diff --git a/backends/ilang/ilang_backend.cc b/backends/ilang/ilang_backend.cc
index 60fb09901..6a6974133 100644
--- a/backends/ilang/ilang_backend.cc
+++ b/backends/ilang/ilang_backend.cc
@@ -113,11 +113,9 @@ void ILANG_BACKEND::dump_sigspec(std::ostream &f, const RTLIL::SigSpec &sig, boo
 
 void ILANG_BACKEND::dump_wire(std::ostream &f, std::string indent, const RTLIL::Wire *wire)
 {
-	std::map<RTLIL::IdString, RTLIL::Const, RTLIL::sort_by_id_str> sorted_attributes(wire->attributes.begin(), wire->attributes.end());
-
-	for (auto it = sorted_attributes.begin(); it != sorted_attributes.end(); ++it) {
-		f << stringf("%s" "attribute %s ", indent.c_str(), it->first.c_str());
-		dump_const(f, it->second);
+	for (auto &it : wire->attributes) {
+		f << stringf("%s" "attribute %s ", indent.c_str(), it.first.c_str());
+		dump_const(f, it.second);
 		f << stringf("\n");
 	}
 	f << stringf("%s" "wire ", indent.c_str());
@@ -138,11 +136,9 @@ void ILANG_BACKEND::dump_wire(std::ostream &f, std::string indent, const RTLIL::
 
 void ILANG_BACKEND::dump_memory(std::ostream &f, std::string indent, const RTLIL::Memory *memory)
 {
-	std::map<RTLIL::IdString, RTLIL::Const, RTLIL::sort_by_id_str> sorted_attributes(memory->attributes.begin(), memory->attributes.end());
-
-	for (auto it = sorted_attributes.begin(); it != sorted_attributes.end(); ++it) {
-		f << stringf("%s" "attribute %s ", indent.c_str(), it->first.c_str());
-		dump_const(f, it->second);
+	for (auto &it : memory->attributes) {
+		f << stringf("%s" "attribute %s ", indent.c_str(), it.first.c_str());
+		dump_const(f, it.second);
 		f << stringf("\n");
 	}
 	f << stringf("%s" "memory ", indent.c_str());
@@ -157,24 +153,20 @@ void ILANG_BACKEND::dump_memory(std::ostream &f, std::string indent, const RTLIL
 
 void ILANG_BACKEND::dump_cell(std::ostream &f, std::string indent, const RTLIL::Cell *cell)
 {
-	std::map<RTLIL::IdString, RTLIL::Const, RTLIL::sort_by_id_str> sorted_attributes(cell->attributes.begin(), cell->attributes.end());
-	std::map<RTLIL::IdString, RTLIL::Const, RTLIL::sort_by_id_str> sorted_parameters(cell->parameters.begin(), cell->parameters.end());
-	std::map<RTLIL::IdString, RTLIL::SigSpec, RTLIL::sort_by_id_str> sorted_connections(cell->connections().begin(), cell->connections().end());
-
-	for (auto it = sorted_attributes.begin(); it != sorted_attributes.end(); ++it) {
-		f << stringf("%s" "attribute %s ", indent.c_str(), it->first.c_str());
-		dump_const(f, it->second);
+	for (auto &it : cell->attributes) {
+		f << stringf("%s" "attribute %s ", indent.c_str(), it.first.c_str());
+		dump_const(f, it.second);
 		f << stringf("\n");
 	}
 	f << stringf("%s" "cell %s %s\n", indent.c_str(), cell->type.c_str(), cell->name.c_str());
-	for (auto it = sorted_parameters.begin(); it != sorted_parameters.end(); ++it) {
-		f << stringf("%s  parameter%s %s ", indent.c_str(), (it->second.flags & RTLIL::CONST_FLAG_SIGNED) != 0 ? " signed" : "", it->first.c_str());
-		dump_const(f, it->second);
+	for (auto &it : cell->parameters) {
+		f << stringf("%s  parameter%s %s ", indent.c_str(), (it.second.flags & RTLIL::CONST_FLAG_SIGNED) != 0 ? " signed" : "", it.first.c_str());
+		dump_const(f, it.second);
 		f << stringf("\n");
 	}
-	for (auto it = sorted_connections.begin(); it != sorted_connections.end(); ++it) {
-		f << stringf("%s  connect %s ", indent.c_str(), it->first.c_str());
-		dump_sigspec(f, it->second);
+	for (auto &it : cell->connections()) {
+		f << stringf("%s  connect %s ", indent.c_str(), it.first.c_str());
+		dump_sigspec(f, it.second);
 		f << stringf("\n");
 	}
 	f << stringf("%s" "end\n", indent.c_str());
@@ -289,52 +281,32 @@ void ILANG_BACKEND::dump_module(std::ostream &f, std::string indent, RTLIL::Modu
 
