Toy dataset 3c (2D)¶
See >>notebook<< for the complete procedure.
This fit generates 46 candidate functions in total! The output files can be found here (feel free to download them and look at what a typical fit will produce).
Lets look at the output file candidates_reduced.csv, which is a csv table storing all candidate functions and their evaluations:
| Unnamed: 0 | Parameterized equation, unscaled | Parameters: (best-fit, +1, -1) | Covariance | Correlation | RMSE | R2 | NDF | Chi2 | Chi2/NDF | p-value |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | a1 | {'a1': (8.10694, 0.148, -0.148)} | {} | {} | 2.487 | -0.3035 | 227 | 1601 | 7.055 | 4.325e-205 |
| 1 | a1 | {'a1': (8.10694, 0.148, -0.148)} | {} | {} | 2.487 | -0.3035 | 227 | 1601 | 7.055 | 4.325e-205 |
| 2 | a1 | {'a1': (8.10694, 0.148, -0.148)} | {} | {} | 2.487 | -0.3035 | 227 | 1601 | 7.055 | 4.325e-205 |
| 3 | a1 + tanh(x0) | {'a1': (7.85372, 0.127, -0.127)} | {} | {} | 2.073 | 0.09407 | 227 | 1175 | 5.178 | 1.215e-127 |
| 4 | a1 + x0*gauss(x1) | {'a1': (7.79314, 0.12, -0.12)} | {} | {} | 2.034 | 0.1283 | 227 | 1061 | 4.675 | 7.516e-108 |
| 5 | a1 + x0gauss(x1*2) | {'a1': (7.797, 0.114, -0.114)} | {} | {} | 1.943 | 0.2045 | 227 | 954.1 | 4.203 | 8.853e-90 |
| 6 | a2*gauss(a1 + x0) + a3 | {'a1': (-1.27318, 0.0341, -0.0341), 'a2': (5.50643, 0.292, -0.292), 'a3': (6.43403, 0.128, -0.128)} | {'a1, a2': 0.0005048457008738753, 'a1, a3': -0.0003366835474595233, 'a2, a3': -0.026002963139020435, 'a1, a1': 0.0011604729933294377, 'a2, a2': 0.08532705003138685, 'a3, a3': 0.016494905952110235} | {'a1, a2': 0.0507, 'a1, a3': -0.07714, 'a2, a3': -0.6957} | 1.54 | 0.5002 | 225 | 619.9 | 2.755 | 1.234e-38 |
| 7 | a2*gauss(a1 + x0) + a3 + tanh(x0) | {'a1': (-1.13786, 0.042, -0.042), 'a2': (4.3091, 0.285, -0.285), 'a3': (6.51956, 0.126, -0.126)} | {'a1, a2': 0.0002157810794630655, 'a1, a3': -0.0005048419155257729, 'a2, a3': -0.025191996186294526, 'a1, a1': 0.00176540505207027, 'a2, a2': 0.0811937660068834, 'a3, a3': 0.015955099033328552} | {'a1, a2': 0.01803, 'a1, a3': -0.0954, 'a2, a3': -0.7015} | 1.406 | 0.5832 | 225 | 582.8 | 2.59 | 1.51e-33 |
| 8 | a2gauss(a1 + x0) + a3 + x0gauss(x1) | {'a1': (-1.11083, 0.0304, -0.0304), 'a2': (4.68754, 0.224, -0.224), 'a3': (6.33414, 0.0997, -0.0997)} | {'a1, a2': 8.247018040063204e-05, 'a1, a3': -0.00030083091287117224, 'a2, a3': -0.01569489257391372, 'a1, a1': 0.0009218536097535462, 'a2, a2': 0.05034587108802326, 'a3, a3': 0.009948615831069882} | {'a1, a2': 0.01211, 'a1, a3': -0.09926, 'a2, a3': -0.7028} | 1.16 | 0.7164 | 225 | 361 | 1.604 | 2.23e-08 |
| 9 | a2gauss(a1 + x0) + a3 + x0gauss(x1**2) | {'a1': (-1.10587, 0.0277, -0.0277), 'a2': (4.57664, 0.2, -0.2), 'a3': (6.37105, 0.089, -0.089)} | {'a1, a2': 6.122238031614474e-05, 'a1, a3': -0.00024677946227104726, 'a2, a3': -0.012480504772516082, 'a1, a1': 0.000767848299298426, 'a2, a2': 0.03999856336792426, 'a3, a3': 0.007912637332503695} | {'a1, a2': 0.01105, 'a1, a3': -0.1001, 'a2, a3': -0.7012} | 1.039 | 0.7726 | 225 | 286.7 | 1.274 | 0.00336 |
| 10 | a2x0gauss(x1*2) + a3gauss(a1 + x0) + a4 | {'a1': (-1.02059, 0.0321, -0.0321), 'a2': (1.43575, 0.0784, -0.0784), 'a3': (4.26744, 0.194, -0.194), 'a4': (6.30521, 0.0858, -0.0858)} | {'a1, a2': 0.0012531103736540018, 'a1, a3': -0.0008199556112709164, 'a1, a4': -0.0004977846815317896, 'a2, a3': -0.003861726282059164, 'a2, a4': -0.0011285889830967124, 'a3, a4': -0.010522439331315057, 'a1, a1': 0.0010285868139423928, 'a2, a2': 0.00614779964053892, 'a3, a3': 0.03778979484059577, 'a4, a4': 0.00736557353236071} | {'a1, a2': 0.4979, 'a1, a3': -0.1317, 'a1, a4': -0.1807, 'a2, a3': -0.2539, 'a2, a4': -0.1678, 'a3, a4': -0.6322} | 0.9587 | 0.8063 | 224 | 252.2 | 1.126 | 0.09451 |
| 11 | a2tanh(a1x0 + a3x02x1) + a4 | {'a1': (-2.82134, 0.324, -0.324), 'a2': (-2.46773, 0.0836, -0.0836), 'a3': (1.10832, 0.128, -0.128), 'a4': (8.33814, 0.0568, -0.0568)} | {'a1, a2': -0.017725173999902165, 'a1, a3': -0.040968726614595205, 'a1, a4': 1.2995401110576884e-05, 'a2, a3': 0.006911406797320545, 'a2, a4': -0.00037956314241107195, 'a3, a4': 0.00033151373261350314, 'a1, a1': 0.10502902282320681, 'a2, a2': 0.006990172992645997, 'a3, a3': 0.01630871944279256, 'a4, a4': 0.0032227187880533754} | {'a1, a2': -0.6544, 'a1, a3': -0.9879, 'a1, a4': 0.0007061, 'a2, a3': 0.6459, 'a2, a4': -0.07993, 'a3, a4': 0.0456} | 0.8672 | 0.8415 | 224 | 205.4 | 0.9168 | 0.8092 |
| 12 | a1tanh(a2x0 + a3x02x1) + a4 + tanh(x1) | {'a1': (-2.60145, 0.0898, -0.0898), 'a2': (-2.42304, 0.256, -0.256), 'a3': (0.971964, 0.103, -0.103), 'a4': (7.7885, 0.0563, -0.0563)} | {'a1, a2': -0.016063676094000685, 'a1, a3': 0.006392883263569866, 'a1, a4': -0.00041576869656768895, 'a2, a3': -0.025997453321497575, 'a2, a4': 1.1517985796828128e-05, 'a3, a4': 0.00032136237676331413, 'a1, a1': 0.008063554483735606, 'a2, a2': 0.06529678722210618, 'a3, a3': 0.010621681170854299, 'a4, a4': 0.0031734131303875106} | {'a1, a2': -0.6988, 'a1, a3': 0.6912, 'a1, a4': -0.08224, 'a2, a3': -0.9859, 'a2, a4': 0.0007991, 'a3, a4': 0.05542} | 0.8664 | 0.8418 | 224 | 198 | 0.8839 | 0.8939 |
| 13 | a3tanh(a1x1(a2 + x02) + a4x0) + a5 + x1 | {'a1': (-1.03433, 0.101, -0.101), 'a2': (0.646259, 0.0642, -0.0642), 'a3': (2.69503, 0.0756, -0.0756), 'a4': (2.80105, 0.269, -0.269), 'a5': (7.95255, 0.061, -0.061)} | {'a1, a2': 0.0009155434227979673, 'a1, a3': 0.004571595102680238, 'a1, a4': -0.026570450894452768, 'a1, a5': 0.00015984923795517045, 'a2, a3': 0.0004455218674698686, 'a2, a4': -0.00037073752687349394, 'a2, a5': 0.0016408703775864062, 'a3, a4': -0.012415608304325046, 'a3, a5': 0.0011457440403146257, 'a4, a5': -0.0005096433018709043, 'a1, a1': 0.010142053098440683, 'a2, a2': 0.004127143298135227, 'a3, a3': 0.005716911962675577, 'a4, a4': 0.07218041954234494, 'a5, a5': 0.003723429811555402} | {'a1, a2': 0.1412, 'a1, a3': 0.5987, 'a1, a4': -0.978, 'a1, a5': 0.02595, 'a2, a3': 0.09179, 'a2, a4': -0.02147, 'a2, a5': 0.419, 'a3, a4': -0.6105, 'a3, a5': 0.2484, 'a4, a5': -0.03106} | 0.7702 | 0.875 | 223 | 169.7 | 0.7608 | 0.9968 |
| 14 | a3tanh(a1x1(a2 + x02) + a4x0) + a5 + x1 | {'a1': (-1.03433, 0.101, -0.101), 'a2': (0.646259, 0.0642, -0.0642), 'a3': (2.69503, 0.0756, -0.0756), 'a4': (2.80105, 0.269, -0.269), 'a5': (7.95255, 0.061, -0.061)} | {'a1, a2': 0.0009155393181730676, 'a1, a3': 0.0045715933413684184, 'a1, a4': -0.02657032500769995, 'a1, a5': 0.00015984702836673582, 'a2, a3': 0.000445521488501625, 'a2, a4': -0.00037072934786511636, 'a2, a5': 0.0016408740813535464, 'a3, a4': -0.012415601850215022, 'a3, a5': 0.001145742975954422, 'a4, a5': -0.0005096370552011002, 'a1, a1': 0.01014200682429784, 'a2, a2': 0.004127147992843371, 'a3, a3': 0.00571692198732857, 'a4, a4': 0.0721800699263419, 'a5, a5': 0.003723432031651347} | {'a1, a2': 0.1412, 'a1, a3': 0.5987, 'a1, a4': -0.978, 'a1, a5': 0.02594, 'a2, a3': 0.09179, 'a2, a4': -0.02147, 'a2, a5': 0.419, 'a3, a4': -0.6105, 'a3, a5': 0.2484, 'a4, a5': -0.03106} | 0.7702 | 0.875 | 223 | 169.7 | 0.7608 | 0.9968 |
| 15 | a3tanh(a1x1(a2 + x02) + a4x0) + a5 + x1 + gauss(x0) | {'a1': (-1.09505, 0.093, -0.093), 'a2': (0.921486, 0.0575, -0.0575), 'a3': (2.82626, 0.0631, -0.0631), 'a4': (3.19147, 0.266, -0.266), 'a5': (7.58321, 0.0529, -0.0529)} | {'a1, a2': 0.0011188697538703546, 'a1, a3': 0.003269909787875227, 'a1, a4': -0.02438232005623695, 'a1, a5': 0.00023846461735495082, 'a2, a3': 0.00039177097103877846, 'a2, a4': -0.001332971175665412, 'a2, a5': 0.0011125607186412353, 'a3, a4': -0.00953136042691534, 'a3, a5': 0.0009295687308274876, 'a4, a5': -0.00073110173719862, 'a1, a1': 0.008653553299397179, 'a2, a2': 0.0033105165318077045, 'a3, a3': 0.003978454137647648, 'a4, a4': 0.070877107838779, 'a5, a5': 0.0027974974013512334} | {'a1, a2': 0.2092, 'a1, a3': 0.5572, 'a1, a4': -0.9856, 'a1, a5': 0.04847, 'a2, a3': 0.108, 'a2, a4': -0.08715, 'a2, a5': 0.3658, 'a3, a4': -0.5679, 'a3, a5': 0.2785, 'a4, a5': -0.05196} | 0.7184 | 0.8912 | 223 | 132.6 | 0.5945 | 1 |
| 16 | a3tanh(a1x1(a2 + x02) + x0(a4 + x1)) + a5 + x1 + gauss(x0) | {'a1': (-1.37907, 0.0948, -0.0948), 'a2': (1.07834, 0.0513, -0.0513), 'a3': (2.80609, 0.0589, -0.0589), 'a4': (3.04855, 0.274, -0.274), 'a5': (7.64221, 0.0512, -0.0512)} | {'a1, a2': 0.0017105100621231995, 'a1, a3': 0.002958454850840192, 'a1, a4': -0.02561963997130037, 'a1, a5': 0.0007763188337952374, 'a2, a3': 0.0006036238758212712, 'a2, a4': -0.0031594618601564137, 'a2, a5': 0.0009255565862863349, 'a3, a4': -0.008686579576716006, 'a3, a5': 0.0011095415126405653, 'a4, a5': -0.0022951291885864563, 'a1, a1': 0.008994340289247236, 'a2, a2': 0.0026353213758443443, 'a3, a3': 0.003471972389791737, 'a4, a4': 0.0753299789925891, 'a5, a5': 0.00262228306785976} | {'a1, a2': 0.3517, 'a1, a3': 0.5298, 'a1, a4': -0.9863, 'a1, a5': 0.1599, 'a2, a3': 0.1998, 'a2, a4': -0.2248, 'a2, a5': 0.3524, 'a3, a4': -0.5382, 'a3, a5': 0.3679, 'a4, a5': -0.1636} | 0.6643 | 0.907 | 223 | 122.9 | 0.5512 | 1 |
| 17 | a1x0 + a5tanh(a2x1(a3 + x02) + a4x0) + a6 + 2x1 | {'a1': (-0.68596, 0.042, -0.042), 'a2': (-0.724473, 0.0418, -0.0418), 'a3': (1.16206, 0.059, -0.059), 'a4': (2.2116, 0.119, -0.119), 'a5': (3.63309, 0.0778, -0.0778), 'a6': (7.98883, 0.0582, -0.0582)} | {'a1, a2': -0.0005407289810564767, 'a1, a3': -0.000828392990235048, 'a1, a4': 0.0008761591195911714, 'a1, a5': -0.0019008788107469684, 'a1, a6': -0.0014050937173051019, 'a2, a3': 0.0009113007522944533, 'a2, a4': -0.004805004886237591, 'a2, a5': 0.002226811884141149, 'a2, a6': 0.0004928134744757351, 'a3, a4': -0.0013217336566741943, 'a3, a5': 0.0013419773995932106, 'a3, a6': 0.001759055567624822, 'a4, a5': -0.005934523989329473, 'a4, a6': -0.0008871999727927387, 'a5, a6': 0.002256805259962912, 'a1, a1': 0.0017603340649730774, 'a2, a2': 0.001748519314959077, 'a3, a3': 0.003484770402723413, 'a4, a4': 0.014120885470339128, 'a5, a5': 0.006048587004194282, 'a6, a6': 0.0033892318843389817} | {'a1, a2': -0.308, 'a1, a3': -0.3343, 'a1, a4': 0.1753, 'a1, a5': -0.5817, 'a1, a6': -0.5748, 'a2, a3': 0.3695, 'a2, a4': -0.966, 'a2, a5': 0.6847, 'a2, a6': 0.2026, 'a3, a4': -0.1883, 'a3, a5': 0.2924, 'a3, a6': 0.5123, 'a4, a5': -0.641, 'a4, a6': -0.1281, 'a5, a6': 0.4984} | 0.6217 | 0.9186 | 222 | 92.98 | 0.4188 | 1 |
