diff --git a/libsrc/meshing/improve2.cpp b/libsrc/meshing/improve2.cpp
index bd4dfe6d..90f984cd 100644
--- a/libsrc/meshing/improve2.cpp
+++ b/libsrc/meshing/improve2.cpp
@@ -354,7 +354,7 @@ namespace netgen
 
 
 
-  bool CombineImproveEdge( Mesh & mesh,
+  double CombineImproveEdge( Mesh & mesh,
                            const Table<SurfaceElementIndex, PointIndex> & elementsonnode,
                            Array<Vec<3>, PointIndex> & normals,
                            Array<bool, PointIndex> & fixed,
@@ -365,7 +365,7 @@ namespace netgen
     ArrayMem<SurfaceElementIndex, 20> hasonepi, hasbothpi;
 
     if (!pi1.IsValid() || !pi2.IsValid())
-        return false;
+        return 0.0;
 
     bool debugflag = 0;
 
@@ -378,7 +378,7 @@ namespace netgen
     /*
     // save version:
     if (fixed.Get(pi1) || fixed.Get(pi2))
-    return false;
+    return 0.0;
     if (pi2 < pi1) swap (pi1, pi2);
     */
 
@@ -387,7 +387,7 @@ namespace netgen
         Swap (pi1, pi2);
 
     if (fixed[pi2])
-        return false;
+        return 0.0;
 
     double loch = mesh.GetH (mesh[pi1]);
 
@@ -410,7 +410,7 @@ namespace netgen
       }
 
     if(hasbothpi.Size()==0)
-        return false;
+        return 0.0;
 
 
     nv = normals[pi1];
@@ -486,16 +486,17 @@ namespace netgen
         (*testout) << "bad1 = " << bad1 << ", bad2 = " << bad2 << endl;
       }
 
-    bool should = (bad2 < bad1 && bad2 < 1e4);
-    if (bad2 < 1e4)
+    bool should = (illegal2<=illegal1 && bad2 < bad1 && bad2 < 1e4);
+    if(illegal2 < illegal1)
       {
-        if (illegal1 > illegal2) should = true;
-        if (illegal2 > illegal1) should = false;
+        should = true;
+        bad1 += 1e4;
       }
 
+    double d_badness = should * (bad2-bad1);
 
     if(check_only)
-        return should;
+        return d_badness;
 
     if (should)
       {
@@ -562,7 +563,7 @@ namespace netgen
             mesh[sei].Delete();
 
       }
-    return should;
+    return d_badness;
   }
 
   void MeshOptimize2d :: CombineImprove (Mesh & mesh)
@@ -658,9 +659,24 @@ namespace netgen
 
     timerstart.Stop();
 
-    for (auto e : edges)
+    // Find edges with improvement
+    Array<std::tuple<double, int>> candidate_edges(edges.Size());
+    std::atomic<int> improvement_counter(0);
+
+    ParallelFor( Range(edges), [&] (auto i) NETGEN_LAMBDA_INLINE
       {
-        auto [pi1, pi2] = e;
+        auto [pi1, pi2] = edges[i];
+        double d_badness = CombineImproveEdge(mesh, elementsonnode, normals, fixed, pi1, pi2, true);
+        if(d_badness < 0.0)
+            candidate_edges[improvement_counter++] = make_tuple(d_badness, i);
+      });
+
+    auto edges_with_improvement = candidate_edges.Part(0, improvement_counter.load());
+    QuickSort(edges_with_improvement);
+
+    for(auto [d_badness, ei] : edges_with_improvement)
+      {
+        auto [pi1, pi2] = edges[ei];
         CombineImproveEdge(mesh, elementsonnode, normals, fixed, pi1, pi2, false);
       }
 
