diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index a8d067b4f..44df16249 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -590,6 +590,17 @@ component_check_doxygen_warnings () {
 #### Build and test many configurations and targets
 ################################################################
 
+component_test_default_out_of_box () {
+    msg "build: make, default config (out-of-box)" # ~1min
+    make
+
+    msg "test: main suites make, default config (out-of-box)" # ~10s
+    make test
+
+    msg "selftest: make, default config (out-of-box)" # ~10s
+    programs/test/selftest
+}
+
 component_test_default_cmake_gcc_asan () {
     msg "build: cmake, gcc, ASan" # ~ 1 min 50s
     CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
@@ -952,10 +963,16 @@ component_test_m32_o1 () {
     # Build again with -O1, to compile in the i386 specific inline assembly
     msg "build: i386, make, gcc -O1 (ASan build)" # ~ 30s
     scripts/config.pl full
+    scripts/config.pl unset MBEDTLS_MEMORY_BACKTRACE
+    scripts/config.pl unset MBEDTLS_MEMORY_BUFFER_ALLOC_C
+    scripts/config.pl unset MBEDTLS_MEMORY_DEBUG
     make CC=gcc CFLAGS='-O1 -Werror -Wall -Wextra -m32 -fsanitize=address'
 
     msg "test: i386, make, gcc -O1 (ASan build)"
     make test
+
+    msg "test ssl-opt.sh, i386, make, gcc-O1"
+    if_build_succeeded tests/ssl-opt.sh
 }
 support_test_m32_o1 () {
     support_test_m32_o0 "$@"
@@ -1176,10 +1193,8 @@ component_test_valgrind () {
     msg "test: main suites valgrind (Release)"
     make memcheck
 
-    # Optional part(s)
-    # Currently broken, programs don't seem to receive signals
-    # under valgrind on OS X
-
+    # Optional parts (slow; currently broken on OS X because programs don't
+    # seem to receive signals under valgrind on OS X).
     if [ "$MEMORY" -gt 0 ]; then
         msg "test: ssl-opt.sh --memcheck (Release)"
         if_build_succeeded tests/ssl-opt.sh --memcheck