| 18 | a2x02 + a5tanh(a1x1(a3 + x0*2) + a4x0) + a6 + x1 + tanh(x1) | {'a1': (-0.817299, 0.0543, -0.0543), 'a2': (-0.255362, 0.0172, -0.0172), 'a3': (1.28416, 0.0739, -0.0739), 'a4': (2.52454, 0.157, -0.157), 'a5': (3.10092, 0.0619, -0.0619), 'a6': (8.18432, 0.0641, -0.0641)} | {'a1, a2': -0.0002430076440759181, 'a1, a3': 0.0016248524423857133, 'a1, a4': -0.008247861499530804, 'a1, a5': 0.0021608101277245544, 'a1, a6': 0.0007754422075273486, 'a2, a3': -0.0006629714663946102, 'a2, a4': 0.0003070132183849361, 'a2, a5': -0.0003778022756160151, 'a2, a6': -0.0007682086592622759, 'a3, a4': -0.0023845281075310057, 'a3, a5': 0.001358863100494988, 'a3, a6': 0.002824706525482493, 'a4, a5': -0.0060695283121996214, 'a4, a6': -0.0012411639559352016, 'a5, a6': 0.0017567698870768961, 'a1, a1': 0.002952689471088337, 'a2, a2': 0.000297053172032865, 'a3, a3': 0.005465767721367597, 'a4, a4': 0.024646106231997145, 'a5, a5': 0.0038314259210308127, 'a6, a6': 0.004110304640407563} | {'a1, a2': -0.2602, 'a1, a3': 0.4049, 'a1, a4': -0.9675, 'a1, a5': 0.6429, 'a1, a6': 0.2228, 'a2, a3': -0.5216, 'a2, a4': 0.1137, 'a2, a5': -0.3549, 'a2, a6': -0.6968, 'a3, a4': -0.2055, 'a3, a5': 0.2971, 'a3, a6': 0.5963, 'a4, a5': -0.6245, 'a4, a6': -0.1233, 'a5, a6': 0.4428} | 0.6157 | 0.9201 | 222 | 90.67 | 0.4084 | 1 |
| 19 | a2x02 + a4x1 + a6tanh(a1x1(a3 + x02) + a5x0) + a7 | {'a1': (-0.791623, 0.0563, -0.0563), 'a2': (-0.279066, 0.0203, -0.0203), 'a3': (1.3825, 0.0931, -0.0931), 'a4': (1.7665, 0.123, -0.123), 'a5': (2.47843, 0.161, -0.161), 'a6': (3.18621, 0.0819, -0.0819), 'a7': (8.28087, 0.075, -0.075)} | {'a1, a2': -0.0004939845452448802, 'a1, a3': 0.002917126393011942, 'a1, a4': 0.0029042633636752672, 'a1, a5': -0.008783841657696889, 'a1, a6': 0.003312608617608052, 'a1, a7': -0.0001523592732302307, 'a2, a3': -0.0012643601765891237, 'a2, a4': -0.0013339664036732717, 'a2, a5': 0.0009689908369055046, 'a2, a6': -0.0009679657682831902, 'a2, a7': -0.0003448788382639504, 'a3, a4': 0.006482815618975017, 'a3, a5': -0.005742805169693424, 'a3, a6': 0.0042816368928185865, 'a3, a7': 0.0008809799800150225, 'a4, a5': -0.007526625857807547, 'a4, a6': 0.006587357267729512, 'a4, a7': -0.004803913183925173, 'a5, a6': -0.009066148562401078, 'a5, a7': 0.0011382990873353258, 'a6, a7': -0.00028702864344154103, 'a1, a1': 0.0031724323973634267, 'a2, a2': 0.00041335051494632456, 'a3, a3': 0.008659738958585066, 'a4, a4': 0.015133017088212514, 'a5, a5': 0.025869850348240707, 'a6, a6': 0.006710052021955777, 'a7, a7': 0.005630133954113466} | {'a1, a2': -0.4322, 'a1, a3': 0.5565, 'a1, a4': 0.4194, 'a1, a5': -0.9691, 'a1, a6': 0.7184, 'a1, a7': -0.03608, 'a2, a3': -0.669, 'a2, a4': -0.5342, 'a2, a5': 0.2965, 'a2, a6': -0.5822, 'a2, a7': -0.2265, 'a3, a4': 0.5661, 'a3, a5': -0.3831, 'a3, a6': 0.5615, 'a3, a7': 0.1262, 'a4, a5': -0.3801, 'a4, a6': 0.6539, 'a4, a7': -0.5207, 'a5, a6': -0.6876, 'a5, a7': 0.09427, 'a6, a7': -0.04673} | 0.6057 | 0.9227 | 221 | 88.44 | 0.4002 | 1 |
| 20 | a2x02 + a4x1 + a6tanh(a1x1(a3 + x02) + a5x0) + a7 | {'a1': (-0.791623, 0.0563, -0.0563), 'a2': (-0.279066, 0.0203, -0.0203), 'a3': (1.3825, 0.0931, -0.0931), 'a4': (1.7665, 0.123, -0.123), 'a5': (2.47843, 0.161, -0.161), 'a6': (3.18621, 0.0819, -0.0819), 'a7': (8.28087, 0.075, -0.075)} | {'a1, a2': -0.0004939845451937595, 'a1, a3': 0.002917126392781098, 'a1, a4': 0.0029042633633276885, 'a1, a5': -0.008783841657609403, 'a1, a6': 0.0033126086174509136, 'a1, a7': -0.00015235927311964907, 'a2, a3': -0.0012643601764735697, 'a2, a4': -0.0013339664035287488, 'a2, a5': 0.0009689908368137817, 'a2, a6': -0.0009679657682042384, 'a2, a7': -0.000344878838294133, 'a3, a4': 0.006482815618282826, 'a3, a5': -0.005742805169342376, 'a3, a6': 0.004281636892505524, 'a3, a7': 0.0008809799802148023, 'a4, a5': -0.007526625857120323, 'a4, a6': 0.006587357267290269, 'a4, a7': -0.0048039131836732935, 'a5, a6': -0.009066148562174239, 'a5, a7': 0.0011382990870544023, 'a6, a7': -0.00028702864329022387, 'a1, a1': 0.0031724323972661165, 'a2, a2': 0.0004133505149198472, 'a3, a3': 0.008659738957984213, 'a4, a4': 0.015133017087409632, 'a5, a5': 0.025869850348450796, 'a6, a6': 0.006710052021712685, 'a7, a7': 0.005630133954037567} | {'a1, a2': -0.4322, 'a1, a3': 0.5565, 'a1, a4': 0.4194, 'a1, a5': -0.9691, 'a1, a6': 0.7184, 'a1, a7': -0.03608, 'a2, a3': -0.669, 'a2, a4': -0.5342, 'a2, a5': 0.2965, 'a2, a6': -0.5822, 'a2, a7': -0.2265, 'a3, a4': 0.5661, 'a3, a5': -0.3831, 'a3, a6': 0.5615, 'a3, a7': 0.1262, 'a4, a5': -0.3801, 'a4, a6': 0.6539, 'a4, a7': -0.5207, 'a5, a6': -0.6876, 'a5, a7': 0.09427, 'a6, a7': -0.04673} | 0.6057 | 0.9227 | 221 | 88.44 | 0.4002 | 1 |
| 21 | a2x02 + a4x1 + a6tanh(a1x1(a3 + x02) + a5x0) + a7 | {'a1': (-0.791627, 0.0563, -0.0563), 'a2': (-0.279064, 0.0203, -0.0203), 'a3': (1.38249, 0.0931, -0.0931), 'a4': (1.76649, 0.123, -0.123), 'a5': (2.47844, 0.161, -0.161), 'a6': (3.1862, 0.0819, -0.0819), 'a7': (8.28087, 0.075, -0.075)} | {'a1, a2': -0.0004939862720207721, 'a1, a3': 0.002916997653984153, 'a1, a4': 0.002904337990186432, 'a1, a5': -0.008784435621283901, 'a1, a6': 0.0033126510050157914, 'a1, a7': -0.00015241956511753585, 'a2, a3': -0.0012642758595258598, 'a2, a4': -0.0013339422722501457, 'a2, a5': 0.0009689943062622288, 'a2, a6': -0.0009679271052670293, 'a2, a7': -0.00034486188961475834, 'a3, a4': 0.006482504103296723, 'a3, a5': -0.005742541183514398, 'a3, a6': 0.004281298222648804, 'a3, a7': 0.0008808285761052932, 'a4, a5': -0.007526808468188679, 'a4, a6': 0.0065871725396248765, 'a4, a7': -0.0048040052692661615, 'a5, a6': -0.009066236829878477, 'a5, a7': 0.0011384485673520738, 'a6, a7': -0.0002870967025923125, 'a1, a1': 0.0031726541489196397, 'a2, a2': 0.0004133426423962927, 'a3, a3': 0.00865883644425214, 'a4, a4': 0.015132944299488615, 'a5, a5': 0.025871449878633657, 'a6, a6': 0.006709817085287559, 'a7, a7': 0.0056301237953332375} | {'a1, a2': -0.4322, 'a1, a3': 0.5565, 'a1, a4': 0.4194, 'a1, a5': -0.9691, 'a1, a6': 0.7184, 'a1, a7': -0.0361, 'a2, a3': -0.669, 'a2, a4': -0.5342, 'a2, a5': 0.2965, 'a2, a6': -0.5822, 'a2, a7': -0.2265, 'a3, a4': 0.5661, 'a3, a5': -0.3831, 'a3, a6': 0.5615, 'a3, a7': 0.1261, 'a4, a5': -0.3801, 'a4, a6': 0.6539, 'a4, a7': -0.5208, 'a5, a6': -0.6876, 'a5, a7': 0.09428, 'a6, a7': -0.04674} | 0.6057 | 0.9227 | 221 | 88.44 | 0.4002 | 1 |
| 22 | a2x02 + a4x1 + a6tanh(a1x1(a3 + x02) + a5x0) + a7 | {'a1': (-0.791627, 0.0563, -0.0563), 'a2': (-0.279064, 0.0203, -0.0203), 'a3': (1.38249, 0.0931, -0.0931), 'a4': (1.76649, 0.123, -0.123), 'a5': (2.47844, 0.161, -0.161), 'a6': (3.1862, 0.0819, -0.0819), 'a7': (8.28087, 0.075, -0.075)} | {'a1, a2': -0.0004939862720405661, 'a1, a3': 0.0029169976543138225, 'a1, a4': 0.00290433799016629, 'a1, a5': -0.0087844356206836, 'a1, a6': 0.0033126510050404913, 'a1, a7': -0.00015241956503395286, 'a2, a3': -0.0012642758596366746, 'a2, a4': -0.0013339422722665442, 'a2, a5': 0.0009689943063433381, 'a2, a6': -0.0009679271053102948, 'a2, a7': -0.0003448618896287391, 'a3, a4': 0.0064825041037749965, 'a3, a5': -0.005742541184430961, 'a3, a6': 0.00428129822317816, 'a3, a7': 0.0008808285763391245, 'a4, a5': -0.0075268084682163965, 'a4, a6': 0.006587172539777187, 'a4, a7': -0.0048040052689181075, 'a5, a6': -0.009066236830021229, 'a5, a7': 0.0011384485671315128, 'a6, a7': -0.00028709670247490017, 'a1, a1': 0.0031726541486970686, 'a2, a2': 0.00041334264239203635, 'a3, a3': 0.008658836445527953, 'a4, a4': 0.015132944299238364, 'a5, a5': 0.025871449876916076, 'a6, a6': 0.00670981708561166, 'a7, a7': 0.005630123795208105} | {'a1, a2': -0.4322, 'a1, a3': 0.5565, 'a1, a4': 0.4194, 'a1, a5': -0.9691, 'a1, a6': 0.7184, 'a1, a7': -0.0361, 'a2, a3': -0.669, 'a2, a4': -0.5342, 'a2, a5': 0.2965, 'a2, a6': -0.5822, 'a2, a7': -0.2265, 'a3, a4': 0.5661, 'a3, a5': -0.3831, 'a3, a6': 0.5615, 'a3, a7': 0.1261, 'a4, a5': -0.3801, 'a4, a6': 0.6539, 'a4, a7': -0.5208, 'a5, a6': -0.6876, 'a5, a7': 0.09428, 'a6, a7': -0.04674} | 0.6057 | 0.9227 | 221 | 88.44 | 0.4002 | 1 |
| 23 | a1x0 + a3x1 + a6tanh(a2x1(a4 + x02) + a5x0) + a7 + x1*tanh(x0 + x1) | {'a1': (-0.864211, 0.0535, -0.0535), 'a2': (-0.724799, 0.0481, -0.0481), 'a3': (1.17285, 0.14, -0.14), 'a4': (1.31808, 0.0775, -0.0775), 'a5': (2.25573, 0.135, -0.135), 'a6': (3.62066, 0.113, -0.113), 'a7': (8.26922, 0.0724, -0.0724)} | {'a1, a2': -0.0014232411998196003, 'a1, a3': -0.0049649560680475975, 'a1, a4': -0.0024974558897622825, 'a1, a5': 0.0032766437771954145, 'a1, a6': -0.004787130765254917, 'a1, a7': 0.0003192863111219924, 'a2, a3': 0.003591930092350963, 'a2, a4': 0.0022322035231011933, 'a2, a5': -0.006356400790226065, 'a2, a6': 0.004241916408201492, 'a2, a7': -0.0006657530961128127, 'a3, a4': 0.006708507473161003, 'a3, a5': -0.009461960443634312, 'a3, a6': 0.012053954153333544, 'a3, a7': -0.00642126733181302, 'a4, a5': -0.004817553064483952, 'a4, a6': 0.005472847112790237, 'a4, a7': -0.00048748617667422915, 'a5, a6': -0.011331150472809921, 'a5, a7': 0.0021036085821076115, 'a6, a7': -0.0017810090162681499, 'a1, a1': 0.0028590180196403866, 'a2, a2': 0.002318208144952795, 'a3, a3': 0.0196453514519063, 'a4, a4': 0.006012230459935899, 'a5, a5': 0.018335620058538962, 'a6, a6': 0.012848747688602844, 'a7, a7': 0.005248808061640568} | {'a1, a2': -0.5531, 'a1, a3': -0.6629, 'a1, a4': -0.6023, 'a1, a5': 0.4537, 'a1, a6': -0.7919, 'a1, a7': 0.08243, 'a2, a3': 0.5334, 'a2, a4': 0.5988, 'a2, a5': -0.9789, 'a2, a6': 0.7804, 'a2, a7': -0.1912, 'a3, a4': 0.6183, 'a3, a5': -0.5006, 'a3, a6': 0.7619, 'a3, a7': -0.6335, 'a4, a5': -0.4605, 'a4, a6': 0.6249, 'a4, a7': -0.08688, 'a5, a6': -0.7428, 'a5, a7': 0.2152, 'a6, a7': -0.2177} | 0.6036 | 0.9232 | 221 | 85.15 | 0.3853 | 1 |