diff --git a/tests/pytest/results.json b/tests/pytest/results.json
index b8c82e94..208703f2 100644
--- a/tests/pytest/results.json
+++ b/tests/pytest/results.json
@@ -54,9 +54,9 @@
         {
             "ne1d": 94,
             "ne2d": 114,
-            "ne3d": 158,
-            "quality_histogram": "[0, 0, 0, 0, 0, 1, 1, 7, 10, 16, 5, 8, 15, 13, 17, 13, 9, 25, 7, 11]",
-            "total_badness": 247.68310347
+            "ne3d": 157,
+            "quality_histogram": "[0, 0, 0, 0, 0, 1, 3, 8, 13, 13, 15, 7, 12, 11, 19, 14, 12, 21, 5, 3]",
+            "total_badness": 260.17372209
         },
         {
             "ne1d": 136,
@@ -268,8 +268,8 @@
             "ne1d": 144,
             "ne2d": 148,
             "ne3d": 98,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 4, 16, 18, 14, 20, 4, 8, 2, 0]",
-            "total_badness": 145.06570733
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 4, 18, 19, 13, 20, 2, 9, 1, 0]",
+            "total_badness": 145.83375079
         },
         {
             "ne1d": 144,
@@ -282,45 +282,45 @@
             "ne1d": 144,
             "ne2d": 148,
             "ne3d": 98,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 6, 17, 20, 14, 18, 5, 6, 3, 0]",
-            "total_badness": 144.34810179
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 6, 19, 21, 12, 18, 5, 4, 4, 0]",
+            "total_badness": 145.14580879
         },
         {
             "ne1d": 144,
             "ne2d": 148,
             "ne3d": 98,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 4, 16, 18, 14, 20, 4, 8, 2, 0]",
-            "total_badness": 145.06570733
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 4, 18, 19, 13, 20, 2, 9, 1, 0]",
+            "total_badness": 145.83375079
         },
         {
             "ne1d": 264,
             "ne2d": 390,
             "ne3d": 369,
             "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 4, 5, 19, 26, 42, 46, 49, 41, 53, 45, 27, 10, 2]",
-            "total_badness": 554.2808696
+            "total_badness": 554.2809713
         },
         {
             "ne1d": 428,
             "ne2d": 926,
             "ne3d": 1074,
-            "quality_histogram": "[0, 0, 0, 0, 0, 1, 2, 23, 52, 36, 108, 136, 97, 114, 160, 162, 66, 63, 32, 22]",
-            "total_badness": 1676.2593956
+            "quality_histogram": "[0, 0, 0, 0, 0, 1, 2, 23, 50, 36, 109, 137, 96, 117, 160, 162, 67, 60, 32, 22]",
+            "total_badness": 1675.8711911
         }
     ],
     "cubemcyl.geo": [
         {
             "ne1d": 142,
             "ne2d": 2488,
-            "ne3d": 20835,
-            "quality_histogram": "[0, 0, 0, 0, 0, 2, 28, 93, 206, 422, 722, 1146, 1822, 2545, 3153, 3286, 3135, 2461, 1439, 375]",
-            "total_badness": 28896.677361
+            "ne3d": 20783,
+            "quality_histogram": "[0, 0, 0, 0, 0, 2, 26, 94, 208, 408, 708, 1158, 1848, 2485, 3200, 3251, 3127, 2474, 1418, 376]",
+            "total_badness": 28813.276387
         },
         {
             "ne1d": 64,
-            "ne2d": 644,
-            "ne3d": 3351,
-            "quality_histogram": "[0, 0, 0, 0, 0, 2, 9, 9, 32, 59, 131, 238, 363, 472, 548, 547, 437, 297, 173, 34]",
-            "total_badness": 4754.2892871
+            "ne2d": 642,
+            "ne3d": 3214,
+            "quality_histogram": "[0, 0, 0, 0, 0, 2, 7, 13, 34, 74, 140, 230, 351, 455, 533, 531, 378, 284, 151, 31]",
+            "total_badness": 4592.7629352
         },
         {
             "ne1d": 102,
@@ -332,9 +332,9 @@
         {
             "ne1d": 142,
             "ne2d": 2488,
-            "ne3d": 19480,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 1, 7, 31, 97, 233, 526, 1186, 1978, 2941, 3443, 3496, 3088, 1914, 539]",
-            "total_badness": 25362.425666
+            "ne3d": 19499,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 5, 27, 106, 226, 529, 1209, 2008, 2862, 3440, 3576, 3083, 1921, 507]",
+            "total_badness": 25390.546576
         },
         {
             "ne1d": 210,
@@ -361,17 +361,17 @@
         },
         {
             "ne1d": 44,
