Table 1: List of test problem functions.
 Problem n MTTHS DHS BZA NI/CT/GE/FE NI/CT/GE/FE NI/CT/GE/FE Extended 2 1323/9.3448/4645/3321 1267/10.1753/4756/3488 364/3.1079/1365/1000 Trigonometric -1 50 4533/28.4686/15849/11315 3771/25.5829/14146/10374 2376/18.4341/8910/6533 function 500 11125/67.51/38848/27722 8163/55.0526/30616/22452 5904/46.5577/22140/16235 HIMMELBH(Cute) 2 9/0.4680/77/67 9/0.4538/77/67 9/0.4471/77/67 50 9/0.4572/77/67 9/0.4574/77/67 9/0.4620/77/67 5000 9/2.0529/77/67 9/2.0198/77/67 9/1.9930/77/67 Power function 2 3/0.3968/13/9 2/0.3881/9/6 2/0.3884/9/6 50 212/2.0540/849/636 3431/24.0407/13725/10293 65/0.7751/261/195 1000 4612/33.5261/18449/13836 F/F/F/F 1565/11.567/6261/4695 DENSCHNF 2 11/0.6773/64/52 12/0.5399/67/54 8/0.4719/50/41 50 14/0.5959/78/63 14/0.5260/75/60 9/0.4739/54/44 5000 10/1.7879/56/45 14/2.1633/75/60 9/1.6783/54/44 Sum Squares 2 3/0.4203/13/9 2/0.3861/9/6 2/0.3966/9/6 function 50 47/0.7252/189/141 39/0.6318/157/117 39/0.6162/157/117 1000 229/2.4542/917/687 1333/11.3244/5333/3999 191/1.9552/765/573 TRIDIA(Cute) 2 3/0.4056/13/9 2/0.3980/9/6 2/0.4024/9/6 50 100/1.6029/401/300 193/1.7752/773/579 56/0.7390/225/168 1000 604/5.2318/2417/1812 16019/122.48/64077/48057 349/3.22771397/1047 SINQUAD(Cute) 2 25/0.4804/102/76 1734/12.6402/6076/4341 25/0.5218/101/75 5000 F/F/F/F F/F/F/F 411/198.6198/2837/2425 10000 F/F/F/F F/F/F/F 417/493.6830/2650/2232 Generalized 50 23/0.5659/101/77 25/0.5348/109/83 21/0.5187/94/72 Quartic GQ2 100 23/0.5588/103/79 31/0.5938/133/101 22/0.5233/96/73 function. 5000 26/2.9409/116/89 23/2.6517/103/79 25/2.7548/110/84 Generalized 50 50/0.7767/248/197 43/0.6750/192/148 42/0.6934/198/155 Triagonal-2 500 43/1.5284/206/162 46/1.4306/209/162 38/1.4029/182/143 function 1000 45/2.1144/214/168 47/2.1176/214/166 39/1.8380/181/141 Extended 2 8/0.4315/32/23 9/0.4256/37/27 6/0.4158/25/18 Trigonometric -2 50 33/0.6514/148/114 26/0.5848/124/97 22/0.5586/106/83 function 7000 85/63.5473/626/540 71/44.8822/440/368 33/25.6757/251/217 LIARWHD 100 20/0.5798/136/115 16/0.5065/95/78 14/0.4865/84/69 5000 50/8.8611/390/339 53/8.7426/384/330 24/4.4628/189/164 10000 33/14.6362/245/211 53/19.3591/331/277 23/9.7171/165/141 Generalized 2 6/0.4058/27/20 6/0.4127/27/20 5/0.4008/23/17 Quartic GQ1 6000 11/1.8086/47/35 10/1.6695/43/32 10/1.7246/43/32 function 10000 11/3.4464/47/35 10/3.0683/43/32 10/3.0317/43/32 Extended QP2 2 17/0.8111/98/80 21/0.6076/125/103 16/0.5702/111/94 Quadratic Penalty 5000 226/56.4248/2247/2020 F/F/F/F 82/25.7327/1018/935 function 10000 137/95.8189/1457/1319 F/F/F/F 82/67.1490/1024/941 