| 24 | a6tanh(a1x1(a4 + x02) + a5x0) + a7 + 2x1 - (a2 + a3x0 + a3gauss(x0x1))*tanh(x0) | {'a1': (-0.756477, 0.0416, -0.0416), 'a2': (-0.252416, 0, 0), 'a3': (0.907866, 0.0428, -0.0428), 'a4': (1.43256, 0.0657, -0.0657), 'a5': (2.35824, 0.12, -0.12), 'a6': (3.618, 0.0706, -0.0706), 'a7': (8.48516, 0.0697, -0.0697)} | {'a1, a3': 0.00046188329653846057, 'a1, a4': 0.0011757711755909495, 'a1, a5': -0.0048335430693082675, 'a1, a6': 0.0018718506414310645, 'a1, a7': 0.0007037535001677861, 'a3, a4': 0.0012385548897243428, 'a3, a5': -0.0006410950144073071, 'a3, a6': 0.0017698915586353357, 'a3, a7': 0.0022797645489491245, 'a4, a5': -0.0018279483774723566, 'a4, a6': 0.0017145966441150828, 'a4, a7': 0.0025640209285039696, 'a5, a6': -0.005018940795094637, 'a5, a7': -0.0011831941330149496, 'a6, a7': 0.002996161789496539, 'a1, a1': 0.001730236679279166, 'a3, a3': 0.0018310936164700209, 'a4, a4': 0.0043153588232105, 'a5, a5': 0.014494005764627997, 'a6, a6': 0.004981333621483549, 'a7, a7': 0.004859165748541401} | {'a1, a3': 0.2594, 'a1, a4': 0.4302, 'a1, a5': -0.9683, 'a1, a6': 0.6373, 'a1, a7': 0.2427, 'a3, a4': 0.4405, 'a3, a5': -0.1248, 'a3, a6': 0.5857, 'a3, a7': 0.7642, 'a4, a5': -0.2319, 'a4, a6': 0.3697, 'a4, a7': 0.5599, 'a5, a6': -0.5924, 'a5, a7': -0.1415, 'a6, a7': 0.6089} | 0.5847 | 0.928 | 222 | 82.86 | 0.3732 | 1 |
| 25 | a6tanh(a1x1(a4 + x02) + a5x0) + a7 + 2x1 - (a2 + a3x0 + a3gauss(x0x1))*tanh(x0) | {'a1': (-0.756474, 0.0416, -0.0416), 'a2': (-0.24592, 0, 0), 'a3': (0.904929, 0.0428, -0.0428), 'a4': (1.43051, 0.0656, -0.0656), 'a5': (2.35782, 0.12, -0.12), 'a6': (3.61913, 0.0706, -0.0706), 'a7': (8.48323, 0.0697, -0.0697)} | {'a1, a3': 0.00046150616752100334, 'a1, a4': 0.0011723864533369536, 'a1, a5': -0.004827047016298538, 'a1, a6': 0.0018708830046674633, 'a1, a7': 0.0007026848052123419, 'a3, a4': 0.0012371465125216078, 'a3, a5': -0.0006402039075713262, 'a3, a6': 0.0017695567671061362, 'a3, a7': 0.0022791214756553956, 'a4, a5': -0.0018216530352712346, 'a4, a6': 0.001711917878762321, 'a4, a7': 0.0025604859983890532, 'a5, a6': -0.005015669461173687, 'a5, a7': -0.0011805168688894649, 'a6, a7': 0.002994247370276779, 'a1, a1': 0.0017280551590852463, 'a3, a3': 0.001830894275053867, 'a4, a4': 0.004302624074144447, 'a5, a5': 0.014473006730011543, 'a6, a6': 0.004980734344193129, 'a7, a7': 0.004856988967663828} | {'a1, a3': 0.2592, 'a1, a4': 0.4296, 'a1, a5': -0.967, 'a1, a6': 0.637, 'a1, a7': 0.2423, 'a3, a4': 0.4406, 'a3, a5': -0.1247, 'a3, a6': 0.5856, 'a3, a7': 0.764, 'a4, a5': -0.2314, 'a4, a6': 0.3696, 'a4, a7': 0.56, 'a5, a6': -0.592, 'a5, a7': -0.1411, 'a6, a7': 0.6085} | 0.5847 | 0.9279 | 222 | 82.83 | 0.3731 | 1 |
| 26 | a6tanh(a1x1(a4 + x02) + a5x0) + a7 + 2x1 - (a2 + a3x0 + a3gauss(a1x0x1))tanh(x0) | {'a1': (-0.749627, 0.0395, -0.0395), 'a2': (-0.252416, 0, 0), 'a3': (0.899519, 0.0411, -0.0411), 'a4': (1.40849, 0.061, -0.061), 'a5': (2.33045, 0.115, -0.115), 'a6': (3.68363, 0.0774, -0.0774), 'a7': (8.50325, 0.0699, -0.0699)} | {'a1, a3': 0.00032232640525036723, 'a1, a4': 0.0008670719820392182, 'a1, a5': -0.004373270738724293, 'a1, a6': 0.00213458516943271, 'a1, a7': 0.0007357334670280084, 'a3, a4': 0.0010100139950839505, 'a3, a5': -0.0003069642764581813, 'a3, a6': 0.0017669855442003833, 'a3, a7': 0.002193619486624535, 'a4, a5': -0.001109498153028776, 'a4, a6': 0.00162875091965668, 'a4, a7': 0.002374474721771423, 'a5, a6': -0.00577043943800116, 'a5, a7': -0.0013281801967186145, 'a6, a7': 0.003332281812935858, 'a1, a1': 0.001556878047832529, 'a3, a3': 0.0016932698766811858, 'a4, a4': 0.0037244555552816026, 'a5, a5': 0.013191395085959297, 'a6, a6': 0.005984630028783822, 'a7, a7': 0.0048832391038148406} | {'a1, a3': 0.1985, 'a1, a4': 0.3599, 'a1, a5': -0.9627, 'a1, a6': 0.6982, 'a1, a7': 0.2665, 'a3, a4': 0.4029, 'a3, a5': -0.06495, 'a3, a6': 0.5555, 'a3, a7': 0.7636, 'a4, a5': -0.1582, 'a4, a6': 0.345, 'a4, a7': 0.5569, 'a5, a6': -0.6483, 'a5, a7': -0.1652, 'a6, a7': 0.6159} | 0.5756 | 0.9302 | 222 | 81.11 | 0.3654 | 1 |
| 27 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 | {'a1': (-2.22962, 0.15, -0.15), 'a2': (-1.81858, 0.0573, -0.0573), 'a3': (-1.039, 0.0234, -0.0234), 'a4': (-1.09454, 0.0722, -0.0722), 'a5': (1.5473, 0.111, -0.111), 'a6': (2.02707, 0.0392, -0.0392), 'a7': (3.01079, 0.158, -0.158), 'a8': (3.69606, 0.116, -0.116), 'a9': (6.64518, 0.0563, -0.0563)} | {'a1, a2': 0.002961851028242208, 'a1, a3': 0.0019364436383187901, 'a1, a4': -0.008571570560427134, 'a1, a5': -0.011339035204035964, 'a1, a6': 0.001470911199690168, 'a1, a7': 0.002157884979029281, 'a1, a8': -0.0028217222629536225, 'a1, a9': -0.004109936346657322, 'a2, a3': 0.00021305172576517505, 'a2, a4': -0.0014435129725271722, 'a2, a5': -0.0006076280863143591, 'a2, a6': 0.0004114560337513138, 'a2, a7': 0.002274782338746819, 'a2, a8': 0.0017315089002078838, 'a2, a9': -0.0013890542940162205, 'a3, a4': -0.0007577416282422499, 'a3, a5': -0.0009809115404492042, 'a3, a6': 6.725556613334493e-05, 'a3, a7': 0.0016106269182972037, 'a3, a8': -0.000476357875399581, 'a3, a9': -0.0005921527234327146, 'a4, a5': 0.0013237387016640128, 'a4, a6': -7.468438538269943e-05, 'a4, a7': -0.000853961134535339, 'a4, a8': -0.0006886969057332446, 'a4, a9': 0.0018271713911823366, 'a5, a6': -0.0023325287017711203, 'a5, a7': -0.00209736028518956, 'a5, a8': 0.0031873683734100714, 'a5, a9': 0.0021073857014794984, 'a6, a7': 0.0025600614942941813, 'a6, a8': 0.0008825650224392384, 'a6, a9': -0.0006769841689099458, 'a7, a8': 0.0009893561014911708, 'a7, a9': -0.003820459020176973, 'a8, a9': -0.00315115925483407, 'a1, a1': 0.02244724173330112, 'a2, a2': 0.0032887310079403285, 'a3, a3': 0.0005460923591683448, 'a4, a4': 0.005216902459369146, 'a5, a5': 0.012303602054230194, 'a6, a6': 0.0015381272818814577, 'a7, a7': 0.024922073250367098, 'a8, a8': 0.013385126081460825, 'a9, a9': 0.0031715457188657968} | {'a1, a2': 0.3446, 'a1, a3': 0.5517, 'a1, a4': -0.7915, 'a1, a5': -0.681, 'a1, a6': 0.2502, 'a1, a7': 0.09105, 'a1, a8': -0.1622, 'a1, a9': -0.4867, 'a2, a3': 0.1589, 'a2, a4': -0.3489, 'a2, a5': -0.09553, 'a2, a6': 0.1832, 'a2, a7': 0.2513, 'a2, a8': 0.2605, 'a2, a9': -0.4306, 'a3, a4': -0.4485, 'a3, a5': -0.3777, 'a3, a6': 0.07332, 'a3, a7': 0.4356, 'a3, a8': -0.1755, 'a3, a9': -0.4495, 'a4, a5': 0.1652, 'a4, a6': -0.02639, 'a4, a7': -0.07486, 'a4, a8': -0.08223, 'a4, a9': 0.4495, 'a5, a6': -0.5361, 'a5, a7': -0.1196, 'a5, a8': 0.2475, 'a5, a9': 0.3372, 'a6, a7': 0.4133, 'a6, a8': 0.1941, 'a6, a9': -0.3067, 'a7, a8': 0.05398, 'a7, a9': -0.4295, 'a8, a9': -0.4825} | 0.4725 | 0.9529 | 219 | 59.69 | 0.2725 | 1 |
| 28 | a10 + a2tanh(a6x0x1 - 2x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) + gauss(a7) | {'a1': (-2.22962, 0.15, -0.15), 'a2': (-1.81858, 0.0573, -0.0573), 'a3': (-1.039, 0.0234, -0.0234), 'a4': (-1.09454, 0.0722, -0.0722), 'a5': (1.5473, 0.111, -0.111), 'a6': (2.02707, 0.0392, -0.0392), 'a7': (2.13, 0, 0), 'a8': (3.01079, 0.158, -0.158), 'a9': (3.69606, 0.116, -0.116), 'a10': (6.63448, 0.0563, -0.0563)} | {'a1, a2': 0.002961851028415304, 'a1, a3': 0.001936443638341123, 'a1, a4': -0.008571570560628367, 'a1, a5': -0.011339035203691833, 'a1, a6': 0.0014709111997197003, 'a1, a8': 0.002157884979217189, 'a1, a9': -0.002821722262256033, 'a1, a10': -0.0041099363469693255, 'a2, a3': 0.0002130517257910496, 'a2, a4': -0.0014435129726399446, 'a2, a5': -0.0006076280863810876, 'a2, a6': 0.00041145603378448035, 'a2, a8': 0.0022747823387543917, 'a2, a9': 0.001731508900283878, 'a2, a10': -0.0013890542940776561, 'a3, a4': -0.0007577416282669823, 'a3, a5': -0.0009809115404748347, 'a3, a6': 6.725556616130303e-05, 'a3, a8': 0.0016106269183718952, 'a3, a9': -0.0004763578753365272, 'a3, a10': -0.0005921527234702695, 'a4, a5': 0.0013237387017787296, 'a4, a6': -7.468438542969831e-05, 'a4, a8': -0.0008539611345905451, 'a4, a9': -0.0006886969059827478, 'a4, a10': 0.0018271713913521172, 'a5, a6': -0.002332528701796058, 'a5, a8': -0.0020973602854870224, 'a5, a9': 0.003187368373046552, 'a5, a10': 0.0021073857016582266, 'a6, a8': 0.0025600614945165785, 'a6, a9': 0.0008825650225271993, 'a6, a10': -0.0006769841689839357, 'a8, a9': 0.0009893561015810164, 'a8, a10': -0.003820459020255287, 'a9, a10': -0.003151159254892728, 'a1, a1': 0.022447241732978785, 'a2, a2': 0.003288731007972648, 'a3, a3': 0.0005460923591733526, 'a4, a4': 0.005216902459524357, 'a5, a5': 0.01230360205386297, 'a6, a6': 0.001538127281946892, 'a8, a8': 0.024922073250837548, 'a9, a9': 0.013385126081306075, 'a10, a10': 0.0031715457189570935} | {'a1, a2': 0.3446, 'a1, a3': 0.5517, 'a1, a4': -0.7915, 'a1, a5': -0.681, 'a1, a6': 0.2502, 'a1, a8': 0.09105, 'a1, a9': -0.1622, 'a1, a10': -0.4867, 'a2, a3': 0.1589, 'a2, a4': -0.3489, 'a2, a5': -0.09553, 'a2, a6': 0.1832, 'a2, a8': 0.2513, 'a2, a9': 0.2605, 'a2, a10': -0.4306, 'a3, a4': -0.4485, 'a3, a5': -0.3777, 'a3, a6': 0.07332, 'a3, a8': 0.4356, 'a3, a9': -0.1755, 'a3, a10': -0.4495, 'a4, a5': 0.1652, 'a4, a6': -0.02639, 'a4, a8': -0.07486, 'a4, a9': -0.08223, 'a4, a10': 0.4495, 'a5, a6': -0.5361, 'a5, a8': -0.1196, 'a5, a9': 0.2475, 'a5, a10': 0.3372, 'a6, a8': 0.4133, 'a6, a9': 0.1941, 'a6, a10': -0.3067, 'a8, a9': 0.05398, 'a8, a10': -0.4295, 'a9, a10': -0.4825} | 0.4725 | 0.9529 | 219 | 59.69 | 0.2725 | 1 |
