Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=6.43508, x1=4.80912, y=148.82856
x0=-5.51714, x1=-8.43544, y=-392.58115
x0=9.34985, x1=-8.68694, y=705.56655
x0=-6.99306, x1=2.43399, y=-41.42897
x0=2.76882, x1=-4.84565, y=65.01278
x0=0.53140, x1=-6.69328, y=23.80688
x0=-3.75747, x1=4.34490, y=-70.93411
x0=-5.37165, x1=-0.17947, y=-0.17302
x0=-9.59151, x1=3.03449, y=-88.32009
x0=6.70150, x1=3.87565, y=100.66108
x0=-0.99403, x1=-3.57076, y=-12.67419
x0=4.36503, x1=1.57242, y=10.79248
x0=-0.67516, x1=-4.41790, y=-13.17776
x0=5.30677, x1=4.92476, y=128.70633
x0=3.14940, x1=-0.47047, y=0.69708
x0=0.74756, x1=9.69562, y=70.27454
x0=-9.29921, x1=-3.92737, y=-143.43327
x0=7.45161, x1=4.36306, y=141.85141
x0=0.13472, x1=-3.25938, y=1.43116
x0=-6.74503, x1=8.21801, y=-455.53040
x0=-5.93961, x1=-3.26138, y=-63.17728
x0=6.64025, x1=-3.45147, y=79.10297
x0=-5.43552, x1=6.31097, y=-216.48802
x0=0.53066, x1=5.59990, y=16.64090
x0=-6.69351, x1=3.28910, y=-72.41151
x0=-4.45066, x1=0.21377, y=-0.20338
x0=-8.80539, x1=7.55561, y=-502.67558
x0=5.96162, x1=-1.72188, y=17.67552
x0=0.61045, x1=-1.50614, y=1.38479
x0=-5.42328, x1=5.52003, y=-165.25107
x0=3.02078, x1=3.53952, y=37.84498
x0=9.59348, x1=7.44446, y=531.67047
x0=7.57904, x1=-6.57307, y=327.45427
x0=-6.63644, x1=3.51541, y=-82.01372
x0=0.04136, x1=1.81088, y=0.13563
x0=-3.80921, x1=-6.94996, y=-183.99235
x0=3.58929, x1=9.62121, y=332.25191
x0=3.76884, x1=-7.95228, y=238.33678
x0=-0.12199, x1=9.44456, y=-10.88118
x0=3.22461, x1=-5.95719, y=114.43519
x0=-6.68008, x1=-6.63013, y=-293.64687
x0=-3.93134, x1=-6.56653, y=-169.51708
x0=0.45301, x1=3.01657, y=4.12220
x0=-0.99742, x1=-7.13788, y=-50.81776
x0=2.83583, x1=-9.71585, y=267.69633
x0=-7.74351, x1=5.13305, y=-204.02724
x0=6.32916, x1=0.26230, y=0.43546
x0=9.21031, x1=-1.46911, y=19.87856
x0=-6.17437, x1=5.77690, y=-206.05451
x0=8.37545, x1=-1.10237, y=10.17799
x0=-2.33330, x1=-5.23101, y=-63.84710
x0=8.37802, x1=1.37751, y=15.89758
x0=3.98125, x1=5.81592, y=134.66554
x0=-5.86634, x1=0.21940, y=-0.28239
x0=-6.85518, x1=1.01258, y=-7.02873
x0=-8.61031, x1=-3.19938, y=-88.13525
x0=-7.85570, x1=-8.79816, y=-608.09096
x0=2.69206, x1=3.81628, y=39.20718
x0=2.80751, x1=2.22935, y=13.95332
x0=5.44930, x1=1.94841, y=20.68708
x0=-4.76696, x1=6.68574, y=-213.07934
x0=9.61620, x1=-2.60499, y=65.25531
x0=-0.64270, x1=-9.19925, y=-54.38893
x0=-1.44805, x1=7.40355, y=-79.37124
x0=8.59474, x1=9.06623, y=706.45774
x0=5.64988, x1=-1.69415, y=16.21588
x0=5.75010, x1=-0.28505, y=0.46720
x0=-2.57735, x1=5.49851, y=-77.92244
x0=-2.35858, x1=-0.98012, y=-2.26571
x0=3.14396, x1=5.42023, y=92.36579
x0=3.40883, x1=-5.01867, y=85.85848
x0=5.98285, x1=7.71367, y=355.98395
x0=9.92346, x1=-8.66486, y=745.05157
x0=9.30583, x1=5.27891, y=259.32508

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-6.91878, x1=3.77710, y=-98.70681
x0=-3.32022, x1=7.89394, y=-206.89715
x0=5.52648, x1=-3.61553, y=72.24264
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-2.50312, x1=-8.16781, y=-83.49555
x0=1.84892, x1=-3.66035, y=12.38610
x0=0.82304, x1=-7.86312, y=25.44384
x0=2.44399, x1=4.95510, y=30.00373
x0=3.83410, x1=5.37396, y=55.36336
x0=1.06674, x1=3.22027, y=5.53113
x0=-6.90436, x1=8.63218, y=-257.23776
x0=3.14771, x1=7.89174, y=98.01902
x0=4.22586, x1=-6.94023, y=101.77317
x0=-7.16756, x1=-7.97868, y=-228.14084
x0=-3.93644, x1=7.33828, y=-105.98915
x0=8.58795, x1=-4.92302, y=104.06916
x0=-0.41487, x1=-9.08015, y=-17.10303
x0=-9.35284, x1=-1.12094, y=-5.87597
x0=5.89112, x1=0.55269, y=0.89978
x0=4.73052, x1=9.80618, y=227.44606
x0=7.79483, x1=8.36215, y=272.52923
x0=-8.95753, x1=-1.11156, y=-5.53384
x0=0.39447, x1=1.67614, y=0.55412
x0=-9.94190, x1=0.18227, y=-0.16515
x0=-6.39578, x1=-9.03049, y=-260.78726
x0=4.84066, x1=1.13122, y=3.09717
x0=7.11354, x1=-0.72319, y=1.86019
x0=-6.53710, x1=0.40543, y=-0.53726
x0=-6.85926, x1=-2.09527, y=-15.05664
x0=4.07656, x1=-9.70284, y=191.89412
x0=4.50403, x1=1.26552, y=3.60667
x0=9.41653, x1=-7.30334, y=251.13331
x0=-6.46234, x1=6.19674, y=-124.07571
x0=3.06585, x1=-7.81529, y=93.62907
x0=8.80033, x1=-7.56334, y=251.70742
x0=-8.08087, x1=6.67658, y=-180.10928
x0=-4.11844, x1=-2.34322, y=-11.30652
x0=-2.59573, x1=-0.68724, y=-0.61297
x0=-5.76206, x1=1.81416, y=-9.48193
x0=-4.40506, x1=-6.56709, y=-94.98794
x0=-4.23360, x1=-0.89723, y=-1.70407
x0=-4.02346, x1=-9.71954, y=-190.04719
x0=7.72503, x1=3.86936, y=57.82947
x0=1.36730, x1=7.63336, y=39.83509
x0=-3.39473, x1=7.74431, y=-101.79814
x0=6.42827, x1=-1.59557, y=8.18271
x0=-7.95104, x1=7.54901, y=-226.55525
x0=1.18526, x1=-4.53435, y=12.18469
x0=-4.53887, x1=4.80987, y=-52.50302
x0=-6.46470, x1=4.14673, y=-55.58156
x0=-1.11193, x1=4.20466, y=-9.82898
x0=-3.92760, x1=6.22174, y=-76.01875
x0=5.79702, x1=1.86159, y=10.04483
x0=3.38378, x1=-0.86495, y=1.26576
x0=-1.38052, x1=4.05476, y=-11.34866
x0=5.74024, x1=-0.64765, y=1.20386
x0=8.37627, x1=5.37036, y=120.78898
x0=-2.90406, x1=8.03543, y=-93.75494
x0=-8.57970, x1=2.03031, y=-17.68345
x0=-2.55686, x1=-7.03661, y=-63.29996
x0=9.89655, x1=2.23615, y=24.74318
x0=4.22338, x1=-5.62554, y=66.82794
x0=6.63844, x1=-9.43972, y=295.76966
x0=0.79082, x1=-6.34572, y=15.92244
x0=-6.69410, x1=-3.84202, y=-49.40615
x0=-6.52589, x1=6.17667, y=-124.48565
x0=-1.70915, x1=6.45212, y=-35.57571
x0=6.35066, x1=8.86462, y=249.52246
x0=-9.07226, x1=3.31243, y=-49.77131
x0=9.41365, x1=-4.74696, y=106.06169
x0=-4.64671, x1=5.18780, y=-62.52909
x0=0.03957, x1=2.20553, y=0.09625
x0=-7.74340, x1=-5.79992, y=-130.24062
x0=-9.60775, x1=-7.35079, y=-259.57297
x0=-0.96486, x1=8.91952, y=-38.38101
x0=3.30117, x1=1.31848, y=2.86934
x0=-5.63805, x1=4.23890, y=-50.65308
x0=-4.84629, x1=6.40421, y=-99.38269
x0=-6.96366, x1=4.29812, y=-64.32261
x0=-8.73943, x1=0.66272, y=-1.91918
x0=-0.67601, x1=7.13674, y=-17.21566
x0=-1.32444, x1=1.52160, y=-1.53321
x0=0.72787, x1=3.00012, y=3.27567
x0=-4.94043, x1=-9.67562, y=-231.25572
x0=9.22794, x1=3.88667, y=69.69941
x0=-7.68952, x1=-5.64764, y=-122.63182
x0=7.18243, x1=9.77284, y=342.99084
x0=6.03205, x1=8.78343, y=232.68264
x0=-3.71412, x1=-2.14871, y=-8.57393
x0=5.49293, x1=-7.59192, y=158.29870
x0=6.23335, x1=-7.80798, y=190.00682
x0=4.41614, x1=-3.82796, y=32.35544
x0=-9.96437, x1=-4.16480, y=-86.41863
x0=4.71313, x1=3.15489, y=23.45572
x0=-5.85338, x1=0.92946, y=-2.52834
x0=0.85444, x1=-3.96485, y=6.71594
x0=6.05514, x1=7.52411, y=171.39745
x0=4.76013, x1=-5.43407, y=70.28122
x0=-7.39944, x1=-0.95749, y=-3.39184
x0=2.37997, x1=-6.49512, y=50.20149
x0=-2.05278, x1=6.90960, y=-49.00262
x0=-5.19415, x1=-7.53414, y=-147.41839