Extended Maratos 2 20/0.6479/131/110 43/0.8956/225/181 30/0.8305/193/162 function 1000 26/0.8290/176/149 F/F/F/F 30/0.8300/193/162 5000 F/F/F/F 45/5.8526/233/187 32/6.0318/243/210 DENSCHNC 2 6/0.4508/36/29 10/0.4624/51/40 6/0.4486/34/27 50 7/0.4499/38/30 10/0.4590/51/40 6/0.4696/34/27 600 8/0.5625/44/35 15/0.6240/130/114 7/0.5445/38/30 DIXON3DQ (Cute) 2 3/0.4835/13/9 2/0.3904/9/6 2/0.3878/9/6 20 106/1.2286/424/317 262/2.4917/1061/798 90/1.0709/360/269 600 2266/18.9637/9064/6797 F/F/F/F 2185/18.4756/8740/6554 EDENSCH function 50 3094/15.3448/9288/6193 3094/16.4610/9288/6193 3089/15.3239/9273/6183 1000 3094/17.6514/9288/6193 3094/18.4918/9288/6193 3089/17.6263/9273/6183 5000 3094/198.8550/9288/6193 3094/199.0048/9288/6193 3089/198.2240/9273/6183 Diagonal 2 function 50 749/6.8385/2626/1876 495/3.0663/1488/992 490/3.3271/1473/982 1000 16517/126.4914/59593/43075 8569/53.8256/25711/17141 8563/53.3166/25693/17129 10000 F/F/F/F 16484/283.6569/49456/32971 16478/279.44/49438/32959 DQDRTIC(Cute) 50 12/0.4358/49/36 5/0.4070/21/15 5/0.3940/21/15 5000 14/1.6324/57/42 5/0.7966/21/15 5/0.8084/21/15 10000 14/3.7862/57/42 5/1.6205/21/15 5/1.5979/21/15 Perturbed 50 43/0.6470/173/129 38/0.5837/153/114 38/0.6313/153/114 Quadratic function 1000 207/2.1710/829/621 1397/10.8367/5589/4196 187/1.9258/749/561 5000 481/44.4081/1925/1443 5125/435.0973/20501/15375 425/39.4768/1701/1275 Diagonal 4 function 50 4/0.3919/17/12 2/0.4015/9/6 2/0.3963/9/6 1000 5/0.4493/21/15 2/0.4005/9/6 2/0.4039/9/6 5000 5/0.8522/21/15 2/0.5598/9/6 2/0.5698/9/6 Extended Beale 50 15/0.4685/74/58 68/0.8247/281/212 15/0.4890/72/56 function 100 16/0.4739/74/57 68/0.8245/281/212 15/0.4855/72/56 500 16/0.5450/74/57 68/0.8840/281/212 15/0.5050/72/56 DENSCHNA 50 9/0.4336/44/34 24/0.5609/102/77 9/0.4462/44/34 1000 10/0.5912/48/37 26/0.7584/110/83 9/0.5909/44/34 5000 10/1.6387/46/35 26/3.0388/110/83 9/1.4694/44/34 STAIRCASE S1 20 79/0.9390/316/236 202/1.7976/818/615 72/0.8546/290/217 50 215/2.0539/860/644 1117/8.6778/4503/3385 183/1.6893/732/548 100 426/3.4107/1705/1278 3896/29.4293/15737/11840 372/3.0840/1490/1117 NONDQUAR 50 28674/216.605/114767/86092 F/F/F/F 14756/104.86/59098/44341 100 32283/244.026/129157/96873 F/F/F/F 17900/127.16/71670/53769 500 F/F/F/F F/F/F/F 32748/241.1/131043/98294 Extended Wood 500 128/1.5299/605/476 942/8.5789/4143/3200 96/1.4535/551/454 1000 146/1.7443/676/529 946/8.8946/4100/3153 101/1.7151/606/504 10000 213/57.8431/979/765 956/249.5361/4202/3245 89/31.8805/545/455 Extended Penalty 20 33/0.6528/144/110 37/0.7031/158/120 22/0.5670/98/75 300 F/F/F/F F/F/F/F 64/1.2248/365/300 