| 29 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 | {'a1': (-2.22962, 0.15, -0.15), 'a2': (-1.81858, 0.0573, -0.0573), 'a3': (-1.039, 0.0234, -0.0234), 'a4': (-1.09454, 0.0722, -0.0722), 'a5': (1.5473, 0.111, -0.111), 'a6': (2.02707, 0.0392, -0.0392), 'a7': (3.01079, 0.158, -0.158), 'a8': (3.69606, 0.116, -0.116), 'a9': (6.64518, 0.0563, -0.0563)} | {'a1, a2': 0.002961851027976808, 'a1, a3': 0.0019364436382408267, 'a1, a4': -0.008571570560424423, 'a1, a5': -0.011339035202897429, 'a1, a6': 0.0014709111993752666, 'a1, a7': 0.0021578849782745114, 'a1, a8': -0.0028217222629408644, 'a1, a9': -0.004109936346404126, 'a2, a3': 0.00021305172573212608, 'a2, a4': -0.0014435129725082346, 'a2, a5': -0.0006076280860357697, 'a2, a6': 0.00041145603369322945, 'a2, a7': 0.0022747823384882695, 'a2, a8': 0.0017315089002163159, 'a2, a9': -0.0013890542939239516, 'a3, a4': -0.0007577416282453834, 'a3, a5': -0.0009809115403626753, 'a3, a6': 6.725556611017665e-05, 'a3, a7': 0.0016106269181838872, 'a3, a8': -0.0004763578754077062, 'a3, a9': -0.0005921527233978623, 'a4, a5': 0.0013237387014316605, 'a4, a6': -7.468438531925946e-05, 'a4, a7': -0.0008539611343980645, 'a4, a8': -0.0006886969057575997, 'a4, a9': 0.0018271713911945664, 'a5, a6': -0.002332528701508621, 'a5, a7': -0.002097360284549563, 'a5, a8': 0.0031873683734826236, 'a5, a9': 0.002107385701169237, 'a6, a7': 0.002560061494195159, 'a6, a8': 0.0008825650224584024, 'a6, a9': -0.0006769841688353495, 'a7, a8': 0.0009893561016003805, 'a7, a9': -0.003820459019890208, 'a8, a9': -0.003151159254793864, 'a1, a1': 0.02244724173228092, 'a2, a2': 0.0032887310078813046, 'a3, a3': 0.0005460923591555753, 'a4, a4': 0.0052169024595098545, 'a5, a5': 0.012303602053324106, 'a6, a6': 0.0015381272818277192, 'a7, a7': 0.024922073249704975, 'a8, a8': 0.013385126081329432, 'a9, a9': 0.003171545718756533} | {'a1, a2': 0.3446, 'a1, a3': 0.5517, 'a1, a4': -0.7915, 'a1, a5': -0.681, 'a1, a6': 0.2502, 'a1, a7': 0.09105, 'a1, a8': -0.1622, 'a1, a9': -0.4867, 'a2, a3': 0.1589, 'a2, a4': -0.3489, 'a2, a5': -0.09553, 'a2, a6': 0.1832, 'a2, a7': 0.2513, 'a2, a8': 0.2605, 'a2, a9': -0.4306, 'a3, a4': -0.4485, 'a3, a5': -0.3777, 'a3, a6': 0.07332, 'a3, a7': 0.4356, 'a3, a8': -0.1755, 'a3, a9': -0.4495, 'a4, a5': 0.1652, 'a4, a6': -0.02639, 'a4, a7': -0.07486, 'a4, a8': -0.08223, 'a4, a9': 0.4495, 'a5, a6': -0.5361, 'a5, a7': -0.1196, 'a5, a8': 0.2475, 'a5, a9': 0.3372, 'a6, a7': 0.4133, 'a6, a8': 0.1941, 'a6, a9': -0.3067, 'a7, a8': 0.05398, 'a7, a9': -0.4295, 'a8, a9': -0.4825} | 0.4725 | 0.9529 | 219 | 59.69 | 0.2725 | 1 |
| 30 | a10 + a2tanh(a7x0x1 - 2x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) + x0*gauss(-a2) | {'a1': (-2.24113, 0.145, -0.145), 'a2': (-1.781, 0.0574, -0.0574), 'a3': (-1.02713, 0.0233, -0.0233), 'a4': (-1.08516, 0.0695, -0.0695), 'a5': (1.54589, 0.109, -0.109), 'a6': (1.84, 0, 0), 'a7': (2.05446, 0.0421, -0.0421), 'a8': (3.03262, 0.157, -0.157), 'a9': (3.71686, 0.114, -0.114), 'a10': (6.61036, 0.0581, -0.0581)} | {'a1, a2': 0.002414059914225936, 'a1, a3': 0.0019292839767082208, 'a1, a4': -0.007845895105584847, 'a1, a5': -0.010862072647565961, 'a1, a7': 0.0016846238034121436, 'a1, a8': 0.0018017241439824945, 'a1, a9': -0.0027628762904674826, 'a1, a10': -0.004055729511039952, 'a2, a3': 0.00032277809175883666, 'a2, a4': -0.001139123663046092, 'a2, a5': -0.00047958947985174617, 'a2, a7': 0.0006912750663971403, 'a2, a8': 0.0021788599709981803, 'a2, a9': 0.001737823457804394, 'a2, a10': -0.0016180443166062797, 'a3, a4': -0.0007419337265386845, 'a3, a5': -0.0009793712244280754, 'a3, a7': 0.0001235614408299547, 'a3, a8': 0.0016412965186223991, 'a3, a9': -0.0003756544386180118, 'a3, a10': -0.0006573949651740938, 'a4, a5': 0.0011533661029189718, 'a4, a7': -0.00012004988563643737, 'a4, a8': -0.000548003403470714, 'a4, a9': -0.0006014172629574777, 'a4, a10': 0.0017470975149100287, 'a5, a7': -0.0024717584429346687, 'a5, a8': -0.002249256333708385, 'a5, a9': 0.0029733026111038296, 'a5, a10': 0.0021431432830383017, 'a7, a8': 0.0030013236414315764, 'a7, a9': 0.0010824059163802825, 'a7, a10': -0.0009132123875664883, 'a8, a9': 0.0012144412431050646, 'a8, a10': -0.004027445437922389, 'a9, a10': -0.0032818510682318786, 'a1, a1': 0.020988007794768365, 'a2, a2': 0.003300052153530519, 'a3, a3': 0.0005439224459199888, 'a4, a4': 0.004824429903559223, 'a5, a5': 0.011923222019420705, 'a7, a7': 0.0017739462716806792, 'a8, a8': 0.02477653666740665, 'a9, a9': 0.012995553927421388, 'a10, a10': 0.003380021491538907} | {'a1, a2': 0.29, 'a1, a3': 0.571, 'a1, a4': -0.7786, 'a1, a5': -0.6873, 'a1, a7': 0.276, 'a1, a8': 0.07914, 'a1, a9': -0.1671, 'a1, a10': -0.4814, 'a2, a3': 0.2413, 'a2, a4': -0.2855, 'a2, a5': -0.07665, 'a2, a7': 0.2861, 'a2, a8': 0.2418, 'a2, a9': 0.2656, 'a2, a10': -0.4852, 'a3, a4': -0.4582, 'a3, a5': -0.3856, 'a3, a7': 0.126, 'a3, a8': 0.4487, 'a3, a9': -0.1414, 'a3, a10': -0.4856, 'a4, a5': 0.1522, 'a4, a7': -0.04103, 'a4, a8': -0.05022, 'a4, a9': -0.07591, 'a4, a10': 0.4327, 'a5, a7': -0.5386, 'a5, a8': -0.1314, 'a5, a9': 0.2393, 'a5, a10': 0.3384, 'a7, a8': 0.4541, 'a7, a9': 0.2255, 'a7, a10': -0.3733, 'a8, a9': 0.06785, 'a8, a10': -0.4415, 'a9, a10': -0.4955} | 0.4678 | 0.9539 | 219 | 58.3 | 0.2662 | 1 |
| 31 | a6tanh(a2x1(a4 + x0) + 2x0) + a7gauss(a1 + a5x1(a3 + x0) + x1) + a8gauss(a3 + x0) + a9 | {'a1': (-2.34737, 0.0859, -0.0859), 'a2': (-2.01955, 0.0391, -0.0391), 'a3': (-1.01277, 0.0175, -0.0175), 'a4': (0.0831, 0, 0), 'a5': (1.52146, 0.1, -0.1), 'a6': (1.85326, 0.0521, -0.0521), 'a7': (3.08425, 0.154, -0.154), 'a8': (3.69653, 0.111, -0.111), 'a9': (6.7851, 0.0481, -0.0481)} | {'a1, a2': -0.0012866857515166873, 'a1, a3': 9.828183286214957e-05, 'a1, a5': -0.007588380137265614, 'a1, a6': -0.0003145793905253002, 'a1, a7': -0.0013412785235537858, 'a1, a8': -0.0028673625828604613, 'a1, a9': -0.0005874501005281017, 'a2, a3': -8.146409219533968e-05, 'a2, a5': 0.0021485271338256666, 'a2, a6': 0.00015824849193611236, 'a2, a7': -0.0027381445234635478, 'a2, a8': -0.0007894741835464955, 'a2, a9': 0.0005562859295572681, 'a3, a5': -0.0005880741283964443, 'a3, a6': 0.00016127108493209052, 'a3, a7': 0.0011285626728700683, 'a3, a8': -0.0004827761408762309, 'a3, a9': -0.0001400129860344929, 'a5, a6': -0.0003791354119944509, 'a5, a7': -0.0013464845926678321, 'a5, a8': 0.002790472882447444, 'a5, a9': 0.001096122299151165, 'a6, a7': -0.0010448758023418677, 'a6, a8': -0.0015544504891978857, 'a6, a9': 0.0008483967841694701, 'a7, a8': 0.0011413216304804533, 'a7, a9': -0.0028651078000882487, 'a8, a9': -0.0030125263638641174, 'a1, a1': 0.007376402086877976, 'a2, a2': 0.0015296951539704544, 'a3, a3': 0.0003051704167626284, 'a5, a5': 0.010078983496441148, 'a6, a6': 0.0027112347478075696, 'a7, a7': 0.023826951987243754, 'a8, a8': 0.012273289867254532, 'a9, a9': 0.0023093869987147035} | {'a1, a2': -0.3831, 'a1, a3': 0.06538, 'a1, a5': -0.8834, 'a1, a6': -0.07029, 'a1, a7': -0.1014, 'a1, a8': -0.3007, 'a1, a9': -0.1422, 'a2, a3': -0.1191, 'a2, a5': 0.5495, 'a2, a6': 0.07768, 'a2, a7': -0.4547, 'a2, a8': -0.1819, 'a2, a9': 0.2958, 'a3, a5': -0.336, 'a3, a6': 0.1769, 'a3, a7': 0.4188, 'a3, a8': -0.2485, 'a3, a9': -0.1663, 'a5, a6': -0.07277, 'a5, a7': -0.08743, 'a5, a8': 0.2514, 'a5, a9': 0.2279, 'a6, a7': -0.1302, 'a6, a8': -0.2688, 'a6, a9': 0.3385, 'a7, a8': 0.06677, 'a7, a9': -0.3868, 'a8, a9': -0.5642} | 0.4548 | 0.9564 | 220 | 57.06 | 0.2594 | 1 |
| 32 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 + x0gauss(2x0) | {'a1': (-2.27543, 0.141, -0.141), 'a2': (-1.80973, 0.0527, -0.0527), 'a3': (-1.05216, 0.0224, -0.0224), 'a4': (-1.05418, 0.0686, -0.0686), 'a5': (1.53247, 0.102, -0.102), 'a6': (2.05828, 0.0383, -0.0383), 'a7': (3.0124, 0.149, -0.149), 'a8': (3.54117, 0.108, -0.108), 'a9': (6.73812, 0.0517, -0.0517)} | {'a1, a2': 0.002391667024954788, 'a1, a3': 0.001718258908966987, 'a1, a4': -0.007597786416501343, 'a1, a5': -0.00972382514015877, 'a1, a6': 0.0013614990670900151, 'a1, a7': 0.0017460740329092752, 'a1, a8': -0.0025843247229126224, 'a1, a9': -0.003431930314285781, 'a2, a3': 0.00017557136692922517, 'a2, a4': -0.0012344107477323368, 'a2, a5': -0.0003214990225265599, 'a2, a6': 0.0003183305472690064, 'a2, a7': 0.0017476357542318525, 'a2, a8': 0.0014593950980594866, 'a2, a9': -0.0011192046555403784, 'a3, a4': -0.0006946673012355159, 'a3, a5': -0.0008253403936584412, 'a3, a6': 7.378698712509744e-05, 'a3, a7': 0.0014430492816275258, 'a3, a8': -0.0004098892248321041, 'a3, a9': -0.0005071747002860196, 'a4, a5': 0.0010197166646240495, 'a4, a6': -3.149144687600794e-05, 'a4, a7': -0.0006463910003877604, 'a4, a8': -0.0005526135414602446, 'a4, a9': 0.001536569043015693, 'a5, a6': -0.0021380871435989915, 'a5, a7': -0.0019106083908005922, 'a5, a8': 0.0027400376098003195, 'a5, a9': 0.0017283925429322094, 'a6, a7': 0.0025011725649185194, 'a6, a8': 0.0007961359209114404, 'a6, a9': -0.0006368972431507728, 'a7, a8': 0.0007663668909928554, 'a7, a9': -0.0032412963992067643, 'a8, a9': -0.0027289342138776753, 'a1, a1': 0.01983578607847719, 'a2, a2': 0.002773429185814051, 'a3, a3': 0.000502740692977333, 'a4, a4': 0.004709694529297591, 'a5, a5': 0.010408111392119805, 'a6, a6': 0.0014697479098816774, 'a7, a7': 0.022081713339159068, 'a8, a8': 0.011635904052353574, 'a9, a9': 0.002671619589221115} | {'a1, a2': 0.3219, 'a1, a3': 0.544, 'a1, a4': -0.7855, 'a1, a5': -0.6761, 'a1, a6': 0.2521, 'a1, a7': 0.08311, 'a1, a8': -0.1697, 'a1, a9': -0.4708, 'a2, a3': 0.1487, 'a2, a4': -0.3414, 'a2, a5': -0.05981, 'a2, a6': 0.1577, 'a2, a7': 0.2226, 'a2, a8': 0.2564, 'a2, a9': -0.4108, 'a3, a4': -0.4521, 'a3, a5': -0.3612, 'a3, a6': 0.08601, 'a3, a7': 0.4324, 'a3, a8': -0.1694, 'a3, a9': -0.4379, 'a4, a5': 0.1457, 'a4, a6': -0.01199, 'a4, a7': -0.06324, 'a4, a8': -0.07459, 'a4, a9': 0.4332, 'a5, a6': -0.5473, 'a5, a7': -0.1257, 'a5, a8': 0.2487, 'a5, a9': 0.3278, 'a6, a7': 0.4383, 'a6, a8': 0.1925, 'a6, a9': -0.3216, 'a7, a8': 0.04762, 'a7, a9': -0.4208, 'a8, a9': -0.4887} | 0.4445 | 0.9584 | 219 | 51.75 | 0.2363 | 1 |
