nallocx()/sallocx() size mismatch");
-	dallocx(p, 0);
+	for (sz = 1; sz < MAXSZ; sz = nallocx(sz, 0) + 1) {
+		size_t nsz, rsz;
+		void *p;
+		nsz = nallocx(sz, 0);
+		assert_zu_ne(nsz, 0, "Unexpected nallocx() error");
+		p = mallocx(sz, 0);
+		assert_ptr_not_null(p, "Unexpected mallocx() error");
+		rsz = sallocx(p, 0);
+		assert_zu_ge(rsz, sz, "Real size smaller than expected");
+		assert_zu_eq(nsz, rsz, "nallocx()/sallocx() size mismatch");
+		dallocx(p, 0);
 
-	p = mallocx(sz, 0);
-	assert_ptr_not_null(p, "Unexpected mallocx() error");
-	dallocx(p, 0);
+		p = mallocx(sz, 0);
+		assert_ptr_not_null(p, "Unexpected mallocx() error");
+		dallocx(p, 0);
 
-	nsz = nallocx(sz, MALLOCX_ZERO);
-	assert_zu_ne(nsz, 0, "Unexpected nallocx() error");
-	p = mallocx(sz, MALLOCX_ZERO);
-	assert_ptr_not_null(p, "Unexpected mallocx() error");
-	rsz = sallocx(p, 0);
-	assert_zu_eq(nsz, rsz, "nallocx()/sallocx() rsize mismatch");
-	dallocx(p, 0);
+		nsz = nallocx(sz, MALLOCX_ZERO);
+		assert_zu_ne(nsz, 0, "Unexpected nallocx() error");
+		p = mallocx(sz, MALLOCX_ZERO);
+		assert_ptr_not_null(p, "Unexpected mallocx() error");
+		rsz = sallocx(p, 0);
+		assert_zu_eq(nsz, rsz, "nallocx()/sallocx() rsize mismatch");
+		dallocx(p, 0);
+	}
 }
 TEST_END