600 F/F/F/F F/F/F/F 28/0.7428/172/143 Sphere function 2 1/0.4750/5/3 1/0.3777/5/3 1/0.3902/5/3 1000 1/0.3904/5/3 1/0.3877/5/3 1/0.3860/5/3 5000 1/0.4687/5/3 1/0.4576/5/3 1/0.4616/5/3 ARGLINB(Cute) 2 1/0.3913/5/3 1/0.3903/5/3 1/0.3840/5/3 50 1/0.3868/5/3 1/0.3941/5/3 1/0.3832/5/3 500 2/0.4279/9/6 2/0.4266/9/6 2/0.4246/9/6 Extended White 2 28/0.7668/192/163 69/1.2885/354/284 21/0.6586/136/114 and Holst function 500 29/0.9337/213/183 102/1.5134/488/385 21/0.6586/136/114 5000 23/4.6845/168/144 125/14.3950/577/451 21/3.8322/136/114 Extended Hiebert 50 2040/33.6457/16304/14263 F/F/F/F 838/21.7040/9977/9138 200 F/F/F/F F/F/F/F 901/23.007/10513/9611 1000 F/F/F/F F/F/F/F F/F/F/F Quadratic QF1 50 44/0.6479/177/132 38/0.6068/153/114 38/0.6306/153/114 500 147/1.4565/589/441 574/4.7399/2297/1722 131/1.3814/525/393 10000 744/179.6695/2977/2232 F/F/F/F 606/146.3228/2425/1818 Quartic 50 11579/66.6569/34740/23160 11579/66.7991/34740/23160 11574/64.593/34725/23150 500 24975/148.8391/74928/49952 24975/146.0726/74928/49952 24968/142.57/74907/49938 1000 31473/201.6973/94422/62948 31473/218.8475/94422/62948 31466/191.54/94401/62934 Shallow function 1000 10/0.5712/45/34 48/0.7436/200/151 10/0.5557/45/34 5000 11/1.4925/49/37 48/4.9218/200/151 10/1.4117/45/34 10000 12/3.6303/53/40 50/13.2094/209/158 10/3.1569/45/34 VARDIM 50 28/1.1175/322/293 143/4.0110/1604/1460 16/0.8685/221/204 100 20/1.0429/286/265 293/5.9711/2604/2310 17/0.9508/250/232 500 41/2.2545/736/694 1557/25.9389/11724/10166 34/1.8745/645/610 DIXMAANA 6000 8/1.8623/35/26 8/1.8913/35/26 8/1.8504/35/26 6015 8/1.9276/35/26 8/1.8546/35/26 8/1.9200/35/26 6030 8/1.9301/35/26 8/1.9700/35/26 8/1.8819/35/26 DIXMAANB 9 7/0.4044/30/22 7/0.4141/30/22 7/0.4036/30/22 300 7/0.4550/30/22 7/0.4776/30/22 8/0.4415/34/25 6000 8/1.8966/34/25 8/1.8364/34/25 9/2.0362/38/28 DIXMAANC 9 6/0.4033/29/22 6/0.4191/29/22 6/0.4168/29/22 300 7/0.4701/33/25 6/0.4721/29/22 7/0.4707/33/25 6000 7/2.0093/33/25 7/2.0148/33/25 8/2.1736/37/28 DIXMAAND 90 7/0.4450/34/26 8/0.4333/38/29 8/0.4263/38/29 300 8/0.5272/38/29 8/0.5406/38/29 8/0.5418/38/29 6000 9/2.4166/42/32 7/2.0165/34/26 7/2.0556/34/26 DIXMAANE 9 19/0.5080/88/68 23/0.5720/107/83 18/0.4832/84/65 300 84/1.5278/421/336 1211/7.7407/3707/2495 84/2.1712/420/335 6000 331/81.2267/1655/1323 F/F/F/F 333/83.0952/1685/1351 EG2 2 5/0.4912/25/19 8/0.4128/40/31 4/0.4139/20/15 20 160/1.4413/642/481 1958/14.8104/8106/6147 110/1.0755/447/336 50 F/F/F/F 48/0.7452/228/179 656/5.3312/2773/2116 EG3 20 21/0.5445/88/66 25/0.5611/102/76 14/0.4851/60/45 50 25/0.5965/110/84 43/0.7618/207/163 25/0.5236/69/53 100 F/F/F/F F/F/F/F 20/0.5290/88/67 Fletcher function 50 24/0.5879/126/101 23/0.5870/123/99 22/0.5687/118/95 6000 27/5.2874/161/133 28/5.4497/168/139 26/4.7950/152/125 10000 27/10.4312/161/133 27/10.6308/163/135 26/9.8879/155/128 Extended 50 8/0.4229/37/28 11/0.4510/49/37 9/0.4370/41/31 Himmelblau 1000 8/0.4706/39/30 12/0. 