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-9.12772, x1=4.06576, y=-75.44243
x0=6.49170, x1=-3.31592, y=35.68923
x0=5.35743, x1=7.39687, y=146.56212
x0=2.09363, x1=-4.58632, y=22.01898
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-8.21210, y=-0.65144
x0=-7.59028, y=-0.77215
x0=-7.34880, y=-1.27240
x0=4.74597, y=-1.01706
x0=-6.90788, y=-1.45455
x0=-6.66040, y=-0.65634
x0=-3.97520, y=-0.93674
x0=-1.77204, y=-1.00029
x0=1.98250, y=-0.71609
x0=-0.53006, y=-0.76076
x0=1.23597, y=-0.67170
x0=-5.40104, y=-1.49659
x0=2.19717, y=-0.41767
x0=-0.26249, y=-0.93351
x0=6.13604, y=-1.04756
x0=1.49014, y=-0.93585
x0=0.81845, y=-0.57572
x0=-1.97864, y=-0.72291
x0=6.34341, y=-0.43484
x0=0.06912, y=-0.99523
x0=5.51180, y=-1.61685
x0=-7.06841, y=-1.21109
x0=7.24195, y=-0.52896
x0=7.00282, y=-1.70780
x0=2.61026, y=-1.43603
x0=-1.74281, y=-1.01781
x0=-0.04231, y=-0.99821
x0=-2.52142, y=-1.06047
x0=-2.75385, y=-1.89215
x0=-5.28053, y=-0.79527
x0=-0.81662, y=-0.57650
x0=-5.21250, y=-0.57174
x0=4.68252, y=-1.00194
x0=7.09553, y=-0.94431
x0=3.98137, y=-0.90461
x0=-0.10026, y=-0.99000
x0=-5.57722, y=-1.23250
x0=7.03678, y=-1.49664
x0=2.20112, y=-0.41576
x0=-0.45616, y=-0.81454
x0=-7.61924, y=-0.76793
x0=1.07874, y=-0.56617
x0=-1.09641, y=-0.57390
x0=6.70859, y=-0.22247
x0=1.48663, y=-0.93254
x0=-6.98919, y=-1.75194
x0=0.81386, y=-0.57769
x0=-7.04781, y=-1.40376
x0=5.67302, y=-0.43109
x0=-1.95235, y=-0.76875
x0=3.84914, y=-1.59154
x0=-5.28754, y=-0.83080
x0=3.19379, y=-0.30089
x0=-2.08069, y=-0.54731
x0=-2.10899, y=-0.50525
x0=-0.86562, y=-0.55852
x0=6.52151, y=-1.96490
x0=-5.32253, y=-1.03152
x0=-5.97718, y=-1.87766
x0=-6.08649, y=-1.59647
x0=-1.76648, y=-1.00411
x0=-0.22594, y=-0.95027
x0=5.62027, y=-0.86550
x0=3.99406, y=-0.84068
x0=-6.08376, y=-1.62162
x0=-8.88067, y=-0.72561
x0=-1.67346, y=-1.03429
x0=-6.69666, y=-0.30428
x0=6.86247, y=-0.97456
x0=-1.28957, y=-0.72364
x0=-2.97039, y=-1.55766
x0=-6.67082, y=-0.54199
x0=5.74510, y=-0.14147
x0=-3.17297, y=-0.40074
x0=-2.41247, y=-0.66680
x0=6.63892, y=-0.91297
x0=-5.59367, y=-1.09755
x0=6.38709, y=-0.95452
x0=1.96293, y=-0.75046
x0=1.81279, y=-0.96547
x0=-3.48264, y=-0.60065
x0=1.23700, y=-0.67264
x0=-3.85493, y=-1.56685
x0=-1.54344, y=-0.98117
x0=4.14972, y=-0.46747
x0=6.47425, y=-1.86366
x0=5.38810, y=-1.42968
x0=5.50750, y=-1.63081
x0=-1.98235, y=-0.71637
x0=7.83425, y=-1.01960
x0=7.75091, y=-1.03877
x0=3.30020, y=-0.01792
x0=-3.95416, y=-1.04989
x0=-8.75631, y=-1.75063
x0=-3.05092, y=-1.11590
x0=7.89769, y=-0.98067
x0=2.50664, y=-1.00004
x0=-8.83204, y=-1.42282
x0=5.99798, y=-1.94846
x0=7.80628, y=-1.04522
x0=3.96680, y=-0.98133
x0=-1.18822, y=-0.63139
x0=2.41624, y=-0.67791
x0=6.56832, y=-1.71420
x0=9.20073, y=-1.16462
x0=3.15219, y=-0.51050
x0=2.27812, y=-0.42286
x0=3.53286, y=-0.92124
x0=-4.28425, y=-0.80285
x0=-3.35502, y=-0.05568
x0=6.76020, y=-0.12124
x0=5.14069, y=-0.60050
x0=-4.99292, y=-1.05594
x0=-5.22142, y=-0.58702
x0=2.23929, y=-0.40825
x0=7.72841, y=-1.00477
x0=5.49433, y=-1.66372
x0=-5.75087, y=-0.14153
x0=-9.20149, y=-1.15110
x0=2.32536, y=-0.47387
x0=-1.22135, y=-0.65869
x0=-1.99515, y=-0.69367
x0=-3.92387, y=-1.21722
x0=7.16212, y=-0.45292
x0=-7.86899, y=-0.98814
x0=7.28052, y=-0.78820
x0=0.92217, y=-0.54600
x0=-6.97482, y=-1.76937
x0=2.70223, y=-1.77063
x0=4.26054, y=-0.71961
x0=9.43723, y=-1.88967
x0=5.08211, y=-0.76856

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=7.81896, y=-1.03474
x0=3.61265, y=-1.41532
x0=0.30030, y=-0.91397
x0=3.33007, y=-0.02203
x0=-1.17036, y=-0.61803
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=1.48663, y=-0.93254
x0=-7.19679, y=-0.38966
x0=-0.67898, y=-0.65381
x0=2.85479, y=-1.91749
x0=-7.23060, y=-0.47312
x0=-1.38661, y=-0.82808
x0=4.85027, y=-1.13735
x0=-3.88883, y=-1.40506
x0=8.35629, y=-1.31474
x0=-9.18843, y=-1.37480
x0=-7.70041, y=-0.94127
x0=9.53551, y=-1.17813
x0=-3.91488, y=-1.26654
x0=1.07874, y=-0.56617
x0=-3.62559, y=-1.48400
x0=-3.23661, y=-0.13607
x0=-4.03179, y=-0.67252
x0=2.81408, y=-1.94484
x0=-9.70231, y=-0.89166
x0=-2.77760, y=-1.92548
x0=-4.97269, y=-1.10142
x0=8.35837, y=-1.32848
x0=-0.95960, y=-0.54316
x0=-6.13081, y=-1.11075
x0=-1.34177, y=-0.77893
x0=9.11052, y=-1.92132
x0=8.63615, y=-0.48703
x0=7.27031, y=-0.71212
x0=-5.91238, y=-1.36185
x0=-6.81967, y=-0.50340
x0=-1.84212, y=-0.93323
x0=7.50117, y=-1.09588
x0=2.05425, y=-0.59039
x0=5.83941, y=-0.60001
x0=5.58509, y=-1.16917
x0=-3.90951, y=-1.29573
x0=-6.06734, y=-1.75686
x0=-9.71106, y=-1.05462
x0=5.34102, y=-1.14674
x0=-4.70375, y=-0.99884
x0=-9.07143, y=-1.53710
x0=5.08194, y=-0.76915
x0=0.70836, y=-0.63473
x0=0.21436, y=-0.95512
x0=8.46281, y=-1.34040
x0=6.06101, y=-1.80085
x0=-7.85996, y=-0.99481
x0=8.15076, y=-0.86978
x0=1.60512, y=-1.01838
x0=-9.65480, y=-0.16399
x0=5.63896, y=-0.70196
x0=6.21471, y=-0.20417
x0=5.03972, y=-0.91547
x0=-6.83249, y=-0.63596
x0=1.19420, y=-0.63608
x0=5.09058, y=-0.73998
x0=-6.76846, y=-0.14496
x0=-0.60760, y=-0.70374
x0=9.73033, y=-1.39892
x0=-6.16809, y=-0.66293
x0=2.61555, y=-1.45783
x0=-4.74032, y=-1.01289
x0=9.93802, y=-0.14552
x0=-3.28157, y=-0.03515
x0=-6.08376, y=-1.62162
x0=5.23218, y=-0.61134
x0=-6.07521, y=-1.69572
x0=-4.82908, y=-1.11304
x0=6.54084, y=-1.90117
x0=4.67230, y=-1.00641
x0=-3.04134, y=-1.17325
x0=2.21202, y=-0.41156
x0=-4.30497, y=-0.87656
x0=-0.61682, y=-0.69708
x0=-9.27680, y=-0.06587
x0=8.71081, y=-1.34904
x0=-2.14888, y=-0.45603
x0=6.71529, y=-0.18549
x0=-8.35231, y=-1.28776
x0=6.68465, y=-0.40540
x0=3.84438, y=-1.61109
x0=-5.26184, y=-0.71060
x0=-8.62593, y=-0.41625
x0=-2.44786, y=-0.77927
x0=-5.69906, y=-0.27093
x0=-9.70219, y=-0.88934
x0=-3.12839, y=-0.64583
x0=-2.53360, y=-1.11123
x0=1.48414, y=-0.93016
x0=4.87892, y=-1.16093
x0=-1.29288, y=-0.72704
x0=1.03498, y=-0.55186
x0=-6.97482, y=-1.76937
x0=3.91559, y=-1.26266
x0=-7.63288, y=-0.78289
x0=9.48244, y=-1.92663
x0=-6.45624, y=-1.73504
x0=3.24041, y=-0.12447
x0=4.51355, y=-1.19730
x0=0.33179, y=-0.89613
x0=6.33420, y=-0.34249
x0=4.94649, y=-1.14313
x0=4.10340, y=-0.48265
x0=0.67751, y=-0.65479
x0=-6.62600, y=-1.07381
x0=3.05392, y=-1.09781
x0=9.10395, y=-1.88468
x0=-0.96287, y=-0.54313
x0=-5.93569, y=-1.58746
x0=-0.82579, y=-0.57268
x0=2.92560, y=-1.74383
x0=0.42556, y=-0.83595
x0=-2.14904, y=-0.45586
x0=-6.22904, y=-0.10928
x0=2.78823, y=-1.93523
x0=4.39999, y=-1.15014
x0=-6.41202, y=-1.26772
x0=-8.18144, y=-0.73604
x0=-5.07942, y=-0.77781
x0=9.34932, y=-0.47476
x0=-3.92067, y=-1.23481
x0=1.17832, y=-0.62386
x0=-4.36143, y=-1.05903
x0=1.64555, y=-1.03139
x0=8.87854, y=-0.75669
x0=-2.13745, y=-0.46872