| 33 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 + gauss(2x0)tanh(x0) | {'a1': (-2.2707, 0.141, -0.141), 'a2': (-1.81058, 0.0528, -0.0528), 'a3': (-1.0509, 0.0224, -0.0224), 'a4': (-1.0575, 0.0687, -0.0687), 'a5': (1.53266, 0.102, -0.102), 'a6': (2.05571, 0.0383, -0.0383), 'a7': (3.01206, 0.149, -0.149), 'a8': (3.55437, 0.108, -0.108), 'a9': (6.7302, 0.0518, -0.0518)} | {'a1, a2': 0.0024146594351155052, 'a1, a3': 0.0017200305515890218, 'a1, a4': -0.007610090121283127, 'a1, a5': -0.009751813048030585, 'a1, a6': 0.0013592783848403337, 'a1, a7': 0.0017723268804682854, 'a1, a8': -0.002585032585125306, 'a1, a9': -0.003455565873623069, 'a2, a3': 0.00017711191017221066, 'a2, a4': -0.0012412340049799174, 'a2, a5': -0.00033846463572266534, 'a2, a6': 0.000322639723330432, 'a2, a7': 0.0017733901751858792, 'a2, a8': 0.0014665608711768342, 'a2, a9': -0.0011303440422707409, 'a3, a4': -0.0006943844117366251, 'a3, a5': -0.0008292185306465613, 'a3, a6': 7.287621687565572e-05, 'a3, a7': 0.001444869445492011, 'a3, a8': -0.00041181639729063926, 'a3, a9': -0.0005097675843756973, 'a4, a5': 0.0010333112103779302, 'a4, a6': -3.469929645125091e-05, 'a4, a7': -0.0006608489072377975, 'a4, a8': -0.0005578822828036647, 'a4, a9': 0.0015478133526107467, 'a5, a6': -0.002136644962671061, 'a5, a7': -0.0019159798531505805, 'a5, a8': 0.0027535672629688036, 'a5, a9': 0.0017422626269042007, 'a6, a7': 0.0024886069384032813, 'a6, a8': 0.0007949689595646315, 'a6, a9': -0.0006357005572802676, 'a7, a8': 0.0007736662255806518, 'a7, a9': -0.003261480554823156, 'a8, a9': -0.0027370694367666107, 'a1, a1': 0.019852964352129906, 'a2, a2': 0.002788980324976186, 'a3, a3': 0.0005017927164235599, 'a4, a4': 0.004713380207837892, 'a5, a5': 0.010451385658715968, 'a6, a6': 0.0014640275152989059, 'a7, a7': 0.022115156463135895, 'a8, a8': 0.011674387992357286, 'a9, a9': 0.0026881439493621107} | {'a1, a2': 0.3243, 'a1, a3': 0.5446, 'a1, a4': -0.7856, 'a1, a5': -0.6781, 'a1, a6': 0.2517, 'a1, a7': 0.08436, 'a1, a8': -0.1698, 'a1, a9': -0.4731, 'a2, a3': 0.1497, 'a2, a4': -0.3422, 'a2, a5': -0.06285, 'a2, a6': 0.1595, 'a2, a7': 0.2254, 'a2, a8': 0.2572, 'a2, a9': -0.4133, 'a3, a4': -0.4512, 'a3, a5': -0.3629, 'a3, a6': 0.08495, 'a3, a7': 0.4329, 'a3, a8': -0.1702, 'a3, a9': -0.4393, 'a4, a5': 0.1475, 'a4, a6': -0.01319, 'a4, a7': -0.06456, 'a4, a8': -0.07519, 'a4, a9': 0.4349, 'a5, a6': -0.5469, 'a5, a7': -0.1261, 'a5, a8': 0.25, 'a5, a9': 0.3297, 'a6, a7': 0.4361, 'a6, a8': 0.1922, 'a6, a9': -0.3204, 'a7, a8': 0.04808, 'a7, a9': -0.4226, 'a8, a9': -0.4893} | 0.4452 | 0.9582 | 219 | 51.92 | 0.2371 | 1 |
| 34 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 + x0gauss(2x0) | {'a1': (-2.27543, 0.141, -0.141), 'a2': (-1.80973, 0.0527, -0.0527), 'a3': (-1.05216, 0.0224, -0.0224), 'a4': (-1.05418, 0.0686, -0.0686), 'a5': (1.53247, 0.102, -0.102), 'a6': (2.05828, 0.0383, -0.0383), 'a7': (3.0124, 0.149, -0.149), 'a8': (3.54117, 0.108, -0.108), 'a9': (6.73812, 0.0517, -0.0517)} | {'a1, a2': 0.002391667025141593, 'a1, a3': 0.0017182589089794662, 'a1, a4': -0.007597786416789645, 'a1, a5': -0.009723825140575055, 'a1, a6': 0.0013614990671120958, 'a1, a7': 0.0017460740333022924, 'a1, a8': -0.00258432472306246, 'a1, a9': -0.003431930314282527, 'a2, a3': 0.00017557136692309384, 'a2, a4': -0.0012344107477866137, 'a2, a5': -0.0003214990226065574, 'a2, a6': 0.00031833054727087204, 'a2, a7': 0.0017476357542121103, 'a2, a8': 0.0014593950979874478, 'a2, a9': -0.0011192046555321042, 'a3, a4': -0.0006946673012141672, 'a3, a5': -0.0008253403936704852, 'a3, a6': 7.378698711114929e-05, 'a3, a7': 0.001443049281550026, 'a3, a8': -0.00040988922486103293, 'a3, a9': -0.0005071747002489973, 'a4, a5': 0.001019716664621961, 'a4, a6': -3.149144686733098e-05, 'a4, a7': -0.0006463910004988165, 'a4, a8': -0.000552613541338196, 'a4, a9': 0.0015365690429712507, 'a5, a6': -0.0021380871435956613, 'a5, a7': -0.00191060839093576, 'a5, a8': 0.002740037609802037, 'a5, a9': 0.0017283925429083923, 'a6, a7': 0.0025011725646500497, 'a6, a8': 0.000796135920833034, 'a6, a9': -0.0006368972430812923, 'a7, a8': 0.0007663668905749134, 'a7, a9': -0.0032412963989706845, 'a8, a9': -0.0027289342137447473, 'a1, a1': 0.019835786079568395, 'a2, a2': 0.0027734291858485197, 'a3, a3': 0.0005027406929530245, 'a4, a4': 0.004709694529405038, 'a5, a5': 0.01040811139247589, 'a6, a6': 0.0014697479098072586, 'a7, a7': 0.022081713337728355, 'a8, a8': 0.011635904051936184, 'a9, a9': 0.002671619589124282} | {'a1, a2': 0.3219, 'a1, a3': 0.544, 'a1, a4': -0.7855, 'a1, a5': -0.6761, 'a1, a6': 0.2521, 'a1, a7': 0.08311, 'a1, a8': -0.1697, 'a1, a9': -0.4708, 'a2, a3': 0.1487, 'a2, a4': -0.3414, 'a2, a5': -0.05981, 'a2, a6': 0.1577, 'a2, a7': 0.2226, 'a2, a8': 0.2564, 'a2, a9': -0.4108, 'a3, a4': -0.4521, 'a3, a5': -0.3612, 'a3, a6': 0.08601, 'a3, a7': 0.4324, 'a3, a8': -0.1694, 'a3, a9': -0.4379, 'a4, a5': 0.1457, 'a4, a6': -0.01199, 'a4, a7': -0.06324, 'a4, a8': -0.07459, 'a4, a9': 0.4332, 'a5, a6': -0.5473, 'a5, a7': -0.1257, 'a5, a8': 0.2487, 'a5, a9': 0.3278, 'a6, a7': 0.4383, 'a6, a8': 0.1925, 'a6, a9': -0.3216, 'a7, a8': 0.04762, 'a7, a9': -0.4208, 'a8, a9': -0.4887} | 0.4445 | 0.9584 | 219 | 51.75 | 0.2363 | 1 |
| 35 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 + gauss(2x0)tanh(2*x0) | {'a1': (-2.29698, 0.137, -0.137), 'a2': (-1.80677, 0.0507, -0.0507), 'a3': (-1.05872, 0.0221, -0.0221), 'a4': (-1.03244, 0.0672, -0.0672), 'a5': (1.52183, 0.0978, -0.0978), 'a6': (2.07456, 0.038, -0.038), 'a7': (3.01401, 0.145, -0.145), 'a8': (3.46168, 0.105, -0.105), 'a9': (6.78558, 0.0497, -0.0497)} | {'a1, a2': 0.0021562160727938307, 'a1, a3': 0.0016284918606828886, 'a1, a4': -0.007203593279704466, 'a1, a5': -0.00900707280008826, 'a1, a6': 0.0013103570325294245, 'a1, a7': 0.0015993821520130871, 'a1, a8': -0.0025013557670935903, 'a1, a9': -0.0031548865412699464, 'a2, a3': 0.00016058072187590918, 'a2, a4': -0.001154501317410359, 'a2, a5': -0.00019935061472411392, 'a2, a6': 0.00027522780458605274, 'a2, a7': 0.0015257864909377227, 'a2, a8': 0.0013457388167109896, 'a2, a9': -0.0010096991621589555, 'a3, a4': -0.0006730946802407503, 'a3, a5': -0.0007573565281293672, 'a3, a6': 7.684677741183253e-05, 'a3, a7': 0.0013806307601105482, 'a3, a8': -0.00038320619383325693, 'a3, a9': -0.00047411643283094227, 'a4, a5': 0.0008906702275415922, 'a4, a6': -1.0722107502595015e-05, 'a4, a7': -0.0005672429379208062, 'a4, a8': -0.0004928399890317625, 'a4, a9': 0.0014217623634870278, 'a5, a6': -0.0020507057465834117, 'a5, a7': -0.0018501369477518838, 'a5, a8': 0.002562932914769043, 'a5, a9': 0.0015722058953945037, 'a6, a7': 0.002493240289437142, 'a6, a8': 0.0007568917219708478, 'a6, a9': -0.0006216168391233523, 'a7, a8': 0.0006637603909191235, 'a7, a9': -0.0030166678516820615, 'a8, a9': -0.002552991980843326, 'a1, a1': 0.018709533660200294, 'a2, a2': 0.0025674062130945315, 'a3, a3': 0.0004871996184687882, 'a4, a4': 0.0045190720990655395, 'a5, a5': 0.009569876638159907, 'a6, a6': 0.0014455956515260593, 'a7, a7': 0.020957914127655887, 'a8, a8': 0.010929694375873574, 'a9, a9': 0.0024719605890894426} | {'a1, a2': 0.3104, 'a1, a3': 0.5379, 'a1, a4': -0.7825, 'a1, a5': -0.6722, 'a1, a6': 0.2517, 'a1, a7': 0.08051, 'a1, a8': -0.1739, 'a1, a9': -0.4633, 'a2, a3': 0.1433, 'a2, a4': -0.3389, 'a2, a5': -0.0402, 'a2, a6': 0.1429, 'a2, a7': 0.2075, 'a2, a8': 0.2528, 'a2, a9': -0.4007, 'a3, a4': -0.4532, 'a3, a5': -0.3504, 'a3, a6': 0.09151, 'a3, a7': 0.4308, 'a3, a8': -0.1651, 'a3, a9': -0.4317, 'a4, a5': 0.1355, 'a4, a6': -0.004199, 'a4, a7': -0.05821, 'a4, a8': -0.06985, 'a4, a9': 0.4257, 'a5, a6': -0.5518, 'a5, a7': -0.1305, 'a5, a8': 0.2496, 'a5, a9': 0.3235, 'a6, a7': 0.4525, 'a6, a8': 0.1897, 'a6, a9': -0.3291, 'a7, a8': 0.0436, 'a7, a9': -0.4186, 'a8, a9': -0.4892} | 0.4306 | 0.9609 | 219 | 48.5 | 0.2215 | 1 |
| 36 | a10 + a2tanh(a6x0x1 - 2x0) + a5x0gauss(a7x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9*gauss(a3 + x0) | {'a1': (-2.37494, 0.142, -0.142), 'a2': (-1.80493, 0.0512, -0.0512), 'a3': (-1.06932, 0.0236, -0.0236), 'a4': (-1.01054, 0.0697, -0.0697), 'a5': (1.57278, 0.0956, -0.0956), 'a6': (2.07747, 0.0412, -0.0412), 'a7': (1.844, 0.258, -0.258), 'a8': (3.0112, 0.145, -0.145), 'a9': (3.41588, 0.142, -0.142), 'a10': (6.82897, 0.0721, -0.0721)} | {'a1, a2': 0.0019346402679883707, 'a1, a3': 0.001826063120725959, 'a1, a4': -0.0079004565822875, 'a1, a5': -0.00888926660362405, 'a1, a6': 0.0006952741941425416, 'a1, a7': 0.0021572995019912525, 'a1, a8': 0.000766815570408248, 'a1, a9': 0.00034784986658498407, 'a1, a10': -0.004388091882204815, 'a2, a3': 8.272821164009001e-05, 'a2, a4': -0.0009521654824693749, 'a2, a5': -0.0002315137960336403, 'a2, a6': 0.0004263078433569078, 'a2, a7': -0.002076277938673973, 'a2, a8': 0.001503072137973112, 'a2, a9': 0.0006650111218195068, 'a2, a10': -0.0005706890725699862, 'a3, a4': -0.0008132066494387901, 'a3, a5': -0.0007052599999316993, 'a3, a6': -9.506098282639115e-05, 'a3, a7': 0.0017488356483992672, 'a3, a8': 0.0012650046791933764, 'a3, a9': 0.0004428477666012559, 'a3, a10': -0.0008792938790779123, 'a4, a5': 0.0008976961482157958, 'a4, a6': 0.00033360276822143434, 'a4, a7': -0.004380727168057831, 'a4, a8': -0.0002568441217489131, 'a4, a9': -0.002351053607675208, 'a4, a10': 0.0023503801519513395, 'a5, a6': -0.0018437536132425575, 'a5, a7': 0.004847156323936999, 'a5, a8': -0.0013434301550296747, 'a5, a9': 0.0022987383504635885, 'a5, a10': 0.0013677617593213552, 'a6, a7': -0.005449156651665168, 'a6, a8': 0.0024610594105800273, 'a6, a9': -0.0008343124999623675, 'a6, a10': 0.0003826028653117964, 'a7, a8': -0.002208312598464443, 'a7, a9': 0.025368720608914846, 'a7, a10': -0.012737329533308204, 'a8, a9': 0.00021493851211474112, 'a8, a10': -0.0024703206927379575, 'a9, a10': -0.0077357688691160305, 'a1, a1': 0.02013955423481449, 'a2, a2': 0.0026179077121124762, 'a3, a3': 0.0005569988203260763, 'a4, a4': 0.004859133074119384, 'a5, a5': 0.009138010785909877, 'a6, a6': 0.001696216110393742, 'a7, a7': 0.06662278207337106, 'a8, a8': 0.021130865732976817, 'a9, a9': 0.020028027616545253, 'a10, a10': 0.005205121639773217} | {'a1, a2': 0.2661, 'a1, a3': 0.5449, 'a1, a4': -0.7982, 'a1, a5': -0.6548, 'a1, a6': 0.1188, 'a1, a7': 0.05888, 'a1, a8': 0.03724, 'a1, a9': 0.01725, 'a1, a10': -0.4286, 'a2, a3': 0.06847, 'a2, a4': -0.2668, 'a2, a5': -0.0473, 'a2, a6': 0.2021, 'a2, a7': -0.1572, 'a2, a8': 0.2025, 'a2, a9': 0.09147, 'a2, a10': -0.1546, 'a3, a4': -0.4944, 'a3, a5': -0.3126, 'a3, a6': -0.09777, 'a3, a7': 0.2872, 'a3, a8': 0.3697, 'a3, a9': 0.1321, 'a3, a10': -0.5168, 'a4, a5': 0.1347, 'a4, a6': 0.1162, 'a4, a7': -0.2436, 'a4, a8': -0.02541, 'a4, a9': -0.2375, 'a4, a10': 0.4677, 'a5, a6': -0.4681, 'a5, a7': 0.1965, 'a5, a8': -0.09691, 'a5, a9': 0.1693, 'a5, a10': 0.1984, 'a6, a7': -0.5126, 'a6, a8': 0.412, 'a6, a9': -0.1426, 'a6, a10': 0.1288, 'a7, a8': -0.05903, 'a7, a9': 0.6925, 'a7, a10': -0.6847, 'a8, a9': 0.01044, 'a8, a10': -0.2363, 'a9, a10': -0.7556} | 0.4344 | 0.9602 | 218 | 49.12 | 0.2253 | 1 |