5342/53/40 9/0.4775/41/31 function 5000 9/1.4066/43/33 13/1.6584/57/43 9/1.3377/41/31 Extended 2 11/0.5889/75/63 33/0.6806/163/129 10/0.4929/69/58 Freudenstein 50 F/F/F/F 36/0.7871/230/193 10/0.4700/69/58 and Roth function 200 16/0.5442/102/85 37/0.8501/241/203 11/0.4993/73/61 Dixon and Price 20 132/1.6580/615/482 333/3.2018/1409/1075 131/1.5682/603/471 function 50 185/2.5157/1034/848 478/4.7648/2199/1720 165/2.2048/900/734 100 523/6.5773/2938/2414 1243/11.1703/5672/4428 439/5.4568/2422/1982 Raydan 1 function 2 106/1.3363/319/212 105/0.8502/316/210 99/0.8493/298/198 50 59/0.8854/237/177 88/1.0277/364/275 58/0.7714/233/174 100 70/0.9532/282/211 155/1.5252/625/469 70/0.8892/282/211 Raydan 2 function 2 2/0.4129/9/6 2/0.3995/9/6 3/0.3971/13/9 50 2/0.3991/9/6 2/0.3981/9/6 3/0.4176/13/9 100 2/0.4002/9/6 2/0.4123/9/6 3/0.3906/13/9 NONDIA(SHANO- 500 9/0.5483/63/53 11/0.4937/70/58 7/0.4938/55/47 78) 6000 14/2.7799/82/67 46/6.5297/212/165 9/2.3946/70/60 10000 16/6.3412/96/79 74/21.4446/339/264 15/6.2113/92/76 Extended Block 500 30/1.0226/52000/44250 32/0.9386/32250/24000 39/1.1887/44000/34000 Diagonal BD1 1000 39/3.6068/195000/175000 33/1.3795/66500/49500 39/1.6724/88500/68500 function 10000 38/22.3738/1070000/875000 35/14.5725/705000/525000 43/20.1088/965000/745000 SINCOS 2000 F/F/F/F F/F/F/F 8/0.6960/39/30 5000 F/F/F/F F/F/F/F 8/1.2553/39/30 10000 F/F/F/F F/F/F/F 8/2.7535/39/30 DIXMAANH 90 58/0.8867/290/231 388/2.5254/1230/841 57/1.0443/286/228 300 81/1.5051/408/326 1264/7.8924/3872/2607 81/1.3140/408/326 600 126/4.4107/630/503 2407/40.8602/7294/4886 119/4.0122/596/476 Quadratic QF2 50 77/0.9476/330/252 107/1.1580/454/346 68/0.8775/293/224 function 200 183/1.7984/787/603 337/2.9913/1419/1081 139/1.5/610/470 2000 1150/34.4704/4862/3711 2903/85.3362/12110/9206 540/17.4638/2404/1863 Tridiagonal double 20 108/1.1547/438/329 1915/14.1311/7667/5751 101/1.1136/410/308 Bordered 50 407/3.3266/1633/1225 11157/78.2325/44633/33475 355/2.9421/1425/1069 500 6278/48.1130/25119/18840 13470/103.5476/53887/40416 4595/35.3993/18387/13791 Generalized 2 1323/8.3265/4645/3321 1267/8.4042/4756/3488 364/2.6867/1365/1000 Triagonal1 function 50 25/0.5255/103/77 28/0.504/115/86 24/0.5140/99/74 100 24/0.5630/99/74 27/0.6205/111/83 