 	if (print_body)
 	{
-		std::vector<RTLIL::Wire*> sorted_wires;
 		for (auto it : module->wires())
-			sorted_wires.push_back(it);
-		std::sort(sorted_wires.begin(), sorted_wires.end(), RTLIL::sort_by_name_str<RTLIL::Wire>());
-
-		std::vector<RTLIL::Memory*> sorted_memories;
-		for (auto it : module->memories)
-			sorted_memories.push_back(it.second);
-		std::sort(sorted_memories.begin(), sorted_memories.end(), RTLIL::sort_by_name_str<RTLIL::Memory>());
-
-		std::vector<RTLIL::Cell*> sorted_cells;
-		for (auto it : module->cells())
-			sorted_cells.push_back(it);
-		std::sort(sorted_cells.begin(), sorted_cells.end(), RTLIL::sort_by_name_str<RTLIL::Cell>());
-
-		std::vector<RTLIL::Process*> sorted_processes;
-		for (auto it : module->processes)
-			sorted_processes.push_back(it.second);
-		std::sort(sorted_processes.begin(), sorted_processes.end(), RTLIL::sort_by_name_str<RTLIL::Process>());
-
-		for (auto it : sorted_wires)
 			if (!only_selected || design->selected(module, it)) {
 				if (only_selected)
 					f << stringf("\n");
 				dump_wire(f, indent + "  ", it);
 			}
 
-		for (auto it : sorted_memories)
-			if (!only_selected || design->selected(module, it)) {
+		for (auto it : module->memories)
+			if (!only_selected || design->selected(module, it.second)) {
 				if (only_selected)
 					f << stringf("\n");
-				dump_memory(f, indent + "  ", it);
+				dump_memory(f, indent + "  ", it.second);
 			}
 
-		for (auto it : sorted_cells)
+		for (auto it : module->cells())
 			if (!only_selected || design->selected(module, it)) {
 				if (only_selected)
 					f << stringf("\n");
 				dump_cell(f, indent + "  ", it);
 			}
 
-		for (auto it : sorted_processes)
-			if (!only_selected || design->selected(module, it)) {
+		for (auto it : module->processes)
+			if (!only_selected || design->selected(module, it.second)) {
 				if (only_selected)
 					f << stringf("\n");
-				dump_proc(f, indent + "  ", it);
+				dump_proc(f, indent + "  ", it.second);
 			}
 
 		bool first_conn_line = true;
@@ -430,6 +402,8 @@ struct IlangBackend : public Backend {
 		}
 		extra_args(f, filename, args, argidx);
 
+		design->sort();
+
 		log("Output filename: %s\n", filename.c_str());
 		*f << stringf("# Generated by %s\n", yosys_version_str);
 		ILANG_BACKEND::dump_design(*f, design, selected, true, false);
diff --git a/backends/verilog/verilog_backend.cc b/backends/verilog/verilog_backend.cc
index e9f4691b0..ab0844d72 100644
--- a/backends/verilog/verilog_backend.cc
+++ b/backends/verilog/verilog_backend.cc
@@ -1137,6 +1137,8 @@ struct VerilogBackend : public Backend {
 		}
 		extra_args(f, filename, args, argidx);
 
+		design->sort();
+
 		*f << stringf("/* Generated by %s */\n", yosys_version_str);
 		for (auto it = design->modules_.begin(); it != design->modules_.end(); ++it) {
 			if (it->second->get_bool_attribute("\\blackbox") != blackboxes)
diff --git a/kernel/hashlib.h b/kernel/hashlib.h
index 52b38a064..8c977de2f 100644
--- a/kernel/hashlib.h
+++ b/kernel/hashlib.h
@@ -457,6 +457,13 @@ public:
 		return entries[i].udata.second;
 	}
 
+	template<typename Compare = std::less<K>>
+	void sort(Compare comp = Compare())
+	{
+		std::sort(entries.begin(), entries.end(), [comp](const entry_t &a, const entry_t &b){ return comp(b.udata.first, a.udata.first); });
+		do_rehash();
+	}
+
 	void swap(dict &other)
 	{
 		hashtable.swap(other.hashtable);
@@ -760,6 +767,13 @@ public:
 		return i >= 0;
 	}
 