| 37 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 + 2x0gauss(2x0)gauss(x1) | {'a1': (-2.21989, 0.132, -0.132), 'a2': (-1.75934, 0.0506, -0.0506), 'a3': (-1.04514, 0.0218, -0.0218), 'a4': (-1.07718, 0.0648, -0.0648), 'a5': (1.52665, 0.0968, -0.0968), 'a6': (2.05231, 0.0371, -0.0371), 'a7': (3.01461, 0.141, -0.141), 'a8': (3.5127, 0.103, -0.103), 'a9': (6.74563, 0.0498, -0.0498)} | {'a1, a2': 0.0022867705992580933, 'a1, a3': 0.0015835120526244385, 'a1, a4': -0.0067731987054389965, 'a1, a5': -0.008626696348023155, 'a1, a6': 0.0012278660054919606, 'a1, a7': 0.0019006622271550261, 'a1, a8': -0.0024789327014914375, 'a1, a9': -0.0031800950209738333, 'a2, a3': 0.0001837728047288616, 'a2, a4': -0.0011628102463883603, 'a2, a5': -0.00038997596446213736, 'a2, a6': 0.00031755484192074075, 'a2, a7': 0.00174379016141471, 'a2, a8': 0.0012842662347568733, 'a2, a9': -0.0010737060072464504, 'a3, a4': -0.0006504321125544564, 'a3, a5': -0.000771658766060148, 'a3, a6': 6.7242707251944e-05, 'a3, a7': 0.0013694947009845917, 'a3, a8': -0.00040368137196456226, 'a3, a9': -0.0004888430802991339, 'a4, a5': 0.001015146910941213, 'a4, a6': -5.48341868876919e-05, 'a4, a7': -0.0007580096931430543, 'a4, a8': -0.0004572603602921268, 'a4, a9': 0.0014506796695450712, 'a5, a6': -0.0019591683703241423, 'a5, a7': -0.0018322831743285183, 'a5, a8': 0.0026312948143987365, 'a5, a9': 0.0016181547472670262, 'a6, a7': 0.002259675021968796, 'a6, a8': 0.0007026566508895488, 'a6, a9': -0.0005899492376415663, 'a7, a8': 0.0005780790947518302, 'a7, a9': -0.003049310546358616, 'a8, a9': -0.00242584249344408, 'a1, a1': 0.017339387880638997, 'a2, a2': 0.0025637646679340215, 'a3, a3': 0.00047385927103035786, 'a4, a4': 0.004196204727498696, 'a5, a5': 0.009365972217346585, 'a6, a6': 0.0013789405346198227, 'a7, a7': 0.019853777346603155, 'a8, a8': 0.010651114793728942, 'a9, a9': 0.0024828995228842713} | {'a1, a2': 0.3424, 'a1, a3': 0.5503, 'a1, a4': -0.7919, 'a1, a5': -0.6751, 'a1, a6': 0.2507, 'a1, a7': 0.1021, 'a1, a8': -0.1823, 'a1, a9': -0.4838, 'a2, a3': 0.1666, 'a2, a4': -0.3546, 'a2, a5': -0.07962, 'a2, a6': 0.1692, 'a2, a7': 0.2444, 'a2, a8': 0.2464, 'a2, a9': -0.4261, 'a3, a4': -0.4604, 'a3, a5': -0.3657, 'a3, a6': 0.08314, 'a3, a7': 0.4455, 'a3, a8': -0.1798, 'a3, a9': -0.4503, 'a4, a5': 0.1618, 'a4, a6': -0.02281, 'a4, a7': -0.08296, 'a4, a8': -0.06851, 'a4, a9': 0.4495, 'a5, a6': -0.5455, 'a5, a7': -0.1342, 'a5, a8': 0.2639, 'a5, a9': 0.3357, 'a6, a7': 0.432, 'a6, a8': 0.1839, 'a6, a9': -0.3193, 'a7, a8': 0.0398, 'a7, a9': -0.4343, 'a8, a9': -0.4729} | 0.4226 | 0.9624 | 219 | 46.85 | 0.2139 | 1 |
| 38 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 + gauss(2x0)gauss(x1)tanh(2x0) | {'a1': (-2.22069, 0.133, -0.133), 'a2': (-1.77442, 0.051, -0.051), 'a3': (-1.04292, 0.0216, -0.0216), 'a4': (-1.08188, 0.065, -0.065), 'a5': (1.5305, 0.0977, -0.0977), 'a6': (2.04617, 0.0368, -0.0368), 'a7': (3.01368, 0.142, -0.142), 'a8': (3.55819, 0.104, -0.104), 'a9': (6.72141, 0.0502, -0.0502)} | {'a1, a2': 0.0023250995708466965, 'a1, a3': 0.0015867987261503006, 'a1, a4': -0.006842873133648095, 'a1, a5': -0.008786091336229462, 'a1, a6': 0.0012245110212414816, 'a1, a7': 0.0018864680612083475, 'a1, a8': -0.002442866195309074, 'a1, a9': -0.003235480276245181, 'a2, a3': 0.0001820542153474647, 'a2, a4': -0.0011711457179185874, 'a2, a5': -0.0004157057997165354, 'a2, a6': 0.0003228668850512511, 'a2, a7': 0.001778359445510287, 'a2, a8': 0.001317745009606436, 'a2, a9': -0.0010925002805057809, 'a3, a4': -0.0006444130779726534, 'a3, a5': -0.0007811501782044364, 'a3, a6': 6.460204793229831e-05, 'a3, a7': 0.001360979096985629, 'a3, a8': -0.0004013788813252463, 'a3, a9': -0.0004898858603436527, 'a4, a5': 0.001033255084990435, 'a4, a6': -5.66772336751067e-05, 'a4, a7': -0.0007493661810799427, 'a4, a8': -0.0004855893820018754, 'a4, a9': 0.0014677735967858392, 'a5, a6': -0.001952019547805405, 'a5, a7': -0.0018209453670497277, 'a5, a8': 0.0026331447655061507, 'a5, a9': 0.001649889264456266, 'a6, a7': 0.0022273528142006615, 'a6, a8': 0.000707873207125826, 'a6, a9': -0.0005835680459317287, 'a7, a8': 0.0006381872084871853, 'a7, a9': -0.0030827453453222235, 'a8, a9': -0.0024672917037681418, 'a1, a1': 0.017596630153394334, 'a2, a2': 0.002600243692899112, 'a3, a3': 0.00046798220082425017, 'a4, a4': 0.004224001185417843, 'a5, a5': 0.009542166355327444, 'a6, a6': 0.0013518756727707432, 'a7, a7': 0.02002911143393607, 'a8, a8': 0.010745994686589572, 'a9, a9': 0.0025191423924915963} | {'a1, a2': 0.3428, 'a1, a3': 0.5524, 'a1, a4': -0.7915, 'a1, a5': -0.6762, 'a1, a6': 0.2502, 'a1, a7': 0.09989, 'a1, a8': -0.1766, 'a1, a9': -0.4846, 'a2, a3': 0.1653, 'a2, a4': -0.3533, 'a2, a5': -0.08343, 'a2, a6': 0.172, 'a2, a7': 0.2456, 'a2, a8': 0.2484, 'a2, a9': -0.4267, 'a3, a4': -0.459, 'a3, a5': -0.3702, 'a3, a6': 0.08127, 'a3, a7': 0.4437, 'a3, a8': -0.1787, 'a3, a9': -0.4518, 'a4, a5': 0.1627, 'a4, a6': -0.02369, 'a4, a7': -0.08119, 'a4, a8': -0.07183, 'a4, a9': 0.4498, 'a5, a6': -0.5429, 'a5, a7': -0.1313, 'a5, a8': 0.2591, 'a5, a9': 0.3364, 'a6, a7': 0.4262, 'a6, a8': 0.185, 'a6, a9': -0.3159, 'a7, a8': 0.04321, 'a7, a9': -0.4325, 'a8, a9': -0.4726} | 0.4262 | 0.9617 | 219 | 47.42 | 0.2165 | 1 |
| 39 | a2tanh(a6x0x1 - 2x0) + a7gauss(a1 + a5x1(a4 + x0) + x1) + a8gauss(a3 + x0) + a9 + 2x0gauss(2x0)gauss(x1) | {'a1': (-2.2199, 0.132, -0.132), 'a2': (-1.75934, 0.0506, -0.0506), 'a3': (-1.04514, 0.0218, -0.0218), 'a4': (-1.07718, 0.0648, -0.0648), 'a5': (1.52665, 0.0968, -0.0968), 'a6': (2.05231, 0.0371, -0.0371), 'a7': (3.01461, 0.141, -0.141), 'a8': (3.5127, 0.103, -0.103), 'a9': (6.74563, 0.0498, -0.0498)} | {'a1, a2': 0.0022867651614701797, 'a1, a3': 0.0015835116498351131, 'a1, a4': -0.00677319163051072, 'a1, a5': -0.008626633006318373, 'a1, a6': 0.001227867699639215, 'a1, a7': 0.0019007014027321648, 'a1, a8': -0.0024789454718156323, 'a1, a9': -0.003180100227677083, 'a2, a3': 0.000183773531280009, 'a2, a4': -0.0011628138891444607, 'a2, a5': -0.00038996453337498645, 'a2, a6': 0.0003175524178070427, 'a2, a7': 0.0017437882411420937, 'a2, a8': 0.0012842615866052573, 'a2, a9': -0.0010737066137351452, 'a3, a4': -0.0006504347317858886, 'a3, a5': -0.0007716572690795841, 'a3, a6': 6.7244675857871e-05, 'a3, a7': 0.00136950303789857, 'a3, a8': -0.0004036824187094895, 'a3, a9': -0.00048884611788388, 'a4, a5': 0.0010151375810023876, 'a4, a6': -5.4832515423282416e-05, 'a4, a7': -0.0007580187181408032, 'a4, a8': -0.00045725704151246196, 'a4, a9': 0.0014506859513764387, 'a5, a6': -0.00195917712395353, 'a5, a7': -0.0018323261345011353, 'a5, a8': 0.002631301545545108, 'a5, a9': 0.0016181585177381347, 'a6, a7': 0.0022597045963199903, 'a6, a8': 0.0007026545670973045, 'a6, a9': -0.0005899563419353379, 'a7, a8': 0.0005780733494969977, 'a7, a9': -0.003049334385243377, 'a8, a9': -0.0024258396476944002, 'a1, a1': 0.017339299848640622, 'a2, a2': 0.0025637655403154746, 'a3, a3': 0.000473860256737415, 'a4, a4': 0.004196214450002065, 'a5, a5': 0.00936591937514583, 'a6, a6': 0.0013789516387583227, 'a7, a7': 0.019853830906166485, 'a8, a8': 0.010651128834462708, 'a9, a9': 0.0024829080756967646} | {'a1, a2': 0.3424, 'a1, a3': 0.5503, 'a1, a4': -0.7919, 'a1, a5': -0.6751, 'a1, a6': 0.2507, 'a1, a7': 0.1021, 'a1, a8': -0.1823, 'a1, a9': -0.4838, 'a2, a3': 0.1666, 'a2, a4': -0.3546, 'a2, a5': -0.07962, 'a2, a6': 0.1692, 'a2, a7': 0.2444, 'a2, a8': 0.2464, 'a2, a9': -0.4261, 'a3, a4': -0.4604, 'a3, a5': -0.3657, 'a3, a6': 0.08314, 'a3, a7': 0.4455, 'a3, a8': -0.1798, 'a3, a9': -0.4503, 'a4, a5': 0.1618, 'a4, a6': -0.02281, 'a4, a7': -0.08296, 'a4, a8': -0.06851, 'a4, a9': 0.4495, 'a5, a6': -0.5455, 'a5, a7': -0.1342, 'a5, a8': 0.2639, 'a5, a9': 0.3357, 'a6, a7': 0.432, 'a6, a8': 0.1839, 'a6, a9': -0.3193, 'a7, a8': 0.0398, 'a7, a9': -0.4343, 'a8, a9': -0.4729} | 0.4226 | 0.9624 | 219 | 46.85 | 0.2139 | 1 |
| 40 | a10 + a2tanh(a6x0x1 - 2x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) + gauss(2x0)gauss(x1)tanh(a7x0) | {'a1': (-2.21787, 0.129, -0.129), 'a2': (-1.76712, 0.0498, -0.0498), 'a3': (-1.04314, 0.0213, -0.0213), 'a4': (-1.08025, 0.0635, -0.0635), 'a5': (1.52724, 0.0951, -0.0951), 'a6': (2.04934, 0.0362, -0.0362), 'a7': (2.72, 0, 0), 'a8': (3.01421, 0.138, -0.138), 'a9': (3.53395, 0.101, -0.101), 'a10': (6.73478, 0.049, -0.049)} | {'a1, a2': 0.002212469524588273, 'a1, a3': 0.0015203088228591833, 'a1, a4': -0.006521765890394116, 'a1, a5': -0.008327342852025738, 'a1, a6': 0.0011747633662770724, 'a1, a8': 0.001831647715429514, 'a1, a9': -0.0023593251306836655, 'a1, a10': -0.0030804983152850243, 'a2, a3': 0.00017595886478501577, 'a2, a4': -0.0011207554087727025, 'a2, a5': -0.00038636547789000904, 'a2, a6': 0.00030694288458550623, 'a2, a8': 0.0016920109738269072, 'a2, a9': 0.0012455606266111793, 'a2, a10': -0.0010402753043521036, 'a3, a4': -0.0006214697473099019, 'a3, a5': -0.0007450293240197638, 'a3, a6': 6.347271313057643e-05, 'a3, a8': 0.001311718937463073, 'a3, a9': -0.00038673151264262043, 'a3, a10': -0.00047091517582234147, 'a4, a5': 0.0009821549023714235, 'a4, a6': -5.38375364979657e-05, 'a4, a8': -0.0007284013256731468, 'a4, a9': -0.00045294402556979855, 'a4, a10': 0.0014028000461791766, 'a5, a6': -0.0018753839911859896, 'a5, a8': -0.0017635188571643238, 'a5, a9': 0.002526016774832166, 'a5, a10': 0.0015699028980369616, 'a6, a8': 0.0021546344241494724, 'a6, a9': 0.0006744438196564887, 'a6, a10': -0.0005639015682288505, 'a8, a9': 0.0005838826570258479, 'a8, a10': -0.0029491373423642703, 'a9, a10': -0.0023442701680027197, 'a1, a1': 0.01670895162393559, 'a2, a2': 0.002476421684670087, 'a3, a3': 0.0004522007526842565, 'a4, a4': 0.004036443237258478, 'a5, a5': 0.009049027808947792, 'a6, a6': 0.0013098293973715868, 'a8, a8': 0.019119067117778547, 'a9, a9': 0.010257330727412339, 'a10, a10': 0.0024024227671698047} | {'a1, a2': 0.3444, 'a1, a3': 0.5533, 'a1, a4': -0.7962, 'a1, a5': -0.6788, 'a1, a6': 0.2516, 'a1, a8': 0.1029, 'a1, a9': -0.1811, 'a1, a10': -0.4873, 'a2, a3': 0.1659, 'a2, a4': -0.3544, 'a2, a5': -0.08158, 'a2, a6': 0.1703, 'a2, a8': 0.2462, 'a2, a9': 0.2476, 'a2, a10': -0.4263, 'a3, a4': -0.4595, 'a3, a5': -0.3678, 'a3, a6': 0.08232, 'a3, a8': 0.4463, 'a3, a9': -0.1798, 'a3, a10': -0.4512, 'a4, a5': 0.1626, 'a4, a6': -0.02342, 'a4, a8': -0.08312, 'a4, a9': -0.07062, 'a4, a10': 0.4508, 'a5, a6': -0.5448, 'a5, a8': -0.1344, 'a5, a9': 0.263, 'a5, a10': 0.3369, 'a6, a8': 0.4313, 'a6, a9': 0.1845, 'a6, a10': -0.3179, 'a8, a9': 0.04189, 'a8, a10': -0.4361, 'a9, a10': -0.4737} | 0.4165 | 0.9634 | 219 | 45.17 | 0.2063 | 1 |