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-9.78098, y=-1.92656
x0=5.44525, y=-1.65639
x0=9.25743, y=-0.24194
x0=1.68155, y=-1.03414
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-4.58776, x1=-6.65960, y=5.53664
x0=-3.70447, x1=-5.40222, y=2.03761
x0=-7.29935, x1=8.82345, y=4.20583
x0=3.05855, x1=3.84059, y=-0.38096
x0=-9.74554, x1=6.42531, y=1.87267
x0=2.77986, x1=6.81178, y=1.83358
x0=-0.48282, x1=-2.71377, y=2.53461
x0=-1.39126, x1=-1.99007, y=2.40334
x0=-1.37263, x1=-7.84984, y=-0.02434
x0=-6.75309, x1=-0.23187, y=-2.64408
x0=-2.52814, x1=-3.70879, y=2.91326
x0=9.81237, x1=-9.81137, y=2.10038
x0=-1.74665, x1=-8.07122, y=1.27328
x0=-6.67303, x1=0.55699, y=-1.93559
x0=9.75536, x1=-8.31281, y=0.86257
x0=7.23969, x1=2.93230, y=-4.79609
x0=5.49576, x1=-0.44179, y=-3.84305
x0=2.24113, x1=3.21788, y=-4.68802
x0=-1.32101, x1=7.51756, y=-1.91920
x0=7.43025, x1=5.05989, y=1.86257
x0=-3.59796, x1=-5.94501, y=2.49440
x0=-0.23319, x1=-3.80955, y=1.08854
x0=5.31288, x1=8.48631, y=2.92578
x0=9.70362, x1=8.38695, y=0.83909
x0=2.75032, x1=9.26360, y=-2.25851
x0=-6.81017, x1=8.02638, y=0.51766
x0=8.51188, x1=6.23627, y=4.74245
x0=-0.46433, x1=-0.85011, y=-1.77311
x0=-7.77507, x1=7.56114, y=-1.72665
x0=-6.76382, x1=6.00718, y=-2.66905
x0=-4.42441, x1=2.13853, y=-3.09346
x0=-3.73819, x1=-2.85227, y=-3.23086
x0=2.52552, x1=-3.13323, y=-3.46687
x0=-4.76975, x1=1.36926, y=1.19909
x0=5.85849, x1=3.44057, y=2.36257
x0=7.24099, x1=5.73306, y=4.18349
x0=-4.51487, x1=-8.40194, y=-3.06488
x0=-1.01663, x1=5.23715, y=-2.55614
x0=-6.83608, x1=-6.38843, y=-3.13347
x0=0.17844, x1=-8.41632, y=-0.56781
x0=0.33378, x1=0.78078, y=1.39636
x0=7.27816, x1=-8.59684, y=-3.40392
x0=-9.88098, x1=-6.85988, y=2.21577
x0=1.56166, x1=-2.66169, y=-5.32203
x0=0.49247, x1=-3.37879, y=-2.75740
x0=-6.52660, x1=8.83467, y=1.20156
x0=9.59551, x1=0.18110, y=-1.00276
x0=6.75031, x1=6.78866, y=2.36406
x0=-5.53548, x1=2.99411, y=-4.03544
x0=-9.00181, x1=-9.23984, y=2.42081
x0=5.29059, x1=6.09751, y=-4.93832
x0=-5.37052, x1=-0.12236, y=4.71132
x0=0.49219, x1=4.67812, y=-0.09715
x0=-9.88224, x1=5.62426, y=2.09528
x0=-1.69516, x1=3.18416, y=5.94826
x0=6.15482, x1=-8.85712, y=0.64761
x0=0.81498, x1=-7.51633, y=1.44643
x0=-1.88172, x1=-9.21774, y=5.59032
x0=3.38438, x1=8.67904, y=1.05960
x0=1.18885, x1=4.99206, y=1.53687
x0=-3.26020, x1=7.50108, y=0.24539
x0=-9.93418, x1=-2.25029, y=-1.83867
x0=-4.74104, x1=5.83433, y=5.40345
x0=2.78338, x1=5.55776, y=1.57396
x0=-1.14392, x1=-9.49704, y=5.44734
x0=6.45061, x1=-8.15147, y=-0.29307
x0=8.29325, x1=-9.08090, y=-5.11246
x0=1.89469, x1=9.45363, y=-5.68566
x0=7.04203, x1=-1.12802, y=1.76887
x0=3.88517, x1=-6.06339, y=-3.96385
x0=-8.30983, x1=4.45961, y=1.34735
x0=-3.06306, x1=2.26803, y=0.30223
x0=2.04906, x1=3.94589, y=-3.69474
x0=-9.28649, x1=4.03909, y=0.51576
x0=-4.96500, x1=-5.19001, y=2.67045
x0=0.40295, x1=-8.03217, y=-0.41702
x0=5.86116, x1=-5.08872, y=-0.90322
x0=9.30534, x1=8.88824, y=-0.61446
x0=-8.28068, x1=8.17707, y=1.73416
x0=-4.03902, x1=9.17971, y=-4.55019
x0=-7.18931, x1=-0.24380, y=-4.58304
x0=3.43996, x1=1.20640, y=-0.62858
x0=7.91344, x1=-1.18712, y=2.24200
x0=-1.00251, x1=0.51393, y=-4.40368
x0=2.60016, x1=-0.40961, y=2.83640
x0=2.85779, x1=-4.20392, y=-0.81792
x0=-8.78839, x1=-5.20376, y=-1.68244
x0=-1.34726, x1=3.04873, y=5.82551
x0=1.45645, x1=-3.50248, y=-5.57684
x0=9.79229, x1=8.57667, y=1.42584
x0=-4.16455, x1=-4.08980, y=-2.98679
x0=5.28722, x1=6.69607, y=-4.61256
x0=2.22186, x1=6.90065, y=3.89135
x0=-6.58432, x1=5.57394, y=-1.35050
x0=3.09922, x1=7.40593, y=0.11011
x0=7.32578, x1=-5.84849, y=4.70033
x0=-9.01126, x1=4.42535, y=0.68258
x0=6.37382, x1=9.36514, y=-0.54211
x0=9.20795, x1=-6.69439, y=1.18318
x0=7.26320, x1=0.71025, y=3.77813
x0=6.26515, x1=1.82945, y=0.02767
x0=-3.21606, x1=-8.79947, y=-0.36195
x0=1.11266, x1=3.92057, y=-3.82947
x0=2.22611, x1=-1.59156, y=-0.09879
x0=-5.60370, x1=-8.78185, y=-3.01757
x0=-7.83175, x1=-7.24417, y=-3.43542
x0=-4.95874, x1=7.70091, y=0.88725
x0=3.32529, x1=3.23697, y=1.09099
x0=-0.58976, x1=-1.49150, y=-0.26435
x0=-6.37816, x1=-5.16486, y=-0.24874
x0=-5.70225, x1=-0.81189, y=2.26589
x0=-6.19047, x1=7.02943, y=0.40788
x0=5.87224, x1=-3.47288, y=2.26652
x0=4.82732, x1=3.78517, y=4.76805
x0=-8.30383, x1=-0.74689, y=-3.96481
x0=-4.07389, x1=-0.46499, y=4.30642
x0=3.78026, x1=4.79458, y=-0.29363
x0=5.11785, x1=-4.63346, y=0.43473
x0=-5.89138, x1=1.92294, y=-0.79024

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=9.72856, x1=8.03060, y=0.31534
x0=8.11196, x1=2.20820, y=-3.45248
x0=-2.51308, x1=-7.53234, y=-1.11517
x0=-4.13610, x1=1.81878, y=-1.23485
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=1.51844, x1=-9.86912, y=0.04376
x0=0.25140, x1=-0.35405, y=4.40214
x0=3.70083, x1=-0.25229, y=1.94083
x0=9.35426, x1=-0.26120, y=1.50570
x0=5.91888, x1=7.60917, y=2029855.68314
x0=9.32102, x1=-7.27410, y=0.00000
x0=5.72536, x1=0.07582, y=3.08193
x0=5.59112, x1=4.35081, y=4826.03418
x0=6.57008, x1=6.37302, y=438288.86312
x0=3.85034, x1=0.31319, y=4.11847
x0=9.03891, x1=9.62215, y=4278128539.19272
x0=8.05154, x1=4.69972, y=48836.09131
x0=9.29833, x1=-3.23278, y=0.00200
x0=9.48163, x1=-8.11926, y=0.00000
x0=9.17718, x1=-5.87916, y=0.00001
x0=4.32238, x1=-0.80314, y=0.83328
x0=7.56631, x1=-6.80545, y=0.00000
x0=4.66133, x1=-6.11917, y=0.00022
x0=6.16098, x1=-6.84249, y=0.00001
x0=7.09773, x1=5.25324, y=79890.89957
x0=1.11266, x1=-5.37642, y=1.52089
x0=3.90289, x1=3.25628, y=227.55176
x0=1.39741, x1=2.93437, y=7.20768
x0=0.22030, x1=-9.62924, y=5722054.38019
x0=4.63698, x1=7.32748, y=205677.11069
x0=7.11857, x1=7.18681, y=3608678.05074
x0=5.75272, x1=-0.66636, y=0.84143
x0=4.10998, x1=-7.97539, y=0.00003
x0=9.26955, x1=-0.84942, y=0.40731
x0=6.83045, x1=-6.81065, y=0.00001
x0=1.69781, x1=5.50323, y=49.71675
x0=2.20248, x1=8.44384, y=2122.55400
x0=2.48282, x1=8.96762, y=9399.13237
x0=6.77422, x1=-8.12565, y=0.00000
x0=0.08033, x1=-6.57632, y=42965655.97835
x0=1.31951, x1=5.25038, y=11.57625
x0=9.09680, x1=-5.72063, y=0.00001
x0=4.47533, x1=-7.83709, y=0.00002
x0=2.47088, x1=9.05673, y=9756.90898
x0=8.38665, x1=6.07661, y=1105741.48677
x0=5.44762, x1=-2.16218, y=0.06911
x0=2.35703, x1=-8.31052, y=0.00217
x0=6.22682, x1=3.04992, y=714.18308
x0=1.90299, x1=-6.06284, y=0.05460
x0=3.88036, x1=8.12050, y=163416.09166
x0=9.46544, x1=-9.03379, y=0.00000
x0=4.65682, x1=8.16885, y=774255.38156
x0=8.73526, x1=6.01067, y=1227616.20350
x0=6.56786, x1=0.90784, y=14.90920
x0=3.87806, x1=6.75106, y=25417.79864
x0=9.66084, x1=-8.00300, y=0.00000
x0=6.69518, x1=-8.15610, y=0.00000
x0=9.51313, x1=-5.15627, y=0.00002
x0=5.16707, x1=0.57383, y=6.92857
x0=9.29521, x1=4.96087, y=171700.36886
x0=9.98765, x1=8.97342, y=2511692285.08089
x0=8.68963, x1=-0.10426, y=2.15507
x0=5.79365, x1=-1.29050, y=0.27975
x0=2.46265, x1=1.81207, y=13.82327
x0=1.78793, x1=-0.13345, y=2.49854
x0=7.69716, x1=8.03777, y=35932068.52710
x0=8.91929, x1=-8.13989, y=0.00000
x0=6.06947, x1=5.59511, y=65040.40051
x0=7.63346, x1=7.09816, y=4978017.49512
x0=9.50162, x1=-8.01189, y=0.00000
x0=9.66211, x1=0.99543, y=25.81879
x0=8.99377, x1=-6.06824, y=0.00000
x0=6.81476, x1=-4.33203, y=0.00066
x0=6.72806, x1=2.67910, y=446.03236
x0=2.22109, x1=-2.06960, y=0.51774
x0=8.62458, x1=1.60578, y=85.89228
x0=7.27561, x1=4.20898, y=11453.87420
x0=0.92485, x1=7.25543, y=1.53182
x0=3.70995, x1=3.53879, y=279.40849
x0=7.41075, x1=3.47290, y=2833.38425
x0=3.10309, x1=7.08310, y=8218.54502
x0=1.35310, x1=2.50317, y=5.75574
x0=9.47538, x1=-7.08011, y=0.00000
x0=2.54828, x1=8.34765, y=6646.24437
x0=4.90452, x1=2.33212, y=110.13265
x0=0.06483, x1=7.22354, y=0.00000