23/0.5242/95/71 Extended QP2 50 9/0.4269/49/39 15/0.4503/71/55 9/0.4190/49/39 Quadratic penalty 200 13/0.4682/70/56 14/0.6931/74/59 12/0.4620/66/53 function 3000 F/F/F/F F/F/F/F 17/1.5340/118/100 Extended 2 5/0.4089/22/16 6/0.4254/26/19 5/0.4095/22/16 DENSCHNB 500 5/0.4222/22/16 7/0.4313/30/22 6/0.4165/26/19 function 10000 5/1.7240/22/16 7/2.1577/30/22 6/1.9461/26/19 Extended three- 2 7/0.4187/30/22 13/0.4386/54/40 7/0.417/30/22 Exponential terms 50 7/0.4211/750/550 14/0.4492/1450/1075 7/0.4255/750/550 100 7/0.4378/1500/1100 14/0.4705/2900/2150 7/0.4183/1500/1100 DIXMAANF 9 23/0.6308/109/85 23/0.5828/109/85 19/0.5129/90/70 90 51/0.8509/256/204 386/2.4637/1229/842 51/1.1421/256/204 300 90/1.4444/451/360 1260/7.8258/3871/2610 90/1.5578/451/360 DIXMAANG 9 19/0.5318/95/75 26/0.5670/127/100 21/0.5403/103/81 90 83/1.2240/424/340 379/2.4949/1221/841 56/0.8767/280/223 300 137/1.8866/643/505 1241/14.5812/3834/2592 569/5.5495/2477/1907 Extended 2 25/0.7100/159/133 24/0.9013/120/95 27/0.7803/163/135 Rosenbrock 1000 14/0.8076/82/67 26/0.6537/128/101 28/0.7818/167/138 function 5000 19/2.8693/109/89 27/3.2102/132/104 30/4.4233/175/144 ARWHEAD 500 F/F/F/F F/F/F/F 10/0.4429/54/43 3000 F/F/F/F F/F/F/F 5/0.7593/38/32 8000 F/F/F/F F/F/F/F 7/2.5096/49/41 Hager function 2 4/0.4001/17/12 6/0.4188/25/18 4/0.4008/17/12 50 20/0.4789/82/61 24/0.5101/98/73 20/0.4738/82/61 100 24/0.5275/98/73 F/F/F/F 24/0.5382/111/86 Extended Powell 1000 4008/108.2/4032500/3030250 F/F/F/F 361/10.5/384000/293500 function 3000 1026/86.1/3124500/2354250 F/F/F/F 108/10.8/379500/297750 5000 2213/330/11330000/8562500 F/F/F/F 306/48/1652500/1268750 BIGGSB1 function 2 1/0.3861/5/3 1/0.3866/5/3 1/0.3895/5/3 20 53/0.7214/213/159 20/0.4869/80/59 20/0.4764/80/59 50 201/1.9444/804/602 867/7.1960/3500/2632 50/0.7281/200/149 Extended Cliff 100 11657/87/2075150/1492250 39907/329/7892000/5896600 1674/12/293750/210000 5000 F/F/F/F F/F/F/F 1009/132/8857500/633250 ENGVAL8 2 7/0.4675/33/25 10/0.4709/45/34 7/0.4756/36/28 20 22/0.5657/99/76 32/0.6306/138/105 20/0.5382/90/69 Trecanni function 2 6/0.4146/26/19 6/0.4212/26/19 4/0.3982/18/13 GENROSEN-2 2 25/0.8096/159/133 24/0.5864/120/95 27/0.6770/163/135 Generalized Quartic function 2 6/0.4068/27/20 6/0.4082/27/20 5/0.4081/23/17 Diagonal 1 function 2 6/0.4015/25/18 7/0.4085/29/21 4/0.4207/18/13 Six Hump function 2 7/0.4112/31/23 7/0.4271/31/23 6/0.4064/27/20 Three Hump function 2 11/0.4441/52/40 11/0.4335/50/38 10/0.4397/47/36 Booth function 2 3/0.3930/13/9 2/0.4043/9/6 2/0.3919/9/6 Zett1 function 2 26/0.5067/105/78 30/0.5581/126/95 24/0.5046/102/77