diff --git a/test/CMakeLists.txt b/test/CMakeLists.txt
index 3909efc90..1c512f18a 100644
--- a/test/CMakeLists.txt
+++ b/test/CMakeLists.txt
@@ -140,6 +140,7 @@ ADD_HEYOKA_TESTCASE(model_fixed_centres)
 ADD_HEYOKA_TESTCASE(model_rotating)
 ADD_HEYOKA_TESTCASE(model_mascon)
 ADD_HEYOKA_TESTCASE(step_callback)
+ADD_HEYOKA_TESTCASE(llvm_state_mem_cache)
 
 if(HEYOKA_WITH_MPPP AND mp++_WITH_MPFR)
   ADD_HEYOKA_TESTCASE(event_detection_mp)
diff --git a/test/llvm_state_mem_cache.cpp b/test/llvm_state_mem_cache.cpp
new file mode 100644
index 000000000..9a67855f8
--- /dev/null
+++ b/test/llvm_state_mem_cache.cpp
@@ -0,0 +1,55 @@
+// Copyright 2020, 2021, 2022, 2023 Francesco Biscani (bluescarni@gmail.com), Dario Izzo (dario.izzo@gmail.com)
+//
+// This file is part of the heyoka library.
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include <heyoka/llvm_state.hpp>
+#include <heyoka/model/pendulum.hpp>
+#include <heyoka/taylor.hpp>
+
+#include "catch.hpp"
+
+using namespace heyoka;
+
+TEST_CASE("basic")
+{
+    REQUIRE(llvm_state::get_memcache_size() == 0u);
+    REQUIRE(llvm_state::get_memcache_limit() > 0u);
+
+    auto ta = taylor_adaptive<double>{model::pendulum(), {1., 0.}};
+
+    auto cache_size = llvm_state::get_memcache_size();
+    REQUIRE(cache_size > 0u);
+
+    ta = taylor_adaptive<double>{model::pendulum(), {1., 0.}};
+
+    REQUIRE(llvm_state::get_memcache_size() == cache_size);
+
+    ta = taylor_adaptive<double>{model::pendulum(), {1., 0.}, kw::opt_level = 2u};
+
+    REQUIRE(llvm_state::get_memcache_size() > cache_size);
+    cache_size = llvm_state::get_memcache_size();
+
+    ta = taylor_adaptive<double>{model::pendulum(), {1., 0.}, kw::opt_level = 2u, kw::tol = 1e-12};
+    REQUIRE(llvm_state::get_memcache_size() > cache_size);
+
+    llvm_state::clear_memcache();
+    REQUIRE(llvm_state::get_memcache_size() == 0u);
+
+    ta = taylor_adaptive<double>{model::pendulum(), {1., 0.}};
+    cache_size = llvm_state::get_memcache_size();
+
+    llvm_state::set_memcache_limit(cache_size);
+    ta = taylor_adaptive<double>{model::pendulum(), {1., 0.}, kw::tol = 1e-12};
+
+    REQUIRE(llvm_state::get_memcache_size() < cache_size);
+
+    llvm_state::set_memcache_limit(0);
+
+    ta = taylor_adaptive<double>{model::pendulum(), {1., 0.}, kw::tol = 1e-11};
+
+    REQUIRE(llvm_state::get_memcache_size() == 0u);
+}