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=0.64108, x1=4.14292, y=0.42797
x0=2.03573, x1=-9.79746, y=0.00255
x0=1.75370, x1=8.01860, y=244.08845
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=6.07284, y=266.91484
x0=8.82768, y=774.67762
x0=3.45683, y=56.71442
x0=-7.50663, y=-374.15117
x0=-0.48759, y=-0.36577
x0=7.74480, y=532.27398
x0=-9.75780, y=-843.62985
x0=3.62535, y=64.41715
x0=-8.50526, y=-551.43226
x0=-5.35071, y=-129.91180
x0=8.52950, y=701.82379
x0=6.75357, y=360.40014
x0=5.27206, y=179.60115
x0=2.34166, y=20.66525
x0=2.32891, y=20.38432
x0=4.82271, y=140.25003
x0=7.47481, y=480.98526
x0=2.23898, y=18.47610
x0=4.41297, y=109.82647
x0=-2.26552, y=-8.76091
x0=-8.29651, y=-510.52972
x0=-9.47131, y=-769.39692
x0=-0.79945, y=-0.67128
x0=8.75347, y=756.09510
x0=-0.10910, y=-0.09850
x0=5.83532, y=238.58398
x0=-5.90520, y=-176.95653
x0=7.38665, y=464.98470
x0=-6.67629, y=-259.68492
x0=-9.63082, y=-810.16179
x0=8.95142, y=806.33676
x0=-7.26068, y=-337.30773
x0=6.33930, y=301.28202
x0=-9.25967, y=-717.45707
x0=3.11386, y=43.00237
x0=3.38983, y=53.83319
x0=9.82374, y=1054.37867
x0=-9.41150, y=-754.47207
x0=-1.07844, y=-1.16966
x0=9.25528, y=887.72404
x0=-9.78099, y=-849.83997
x0=6.13001, y=274.05501
x0=1.43727, y=6.47201
x0=9.73840, y=1028.13043
x0=8.13275, y=612.18683
x0=-9.36074, y=-741.95746
x0=-5.59372, y=-149.33011
x0=-7.72395, y=-408.87072
x0=-7.47016, y=-368.52582
x0=-6.41574, y=-229.33745
x0=-8.02101, y=-459.72955
x0=-7.05632, y=-308.61054
x0=-4.18559, y=-59.99463
x0=3.03425, y=40.17639
x0=-6.38257, y=-225.65304
x0=7.78591, y=540.39173
x0=-1.60766, y=-3.17821
x0=-8.93989, y=-643.50976
x0=4.92347, y=148.51163
x0=3.80629, y=73.43896
x0=9.35300, y=915.01897
x0=2.37464, y=21.40390
x0=9.50741, y=959.28130
x0=5.03164, y=157.73733
x0=3.72054, y=69.06432
x0=5.15599, y=168.80841
x0=-6.52519, y=-241.77750
x0=-8.33527, y=-517.96525
x0=9.89728, y=1077.35301
x0=-3.24770, y=-26.95542
x0=-0.11051, y=-0.09965
x0=-8.63278, y=-577.46493
x0=-8.84898, y=-623.45793
x0=4.31290, y=103.13845
x0=8.60622, y=720.11043
x0=-0.42892, y=-0.32386
x0=-8.59817, y=-570.32046
x0=3.17765, y=45.36112
x0=-9.89653, y=-881.23463
x0=-9.36276, y=-742.45182
x0=-9.67245, y=-821.03547
x0=-4.64361, y=-83.21138
x0=-6.93389, y=-292.22833
x0=5.40756, y=192.77587
x0=1.52071, y=7.34995
x0=-8.04278, y=-463.61379
x0=7.23151, y=437.69556
x0=0.48551, y=0.83568
x0=-8.64368, y=-579.72756
x0=-7.47405, y=-369.12367
x0=7.29479, y=448.69411
x0=-2.69245, y=-14.96154
x0=-0.06013, y=-0.05673
x0=9.99146, y=1107.26022
x0=-7.06531, y=-309.83779
x0=-0.11196, y=-0.10083
x0=-5.73819, y=-161.75196
x0=9.45600, y=944.39000
x0=3.01014, y=39.34591
x0=-1.26220, y=-1.67994
x0=7.19546, y=431.51300
x0=-1.80575, y=-4.43305
x0=1.53183, y=7.47276
x0=-7.48420, y=-370.68475
x0=5.17625, y=170.66024
x0=-7.94165, y=-445.74991
x0=9.85026, y=1062.62433
x0=-6.18827, y=-204.87185
x0=8.09796, y=604.71388
x0=-2.68325, y=-14.80239
x0=0.40922, y=0.64522
x0=-5.89649, y=-176.14048
x0=-4.41026, y=-70.74095
x0=1.61312, y=8.41281
x0=-4.65458, y=-83.83134
x0=0.55144, y=1.02320
x0=-6.05159, y=-191.04953
x0=3.02627, y=39.90001
x0=-7.01725, y=-303.31737
x0=6.42513, y=312.95218
x0=-5.89792, y=-176.27464
x0=-3.70870, y=-40.96524
x0=0.95174, y=2.71966
x0=-9.49121, y=-774.40424
x0=3.06651, y=41.30587
x0=4.81053, y=139.27326
x0=-8.11430, y=-476.53357
x0=7.39999, y=467.38306
x0=-7.85301, y=-430.47603
x0=3.51873, y=59.46727
x0=-7.63763, y=-394.83242
x0=-2.55260, y=-12.66900
x0=4.32115, y=103.67915

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=3.85347, y=75.92352
x0=1.35374, y=5.66722
x0=4.25846, y=99.61818
x0=8.61469, y=722.14935
x0=-7.61507, y=-391.21767
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=9.09604, y=45.91696
x0=6.31236, y=23.07910
x0=6.18953, y=22.24988
x0=0.20484, y=0.12340
x0=2.25709, y=3.67576
x0=5.93048, y=20.55055
x0=-5.86993, y=14.29306
x0=-9.65863, y=41.81524
x0=1.06626, y=1.10159
x0=-3.03618, y=3.09111
x0=-0.28478, y=-0.10184
x0=5.17433, y=15.97399
x0=1.44331, y=1.76323
x0=8.97112, y=44.72608
x0=1.53158, y=1.93866
x0=3.56484, y=8.13648
x0=5.94544, y=20.64683
x0=-8.99001, y=35.91517
x0=-3.63021, y=4.77411
x0=-1.92528, y=0.89071
x0=1.38365, y=1.64907
x0=8.97404, y=44.75369
x0=-6.45677, y=17.61654
x0=-9.47124, y=40.11654
x0=-6.69386, y=19.05694
x0=-4.83856, y=9.28657
x0=-9.30479, y=38.63720
x0=-8.28569, y=30.18350
x0=-5.39752, y=11.86786
x0=-5.92735, y=14.60305
x0=3.60619, y=8.30539
x0=6.79911, y=26.51353
x0=-2.07292, y=1.11204
x0=1.83735, y=2.60659
x0=2.87425, y=5.56777
x0=9.97930, y=54.78290
x0=-8.34735, y=30.66542
x0=2.57089, y=4.59018
x0=-6.78554, y=19.62900
x0=9.68448, y=51.73680
x0=2.63709, y=4.79567
x0=3.29689, y=7.08318
x0=3.55986, y=8.11625
x0=9.16461, y=46.57738
x0=-9.01431, y=36.12170
x0=7.33898, y=30.59983
x0=0.23850, y=0.14769
x0=-8.78735, y=34.21511
x0=3.78739, y=9.06586
x0=-1.82369, y=0.75108
x0=2.76136, y=5.19322
x0=-2.38719, y=1.65574
x0=-2.40907, y=1.69727
x0=-6.33490, y=16.89800
x0=-3.44796, y=4.22023
x0=-9.38695, y=39.36398
x0=3.53311, y=8.00798
x0=1.60870, y=2.09830
x0=8.88369, y=43.90183
x0=6.54012, y=24.65666
x0=1.93493, y=2.83944
x0=-0.53747, y=-0.12430
x0=-0.60793, y=-0.11918
x0=6.62392, y=25.25009
x0=-4.57065, y=8.16009
x0=7.07673, y=28.57845
x0=7.73271, y=33.76374
x0=-5.06063, y=10.27469
x0=-7.35165, y=23.34752
x0=-4.22514, y=6.81332
x0=-0.86514, y=-0.05833
x0=-7.48996, y=24.30477