-            "ne2d": 278,
-            "ne3d": 784,
-            "quality_histogram": "[0, 0, 0, 0, 1, 4, 8, 22, 44, 59, 70, 79, 102, 109, 97, 65, 50, 42, 24, 8]",
-            "total_badness": 1282.4153699
+            "ne2d": 274,
+            "ne3d": 768,
+            "quality_histogram": "[0, 0, 0, 0, 1, 5, 9, 11, 26, 62, 72, 78, 114, 95, 91, 78, 74, 24, 22, 6]",
+            "total_badness": 1237.8358347
         },
         {
             "ne1d": 68,
             "ne2d": 402,
-            "ne3d": 1584,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 2, 9, 25, 62, 126, 170, 221, 284, 265, 214, 129, 61, 16]",
-            "total_badness": 2237.5355054
+            "ne3d": 1600,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 1, 1, 4, 26, 61, 119, 170, 232, 277, 269, 214, 148, 71, 7]",
+            "total_badness": 2248.6479915
         },
         {
             "ne1d": 90,
@@ -382,17 +382,17 @@
         },
         {
             "ne1d": 146,
-            "ne2d": 1490,
-            "ne3d": 17756,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 8, 28, 65, 211, 496, 1039, 1934, 3005, 3638, 3787, 2764, 781]",
-            "total_badness": 21965.581134
+            "ne2d": 1492,
+            "ne3d": 17800,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 1, 1, 7, 23, 89, 208, 524, 1085, 1942, 2969, 3729, 3811, 2675, 736]",
+            "total_badness": 22074.204803
         },
         {
             "ne1d": 248,
             "ne2d": 4354,
-            "ne3d": 113687,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 3, 14, 37, 138, 359, 904, 2353, 5729, 11225, 18258, 23885, 25920, 19046, 5816]",
-            "total_badness": 139052.64247
+            "ne3d": 113716,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 5, 12, 43, 136, 381, 909, 2353, 5720, 11280, 18112, 23886, 25957, 19090, 5832]",
+            "total_badness": 139103.15382
         }
     ],
     "cylinder.geo": [
@@ -530,10 +530,10 @@
     "ellipticcone.geo": [
         {
             "ne1d": 174,
-            "ne2d": 1558,
-            "ne3d": 5148,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 3, 13, 32, 59, 117, 206, 341, 616, 725, 911, 895, 680, 405, 145]",
-            "total_badness": 6904.0840287
+            "ne2d": 1562,
+            "ne3d": 5180,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 3, 18, 65, 115, 211, 361, 589, 766, 881, 904, 732, 405, 130]",
+            "total_badness": 6920.4601657
         },
         {
             "ne1d": 86,
@@ -551,24 +551,24 @@
         },
         {
             "ne1d": 174,
-            "ne2d": 1558,
-            "ne3d": 4919,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 2, 4, 21, 50, 124, 251, 452, 657, 897, 985, 787, 505, 184]",
-            "total_badness": 6326.974644
+            "ne2d": 1562,
+            "ne3d": 4943,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 1, 4, 15, 49, 116, 255, 456, 635, 917, 1005, 806, 517, 167]",
+            "total_badness": 6347.4280983
         },
         {
             "ne1d": 258,
             "ne2d": 3468,
-            "ne3d": 13311,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 1, 5, 34, 98, 172, 364, 632, 1073, 1669, 2270, 2500, 2349, 1609, 535]",
-            "total_badness": 17095.282764
+            "ne3d": 13314,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 1, 4, 33, 103, 197, 351, 652, 1077, 1619, 2280, 2518, 2361, 1583, 535]",
+            "total_badness": 17113.967555
         },
         {
             "ne1d": 432,
-            "ne2d": 9538,
-            "ne3d": 69769,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 2, 14, 43, 119, 293, 743, 1835, 3902, 7404, 11284, 14551, 15051, 11055, 3473]",
-            "total_badness": 86055.714906
+            "ne2d": 9544,
+            "ne3d": 69891,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 1, 9, 37, 119, 313, 839, 1927, 4086, 7715, 11454, 14338, 14977, 10816, 3260]",
+            "total_badness": 86472.194086
         }
     ],
     "ellipticcyl.geo": [
@@ -602,17 +602,17 @@
         },
         {
             "ne1d": 232,
-            "ne2d": 2210,
