diff --git a/include/mockturtle/networks/aqfp.hpp b/include/mockturtle/networks/aqfp.hpp
index 087fad2f2..e785e0788 100644
--- a/include/mockturtle/networks/aqfp.hpp
+++ b/include/mockturtle/networks/aqfp.hpp
@@ -28,6 +28,7 @@
   \brief AQFP network implementation
 
   \author Dewmini Marakkalage
+  \author Alessandro Tempia Calvino
 */
 
 #pragma once
@@ -521,23 +522,27 @@ class aqfp_network
 
     std::vector<signal> old_children;
 
-    for ( auto i = 0u; i <= node.children.size(); ++i )
+    bool replacement = false;
+    for ( size_t i = 0u; i < node.children.size(); ++i )
     {
-      if ( i == node.children.size() )
-      {
-        return std::nullopt;
-      }
-
       old_children.push_back( signal{ node.children[i] } );
 
       if ( node.children[i].index == old_node )
       {
         node.children[i] = node.children[i].weight ? !new_signal : new_signal;
-        new_signal.complement ^= node.children[i].weight;
+        replacement = true;
+
+        // update the reference counter of the new signal
+        _storage->nodes[new_signal.index].data[0].h1++;
       }
     }
 
-    /* TODO: Do the simplifications if possible */
+    if ( !replacement )
+    {
+      return std::nullopt;
+    }
+
+    /* TODO: Do the simplifications if possible and ordering */
 
     for ( auto const& fn : _events->on_modified )
     {
diff --git a/include/mockturtle/views/binding_view.hpp b/include/mockturtle/views/binding_view.hpp
index f44955990..7326c21da 100644
--- a/include/mockturtle/views/binding_view.hpp
+++ b/include/mockturtle/views/binding_view.hpp
@@ -239,7 +239,7 @@ class binding_view : public Ntk
       {
         float tot_gate_area = gates_profile[i] * _library[i].area;
 
-        os << fmt::format( "[i] {:<15}", _library[i].name )
+        os << fmt::format( "[i] {:<25}", _library[i].name )
            << fmt::format( "\t Instance = {:>10d}", gates_profile[i] )
            << fmt::format( "\t Area = {:>12.2f}", tot_gate_area )
            << fmt::format( " {:>8.2f} %\n", tot_gate_area / area * 100 );
@@ -248,7 +248,7 @@ class binding_view : public Ntk
       }
     }
 
-    os << fmt::format( "[i] {:<15}", "TOTAL" )
+    os << fmt::format( "[i] {:<25}", "TOTAL" )
        << fmt::format( "\t Instance = {:>10d}", tot_instances )
        << fmt::format( "\t Area = {:>12.2f}   100.00 %\n", area );
   }
diff --git a/test/algorithms/akers_synthesis.cpp b/test/algorithms/akers_synthesis.cpp
index 7077f0dc1..e9fb3ce91 100644
--- a/test/algorithms/akers_synthesis.cpp
+++ b/test/algorithms/akers_synthesis.cpp
@@ -89,6 +89,8 @@ TEST_CASE( "Check Akers for MAJ-5 in XMG", "[akers_synthesis]" )
 
 TEST_CASE( "Check Akers for random - 4 inputs", "[akers_synthesis]" )
 {
+  std::array<std::string, 5> tts = { "d5d0", "fe52", "ad1b", "401a", "79e2" };
+
   for ( auto y = 0; y < 5; y++ )
   {
     std::vector<kitty::dynamic_truth_table> xs{6, kitty::dynamic_truth_table( 4 )};
@@ -97,7 +99,7 @@ TEST_CASE( "Check Akers for random - 4 inputs", "[akers_synthesis]" )
     kitty::create_nth_var( xs[4], 2 );
     kitty::create_nth_var( xs[5], 3 );
 
-    create_random( xs[0] );
+    create_from_hex_string( xs[0], tts[y] );
 
     for ( auto i = 0u; i < unsigned( xs[0].num_bits() ); i++ )
     {
@@ -134,6 +136,8 @@ TEST_CASE( "Check Akers for random - 4 inputs", "[akers_synthesis]" )
 
 TEST_CASE( "Check Akers for random - 5 inputs", "[akers_synthesis]" )
 {
+  std::array<std::string, 5> tts = { "e3cee67b", "bb5bee39", "b220ff4c", "fa43751f", "9ec83bf4" };
+
   for ( auto y = 0; y < 5; y++ )
   {
     std::vector<kitty::dynamic_truth_table> xs{7, kitty::dynamic_truth_table( 5 )};
@@ -143,7 +147,7 @@ TEST_CASE( "Check Akers for random - 5 inputs", "[akers_synthesis]" )
     kitty::create_nth_var( xs[5], 3 );
     kitty::create_nth_var( xs[6], 4 );
 
-    create_random( xs[0] );
+    create_from_hex_string( xs[0], tts[y] );
 
     for ( auto i = 0u; i < unsigned( xs[0].num_bits() ); i++ )
     {
@@ -190,7 +194,7 @@ TEST_CASE( "Check Akers for random - 6 inputs", "[akers_synthesis]" )
     kitty::create_nth_var( xs[6], 4 );
     kitty::create_nth_var( xs[7], 5 );
 
-    create_random( xs[0] );
+    create_from_hex_string( xs[0], "32b43db39dde2b16" );
 
     for ( auto i = 0u; i < unsigned( xs[0].num_bits() ); i++ )
     {
diff --git a/test/views/binding_view.cpp b/test/views/binding_view.cpp
index c10703a5a..114da60a8 100644
--- a/test/views/binding_view.cpp
+++ b/test/views/binding_view.cpp
@@ -80,11 +80,11 @@ TEST_CASE( "Create binding view", "[binding_view]" )
   std::stringstream report_gates;
   ntk.report_gates_usage( report_gates );
   CHECK( report_gates.str() == "[i] Report gates usage:\n"
-                               "[i] zero           \t Instance =          1\t Area =         0.00     0.00 %\n"
-                               "[i] inverter       \t Instance =          1\t Area =         1.00     6.25 %\n"
-                               "[i] and            \t Instance =          2\t Area =        10.00    62.50 %\n"
-                               "[i] or             \t Instance =          1\t Area =         5.00    31.25 %\n"
-                               "[i] TOTAL          \t Instance =          5\t Area =        16.00   100.00 %\n" );
+                               "[i] zero                     \t Instance =          1\t Area =         0.00     0.00 %\n"
+                               "[i] inverter                 \t Instance =          1\t Area =         1.00     6.25 %\n"
+                               "[i] and                      \t Instance =          2\t Area =        10.00    62.50 %\n"
+                               "[i] or                       \t Instance =          1\t Area =         5.00    31.25 %\n"
+                               "[i] TOTAL                    \t Instance =          5\t Area =        16.00   100.00 %\n" );
 }
 
 TEST_CASE( "Binding view on copy", "[binding_view]" )