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=4.92706, y=14.60147
x0=6.26607, y=22.76485
x0=9.07363, y=45.70224
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-8.34803, y=4336.20816
x0=-3.19162, y=78.24684
x0=-8.79848, y=5380.31128
x0=-8.65223, y=5022.66522
x0=1.51470, y=12.54806
x0=7.94476, y=4556.57559
x0=7.62123, y=3882.01577
x0=-2.55937, y=30.13333
x0=4.25892, y=428.65046
x0=9.48857, y=9059.75780
x0=6.99126, y=2786.60947
x0=1.84425, y=23.08687
x0=-4.31672, y=281.10736
x0=-6.93565, y=2021.46193
x0=-6.37556, y=1427.36325
x0=0.13053, y=0.15008
x0=-3.22313, y=81.60437
x0=-0.25903, y=-0.20481
x0=8.14047, y=5005.21475
x0=-2.94607, y=55.49381
x0=4.04343, y=353.79949
x0=3.46830, y=201.91770
x0=1.05736, y=4.60748
x0=6.18384, y=1743.18189
x0=-5.33045, y=678.96386
x0=-5.64552, y=862.10911
x0=-3.09917, y=68.99157
x0=2.12013, y=36.34956
x0=3.40533, y=188.96427
x0=4.33038, y=455.93205
x0=9.89306, y=10655.08351
x0=-5.23862, y=631.56472
x0=2.34876, y=51.25619
x0=-9.46779, y=7266.63742
x0=9.63250, y=9605.24582
x0=3.91610, y=314.49680
x0=8.24578, y=5259.92284
x0=-3.31322, y=91.79759
x0=-1.46552, y=2.14751
x0=-7.63999, y=3011.77307
x0=4.98048, y=768.62449
x0=-2.53812, y=29.05307
x0=1.58437, y=14.37284
x0=-5.05873, y=545.96261
x0=9.42191, y=8815.13743
x0=5.05651, y=813.64857
x0=7.17743, y=3082.28862
x0=0.99222, y=3.92278
x0=-5.45984, y=750.21980
x0=-7.22551, y=2393.43040
x0=-8.38359, y=4412.58695
x0=3.67518, y=249.25979
x0=-5.39655, y=714.69611
x0=1.08778, y=4.95834
x0=-3.63816, y=136.64004
x0=-6.09076, y=1181.26744
x0=5.99792, y=1551.95613
x0=7.12029, y=2989.14453
x0=-0.89244, y=-0.17244
x0=-7.22785, y=2396.61994
x0=-4.57590, y=358.98312
x0=-9.06747, y=6087.59768
x0=-5.01270, y=525.53447

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=7.50603, y=3660.99201
x0=3.08081, y=131.90027
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-8.86622, x1=-2.63094, y=34.98972
x0=-5.99512, x1=5.68375, y=-51.11214
x0=9.02674, x1=-1.03896, y=-14.06768
x0=-3.31499, x1=-5.88612, y=29.26863
x0=-9.44602, x1=8.71040, y=-123.41792
x0=-3.63380, x1=4.54823, y=-24.79106
x0=9.40434, x1=1.35261, y=19.08063
x0=-4.64916, x1=-3.27231, y=22.82021
x0=-4.16572, x1=7.19454, y=-44.95567
x0=-1.77968, x1=1.41087, y=-3.76634
x0=0.48944, x1=-4.17554, y=-3.06554
x0=0.85043, x1=-0.68017, y=-0.86765
x0=5.15957, x1=-3.80051, y=-29.41353
x0=-0.41351, x1=-5.51059, y=3.41803
x0=-2.77406, x1=-8.62898, y=35.90594
x0=8.51569, x1=-6.71653, y=-85.79378
x0=7.34041, x1=6.99746, y=77.04628
x0=-6.38215, x1=-0.74230, y=7.10621
x0=-4.28667, x1=4.52433, y=-29.09144
x0=3.56590, x1=1.08244, y=5.78981
x0=2.81080, x1=0.66708, y=2.81255
x0=4.00949, x1=3.19309, y=19.20399
x0=-7.28793, x1=5.11903, y=-55.96076
x0=-9.51414, x1=9.08251, y=-129.61835
x0=3.56847, x1=-3.80307, y=-20.35670
x0=-2.89648, x1=-8.94557, y=38.86598
x0=2.72559, x1=2.64154, y=10.79961
x0=1.32204, x1=8.02456, y=15.91317
x0=-1.88909, x1=-8.09966, y=22.95150
x0=7.96470, x1=4.82640, y=57.66123
x0=3.76312, x1=0.73035, y=4.12257
x0=5.64248, x1=9.89914, y=83.78345
x0=-9.83591, x1=-8.21528, y=121.20712
x0=2.46090, x1=-8.45689, y=-31.21733
x0=-8.25964, x1=-3.92852, y=48.67229
x0=-7.05026, x1=8.46326, y=-89.50227
x0=4.72851, x1=-3.83750, y=-27.21847
x0=-5.64345, x1=0.73292, y=-6.20426
x0=-9.91617, x1=-6.17311, y=91.82040
x0=-6.51914, x1=8.76884, y=-85.74799
x0=-1.79918, x1=-6.63942, y=17.91828
x0=-4.90206, x1=-2.67819, y=19.69295
x0=2.53430, x1=-5.25320, y=-19.96979
x0=-3.81083, x1=-3.13501, y=17.92050
x0=0.76139, x1=-2.29252, y=-2.61824
x0=1.90223, x1=2.58770, y=7.38357
x0=3.92823, x1=2.84101, y=16.74022
x0=-4.64174, x1=3.94059, y=-27.43678
x0=-0.42536, x1=-9.39274, y=5.99288
x0=3.63330, x1=5.93429, y=32.34154
x0=-7.85329, x1=3.50360, y=-41.27217
x0=9.97715, x1=-6.32889, y=-94.71644
x0=3.33446, x1=-8.56388, y=-42.83394
x0=-3.34233, x1=-2.85869, y=14.33202
x0=-4.81604, x1=-6.38173, y=46.10203
x0=-5.04862, x1=-1.94688, y=14.74355
x0=-6.08925, x1=-6.83915, y=62.46789
x0=-3.44812, x1=-0.80952, y=4.18700
x0=-3.31189, x1=1.29436, y=-6.43017
x0=8.32096, x1=-1.44379, y=-18.02058
x0=-9.54125, x1=-7.11196, y=101.78547
x0=-0.24411, x1=9.57066, y=-3.50437
x0=2.16255, x1=-5.95523, y=-19.31768
x0=3.39388, x1=-0.12352, y=-0.62883
x0=-5.15966, x1=6.80751, y=-52.68666
x0=9.73821, x1=7.67859, y=112.16358
x0=0.96529, x1=3.85653, y=5.58398
x0=-9.96617, x1=-4.66345, y=69.71514
x0=-9.37610, x1=-3.31928, y=46.68290
x0=-7.38870, x1=2.73330, y=-30.29330
x0=8.72662, x1=4.67724, y=61.22473
x0=7.59308, x1=5.25615, y=59.86551
x0=0.16345, x1=-1.11799, y=-0.27410
x0=-2.33847, x1=8.36700, y=-29.34896
x0=4.44179, x1=1.21973, y=8.12669
x0=-2.41350, x1=-7.10975, y=25.73914
x0=9.30731, x1=-7.90704, y=-110.38991
x0=5.06320, x1=6.52775, y=49.57701
x0=-8.73975, x1=-2.93204, y=38.43797
x0=-7.81198, x1=-1.49096, y=17.47104
x0=9.29848, x1=-9.68680, y=-135.10864
x0=1.07937, x1=-6.09205, y=-9.86338
x0=4.48281, x1=3.80024, y=25.55363
x0=-7.37371, x1=-3.88803, y=43.00379
x0=6.68469, x1=-5.51768, y=-55.32599
x0=-8.41647, x1=1.95527, y=-24.68476
x0=-5.14058, x1=6.71673, y=-51.79185
x0=-7.35298, x1=-8.39517, y=92.59435
x0=-0.85947, x1=-8.01868, y=10.33776
x0=6.99231, x1=9.64117, y=101.12106
x0=9.70508, x1=-5.98336, y=-87.10339
x0=2.01511, x1=9.72053, y=29.38187
x0=7.88076, x1=-3.21829, y=-38.04382
x0=1.84332, x1=0.68907, y=1.90526
x0=-0.12332, x1=4.68005, y=-0.86573
x0=6.08547, x1=7.16876, y=65.43793
x0=7.27386, x1=-4.73858, y=-51.70169
x0=7.00981, x1=-8.83591, y=-92.90701
x0=-3.02309, x1=-6.95190, y=31.52436
x0=7.03443, x1=-9.24602, y=-97.56072
x0=2.87299, x1=1.50927, y=6.50417
x0=4.35771, x1=1.72919, y=11.30294
x0=-1.10807, x1=4.63621, y=-7.70584
x0=-3.81862, x1=-8.60279, y=49.27614
x0=8.06843, x1=-2.06237, y=-24.96014
x0=-4.85653, x1=8.77319, y=-63.91088
x0=4.45615, x1=1.06732, y=7.13420
x0=-6.37285, x1=-9.82680, y=93.93713
x0=4.30087, x1=3.24436, y=20.93035
x0=8.87180, x1=9.07542, y=120.77296
x0=2.75523, x1=-2.70180, y=-11.16612
x0=2.82114, x1=2.74813, y=11.62930
x0=-8.43464, x1=-3.27154, y=41.39142
x0=1.75813, x1=-1.75483, y=-4.62783
x0=-5.60395, x1=-7.33902, y=61.69130
x0=-2.90501, x1=-0.61851, y=2.69517
x0=-3.96624, x1=7.87017, y=-46.82246
x0=-3.94583, x1=-5.26593, y=31.16770
x0=5.11304, x1=7.06895, y=54.21579
x0=7.05282, x1=-6.07352, y=-64.25316
x0=-4.52975, x1=8.78467, y=-59.68855