-            "ne3d": 8345,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 5, 9, 43, 109, 293, 640, 956, 1382, 1736, 1662, 1176, 334]",
-            "total_badness": 10435.490494
+            "ne2d": 2212,
+            "ne3d": 8313,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 0, 4, 15, 37, 113, 263, 626, 1005, 1387, 1743, 1660, 1133, 327]",
+            "total_badness": 10392.004794
         },
         {
             "ne1d": 388,
-            "ne2d": 6138,
-            "ne3d": 54637,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 3, 5, 32, 119, 325, 910, 2429, 5008, 8209, 11690, 12637, 9994, 3276]",
-            "total_badness": 66190.217682
+            "ne2d": 6142,
+            "ne3d": 54975,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 2, 12, 45, 127, 329, 844, 2554, 5100, 8469, 11479, 12855, 9876, 3283]",
+            "total_badness": 66669.096677
         }
     ],
     "fichera.geo": [
@@ -662,40 +662,40 @@
     "frame.step": [
         {
             "ne1d": 12694,
-            "ne2d": 40520,
-            "ne3d": 221762,
-            "quality_histogram": "[3, 5, 5, 12, 7, 59, 290, 817, 1933, 3640, 6299, 10873, 17623, 25259, 32707, 35796, 34974, 29136, 17768, 4556]",
-            "total_badness": 303041.23654
+            "ne2d": 40530,
+            "ne3d": 221097,
+            "quality_histogram": "[3, 7, 7, 7, 8, 40, 245, 708, 1672, 3552, 6310, 10581, 17667, 25348, 32001, 36224, 35008, 29057, 18076, 4576]",
+            "total_badness": 301373.46714
         },
         {
             "ne1d": 6026,
-            "ne2d": 11324,
-            "ne3d": 30653,
-            "quality_histogram": "[4, 9, 9, 12, 25, 46, 102, 282, 695, 1064, 1661, 2565, 3358, 4222, 4521, 4302, 3494, 2597, 1360, 325]",
-            "total_badness": 45607.765932
+            "ne2d": 11334,
+            "ne3d": 30593,
+            "quality_histogram": "[4, 5, 3, 10, 18, 39, 99, 258, 685, 1029, 1688, 2632, 3417, 4292, 4551, 4273, 3404, 2499, 1366, 321]",
+            "total_badness": 45414.634083
         },
         {
             "ne1d": 9704,
-            "ne2d": 24430,
-            "ne3d": 85325,
-            "quality_histogram": "[1, 6, 6, 9, 6, 33, 65, 165, 475, 1033, 2434, 4626, 7791, 10930, 13358, 14135, 12954, 10041, 5806, 1451]",
-            "total_badness": 117194.17951
+            "ne2d": 24442,
+            "ne3d": 85741,
+            "quality_histogram": "[1, 6, 6, 9, 8, 30, 83, 164, 483, 1017, 2377, 4530, 7838, 10925, 13440, 14326, 13095, 10227, 5737, 1439]",
+            "total_badness": 117664.34461
         }
     ],
     "hinge.stl": [
         {
             "ne1d": 456,
             "ne2d": 1224,
-            "ne3d": 2021,
-            "quality_histogram": "[0, 0, 0, 0, 0, 2, 3, 13, 27, 39, 83, 131, 173, 250, 319, 287, 271, 226, 153, 44]",
-            "total_badness": 2837.3834708
+            "ne3d": 2038,
+            "quality_histogram": "[0, 0, 0, 0, 0, 3, 6, 19, 29, 40, 76, 138, 161, 261, 320, 286, 277, 232, 148, 42]",
+            "total_badness": 2873.2214111
         },
         {
             "ne1d": 298,
             "ne2d": 596,
-            "ne3d": 772,
-            "quality_histogram": "[0, 0, 1, 10, 8, 6, 20, 17, 36, 50, 54, 105, 90, 108, 78, 77, 50, 38, 22, 2]",
-            "total_badness": 1342.107284
+            "ne3d": 767,
+            "quality_histogram": "[0, 0, 1, 10, 8, 6, 20, 17, 35, 48, 56, 101, 95, 108, 73, 77, 49, 40, 21, 2]",
+            "total_badness": 1334.5519444
         },
         {
             "ne1d": 370,
@@ -707,23 +707,23 @@
         {
             "ne1d": 516,
             "ne2d": 1566,
-            "ne3d": 2512,
-            "quality_histogram": "[0, 0, 0, 0, 0, 1, 2, 12, 28, 58, 95, 151, 238, 317, 366, 359, 319, 325, 199, 42]",
-            "total_badness": 3506.416591
+            "ne3d": 2529,
+            "quality_histogram": "[0, 0, 0, 0, 0, 2, 4, 12, 27, 53, 110, 151, 242, 298, 395, 355, 324, 296, 203, 57]",
+            "total_badness": 3539.0006937
         },
         {
             "ne1d": 722,
             "ne2d": 2866,
-            "ne3d": 6694,
