diff --git a/src/gopt/impl/global_layout_transform/dynamic_programming_solver.cpp b/src/gopt/impl/global_layout_transform/dynamic_programming_solver.cpp
index 94f6908b..07dbd544 100644
--- a/src/gopt/impl/global_layout_transform/dynamic_programming_solver.cpp
+++ b/src/gopt/impl/global_layout_transform/dynamic_programming_solver.cpp
@@ -221,6 +221,8 @@ void DynamicProgrammingSolver::Impl::analyze_edges(
         edges[cur].push_back(ov);
         edge2idx[cur].emplace(ov, idx++);
     }
+    if (cur == 0)
+        return;
     cur--;
     for (const auto& opr : reverse_adaptor(topo)) {
         for (const auto& i : opr->input()) {
diff --git a/src/gopt/impl/global_layout_transform/profiling_based_solver.cpp b/src/gopt/impl/global_layout_transform/profiling_based_solver.cpp
index 88da239c..e7039c99 100644
--- a/src/gopt/impl/global_layout_transform/profiling_based_solver.cpp
+++ b/src/gopt/impl/global_layout_transform/profiling_based_solver.cpp
@@ -19,19 +19,41 @@ using namespace mgb;
 using namespace gopt;
 using namespace opr;
 
+namespace {
+using OprFormat = SolverBase::OprFormat;
+template <typename Opr>
+bool check_format_aware_opr_valid(const OperatorNodeBase* opr_, OprFormat opr_format) {
+    auto&& opr = opr_->cast_final_safe<Opr>();
+    return opr.param().format == opr_format;
+}
+}  // namespace
+
 /* =================== ProfilingBasedSolverSolver ======================*/
 ProfilingBasedSolver::ProfilingBasedSolver(std::unique_ptr<ProfilerBase> profiler)
         : m_profiler{std::move(profiler)} {
-    static const ThinHashSet<Typeinfo*> format_aware_oprs = {
-#define cb(_Opr) _Opr::typeinfo()
-            cb(Convolution),    cb(ConvBiasForward), cb(ConvolutionBackwardData),
-            cb(PoolingForward), cb(WarpPerspective), cb(Resize),
-    };
+    static const ThinHashMap<
+            Typeinfo*,
+            thin_function<bool(const OperatorNodeBase*, OprFormat opr_format)>>
+            format_aware_opr_validators = {
+#define cb(t)                                                          \
+    {opr::t::typeinfo(), std::bind(                                    \
+                                 check_format_aware_opr_valid<opr::t>, \
+                                 std::placeholders::_1, std::placeholders::_2)}
+                    cb(Convolution),
+                    cb(ConvBiasForward),
+                    cb(ConvolutionBackwardData),
+                    cb(PoolingForward),
+                    cb(WarpPerspective),
+                    cb(Resize),
+            };
 
-    m_graph_partition_filter = [](const GraphPartition& partition) {
+    m_problem_filter = [](const Problem& problem) {
+        auto&& base_opr_format = problem.attribute().base_opr_format;
         bool has_format_aware_opr = false;
-        for (auto&& opr : partition.all_oprs()) {
-            if (!has_format_aware_opr && format_aware_oprs.count(opr->dyn_typeinfo())) {
+        for (auto&& opr : problem.graph_partition().all_oprs()) {
+            auto iter = format_aware_opr_validators.find(opr->dyn_typeinfo());
+            if (iter != format_aware_opr_validators.end() &&
+                iter->second(opr, base_opr_format)) {
                 has_format_aware_opr = true;
                 break;
             }
@@ -42,8 +64,7 @@ ProfilingBasedSolver::ProfilingBasedSolver(std::unique_ptr<ProfilerBase> profile
 
 ProfilingBasedSolver::Solution ProfilingBasedSolver::solve(
         const Problem& problem) const {
-    const auto& partition = problem.graph_partition();
-    if (!m_graph_partition_filter(partition))
+    if (!m_problem_filter(problem))
         return Solution{};
     return do_solve(problem);
 }
diff --git a/src/gopt/include/megbrain/gopt/solver.h b/src/gopt/include/megbrain/gopt/solver.h
index 2eed1abe..4fa36960 100644
--- a/src/gopt/include/megbrain/gopt/solver.h
+++ b/src/gopt/include/megbrain/gopt/solver.h
@@ -49,18 +49,16 @@ public:
  */
 class ProfilingBasedSolver : public SolverBase {
 public:
-    using GraphPartitionFilter =
-            thin_function<bool(const GraphPartition& graph_partition)>;
+    using ProblemFilter = thin_function<bool(const Problem&)>;
     ProfilingBasedSolver(std::unique_ptr<ProfilerBase> profiler);
     /*!
      * \note some graph partition (for example, graph partition without format
      * aware operators like conv, deconv, warp, resize etc.) will be filtered by
-     * the GraphPartitionFilter, which can reduce the profiling time. */
+     * the ProblemFilter, which can reduce the profiling time. */
     ProfilingBasedSolver(
-            std::unique_ptr<ProfilerBase> profiler,
-            GraphPartitionFilter graph_partition_filter)
+            std::unique_ptr<ProfilerBase> profiler, ProblemFilter problem_filter)
             : m_profiler{std::move(profiler)},
-              m_graph_partition_filter{std::move(graph_partition_filter)} {}
+              m_problem_filter{std::move(problem_filter)} {}
     virtual ~ProfilingBasedSolver() = default;
     Solution solve(const Problem& problem) const override;
     virtual Solution do_solve(const Problem& problem) const = 0;
@@ -69,7 +67,7 @@ protected:
     std::unique_ptr<ProfilerBase> m_profiler;
 
 private:
-    GraphPartitionFilter m_graph_partition_filter;
+    ProblemFilter m_problem_filter;
 };
 
 /*!
@@ -81,10 +79,8 @@ public:
     DynamicProgrammingSolver(std::unique_ptr<ProfilerBase> profiler)
             : ProfilingBasedSolver(std::move(profiler)){};
     DynamicProgrammingSolver(
-            std::unique_ptr<ProfilerBase> profiler,
-            GraphPartitionFilter graph_partition_filter)
-            : ProfilingBasedSolver(
-                      std::move(profiler), std::move(graph_partition_filter)){};
+            std::unique_ptr<ProfilerBase> profiler, ProblemFilter problem_filter)
+            : ProfilingBasedSolver(std::move(profiler), std::move(problem_filter)){};
     ~DynamicProgrammingSolver() noexcept = default;
     Solution do_solve(const Problem& problem) const override;
     bool can_solve(const Problem& problem) const override;