+	template<typename Compare = std::less<K>>
+	void sort(Compare comp = Compare())
+	{
+		std::sort(entries.begin(), entries.end(), [comp](const entry_t &a, const entry_t &b){ return comp(b.udata, a.udata); });
+		do_rehash();
+	}
+
 	void swap(pool &other)
 	{
 		hashtable.swap(other.hashtable);
diff --git a/kernel/rtlil.cc b/kernel/rtlil.cc
index aea993478..3fb98d1e2 100644
--- a/kernel/rtlil.cc
+++ b/kernel/rtlil.cc
@@ -373,6 +373,14 @@ void RTLIL::Design::remove(RTLIL::Module *module)
 	delete module;
 }
 
+void RTLIL::Design::sort()
+{
+	scratchpad.sort();
+	modules_.sort(sort_by_id_str());
+	for (auto &it : modules_)
+		it.second->sort();
+}
+
 void RTLIL::Design::check()
 {
 #ifndef NDEBUG
@@ -976,6 +984,21 @@ namespace {
 }
 #endif
 
+void RTLIL::Module::sort()
+{
+	wires_.sort(sort_by_id_str());
+	cells_.sort(sort_by_id_str());
+	avail_parameters.sort(sort_by_id_str());
+	memories.sort(sort_by_id_str());
+	processes.sort(sort_by_id_str());
+	for (auto &it : cells_)
+		it.second->sort();
+	for (auto &it : wires_)
+		it.second->attributes.sort(sort_by_id_str());
+	for (auto &it : memories)
+		it.second->attributes.sort(sort_by_id_str());
+}
+
 void RTLIL::Module::check()
 {
 #ifndef NDEBUG
@@ -1908,6 +1931,13 @@ const RTLIL::Const &RTLIL::Cell::getParam(RTLIL::IdString paramname) const
 	return parameters.at(paramname);
 }
 
+void RTLIL::Cell::sort()
+{
+	connections_.sort(sort_by_id_str());
+	parameters.sort(sort_by_id_str());
+	attributes.sort(sort_by_id_str());
+}
+
 void RTLIL::Cell::check()
 {
 #ifndef NDEBUG
diff --git a/kernel/rtlil.h b/kernel/rtlil.h
index dae684d98..d8ebae71d 100644
--- a/kernel/rtlil.h
+++ b/kernel/rtlil.h
@@ -788,6 +788,7 @@ struct RTLIL::Design
 	bool scratchpad_get_bool(std::string varname, bool default_value = false) const;
 	std::string scratchpad_get_string(std::string varname, std::string default_value = std::string()) const;
 
+	void sort();
 	void check();
 	void optimize();
 
@@ -863,6 +864,8 @@ public:
 	virtual ~Module();
 	virtual RTLIL::IdString derive(RTLIL::Design *design, dict<RTLIL::IdString, RTLIL::Const> parameters);
 	virtual size_t count_id(RTLIL::IdString id);
+
+	virtual void sort();
 	virtual void check();
 	virtual void optimize();
 
@@ -1136,6 +1139,7 @@ public:
 	void setParam(RTLIL::IdString paramname, RTLIL::Const value);
 	const RTLIL::Const &getParam(RTLIL::IdString paramname) const;
 
+	void sort();
 	void check();
 	void fixup_parameters(bool set_a_signed = false, bool set_b_signed = false);
 
diff --git a/passes/equiv/equiv_induct.cc b/passes/equiv/equiv_induct.cc
index 38a52d754..01b922043 100644
--- a/passes/equiv/equiv_induct.cc
+++ b/passes/equiv/equiv_induct.cc
@@ -100,6 +100,8 @@ struct EquivInductWorker
 			log("  Proof for induction step failed. %s\n", step != max_seq ? "Extending to next time step." : "Trying to prove individual $equiv from workset.");
 		}
 
+		workset.sort();
+
 		for (auto cell : workset)
 		{
 			SigBit bit_a = sigmap(cell->getPort("\\A")).to_single_sigbit();
diff --git a/passes/opt/opt_clean.cc b/passes/opt/opt_clean.cc
index c5b25816c..98f83dffc 100644
--- a/passes/opt/opt_clean.cc
+++ b/passes/opt/opt_clean.cc
@@ -422,6 +422,10 @@ struct CleanPass : public Pass {
 		if (count_rm_cells > 0 || count_rm_wires > 0)
 			log("Removed %d unused cells and %d unused wires.\n", count_rm_cells, count_rm_wires);
 
+		design->optimize();
+		design->sort();
+		design->check();
+
 		ct.clear();
 		ct_reg.clear();
 		ct_all.clear();