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=4.70874, x1=1.29322, y=9.13419
x0=8.90609, x1=-4.77640, y=-63.80859
x0=-7.33685, x1=7.34352, y=-80.81743
x0=0.44692, x1=1.83429, y=1.22969
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-3.02004, y=-1.04726
x0=2.46372, y=-0.58515
x0=4.70637, y=-0.74905
x0=1.35430, y=-0.54260
x0=3.77790, y=-1.54694
x0=-9.58682, y=-0.04134
x0=-9.32095, y=0.12932
x0=-6.39380, y=-0.78970
x0=7.06374, y=-1.00632
x0=1.68810, y=-0.78368
x0=9.51042, y=-1.35933
x0=-1.11005, y=-0.33063
x0=7.45299, y=-1.07878
x0=6.31114, y=0.09663
x0=1.55580, y=-0.74010
x0=-1.05367, y=-0.30713
x0=0.81855, y=-0.32568
x0=7.74433, y=-0.78070
x0=-4.90399, y=-0.91828
x0=-6.01419, y=-1.71318
x0=1.60850, y=-0.76984
x0=8.44940, y=-1.17659
x0=-7.77462, y=-0.80430
x0=8.72103, y=-1.21634
x0=7.07810, y=-0.86569
x0=4.48781, y=-0.96403
x0=-2.78919, y=-1.68595
x0=6.32564, y=-0.01481
x0=-8.65580, y=-0.42116
x0=-4.11776, y=-0.21873
x0=-3.33361, y=0.22486
x0=6.83072, y=-0.36703
x0=6.25935, y=0.24563
x0=2.00535, y=-0.42556
x0=3.39978, y=0.06767
x0=-1.84331, y=-0.68180
x0=7.29747, y=-0.66900
x0=-1.54297, y=-0.73082
x0=-6.35554, y=-0.31816
x0=6.11871, y=-1.00413
x0=0.55199, y=-0.49456
x0=-9.85697, y=-0.95659
x0=2.40668, y=-0.40013
x0=-7.69765, y=-0.68418
x0=8.58322, y=-0.09177
x0=-1.32152, y=-0.50709
x0=3.07930, y=-0.69285
x0=3.73161, y=-1.56228
x0=-3.60713, y=-1.13468
x0=-2.23915, y=-0.15824
x0=4.05820, y=-0.33034
x0=7.50979, y=-0.80101
x0=6.55314, y=-1.58049
x0=-9.57778, y=-0.16961
x0=1.70549, y=-0.78099
x0=2.35127, y=-0.26797
x0=2.58530, y=-1.08118
x0=-2.73196, y=-1.59825
x0=-4.63385, y=-0.78888
x0=6.57388, y=-1.41448
x0=5.57374, y=-1.00968
x0=-3.31894, y=0.23412
x0=-2.14266, y=-0.21278
x0=-9.33306, y=0.00377
x0=-6.56274, y=-1.51047
x0=-1.36512, y=-0.55446
x0=3.16760, y=-0.17822
x0=2.20300, y=-0.16493
x0=3.56572, y=-0.88440
x0=-4.87313, y=-0.90731
x0=-2.15077, y=-0.20405
x0=2.58181, y=-1.06633
x0=0.50493, y=-0.52927
x0=1.09387, y=-0.32272
x0=5.40886, y=-1.28331
x0=-7.30579, y=-0.73307
x0=6.81407, y=-0.19947
x0=-9.11358, y=-1.68394
x0=-2.53005, y=-0.84636
x0=3.51877, y=-0.57932
x0=5.82937, y=-0.26048
x0=7.54238, y=-0.64809
x0=-0.12290, y=-0.73501
x0=-1.58113, y=-0.75619
x0=3.45307, y=-0.17949
x0=2.94510, y=-1.41935
x0=-4.88235, y=-0.91277
x0=-5.85662, y=-0.51813
x0=5.81007, y=-0.11110
x0=-0.28015, y=-0.67465
x0=-5.55377, y=-1.15334
x0=-1.67518, y=-0.78429
x0=-9.31741, y=0.15771
x0=7.92758, y=-0.75108
x0=-0.85648, y=-0.31140
x0=0.87283, y=-0.30641
x0=-8.93600, y=0.10356
x0=-6.35013, y=-0.25723
x0=8.96104, y=0.12836
x0=-0.23678, y=-0.69553
x0=9.69977, y=-0.59458
x0=4.93037, y=-0.90873
x0=9.60517, y=0.14920
x0=-2.90151, y=-1.57049
x0=6.86338, y=-0.73497
x0=9.19762, y=-0.96903
x0=3.47842, y=-0.32514
x0=7.76649, y=-0.80135
x0=-2.63710, y=-1.29437
x0=-0.52532, y=-0.51426
x0=-3.88489, y=-1.17513
x0=5.52697, y=-1.30532
x0=-8.14529, y=-0.64551
x0=-7.01969, y=-1.36914
x0=-8.96093, y=0.12865
x0=5.36870, y=-1.06819
x0=-8.52649, y=-0.48220
x0=0.64968, y=-0.42380
x0=3.82056, y=-1.44750
x0=7.88667, y=-0.73069
x0=4.56557, y=-0.88333
x0=5.32773, y=-0.81359
x0=1.88807, y=-0.62187
x0=7.00841, y=-1.43233
x0=0.96191, y=-0.29313
x0=-4.14714, y=-0.21609
x0=9.28561, y=0.22586
x0=-2.75216, y=-1.63920
x0=6.76439, y=0.11808
x0=4.61757, y=-0.80874
x0=-4.78590, y=-0.80815
x0=-5.83671, y=-0.32520
x0=-1.59111, y=-0.76164
x0=-4.03503, y=-0.40995
x0=-6.87583, y=-0.87649
x0=-1.78448, y=-0.74093
x0=-4.14127, y=-0.21389
x0=3.13631, y=-0.34986

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-7.22542, y=-0.20191
x0=9.25366, y=-0.03814
x0=-5.84077, y=-0.36268
x0=7.19799, y=-0.14025
x0=6.95613, y=-1.49544
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-4.61432, x1=-4.28385, y=-42.33941
x0=7.08908, x1=3.61640, y=46.35671
x0=6.00533, x1=0.06551, y=0.01288
x0=-8.66399, x1=4.15094, y=-74.64162
x0=7.10007, x1=2.76273, y=27.09625
x0=-3.27606, x1=7.99504, y=-104.70390
x0=3.16729, x1=-2.71032, y=11.63317
x0=6.63844, x1=-9.43972, y=295.76966
x0=-4.25390, x1=4.70704, y=-47.12508
x0=-1.82611, x1=6.91954, y=-43.71709
x0=-8.46946, x1=-5.08510, y=-109.50249
x0=6.59994, x1=0.75193, y=1.86579
x0=-8.68429, x1=8.81313, y=-337.25983
x0=8.86299, x1=3.60145, y=57.47857
x0=-9.13293, x1=-3.89495, y=-69.27610
x0=-1.79967, x1=0.79307, y=-0.56596
x0=-8.05804, x1=4.88075, y=-95.97841
x0=-5.87598, x1=-5.64445, y=-93.60381
x0=-0.56604, x1=-7.67125, y=-16.65514
x0=-1.29105, x1=6.45553, y=-26.90149
x0=8.30217, x1=9.33293, y=361.57469
x0=-1.43868, x1=6.64205, y=-31.73495
x0=-5.16535, x1=4.22043, y=-46.00268
x0=7.58277, x1=-2.03534, y=15.70631
x0=5.83943, x1=-0.19861, y=0.11517
x0=-8.17994, x1=4.31978, y=-76.32095
x0=-2.70679, x1=6.39948, y=-55.42608
x0=-1.17209, x1=3.41675, y=-6.84161
x0=7.92064, x1=4.55891, y=82.31001
x0=-4.28314, x1=2.71139, y=-15.74400
x0=-2.55686, x1=-7.03661, y=-63.29996
x0=4.54727, x1=-3.16069, y=22.71351
x0=-8.09807, x1=4.83659, y=-94.71729
x0=5.79702, x1=1.86159, y=10.04483
x0=-3.52393, x1=-0.75733, y=-1.01056
x0=1.19922, x1=-1.83452, y=2.01797
x0=4.02814, x1=-5.14977, y=53.41350
x0=2.71564, x1=-6.29182, y=53.75209
x0=-7.93965, x1=9.59353, y=-365.36580
x0=6.43621, x1=8.88895, y=254.27359
x0=9.37646, x1=3.56574, y=59.60865
x0=-9.95605, x1=8.01104, y=-319.47374
x0=2.43876, x1=6.79295, y=56.26719
x0=4.02798, x1=9.34458, y=175.86398
x0=1.38983, x1=9.80711, y=66.83661
x0=1.77572, x1=-0.69742, y=0.43185
x0=4.75320, x1=-6.88416, y=112.63082
x0=8.94828, x1=9.97187, y=444.90034
x0=5.16833, x1=7.65007, y=151.23458
x0=0.72787, x1=3.00012, y=3.27567
x0=6.73090, x1=-1.40995, y=6.69038
x0=-2.35459, x1=-3.09067, y=-11.24584
x0=-4.58995, x1=7.38592, y=-125.19520
x0=3.75986, x1=-1.81540, y=6.19563
x0=0.43843, x1=9.24084, y=18.71953
x0=-2.52159, x1=1.53697, y=-2.97835
x0=0.78860, x1=0.49296, y=0.09582
x0=-0.56061, x1=3.17265, y=-2.82148
x0=1.97286, x1=-5.89301, y=34.25632
x0=-8.40533, x1=-3.16305, y=-42.04721
x0=1.54147, x1=-6.45444, y=32.10870
x0=6.29925, x1=-3.83823, y=46.40039
x0=8.82564, x1=2.10019, y=19.46404
x0=7.06771, x1=9.68531, y=331.49396
x0=7.93301, x1=-2.55322, y=25.85728
x0=-7.37822, x1=-9.06825, y=-303.36749
x0=1.27162, x1=7.75328, y=38.22063
x0=-0.21851, x1=-7.49283, y=-6.13376
x0=-3.53229, x1=8.18536, y=-118.33194
x0=0.73765, x1=5.77395, y=12.29608
x0=-9.50094, x1=1.76503, y=-14.79937
x0=-9.45055, x1=0.34489, y=-0.56207
x0=2.60470, x1=-4.52401, y=26.65477
x0=6.20442, x1=0.02348, y=0.00171
x0=0.82841, x1=-5.33387, y=11.78428
x0=1.35009, x1=3.09582, y=6.46972
x0=-4.13485, x1=-1.24632, y=-3.21138
x0=-0.95636, x1=5.41265, y=-14.00915
x0=-5.61804, x1=-5.54082, y=-86.23896
x0=-0.30652, x1=4.26901, y=-2.79306
x0=4.59542, x1=7.66797, y=135.10007
x0=3.09270, x1=9.36638, y=135.66011
x0=9.17954, x1=7.95557, y=290.49175
x0=9.87538, x1=-9.81311, y=475.48482
x0=-6.60502, x1=-6.73591, y=-149.84327
x0=-1.62916, x1=0.63184, y=-0.32520
x0=8.97395, x1=4.45500, y=89.05327
x0=6.05195, x1=-9.02372, y=246.39762
x0=1.03132, x1=3.36876, y=5.85198
x0=7.29078, x1=9.20369, y=308.79343
x0=-0.20283, x1=-4.17544, y=-1.76813
x0=-1.49629, x1=-3.04221, y=-6.92414
x0=3.52547, x1=-3.35717, y=19.86711
x0=-4.23888, x1=-5.17215, y=-56.69736
x0=-8.84181, x1=6.06916, y=-162.84276
x0=4.61956, x1=-3.84212, y=34.09668
x0=5.36022, x1=-1.67849, y=7.55079
x0=-1.19521, x1=-8.72004, y=-45.44145
x0=-2.19801, x1=0.23917, y=-0.06287
x0=8.09917, x1=5.38181, y=117.29182
x0=-6.61124, x1=0.79037, y=-2.06495
x0=9.42401, x1=0.09750, y=0.04479
x0=8.07166, x1=4.49514, y=81.54925
x0=-5.51985, x1=-6.05401, y=-101.15408