| 41 | a10 + a2tanh(a6x0x1 - 2x0) + a7x0gauss(x1)gauss(a7x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) | {'a1': (-2.21908, 0.131, -0.131), 'a2': (-1.77834, 0.0522, -0.0522), 'a3': (-1.04169, 0.0215, -0.0215), 'a4': (-1.08349, 0.0645, -0.0645), 'a5': (1.53036, 0.0965, -0.0965), 'a6': (2.04475, 0.0367, -0.0367), 'a7': (2.49465, 0.466, -0.466), 'a8': (3.0134, 0.14, -0.14), 'a9': (3.56788, 0.11, -0.11), 'a10': (6.71666, 0.0546, -0.0546)} | {'a1, a2': 0.002225425043022318, 'a1, a3': 0.001551330111392787, 'a1, a4': -0.006680661946121275, 'a1, a5': -0.008541920616378084, 'a1, a6': 0.0011679933393869263, 'a1, a7': 0.0014653160269561406, 'a1, a8': 0.0018406574152686319, 'a1, a9': -0.0022325310982237267, 'a1, a10': -0.003230871088556972, 'a2, a3': 0.00013657442192398735, 'a2, a4': -0.0010402787134516736, 'a2, a5': -0.0004619811564365105, 'a2, a6': 0.0003993483759454952, 'a2, a7': -0.006357643497571391, 'a2, a8': 0.0017388694880038132, 'a2, a9': 0.0007189959386068748, 'a2, a10': -0.0007545429768697399, 'a3, a4': -0.0006467717114474461, 'a3, a5': -0.0007499026589601264, 'a3, a6': 4.394964790355882e-05, 'a3, a7': 0.0013774220799488883, 'a3, a8': 0.0013214716830054927, 'a3, a9': -0.00026693553051176813, 'a3, a10': -0.0005449325517604866, 'a4, a5': 0.0009797091754860173, 'a4, a6': -9.977027724868037e-06, 'a4, a7': -0.003439116373225077, 'a4, a8': -0.0007296538304658583, 'a4, a9': -0.0007859130263044899, 'a4, a10': 0.0016012189094905076, 'a5, a6': -0.0019176170818099236, 'a5, a7': 0.0017803833011868686, 'a5, a8': -0.0017748986451429226, 'a5, a9': 0.0027177798469277775, 'a5, a10': 0.0015247167246456082, 'a6, a7': -0.0028974803936088742, 'a6, a8': 0.0021583213925627995, 'a6, a9': 0.0004286354117650374, 'a6, a10': -0.0004238297567786065, 'a7, a8': -3.703851358934415e-05, 'a7, a9': 0.019409365711299174, 'a7, a10': -0.010683766828922386, 'a8, a9': 0.0006312642797588452, 'a8, a10': -0.003006846431259153, 'a9, a10': -0.003357759135516447, 'a1, a1': 0.01712856553935474, 'a2, a2': 0.002720106013606307, 'a3, a3': 0.0004623756103775187, 'a4, a4': 0.004163070908490374, 'a5, a5': 0.00931006080271577, 'a6, a6': 0.0013454512323658907, 'a7, a7': 0.217558672136783, 'a8, a8': 0.01948967944273501, 'a9, a9': 0.012188728763569277, 'a10, a10': 0.002982968394246484} | {'a1, a2': 0.3254, 'a1, a3': 0.5508, 'a1, a4': -0.7907, 'a1, a5': -0.6757, 'a1, a6': 0.2429, 'a1, a7': 0.024, 'a1, a8': 0.1004, 'a1, a9': -0.1549, 'a1, a10': -0.4517, 'a2, a3': 0.1217, 'a2, a4': -0.309, 'a2, a5': -0.09171, 'a2, a6': 0.2085, 'a2, a7': -0.2614, 'a2, a8': 0.2379, 'a2, a9': 0.1252, 'a2, a10': -0.2647, 'a3, a4': -0.4664, 'a3, a5': -0.3614, 'a3, a6': 0.0557, 'a3, a7': 0.1375, 'a3, a8': 0.439, 'a3, a9': -0.1129, 'a3, a10': -0.4642, 'a4, a5': 0.1574, 'a4, a6': -0.004215, 'a4, a7': -0.1144, 'a4, a8': -0.0808, 'a4, a9': -0.1108, 'a4, a10': 0.4547, 'a5, a6': -0.5415, 'a5, a7': 0.03959, 'a5, a8': -0.1314, 'a5, a9': 0.256, 'a5, a10': 0.2894, 'a6, a7': -0.1694, 'a6, a8': 0.4201, 'a6, a9': 0.1062, 'a6, a10': -0.2115, 'a7, a8': -0.0005677, 'a7, a9': 0.3786, 'a7, a10': -0.4199, 'a8, a9': 0.04099, 'a8, a10': -0.3934, 'a9, a10': -0.5591} | 0.4206 | 0.9627 | 218 | 45.96 | 0.2108 | 1 |
| 42 | a10x0gauss(x1)gauss(a7x0) + a11 + a2tanh(a6x0x1 - 2x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) | {'a1': (-2.20343, 0.122, -0.122), 'a2': (-1.74173, 0.0489, -0.0489), 'a3': (-1.04259, 0.0209, -0.0209), 'a4': (-1.07596, 0.061, -0.061), 'a5': (1.51382, 0.0896, -0.0896), 'a6': (2.0605, 0.0359, -0.0359), 'a7': (2.67306, 0.22, -0.22), 'a8': (3.01573, 0.132, -0.132), 'a9': (3.4452, 0.105, -0.105), 'a10': (5.83556, 0.826, -0.826), 'a11': (6.78379, 0.0518, -0.0518)} | {'a1, a2': 0.0019685410120958494, 'a1, a3': 0.0014073216129587198, 'a1, a4': -0.005899210803717977, 'a1, a5': -0.007344751447066468, 'a1, a6': 0.001072243572853371, 'a1, a7': 0.0006092746529865858, 'a1, a8': 0.0017861466051132075, 'a1, a9': -0.0021599357555908976, 'a1, a10': 0.001978118588567832, 'a1, a11': -0.0028207486814673063, 'a2, a3': 0.00013907823271373928, 'a2, a4': -0.0009471742182904413, 'a2, a5': -0.0003717221735764558, 'a2, a6': 0.0003492744854622242, 'a2, a7': -0.0022143394771090936, 'a2, a8': 0.0015302894477975362, 'a2, a9': 0.000592589616200736, 'a2, a10': -0.0019275477089318138, 'a2, a11': -0.0006653614191259972, 'a3, a4': -0.000603567026874731, 'a3, a5': -0.0006670868297401889, 'a3, a6': 4.976571803896485e-05, 'a3, a7': 0.0005457117109043962, 'a3, a8': 0.0012378920069608247, 'a3, a9': -0.0002719327757542136, 'a3, a10': 0.001149005395828379, 'a3, a11': -0.0004926473511337188, 'a4, a5': 0.000853345180436337, 'a4, a6': -8.281268731630172e-06, 'a4, a7': -0.0012866018365250318, 'a4, a8': -0.0007126980142992815, 'a4, a9': -0.0006481696287226357, 'a4, a10': -0.0015262346556238762, 'a4, a11': 0.00143542240819297, 'a5, a6': -0.0017670783747046122, 'a5, a7': 0.000588647162370488, 'a5, a8': -0.001698140573800709, 'a5, a9': 0.0025115410552050007, 'a5, a10': -0.00038871162086846046, 'a5, a11': 0.0013200039042801767, 'a6, a7': -0.001056045221335521, 'a6, a8': 0.0020547128715850266, 'a6, a9': 0.0003613321195124103, 'a6, a10': -0.0007678561027175422, 'a6, a11': -0.00040121616255313347, 'a7, a8': 4.1601239477439917e-05, 'a7, a9': 0.006927109515172914, 'a7, a10': 0.1305400804318181, 'a7, a11': -0.0038109237367273483, 'a8, a9': 0.0004314034929205783, 'a8, a10': 0.000568321056845511, 'a8, a11': -0.0027055558539273972, 'a9, a10': 0.004367886650514833, 'a9, a11': -0.002991804005817136, 'a10, a11': -0.00228572316407427, 'a1, a1': 0.014853115963193808, 'a2, a2': 0.002386422388973043, 'a3, a3': 0.0004370961916753277, 'a4, a4': 0.003726784042656216, 'a5, a5': 0.008033024332863884, 'a6, a6': 0.001290494955675914, 'a7, a7': 0.04818142987767759, 'a8, a8': 0.017367683345759485, 'a9, a9': 0.010947887704348425, 'a10, a10': 0.6822279254362973, 'a11, a11': 0.002680160521511827} | {'a1, a2': 0.33, 'a1, a3': 0.5519, 'a1, a4': -0.7927, 'a1, a5': -0.6719, 'a1, a6': 0.2448, 'a1, a7': 0.0227, 'a1, a8': 0.1109, 'a1, a9': -0.1686, 'a1, a10': 0.01963, 'a1, a11': -0.4463, 'a2, a3': 0.1361, 'a2, a4': -0.3175, 'a2, a5': -0.08484, 'a2, a6': 0.199, 'a2, a7': -0.2058, 'a2, a8': 0.2371, 'a2, a9': 0.1154, 'a2, a10': -0.04772, 'a2, a11': -0.2627, 'a3, a4': -0.4734, 'a3, a5': -0.3562, 'a3, a6': 0.06633, 'a3, a7': 0.1187, 'a3, a8': 0.4487, 'a3, a9': -0.1239, 'a3, a10': 0.06656, 'a3, a11': -0.4551, 'a4, a5': 0.1561, 'a4, a6': -0.003782, 'a4, a7': -0.09587, 'a4, a8': -0.08851, 'a4, a9': -0.1012, 'a4, a10': -0.03029, 'a4, a11': 0.4543, 'a5, a6': -0.5494, 'a5, a7': 0.02986, 'a5, a8': -0.1436, 'a5, a9': 0.267, 'a5, a10': -0.005252, 'a5, a11': 0.2844, 'a6, a7': -0.1337, 'a6, a8': 0.4336, 'a6, a9': 0.09586, 'a6, a10': -0.02589, 'a6, a11': -0.2158, 'a7, a8': 0.001433, 'a7, a9': 0.2999, 'a7, a10': 0.7184, 'a7, a11': -0.3344, 'a8, a9': 0.03113, 'a8, a10': 0.005212, 'a8, a11': -0.3957, 'a9, a10': 0.05036, 'a9, a11': -0.5501, 'a10, a11': -0.05342} | 0.3883 | 0.9682 | 217 | 40.36 | 0.186 | 1 |
| 43 | a10 + a2tanh(a6x0x1 - 2x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) + (a8tanh(x0) + x0)gauss(x1)gauss(a7x0) | {'a1': (-2.2064, 0.121, -0.121), 'a2': (-1.73507, 0.0501, -0.0501), 'a3': (-1.04111, 0.0212, -0.0212), 'a4': (-1.07497, 0.0608, -0.0608), 'a5': (1.51351, 0.089, -0.089), 'a6': (2.0669, 0.0368, -0.0368), 'a7': (2.29106, 0.181, -0.181), 'a8': (3.07437, 0.131, -0.131), 'a9': (3.44676, 0.11, -0.11), 'a10': (6.77451, 0.0549, -0.0549)} | {'a1, a2': 0.0019258579465681093, 'a1, a3': 0.0014160152649842184, 'a1, a4': -0.005809403874765187, 'a1, a5': -0.007215513752245781, 'a1, a6': 0.0010753984331906027, 'a1, a7': 0.000924371074483052, 'a1, a8': 0.0017713395938971622, 'a1, a9': -0.002063836612279226, 'a1, a10': -0.002873877761709982, 'a2, a3': 0.00011815293318027431, 'a2, a4': -0.0008985871482637024, 'a2, a5': -0.00035527819158288795, 'a2, a6': 0.0003771491341347515, 'a2, a7': -0.0024586577849126105, 'a2, a8': 0.0014269123082080108, 'a2, a9': 0.00031941913475010077, 'a2, a10': -0.0005023827791183747, 'a3, a4': -0.0006120883742183658, 'a3, a5': -0.0006687777039017529, 'a3, a6': 4.3928631710257214e-05, 'a3, a7': 0.0008220862886324067, 'a3, a8': 0.001250058865032302, 'a3, a9': -0.00021257052128608757, 'a3, a10': -0.0005350949597413209, 'a4, a5': 0.0008140949997005714, 'a4, a6': 1.7239348929317784e-05, 'a4, a7': -0.0016311104393509795, 'a4, a8': -0.0006962898928714944, 'a4, a9': -0.0008082449718892552, 'a4, a10': 0.0015178272135305659, 'a5, a6': -0.0017997638000395494, 'a5, a7': 0.0003780683174752988, 'a5, a8': -0.0017042168586409402, 'a5, a9': 0.0025445264796948933, 'a5, a10': 0.0013035744968871255, 'a6, a7': -0.0008375134980568459, 'a6, a8': 0.002063182232340849, 'a6, a9': 0.0002599060396682794, 'a6, a10': -0.0003443444703685685, 'a7, a8': 0.003999026834856208, 'a7, a9': 0.00921978380981348, 'a7, a10': -0.005627094644328751, 'a8, a9': 0.0005494277552989641, 'a8, a10': -0.002720852522194406, 'a9, a10': -0.0035794072220019764, 'a1, a1': 0.014621152943431834, 'a2, a2': 0.0025062406854488967, 'a3, a3': 0.00044948992969089406, 'a4, a4': 0.003691814845524965, 'a5, a5': 0.007914579466239646, 'a6, a6': 0.0013544035064894364, 'a7, a7': 0.032829598664349535, 'a8, a8': 0.0171846201757664, 'a9, a9': 0.012105243099542978, 'a10, a10': 0.003011611419268787} | {'a1, a2': 0.3177, 'a1, a3': 0.552, 'a1, a4': -0.7897, 'a1, a5': -0.67, 'a1, a6': 0.2415, 'a1, a7': 0.04221, 'a1, a8': 0.1117, 'a1, a9': -0.1551, 'a1, a10': -0.4326, 'a2, a3': 0.1112, 'a2, a4': -0.295, 'a2, a5': -0.07968, 'a2, a6': 0.2046, 'a2, a7': -0.2711, 'a2, a8': 0.2174, 'a2, a9': 0.05796, 'a2, a10': -0.1827, 'a3, a4': -0.4749, 'a3, a5': -0.3545, 'a3, a6': 0.05631, 'a3, a7': 0.2142, 'a3, a8': 0.4501, 'a3, a9': -0.09115, 'a3, a10': -0.4598, 'a4, a5': 0.1504, 'a4, a6': 0.007705, 'a4, a7': -0.1482, 'a4, a8': -0.08742, 'a4, a9': -0.1209, 'a4, a10': 0.4547, 'a5, a6': -0.5495, 'a5, a7': 0.02347, 'a5, a8': -0.1462, 'a5, a9': 0.2599, 'a5, a10': 0.2668, 'a6, a7': -0.1257, 'a6, a8': 0.428, 'a6, a9': 0.06421, 'a6, a10': -0.1704, 'a7, a8': 0.1687, 'a7, a9': 0.4631, 'a7, a10': -0.5663, 'a8, a9': 0.03813, 'a8, a10': -0.3783, 'a9, a10': -0.5927} | 0.396 | 0.9669 | 218 | 41.45 | 0.1902 | 1 |
