diff --git a/NEWS b/NEWS
index 8284ce0cc..022609fa9 100644
--- a/NEWS
+++ b/NEWS
@@ -38,11 +38,8 @@ New in spot 2.9.8.dev (not yet released)
     a strategy for each subformula before recombining them into a
     circuit.
 
-  - ltlsynt -x "minimization-level=[0-5]" determines how to minimize
-    the strategy (a monitor). 0, no minimization; 1, regular DFA
-    minimization; 2, signature based minimization with
-    output assignement; 3, SAT based minimization; 4, 1 then 3;
-    5, 2 then 3.
+  - ltlsynt --simplify=no|bisim|bwoa|sat|bisim-sat|bwoa-sat
+    specifies how to simplify the synthesized controler.
 
   - ltl2tgba, autfilt, dstar2tgba, and randaut learned a --buchi
     option, or -b for short.  This outputs Büchi automata without
diff --git a/bin/ltlsynt.cc b/bin/ltlsynt.cc
index 9047046ef..29dd5ce0c 100644
--- a/bin/ltlsynt.cc
+++ b/bin/ltlsynt.cc
@@ -51,6 +51,7 @@ enum
   OPT_PRINT_AIGER,
   OPT_PRINT_HOA,
   OPT_REAL,
+  OPT_SIMPLIFY,
   OPT_VERBOSE,
   OPT_VERIFY
 };
@@ -78,7 +79,13 @@ static const argp_option options[] =
       " \"lar.old\": old version of LAR, for benchmarking.\n", 0 },
     { "decompose", OPT_DECOMPOSE, "yes|no", 0,
       "whether to decompose the specification as multiple output-disjoint "
-      "problems to solve independently (enabled by default)", 0},
+      "problems to solve independently (enabled by default)", 0 },
+    { "simplify", OPT_SIMPLIFY, "no|bisim|bwoa|sat|bisim-sat|bwoa-sat", 0,
+      "simplification to apply to the controler (no) nothing, "
+      "(bisim) bisimulation-based reduction, (bwoa) bissimulation-based "
+      "reduction with output assignment, (sat) SAT-based minimization, "
+      "(bisim-sat) SAT after bisim, (bwoa-sat) SAT after bwoa.  Defaults "
+      "to 'bwoa'.", 0 },
     /**************************************************/
     { nullptr, 0, nullptr, 0, "Output options:", 20 },
     { "print-pg", OPT_PRINT, nullptr, 0,
@@ -182,6 +189,27 @@ static bool decompose_values[] =
 ARGMATCH_VERIFY(decompose_args, decompose_values);
 bool opt_decompose_ltl = true;
 
+static const char* const simplify_args[] =
+  {
+    "no", "false", "disabled", "0",
+    "bisim", "1",
+    "bwoa", "bisim-with-output-assignment", "2",
+    "sat", "3",
+    "bisim-sat", "4",
+    "bwoa-sat", "5",
+    nullptr
+  };
+static unsigned simplify_values[] =
+  {
+    0, 0, 0, 0,
+    1, 1,
+    2, 2, 2,
+    3, 3,
+    4, 4,
+    5, 5,
+  };
+ARGMATCH_VERIFY(simplify_args, simplify_values);
+
 namespace
 {
   auto str_tolower = [] (std::string s)
@@ -389,11 +417,12 @@ namespace
             {
               spot::stopwatch sw_min;
               sw_min.start();
-              bool do_split = 3 <= gi->opt.get("minimization-level", 1);
+              unsigned simplify = gi->minimize_lvl;
+              bool do_split = 3 <= simplify;
               if (do_split)
                 split_2step_fast_here(strat.strat_like,
                     spot::get_synthesis_outputs(strat.strat_like));
-              minimize_strategy_here(strat.strat_like, gi->minimize_lvl);
+              minimize_strategy_here(strat.strat_like, simplify);
               if (do_split)
                 strat.strat_like = spot::unsplit_2step(strat.strat_like);
               auto delta = sw_min.stop();
@@ -619,6 +648,10 @@ parse_opt(int key, char *arg, struct argp_state *)
     case OPT_REAL:
       opt_real = true;
       break;
+    case OPT_SIMPLIFY:
+      gi->minimize_lvl = XARGMATCH("--simplify", arg,
+                                   simplify_args, simplify_values);
+      break;
     case OPT_VERBOSE:
       gi->verbose_stream = &std::cerr;
       if (not gi->bv)
@@ -632,8 +665,6 @@ parse_opt(int key, char *arg, struct argp_state *)
         const char* opt = gi->opt.parse_options(arg);
         if (opt)
           error(2, 0, "failed to parse --options near '%s'", opt);
-        // Dispatch the options to the gi structure
-        gi->minimize_lvl = gi->opt.get("minimization-level", 1);
       }
       break;
     }
diff --git a/bin/spot-x.cc b/bin/spot-x.cc
index 4977c8e42..c4905c2e9 100644
--- a/bin/spot-x.cc
+++ b/bin/spot-x.cc
@@ -237,18 +237,6 @@ sets.  By default this is only enabled when options -B or -S are used.") },
           "Chose which simulation based reduction to use: 1 force the \
 signature-based BDD implementation, 2 force matrix-based and 0, the default, \
 is a heristic wich choose which implementation to use.") },
-    { nullptr, 0, nullptr, 0, "Synthesis options:", 0 },
-    { DOC("minimization-level",
-          "Specify how AIGER circuits should be simplified.  "
-          "(0) no simplification, "
-          "(1) bisimulation-based reduction, "
-          "(2) simplification using language inclusion and output assignments, "
-          "(3) exact minimization using a SAT solver, "
-          "(4) bisimulation-based reduction before exact minimization via "
-          "SAT solver, "
-          "(5) simplification using output assignments before exact "
-          "minimization via SAT solver.  "
-          "The default value is 1.") },
     { nullptr, 0, nullptr, 0, nullptr, 0 }
   };
 