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-5.11499, x1=-1.25396, y=-4.02145
x0=-4.31974, x1=-3.97382, y=-34.10697
x0=9.55766, x1=-0.87443, y=3.65406
x0=0.39825, x1=-9.89009, y=19.47741
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-6.23700, y=16.33161
x0=-7.75028, y=26.15827
x0=6.76200, y=26.24335
x0=1.58587, y=2.05043
x0=-1.89829, y=0.85261
x0=7.23870, y=29.81874
x0=-0.71364, y=-0.10218
x0=-7.37947, y=23.53853
x0=-8.53195, y=32.13110
x0=5.01866, y=15.10280
x0=-1.45523, y=0.33123
x0=-3.27222, y=3.71761
x0=-0.21393, y=-0.08408
x0=0.49353, y=0.36855
x0=-6.47888, y=17.74850
x0=-9.01165, y=36.09908
x0=-5.06063, y=10.27469
x0=2.64700, y=4.82679
x0=-7.06882, y=21.44967
x0=-1.23701, y=0.14660
x0=4.23043, y=11.06348
x0=-4.38420, y=7.41852
x0=7.95613, y=35.62805
x0=-2.26859, y=1.43896
x0=6.62392, y=25.25009
x0=5.27314, y=16.53957
x0=8.01783, y=36.15170
x0=5.43921, y=17.51213
x0=3.12348, y=6.43979
x0=-1.59095, y=0.47009
x0=3.93606, y=9.71430
x0=7.85014, y=34.73745
x0=-9.44625, y=39.89272
x0=5.57455, y=18.32510
x0=1.58753, y=2.05389
x0=-7.88753, y=27.16281
x0=-0.29032, y=-0.10302
x0=-4.83319, y=9.26329
x0=0.19639, y=0.11748
x0=1.13158, y=1.20603
x0=6.55749, y=24.77909
x0=-7.59826, y=25.06764
x0=9.72223, y=52.12198
x0=4.41123, y=11.93508
x0=6.54012, y=24.65666
x0=4.34281, y=11.60139
x0=-1.28411, y=0.18242
x0=-1.92948, y=0.89670
x0=-5.95838, y=14.77197
x0=7.02212, y=28.16614
x0=-0.91441, y=-0.03913
x0=3.23643, y=6.85544
x0=7.85538, y=34.78118
x0=6.53193, y=24.59904
x0=-0.02086, y=-0.01021
x0=-9.64585, y=41.69832
x0=2.80233, y=5.32768
x0=1.18546, y=1.29539
x0=7.12224, y=28.92424
x0=9.60729, y=50.95367
x0=-0.74234, y=-0.09564
x0=1.64173, y=2.16850
x0=-7.19101, y=22.25981
x0=-9.97016, y=44.71698
x0=0.78500, y=0.70061
x0=6.04057, y=21.26456
x0=1.28212, y=1.46297
x0=-7.72489, y=25.97450
x0=8.62723, y=41.52816
x0=-8.33236, y=30.54792
x0=-9.85688, y=43.65064
x0=-8.28569, y=30.18350
x0=2.06602, y=3.16723
x0=4.72037, y=13.50114
x0=-7.93564, y=27.51939
x0=-2.58966, y=2.05834
x0=-0.30065, y=-0.10513
x0=7.05593, y=28.42105
x0=-7.79452, y=26.48001
x0=-3.50901, y=4.40206
x0=0.62198, y=0.50442
x0=5.49083, y=17.82000
x0=1.07532, y=1.11581
x0=-2.27682, y=1.45354
x0=0.99938, y=0.99907
x0=-7.56579, y=24.83768
x0=1.09453, y=1.14626
x0=7.61439, y=32.79665
x0=-8.75309, y=33.93171
x0=-0.15315, y=-0.06485
x0=2.98971, y=5.96402
x0=-9.30479, y=38.63720
x0=-0.63542, y=-0.11583
x0=7.82020, y=34.48784
x0=-0.71280, y=-0.10236
x0=-1.97452, y=0.96210
x0=-3.24720, y=3.64856

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-7.99083, y=27.93127
x0=5.87758, y=20.21178
x0=5.44297, y=17.53444
x0=5.94082, y=20.61709
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=4.61150, y=20.31086
x0=-1.13312, y=0.72180
x0=-8.40902, y=69.72551
x0=1.02424, y=0.53710
x0=-0.20786, y=0.00179
x0=-0.01940, y=0.00000
x0=-7.10693, y=49.52791
x0=8.39443, y=69.48036
x0=0.40693, y=0.02352
x0=-0.43639, y=0.03047
x0=0.39593, y=0.02124
x0=8.37055, y=69.08024
x0=4.98553, y=23.89423
x0=-9.34761, y=86.38912
x0=-2.94225, y=7.76037
x0=4.71990, y=21.32045
x0=-4.51660, y=19.44638
x0=-1.08714, y=0.64020
x0=8.96010, y=79.29575
x0=-4.44877, y=18.83962
x0=-4.81736, y=22.24825
x0=2.42654, y=5.03328
x0=4.91444, y=23.19145
x0=9.25311, y=84.63154
x0=5.70069, y=31.52772
x0=-5.56656, y=30.01786
x0=-2.20086, y=4.01491
x0=-8.12054, y=64.95816
x0=-4.55785, y=19.81996
x0=-5.01871, y=24.22560
x0=-1.89755, y=2.81805
x0=6.51250, y=41.43574
x0=5.85743, y=33.33782
x0=-0.56598, y=0.07772
x0=-8.71940, y=75.04098
x0=3.66678, y=12.51453
x0=-7.28758, y=52.12730
x0=7.71364, y=58.51678
x0=-9.43122, y=87.95899
x0=7.93993, y=62.05805
x0=4.91836, y=23.22993
x0=9.71491, y=93.38998
x0=7.10499, y=49.50025
x0=-0.67786, y=0.14466
x0=7.49342, y=55.16888
x0=9.45480, y=88.40422
x0=-1.98887, y=3.15739
x0=-0.97517, y=0.46353
x0=6.40935, y=40.10356
x0=-7.31013, y=52.45638
x0=-9.05124, y=80.93695
x0=-2.92146, y=7.63981
x0=-3.72434, y=12.93794
x0=1.81797, y=2.53729
x0=0.55680, y=0.07337
x0=8.90855, y=78.37476
x0=-4.63650, y=20.54156
x0=4.06101, y=15.54900
x0=-8.42467, y=69.98898
x0=-1.58506, y=1.79713
x0=-8.36619, y=69.00715
x0=9.30459, y=85.58677
x0=6.86354, y=46.12900
x0=-1.81942, y=2.54228
x0=-9.82813, y=95.60236
x0=3.47959, y=11.18385
x0=2.78691, y=6.88096
x0=2.22243, y=4.10755

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-1.11138, y=0.68256
x0=-8.36857, y=69.04704
x0=3.44614, y=10.95353
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-1.89874, y=-0.68248
x0=-7.56569, y=-403.29657
x0=-5.90188, y=-182.59903
x0=-4.63833, y=-82.01586
x0=-3.23954, y=-22.07990
x0=-1.18634, y=1.51993
x0=0.33317, y=0.80392
x0=-2.82622, y=-12.41624
x0=-3.71595, y=-37.38343
x0=7.84742, y=452.38800
x0=-1.98811, y=-1.30956
x0=2.54312, y=7.77114
x0=-2.16075, y=-2.79346
x0=-8.81547, y=-650.24536
x0=0.02552, y=0.99930
x0=5.62113, y=155.84724
x0=6.24659, y=219.40371
x0=1.78985, y=0.51558
x0=7.90736, y=463.30172
x0=-0.14728, y=0.98808
x0=2.03373, y=2.05528
x0=-4.30979, y=-63.64175
x0=4.35754, y=66.23333
x0=6.61279, y=263.33301
x0=5.45824, y=141.52220
x0=6.26815, y=221.84836
x0=-6.74189, y=-280.03120
x0=4.82099, y=93.60223
x0=-9.32758, y=-774.63671
x0=6.69824, y=274.33859
x0=-1.20902, y=1.51054
x0=2.73264, y=10.88392
x0=4.02181, y=49.96019
x0=-6.97702, y=-312.26656
x0=8.37181, y=553.75411
x0=5.28706, y=127.40611
x0=-6.09637, y=-202.80297
x0=-1.84552, y=-0.35215
x0=-7.79778, y=-443.44401
x0=3.54120, y=31.36219
x0=0.90941, y=-0.34718
x0=-6.90043, y=-301.51582
x0=2.73801, y=10.98061
x0=-1.01974, y=1.50917
x0=2.95849, y=15.37657
x0=6.28437, y=223.69872
x0=2.77472, y=11.65467
x0=4.74036, y=88.40986
x0=-0.25956, y=0.98493
x0=-9.91878, y=-936.54593
x0=-1.42603, y=1.25352
x0=-2.15449, y=-2.73305
x0=1.83220, y=0.73340
x0=-4.08133, y=-52.52636
x0=3.97079, y=47.73170
x0=7.31029, y=361.97854
x0=-9.00585, y=-694.82678
x0=5.83120, y=175.64775
x0=3.43489, y=27.93866
x0=4.08221, y=52.67976
x0=5.67543, y=160.82046
x0=-9.55977, y=-835.82334
x0=3.71127, y=37.34476
x0=-6.14134, y=-207.67094
x0=-2.17351, y=-2.91811
x0=9.73541, y=884.17927
x0=6.37421, y=234.12683
x0=2.64837, y=9.42852
x0=-1.73242, y=0.24825
x0=0.56225, y=0.39735
x0=1.44105, y=-0.57310
x0=9.18387, y=738.30511
x0=-4.22802, y=-59.51138
x0=-7.41541, y=-378.61085
x0=-0.92489, y=1.45343
x0=5.00949, y=106.48162
x0=6.73043, y=278.56152
x0=-8.95125, y=-681.84138
x0=5.17345, y=118.55283
x0=0.05701, y=0.99621
x0=0.82609, y=-0.18219
x0=6.52637, y=252.49719
x0=8.03250, y=486.64079
x0=-6.81206, y=-289.41400
x0=4.76627, y=90.05757
x0=2.12585, y=2.82572
x0=-3.53179, y=-30.90120
x0=-6.54436, y=-254.68303
x0=-1.72753, y=0.27120
x0=9.13282, y=725.66734
x0=5.21581, y=121.80619
x0=-1.33461, y=1.40133
x0=6.76012, y=282.49281
x0=5.06490, y=110.46895
x0=5.31873, y=129.94635
x0=-0.13288, y=0.98953
x0=2.74700, y=11.14361
x0=5.02962, y=107.91925
x0=7.81826, y=447.13833
x0=-9.21539, y=-746.15875
x0=-9.26258, y=-758.05169
x0=2.67961, y=9.95451
x0=-0.83600, y=1.38000
x0=-1.84014, y=-0.32051
x0=-1.81921, y=-0.20037
x0=-5.30390, y=-128.68387
x0=0.26351, y=0.88493
x0=4.80831, y=92.77324
x0=7.35039, y=368.27997
x0=2.81196, y=12.36171
x0=0.31522, y=0.82698
x0=3.86910, y=43.47557
x0=-6.91191, y=-303.11113
x0=4.85458, y=95.82073
x0=-8.84001, y=-655.88413
x0=-0.74869, y=1.29684
x0=7.88023, y=458.34151
x0=-5.15514, y=-117.09117
x0=-3.80279, y=-40.70102
x0=-3.88019, y=-43.80333
x0=3.02658, y=16.90757
x0=4.30290, y=63.38974
x0=-8.61832, y=-606.10191
x0=3.33740, y=25.00532
x0=4.09750, y=53.38239
x0=4.73238, y=87.90603
x0=6.65645, y=268.91949
x0=9.17480, y=736.04990
x0=0.88643, y=-0.30367
x0=5.76493, y=169.23713
x0=6.46063, y=244.45092
x0=3.65620, y=35.33819
x0=0.62196, y=0.26772
x0=-7.45995, y=-385.82164
x0=8.49176, y=578.85147
x0=-4.93296, y=-101.04679
x0=-0.86530, y=1.40590
x0=0.01189, y=0.99985