| 44 | a11 + a2tanh(a6x0x1 - 2x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) + (a10x0exp(x0) + x0)gauss(x1)gauss(a7*x0) | {'a1': (-2.20656, 0.119, -0.119), 'a2': (-1.73639, 0.0476, -0.0476), 'a3': (-1.06779, 0.0212, -0.0212), 'a4': (-1.0575, 0.0611, -0.0611), 'a5': (1.49254, 0.0864, -0.0864), 'a6': (2.066, 0.0357, -0.0357), 'a7': (2.55495, 0.193, -0.193), 'a8': (3.0094, 0.129, -0.129), 'a9': (3.38226, 0.108, -0.108), 'a10': (5.05444, 0.78, -0.78), 'a11': (6.7723, 0.0485, -0.0485)} | {'a1, a2': 0.00187963155393892, 'a1, a3': 0.0013459552916855963, 'a1, a4': -0.005762271346693093, 'a1, a5': -0.0068467629604302025, 'a1, a6': 0.0010459643440158383, 'a1, a7': 9.628152668471344e-05, 'a1, a8': 0.001819975490152062, 'a1, a9': -0.002420648942678184, 'a1, a10': 0.0002740947938507145, 'a1, a11': -0.0025666758722919444, 'a2, a3': 0.00010895217862654293, 'a2, a4': -0.0009118725386351115, 'a2, a5': -0.0003436218172170338, 'a2, a6': 0.000321672165687628, 'a2, a7': -0.0018277104490130366, 'a2, a8': 0.001464784756981228, 'a2, a9': 0.0004088130284671138, 'a2, a10': -0.0013690381550021345, 'a2, a11': -0.0006630231567077447, 'a3, a4': -0.0006463379938613123, 'a3, a5': -0.0005606519569010468, 'a3, a6': 3.352989939120944e-05, 'a3, a7': 0.0007264567994596755, 'a3, a8': 0.0012138064661669195, 'a3, a9': -0.00010240441109478575, 'a3, a10': 6.330802226370782e-05, 'a3, a11': -0.0005084356807734594, 'a4, a5': 0.0007596213711949796, 'a4, a6': 7.507794617513731e-06, 'a4, a7': -0.0011725780841584043, 'a4, a8': -0.000752454908713115, 'a4, a9': -0.0006555439618555572, 'a4, a10': -0.00014976170327380816, 'a4, a11': 0.001372353451676216, 'a5, a6': -0.0017247496043622003, 'a5, a7': 0.0009405374955773045, 'a5, a8': -0.0016672451649286089, 'a5, a9': 0.0027272141142172224, 'a5, a10': -0.0006434681054972715, 'a5, a11': 0.0011329351344260801, 'a6, a7': -0.0008323433475622944, 'a6, a8': 0.0020476576084185807, 'a6, a9': 0.000259002197176089, 'a6, a10': -8.122063836022667e-05, 'a6, a11': -0.00041084461798118933, 'a7, a8': -0.0006951738277852665, 'a7, a9': 0.007832896565182185, 'a7, a10': 0.10556113624092212, 'a7, a11': -0.0027395262516512735, 'a8, a9': -1.3376622927336516e-05, 'a8, a10': -0.00192496716089917, 'a8, a11': -0.0024778359251636664, 'a9, a10': 0.005778684279244051, 'a9, a11': -0.002851479910689109, 'a10, a11': -0.001477918347511251, 'a1, a1': 0.014193884736694267, 'a2, a2': 0.002263866000348455, 'a3, a3': 0.00045076915350465805, 'a4, a4': 0.003735970351370294, 'a5, a5': 0.007463368870240702, 'a6, a6': 0.0012725976117999663, 'a7, a7': 0.03718503160173134, 'a8, a8': 0.016741860051514155, 'a9, a9': 0.0116088961364833, 'a10, a10': 0.6078909037993698, 'a11, a11': 0.00235379189975089} | {'a1, a2': 0.3318, 'a1, a3': 0.5335, 'a1, a4': -0.7925, 'a1, a5': -0.6659, 'a1, a6': 0.2462, 'a1, a7': 0.004192, 'a1, a8': 0.1186, 'a1, a9': -0.1883, 'a1, a10': 0.002953, 'a1, a11': -0.4447, 'a2, a3': 0.108, 'a2, a4': -0.3135, 'a2, a5': -0.08355, 'a2, a6': 0.1893, 'a2, a7': -0.1989, 'a2, a8': 0.2385, 'a2, a9': 0.07952, 'a2, a10': -0.03687, 'a2, a11': -0.2872, 'a3, a4': -0.499, 'a3, a5': -0.3061, 'a3, a6': 0.0443, 'a3, a7': 0.1775, 'a3, a8': 0.4438, 'a3, a9': -0.04473, 'a3, a10': 0.003828, 'a3, a11': -0.4945, 'a4, a5': 0.1439, 'a4, a6': 0.003442, 'a4, a7': -0.09944, 'a4, a8': -0.09547, 'a4, a9': -0.09934, 'a4, a10': -0.003142, 'a4, a11': 0.4631, 'a5, a6': -0.5592, 'a5, a7': 0.0564, 'a5, a8': -0.1496, 'a5, a9': 0.2923, 'a5, a10': -0.009548, 'a5, a11': 0.2704, 'a6, a7': -0.1208, 'a6, a8': 0.4446, 'a6, a9': 0.06718, 'a6, a10': -0.002917, 'a6, a11': -0.2373, 'a7, a8': -0.02792, 'a7, a9': 0.3758, 'a7, a10': 0.7012, 'a7, a11': -0.2927, 'a8, a9': -0.0009601, 'a8, a10': -0.01913, 'a8, a11': -0.396, 'a9, a10': 0.0686, 'a9, a11': -0.5444, 'a10, a11': -0.03907} | 0.3764 | 0.9701 | 217 | 38.52 | 0.1775 | 1 |
| 45 | a11 + a2tanh(a6x0x1 - 2x0) + a8gauss(a1 + a5x1(a4 + x0) + x1) + a9gauss(a3 + x0) + (a10exp(x0)tanh(x0) + x0)gauss(x1)gauss(a7*x0) | {'a1': (-2.20668, 0.119, -0.119), 'a2': (-1.73625, 0.0476, -0.0476), 'a3': (-1.06761, 0.0212, -0.0212), 'a4': (-1.05756, 0.0611, -0.0611), 'a5': (1.49275, 0.0864, -0.0864), 'a6': (2.06605, 0.0357, -0.0357), 'a7': (2.50655, 0.196, -0.196), 'a8': (3.00931, 0.129, -0.129), 'a9': (3.38259, 0.108, -0.108), 'a10': (5.06988, 0.781, -0.781), 'a11': (6.77275, 0.0486, -0.0486)} | {'a1, a2': 0.001879175203257623, 'a1, a3': 0.0013464724594471182, 'a1, a4': -0.005763201811627503, 'a1, a5': -0.006850073504976243, 'a1, a6': 0.001045994830473398, 'a1, a7': 0.000111643892087134, 'a1, a8': 0.001818535671827057, 'a1, a9': -0.0024158654461639956, 'a1, a10': 0.00031446790658405644, 'a1, a11': -0.0025688149420918524, 'a2, a3': 0.00010862196224585898, 'a2, a4': -0.0009107347254653844, 'a2, a5': -0.00034397720698484737, 'a2, a6': 0.00032280915246226896, 'a2, a7': -0.0018874418187367942, 'a2, a8': 0.0014646362021994248, 'a2, a9': 0.0004036566645066411, 'a2, a10': -0.0014268626509880398, 'a2, a11': -0.0006591285317729375, 'a3, a4': -0.0006461052442940424, 'a3, a5': -0.0005614203446846157, 'a3, a6': 3.342204288209079e-05, 'a3, a7': 0.0007393123594721412, 'a3, a8': 0.0012138732146936247, 'a3, a9': -0.00010279585060378354, 'a3, a10': 5.762688469643228e-05, 'a3, a11': -0.000509163769654361, 'a4, a5': 0.0007599522436784977, 'a4, a6': 7.998411368021245e-06, 'a4, a7': -0.0012052729532170436, 'a4, a8': -0.0007516976413901144, 'a4, a9': -0.0006585353016769546, 'a4, a10': -0.00017047222652768432, 'a4, a11': 0.0013744991669869474, 'a5, a6': -0.001725386962596384, 'a5, a7': 0.0009544167058848135, 'a5, a8': -0.0016668020485392729, 'a5, a9': 0.0027253959272326234, 'a5, a10': -0.0006671707621647993, 'a5, a11': 0.0011330734530433958, 'a6, a7': -0.0008612115434191546, 'a6, a8': 0.0020478872929700974, 'a6, a9': 0.00025675280341972475, 'a6, a10': -0.00010899834346675603, 'a6, a11': -0.00040908329736906424, 'a7, a8': -0.0006946475341331853, 'a7, a9': 0.008009263518027675, 'a7, a10': 0.1069621771030634, 'a7, a11': -0.002843347135680155, 'a8, a9': -8.792061490241974e-06, 'a8, a10': -0.0018911213309045635, 'a8, a11': -0.0024784487757222116, 'a9, a10': 0.005810285431521174, 'a9, a11': -0.0028636637853928257, 'a10, a11': -0.0015976915595309977, 'a1, a1': 0.014198722072604551, 'a2, a2': 0.0022663451204354944, 'a3, a3': 0.00045058669714690054, 'a4, a4': 0.0037361119773232456, 'a5, a5': 0.007467112073062194, 'a6, a6': 0.0012734069398626156, 'a7, a7': 0.038445881672051825, 'a8, a8': 0.01674342702259873, 'a9, a9': 0.011615880951209096, 'a10, a10': 0.6104309115983515, 'a11, a11': 0.0023615283153340374} | {'a1, a2': 0.3318, 'a1, a3': 0.5337, 'a1, a4': -0.7926, 'a1, a5': -0.6662, 'a1, a6': 0.2462, 'a1, a7': 0.004787, 'a1, a8': 0.1185, 'a1, a9': -0.188, 'a1, a10': 0.003384, 'a1, a11': -0.4442, 'a2, a3': 0.1076, 'a2, a4': -0.3131, 'a2, a5': -0.08364, 'a2, a6': 0.19, 'a2, a7': -0.2023, 'a2, a8': 0.2385, 'a2, a9': 0.07852, 'a2, a10': -0.03838, 'a2, a11': -0.2849, 'a3, a4': -0.4988, 'a3, a5': -0.3065, 'a3, a6': 0.04416, 'a3, a7': 0.1779, 'a3, a8': 0.4439, 'a3, a9': -0.0449, 'a3, a10': 0.00348, 'a3, a11': -0.4942, 'a4, a5': 0.144, 'a4, a6': 0.003667, 'a4, a7': -0.1006, 'a4, a8': -0.09537, 'a4, a9': -0.0998, 'a4, a10': -0.003572, 'a4, a11': 0.4629, 'a5, a6': -0.5594, 'a5, a7': 0.05636, 'a5, a8': -0.1495, 'a5, a9': 0.2921, 'a5, a10': -0.009887, 'a5, a11': 0.2698, 'a6, a7': -0.1231, 'a6, a8': 0.4447, 'a6, a9': 0.06659, 'a6, a10': -0.003909, 'a6, a11': -0.2358, 'a7, a8': -0.02747, 'a7, a9': 0.3784, 'a7, a10': 0.6988, 'a7, a11': -0.2985, 'a8, a9': -0.0006311, 'a8, a10': -0.01877, 'a8, a11': -0.3953, 'a9, a10': 0.06888, 'a9, a11': -0.5456, 'a10, a11': -0.04209} | 0.3764 | 0.9701 | 217 | 38.53 | 0.1776 | 1 |
The goodness-of-fit scores are plotted in candidates_gof.pdf, such as the chi2/ndf:
For other goodness-of-fit scores:
Click to expand
^ p-value
^ Root-mean-square error
^ Coefficient of determination R2
Now, lets take a look at one of the candidate functions, say candidate #45. The functional form can be found in the corresponding plots from the PDF files and in the csv table above, which is:
a11 + a2*tanh(a6*x0*x1 - 2*x0) + a8*gauss(a1 + a5*x1*(a4 + x0) + x1) + a9*gauss(a3 + x0) + (a10*exp(x0)*tanh(x0) + x0)*gauss(x1)*gauss(a7*x0),
where the fitted parameters can be found at the Parameters: (best-fit, +1, -1) column in the csv files, or can be directly read off from the corresponding pdf files:
{'a1': (-2.20668, 0.119, -0.119), 'a2': (-1.73625, 0.0476, -0.0476), 'a3': (-1.06761, 0.0212, -0.0212), 'a4': (-1.05756, 0.0611, -0.0611), 'a5': (1.49275, 0.0864, -0.0864), 'a6': (2.06605, 0.0357, -0.0357), 'a7': (2.50655, 0.196, -0.196), 'a8': (3.00931, 0.129, -0.129), 'a9': (3.38259, 0.108, -0.108), 'a10': (5.06988, 0.781, -0.781), 'a11': (6.77275, 0.0486, -0.0486)}
The plots can be found in the pdf files:
with correlation matrix:
Click to expand
Note
Currently for 2D datasets, only the best-fit values of the parameters are considered for plotting the candidate functions in the output file candidates.pdf. The uncertainty variations/coverage will be added in a future release, stay tuned!