diff --git a/spot/twacube_algos/convert.cc b/spot/twacube_algos/convert.cc
index e49194b90..1c25fe19a 100644
--- a/spot/twacube_algos/convert.cc
+++ b/spot/twacube_algos/convert.cc
@@ -184,7 +184,6 @@ namespace spot
     return res;
   }
 
-  // FIXME this code is very close to twacube_to_twa, can we merge both?
   bool are_equivalent(const spot::twacube_ptr twacube,
                       const spot::const_twa_graph_ptr twa)
   {
@@ -206,48 +205,7 @@ namespace spot
       throw std::runtime_error("are_equivalent: not working on the same "
                                "atomic propositions");
 
-    // Grab necessary variables
-    auto& theg = twacube->get_graph();
-    spot::cubeset cs = twacube->get_cubeset();
-
-    auto d = twa->get_dict();
-    auto res = make_twa_graph(d);
-
-    // Fix the acceptance of the resulting automaton
-    res->acc() = twacube->acc();
-
-    // Grep bdd id for each atomic propositions
-    std::vector<int> bdds_ref;
-    for (unsigned i = 0; i < aps_twacube.size(); ++i)
-      bdds_ref.push_back(res->register_ap(twacube->ap()[i]));
-
-    // Build all resulting states
-    for (unsigned int i = 0; i < theg.num_states(); ++i)
-      {
-        unsigned st = res->new_state();
-        (void) st;
-        assert(st == i);
-      }
-
-    // Build all resulting conditions.
-    for (unsigned int i = 1; i <= theg.num_edges(); ++i)
-      {
-        bdd cond = bddtrue;
-        for (unsigned j = 0; j < cs.size(); ++j)
-          {
-            if (cs.is_true_var(theg.edge_data(i).cube_, j))
-              cond &= bdd_ithvar(bdds_ref[j]);
-            else if (cs.is_false_var(theg.edge_data(i).cube_, j))
-              cond &= bdd_nithvar(bdds_ref[j]);
-            // otherwise it 's a free variable do nothing
-          }
-
-        res->new_edge(theg.edge_storage(i).src, theg.edge_storage(i).dst,
-                      cond, theg.edge_data(i).acc_);
-      }
-
-    // Fix the initial state
-    res->set_init_state(twacube->get_initial());
+    auto res = twacube_to_twa(twacube, twa->get_dict());
 
     bool result =  are_equivalent(res, twa);
     delete aps_twa;