diff --git a/NEWS b/NEWS
index d421d16ae..28a6d6305 100644
--- a/NEWS
+++ b/NEWS
@@ -10,6 +10,9 @@ New in spot 2.1.0a (not yet released)
     or to group formulas by number of atomic propositions:
        genltl --dac --output='ap-%a.ltl'
 
+  * autfilt --stats learned the missing %D, %N, %P, and %W sequences,
+    to complete the existing %d, %n, %p, and %w.
+
   Bugs fixed:
 
   * Fix several cases where command-line tools would fail to diagnose
diff --git a/bin/common_aoutput.cc b/bin/common_aoutput.cc
index fdc288920..3083d1ecf 100644
--- a/bin/common_aoutput.cc
+++ b/bin/common_aoutput.cc
@@ -169,16 +169,16 @@ static const argp_option io_options[] =
       "acceptance condition (in HOA syntax)", 0 },
     { "%C, %c", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
       "number of SCCs", 0 },
-    { "%n", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
-      "number of nondeterministic states in output", 0 },
-    { "%d", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
-      "1 if the output is deterministic, 0 otherwise", 0 },
-    { "%p", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
-      "1 if the output is complete, 0 otherwise", 0 },
+    { "%N, %n", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
+      "number of nondeterministic states", 0 },
+    { "%D, %d", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
+      "1 if the automaton is deterministic, 0 otherwise", 0 },
+    { "%P, %p", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
+      "1 if the automaton is complete, 0 otherwise", 0 },
     { "%r", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
       "processing time (excluding parsing) in seconds", 0 },
-    { "%w", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
-      "one word accepted by the output automaton", 0 },
+    { "%W, %w", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
+      "one word accepted by the automaton", 0 },
     { "%%", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
       "a single %", 0 },
     { "%<", 0, nullptr, OPTION_DOC | OPTION_NO_USAGE,
diff --git a/bin/common_aoutput.hh b/bin/common_aoutput.hh
index 4508b8f69..a56411ea2 100644
--- a/bin/common_aoutput.hh
+++ b/bin/common_aoutput.hh
@@ -90,12 +90,16 @@ public:
       {
         declare('A', &haut_acc_);
         declare('C', &haut_scc_);
+        declare('D', &haut_deterministic_);
         declare('E', &haut_edges_);
         declare('G', &haut_gen_acc_);
         declare('H', &input_aut_);
         declare('M', &haut_name_);
+        declare('N', &haut_nondetstates_);
+        declare('P', &haut_complete_);
         declare('S', &haut_states_);
         declare('T', &haut_trans_);
+        declare('W', &haut_word_);
       }
     declare('<', &csv_prefix_);
     declare('>', &csv_suffix_);
@@ -172,12 +176,39 @@ public:
         if (has('C'))
           haut_scc_ = spot::scc_info(haut->aut).scc_count();
 
+        if (has('N'))
+          {
+            haut_nondetstates_ = count_nondet_states(haut->aut);
+            haut_deterministic_ = (haut_nondetstates_ == 0);
+          }
+        else if (has('D'))
+          {
+            // This is more efficient than calling count_nondet_state().
+            haut_deterministic_ = is_deterministic(haut->aut);
+          }
+
+        if (has('p'))
+          haut_complete_ = is_complete(haut->aut);
+
         if (has('G'))
           {
             std::ostringstream os;
             os << haut->aut->get_acceptance();
             haut_gen_acc_ = os.str();
           }
+        if (has('W'))
+          {
+            if (auto word = haut->aut->accepting_word())
+              {
+                std::ostringstream out;
+                out << *word;
+                haut_word_ = out.str();
+              }
+            else
+              {
+                haut_word_.val().clear();
+              }
+          }
       }
 
     if (has('m'))
@@ -217,12 +248,16 @@ private:
   spot::printable_value<std::string> haut_name_;
   spot::printable_value<std::string> aut_name_;
   spot::printable_value<std::string> aut_word_;
+  spot::printable_value<std::string> haut_word_;
   spot::printable_value<std::string> haut_gen_acc_;
   spot::printable_value<unsigned> haut_states_;
   spot::printable_value<unsigned> haut_edges_;
   spot::printable_value<unsigned> haut_trans_;
   spot::printable_value<unsigned> haut_acc_;
   spot::printable_value<unsigned> haut_scc_;
+  spot::printable_value<unsigned> haut_deterministic_;
+  spot::printable_value<unsigned> haut_nondetstates_;
+  spot::printable_value<unsigned> haut_complete_;
   spot::printable_value<const char*> csv_prefix_;
   spot::printable_value<const char*> csv_suffix_;
   printable_automaton input_aut_;
diff --git a/tests/core/format.test b/tests/core/format.test
index 157953e6c..9463a425d 100644
--- a/tests/core/format.test
+++ b/tests/core/format.test
@@ -1,4 +1,4 @@
-#! /bin/sh
+#!/bin/sh
 # -*- coding: utf-8 -*-
 # Copyright (C) 2016 Laboratoire de Recherche et Développement de
 # l'Epita (LRDE).
@@ -50,3 +50,9 @@ genltl --dac --output='ap-%a.ltl2'
 for i in 1 2 3 4 5 6; do
   cmp ap-$i.ltl ap-$i.ltl2 || exit 1
 done
+
+out=`ltl2tgba -f 'GFa' | autfilt --stats='%W,%w' --complement`
+test "$out" = "cycle{a},cycle{!a}"
+test "0,1,0,1" = "`ltl2tgba FGa | autfilt -D --stats='%D,%d,%P,%p'`"
+test "0,0,0,1" = "`ltl2tgba FGa | autfilt -C --stats='%D,%d,%P,%p'`"
+test "1,0" = "`ltl2tgba FGa | autfilt -D --stats='%N,%n'`"