diff --git a/doc/org/ltlsynt.org b/doc/org/ltlsynt.org
index 9b62bb587..45b4b2b1c 100644
--- a/doc/org/ltlsynt.org
+++ b/doc/org/ltlsynt.org
@@ -136,23 +136,35 @@ Otherwise, conversion to parity game (represented by the blue zone) is
 done using one of several algorithms specified by the =--algo= option.
 The game is then solved, producing a strategy if the game is realizable.
 
-If an =ltlsynt= is in =--realizability= mode, the process stops here
+If =ltlsynt= is in =--realizability= mode, the process stops here
+
+In synthesis mode, the strategy is first simplified.  How this is done
+can be fine-tuned with option =--simplify=:
+#+BEGIN_SRC sh :exports results
+ltlsynt --help | sed -n '/--simplify=/,/^$/p' | sed '$d'
+#+END_SRC
+#+RESULTS:
+:       --simplify=no|bisim|bwoa|sat|bisim-sat|bwoa-sat
+:                              simplification to apply to the controler (no)
+:                              nothing, (bisim) bisimulation-based reduction,
+:                              (bwoa) bissimulation-based reduction with output
+:                              assignment, (sat) SAT-based minimization,
+:                              (bisim-sat) SAT after bisim, (bwoa-sat) SAT after
+:                              bwoa.  Defaults to 'bwoa'.
 
-In =--aiger= mode, the strategy is first simplified.  How this is done
-is controled by option =-x minimize-level=N=.  See the [[./man/spot-x.7.html][=spot-x=]](7)
-manpage for details.
 Finally, the strategy is encoded into [[http://fmv.jku.at/aiger/][AIGER]].  The =--aiger= option can
-take an argument to specify a type of encoding to use: by default
-it is =ite= for if-then-else, because it follows the structure of BDD
-used to encode the conditions in the strategy.  An alternative encoding
-is =isop= where condition are first put into irredundant-sum-of-product,
-or =both= if both encodings should be tried.  Additionally, these optiosn
-can accept the suffix =+ud= (use dual) to attempt to encode each condition
-and its negation and keep the smallest one, =+dc= (don't care) to take
-advantage of /don't care/ values in the output, and one of =+sub0=,
-=+sub1=, or =+sub2= to test various grouping of variables in the encoding.
-Multiple encodings can be tried by separating them using commas.
-For instance =--aiger=isop,isop+dc,isop+ud= will try three different encodings.
+take an argument to specify a type of encoding to use: by default it
+is =ite= for if-then-else, because it follows the structure of BDD
+used to encode the conditions in the strategy.  An alternative
+encoding is =isop= where condition are first put into
+irredundant-sum-of-product, or =both= if both encodings should be
+tried.  Additionally, these optiosn can accept the suffix =+ud= (use
+dual) to attempt to encode each condition and its negation and keep
+the smallest one, =+dc= (don't care) to take advantage of /don't care/
+values in the output, and one of =+sub0=, =+sub1=, or =+sub2= to test
+various grouping of variables in the encoding.  Multiple encodings can
+be tried by separating them using commas.  For instance
+=--aiger=isop,isop+dc,isop+ud= will try three different encodings.
 
 * Other useful options
 
diff --git a/spot/twaalgos/game.hh b/spot/twaalgos/game.hh
index 9f3530f12..add0325a6 100644
--- a/spot/twaalgos/game.hh
+++ b/spot/twaalgos/game.hh
@@ -132,7 +132,7 @@ namespace spot
     game_info()
       : force_sbacc{false},
         s{solver::LAR},
-        minimize_lvl{0},
+        minimize_lvl{2},
         bv{},
         verbose_stream{nullptr},
         dict(make_bdd_dict())
diff --git a/tests/core/ltlsynt.test b/tests/core/ltlsynt.test
index a19da2fe9..37c5f46e0 100644
--- a/tests/core/ltlsynt.test
+++ b/tests/core/ltlsynt.test
@@ -156,7 +156,8 @@ i0 a
 o0 b
 o1 c
 EOF
-ltlsynt --ins=a --outs=b,c -f 'GFa <-> (GFb & GFc)' --algo=ds --aiger=isop >out
+ltlsynt --ins=a --outs=b,c -f 'GFa <-> (GFb & GFc)' \
+        --algo=ds --simplify=no --aiger=isop >out
 diff out exp
 