-            "quality_histogram": "[0, 0, 0, 0, 0, 0, 2, 3, 20, 29, 62, 163, 362, 669, 870, 1081, 1156, 1126, 894, 257]",
-            "total_badness": 8602.7943331
+            "ne3d": 6641,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 2, 4, 22, 39, 63, 158, 347, 598, 883, 1056, 1125, 1156, 945, 243]",
+            "total_badness": 8521.5496278
         },
         {
             "ne1d": 1862,
             "ne2d": 19490,
-            "ne3d": 137687,
-            "quality_histogram": "[0, 0, 0, 0, 0, 1, 0, 7, 27, 123, 417, 1112, 2874, 6999, 13738, 21956, 28788, 30887, 23306, 7452]",
-            "total_badness": 168309.64037
+            "ne3d": 138145,
+            "quality_histogram": "[0, 0, 0, 0, 0, 0, 0, 12, 42, 164, 454, 1165, 3079, 7378, 13727, 21879, 28700, 30921, 23185, 7439]",
+            "total_badness": 169166.81415
         }
     ],
     "lshape3d.geo": [
@@ -774,48 +774,48 @@
         {
             "ne1d": 5886,
             "ne2d": 48052,
-            "ne3d": 179545,
-            "quality_histogram": "[0, 0, 0, 0, 5, 29, 71, 190, 576, 1440, 3405, 7596, 12496, 20298, 27806, 29839, 29882, 24882, 17039, 3991]",
-            "total_badness": 238919.11552
+            "ne3d": 179262,
+            "quality_histogram": "[0, 0, 0, 0, 7, 34, 52, 190, 559, 1394, 3332, 7622, 12534, 20021, 27619, 30066, 29961, 25045, 16810, 4016]",
+            "total_badness": 238415.32571
         },
         {
             "ne1d": 2746,
-            "ne2d": 13854,
-            "ne3d": 29281,
-            "quality_histogram": "[0, 0, 0, 0, 13, 18, 39, 151, 352, 858, 1553, 2317, 3286, 4410, 4149, 3714, 3207, 2591, 1903, 720]",
-            "total_badness": 42193.71037
+            "ne2d": 13866,
+            "ne3d": 29255,
+            "quality_histogram": "[0, 0, 0, 0, 12, 22, 36, 163, 382, 903, 1510, 2377, 3268, 4375, 4191, 3761, 3120, 2567, 1846, 722]",
+            "total_badness": 42256.964101
         },
         {
             "ne1d": 4106,
-            "ne2d": 27992,
-            "ne3d": 70855,
-            "quality_histogram": "[0, 0, 0, 2, 32, 78, 216, 416, 816, 1670, 2904, 4412, 7023, 9393, 10226, 10366, 9509, 7379, 4635, 1778]",
-            "total_badness": 100246.61498
+            "ne2d": 27994,
+            "ne3d": 70558,
+            "quality_histogram": "[0, 0, 0, 2, 32, 84, 194, 406, 841, 1669, 2783, 4416, 6997, 9372, 10151, 10346, 9564, 7474, 4487, 1740]",
+            "total_badness": 99764.452235
         }
     ],
     "manyholes2.geo": [
         {
             "ne1d": 10202,
-            "ne2d": 55372,
-            "ne3d": 127827,
-            "quality_histogram": "[0, 0, 0, 0, 5, 32, 110, 296, 815, 2079, 4599, 7839, 11878, 17623, 18568, 18410, 17079, 14485, 10463, 3546]",
-            "total_badness": 176563.67789
+            "ne2d": 55380,
+            "ne3d": 127866,
+            "quality_histogram": "[0, 0, 0, 0, 5, 32, 101, 306, 842, 2081, 4519, 7983, 11838, 17786, 18634, 18254, 16922, 14537, 10444, 3582]",
+            "total_badness": 176665.61274
         }
     ],
     "matrix.geo": [
         {
             "ne1d": 174,
             "ne2d": 1198,
-            "ne3d": 5230,
-            "quality_histogram": "[0, 0, 39, 135, 124, 88, 128, 171, 147, 232, 362, 408, 517, 611, 596, 522, 470, 391, 228, 61]",
-            "total_badness": 9566.0829115
+            "ne3d": 5246,
+            "quality_histogram": "[0, 0, 39, 136, 119, 93, 134, 174, 148, 224, 329, 399, 532, 581, 603, 563, 474, 398, 241, 59]",
+            "total_badness": 9567.4544817
         },
         {
             "ne1d": 106,
-            "ne2d": 612,
-            "ne3d": 1934,
-            "quality_histogram": "[0, 3, 20, 92, 116, 153, 159, 169, 221, 167, 180, 178, 141, 110, 64, 56, 36, 38, 27, 4]",
-            "total_badness": 4909.4781297
+            "ne2d": 610,
+            "ne3d": 1936,
+            "quality_histogram": "[0, 1, 11, 66, 104, 143, 140, 142, 192, 179, 201, 199, 161, 135, 74, 57, 51, 46, 29, 5]",
+            "total_badness": 4606.0709672
         },
         {
             "ne1d": 132,
@@ -827,9 +827,9 @@
         {
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