 cat >exp <<EOF
@@ -171,7 +172,7 @@ o0 b
 o1 c
 EOF
 ltlsynt --ins=a --outs=b,c -f 'GFa <-> (GFb & GFc)' \
-  --algo=ds --aiger=isop+dc >out
+        --algo=ds --simplify=no --aiger=isop+dc >out
 diff out exp
 
 cat >exp <<EOF
@@ -186,7 +187,8 @@ i0 a
 o0 b
 o1 c
 EOF
-ltlsynt --ins=a --outs=b,c -f 'GFa <-> (GFb & GFc)' --algo=ds --aiger=ite >out
+ltlsynt --ins=a --outs=b,c -f 'GFa <-> (GFb & GFc)' \
+        --algo=ds --simplify=no --aiger=ite >out
 diff out exp
 
 cat >exp <<EOF
@@ -380,7 +382,7 @@ State: 2
 [!0] 2
 --END--
 EOF
-ltlsynt --outs=p0 -x tls-impl=0 -f '!XXF(p0 & (p0 M Gp0))' > out
+ltlsynt --outs=p0 -x tls-impl=0 --simpl=no -f '!XXF(p0 & (p0 M Gp0))' > out
 diff out exp
 
 cat >exp <<EOF
@@ -411,6 +413,14 @@ grep 'DPA has 29 states' err
 ltlsynt --verbose -x wdba-minimize=1 --algo=ps --outs=p1 --ins=p0 -f "$f" 2>err
 grep 'DPA has 12 states' err
 
+ltlsynt --outs=p1 -f "$f" -x"dpa-simul=1" --simpl=no | grep 'States: 5'
+ltlsynt --outs=p1 -f "$f" -x"dpa-simul=1" --simpl=bisim | grep 'States: 5'
+ltlsynt --outs=p1 -f "$f" -x"dpa-simul=1" --simpl=bwoa | grep 'States: 4'
+ltlsynt --outs=p1 -f "$f" -x"dpa-simul=1" | grep 'States: 4'
+ltlsynt --outs=p1 -f "$f" -x"dpa-simul=1" --simpl=sat | grep 'States: 2'
+ltlsynt --outs=p1 -f "$f" -x"dpa-simul=1" --simpl=bisim-sat | grep 'States: 2'
+ltlsynt --outs=p1 -f "$f" -x"dpa-simul=1" --simpl=bwoa-sat | grep 'States: 4'
+
 cat >exp <<EOF
 REALIZABLE
 aag 34 4 3 2 27
@@ -458,7 +468,7 @@ o0 o0
 o1 o1
 EOF
 ltlsynt -f "G((i0 && i1)<->X(o0)) && G((i2|i3)<->X(o1))" --outs="o0,o1"\
-        --aiger=isop --algo=lar --decompose=no >out
+        --aiger=isop --algo=lar --decompose=no --simpl=no >out
 diff out exp
 
 cat >exp <<EOF
@@ -492,10 +502,10 @@ o0 o0
 o1 o1
 EOF
 ltlsynt -f "G((i0 && i1)<->X(o0)) && G((i2|i3)<->X(o1))" --outs="o0,o1"\
-  --aiger=isop --algo=lar --decompose=yes >out
+  --aiger=isop --algo=lar --decompose=yes --simpl=no >out
 diff out exp
 ltlsynt -f "G((i0 && i1)<->X(o0)) && G((i2|i3)<->X(o1))" --outs="o0,o1"\
-  --aiger=isop --algo=lar >out
+  --aiger=isop --algo=lar --simpl=no  >out
 diff out exp
 
 # Issue #477
diff --git a/tests/python/games.ipynb b/tests/python/games.ipynb
index 09073f423..299a5e06d 100644
--- a/tests/python/games.ipynb
+++ b/tests/python/games.ipynb
@@ -47,153 +47,153 @@
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        "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
        " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n",
+       "<!-- Generated by graphviz version 2.43.0 (0)\n",
        " -->\n",
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        " viewBox=\"0.00 0.00 495.00 190.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+       "<text text-anchor=\"start\" x=\"232.5\" y=\"-151.8\" font-family=\"Lato\" font-size=\"14.00\">[all]</text>\n",
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        "</g>\n",
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        "<title>I&#45;&gt;0</title>\n",
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@@ -4291,7 +4273,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "By handing over the input and output propositions explicitly, you can force their appearance of the propositions in the circuit"
+    "By handing over the input and output propositions explicitly, you can force their occurrence in the propositions of the circuit"
    ]
   },
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