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-7.71178, y=-428.27849
x0=4.78006, y=90.94258
x0=-2.84528, y=-12.79452
x0=-5.81842, y=-174.34181
x0=-2.32973, y=-4.62020
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=6.16226, x1=4.37818, y=2868.31717
x0=9.32922, x1=-1.96396, y=0.01245
x0=2.36729, x1=-2.67094, y=0.10009
x0=4.27528, x1=1.90902, y=16.01484
x0=9.58359, x1=-3.26776, y=0.00062
x0=8.00037, x1=-6.53078, y=0.00000
x0=0.44497, x1=2.28185, y=0.15760
x0=0.03399, x1=-5.98093, y=608374511.26232
x0=7.90062, x1=-6.96775, y=0.00000
x0=9.02984, x1=-0.56420, y=0.28894
x0=7.88995, x1=-4.46112, y=0.00010
x0=1.66649, x1=-8.20250, y=0.01516
x0=8.73410, x1=6.57487, y=1543076.64295
x0=2.04865, x1=2.51621, y=6.07744
x0=8.61675, x1=-6.20926, y=0.00000
x0=6.21788, x1=-1.62038, y=0.05176
x0=3.77672, x1=-1.45170, y=0.14528
x0=3.07456, x1=-7.95541, y=0.00013
x0=2.82427, x1=-3.90478, y=0.01735
x0=8.17110, x1=-2.98058, y=0.00191
x0=7.39474, x1=7.17373, y=1711675.64398
x0=5.37758, x1=8.96666, y=3555742.96935
x0=1.51922, x1=9.88886, y=62.52125
x0=2.25870, x1=-3.40025, y=0.06263
x0=8.67250, x1=-1.93218, y=0.01539
x0=9.09430, x1=7.20832, y=8149228.05400
x0=9.44887, x1=-4.58658, y=0.00003
x0=0.61601, x1=0.78237, y=0.68451
x0=4.48722, x1=3.67771, y=249.90984
x0=7.80395, x1=-5.75461, y=0.00001
x0=5.93191, x1=-7.15890, y=0.00000
x0=3.23385, x1=1.98015, y=10.21699
x0=4.01378, x1=6.26451, y=6039.06494
x0=3.17545, x1=-2.96032, y=0.03270
x0=3.96310, x1=3.51805, y=127.03294
x0=4.78570, x1=3.85881, y=420.51274
x0=8.31351, x1=-5.36749, y=0.00001
x0=2.58100, x1=-5.08579, y=0.00805
x0=0.45715, x1=-8.68248, y=894.32968
x0=7.96743, x1=-7.81377, y=0.00000
x0=8.04597, x1=8.31356, y=33773985.18126
x0=0.97540, x1=-3.76857, y=1.09841
x0=6.18430, x1=-7.23239, y=0.00000
x0=1.31139, x1=-4.71416, y=0.27861
x0=9.70617, x1=-7.95683, y=0.00000
x0=2.94810, x1=-9.96566, y=0.00002
x0=6.69303, x1=-9.86326, y=0.00000
x0=3.12259, x1=8.61248, y=18155.19190
x0=7.67482, x1=8.98158, y=88984278.71489
x0=7.66344, x1=8.98808, y=88976121.95153
x0=1.84506, x1=-3.49632, y=0.11747
x0=2.69824, x1=-4.94573, y=0.00738
x0=7.66423, x1=-4.25240, y=0.00017
x0=6.13415, x1=2.53360, y=99.05044
x0=5.32106, x1=6.29449, y=37135.43754
x0=9.75684, x1=-7.47427, y=0.00000
x0=2.21127, x1=-2.72175, y=0.11534
x0=9.28406, x1=2.30117, y=168.62845
x0=3.27326, x1=1.14327, y=3.87935
x0=2.38432, x1=-3.05807, y=0.07014
x0=9.61876, x1=-2.69888, y=0.00222
x0=8.82879, x1=9.42278, y=818497825.15721
x0=5.07282, x1=5.28028, y=5295.61354
x0=9.41626, x1=-6.44297, y=0.00000
x0=9.85433, x1=2.11268, y=125.66467
x0=2.89391, x1=-4.72413, y=0.00661
x0=9.96654, x1=4.36508, y=22841.56796
x0=5.07508, x1=4.65155, y=1911.62692
x0=6.12886, x1=1.82715, y=27.45735
x0=9.47843, x1=8.00117, y=65318463.16949
x0=2.49249, x1=3.48892, y=24.20040
x0=4.13196, x1=6.86082, y=16878.57851
x0=6.74378, x1=3.17458, y=427.97484
x0=1.63990, x1=-7.73853, y=0.02176
x0=9.66875, x1=-9.83862, y=0.00000
x0=7.85846, x1=2.83267, y=343.71570
x0=7.99959, x1=6.85206, y=1541242.45227

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=7.48525, x1=-7.06527, y=0.00000
x0=7.87478, x1=1.10191, y=9.71785
x0=3.58154, x1=-8.98225, y=0.00001
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=2.26639, x1=-6.39053, y=-2.30511
x0=-1.50347, x1=6.41442, y=-1.53487
x0=8.09280, x1=1.68958, y=2.17620
x0=8.10572, x1=-8.64242, y=-11.14929
x0=8.51532, x1=0.36761, y=0.49820
x0=-0.79831, x1=-7.01088, y=0.89076
x0=-5.77807, x1=2.18587, y=-2.01014
x0=-6.22383, x1=8.45337, y=-8.37351
x0=-0.34049, x1=5.82328, y=-0.31556
x0=-3.39093, x1=6.89294, y=-3.72000
x0=-3.46677, x1=-6.74844, y=3.72348
x0=3.73354, x1=4.92230, y=2.92488
x0=7.64500, x1=-4.10263, y=-4.99184
x0=-2.33964, x1=-0.60393, y=0.22488
x0=8.55778, x1=-6.57673, y=-8.95759
x0=3.46790, x1=-1.00013, y=-0.55201
x0=-1.15069, x1=-7.00020, y=1.28200
x0=6.89807, x1=-6.00257, y=-6.58999
x0=-5.99452, x1=-6.54636, y=6.24560
x0=-9.59552, x1=-6.46021, y=9.86587
x0=-9.74021, x1=-0.65566, y=1.01641
x0=3.44393, x1=2.55971, y=1.40302
x0=-8.33661, x1=5.86479, y=-7.78148
x0=-8.58774, x1=-8.35579, y=11.42053
x0=-9.13885, x1=-5.14119, y=7.47783
x0=1.32243, x1=-8.92603, y=-1.87868
x0=-0.24965, x1=2.95413, y=-0.11738
x0=-4.58312, x1=2.11192, y=-1.54049
x0=4.94670, x1=-8.58892, y=-6.76199
x0=-0.26327, x1=2.21667, y=-0.09288
x0=7.75027, x1=-6.48811, y=-8.00304
x0=9.55484, x1=-7.88779, y=-11.99496
x0=4.72027, x1=-4.40176, y=-3.30684
x0=-8.31715, x1=-8.45680, y=11.19440
x0=-0.02916, x1=7.37302, y=-0.03422
x0=-3.32139, x1=5.57345, y=-2.94622
x0=-6.65818, x1=-0.91311, y=0.96760
x0=7.75647, x1=2.93217, y=3.61971
x0=1.35279, x1=1.64574, y=0.35433
x0=-5.52404, x1=8.24118, y=-7.24547
x0=-5.10280, x1=7.33619, y=-5.95799
x0=0.11986, x1=6.77309, y=0.12920
x0=6.08200, x1=8.14027, y=7.87962
x0=-3.87925, x1=-3.40195, y=2.10037
x0=-4.74338, x1=-2.05595, y=1.55211
x0=-5.64523, x1=3.97262, y=-3.56927
x0=-8.60468, x1=-0.12565, y=0.17208
x0=2.18975, x1=4.14792, y=1.44559
x0=5.62217, x1=-9.27292, y=-8.29737
x0=7.68417, x1=-1.15974, y=-1.41833
x0=-4.59579, x1=8.02037, y=-5.86644
x0=-8.45165, x1=-5.16040, y=6.94137
x0=5.37877, x1=0.96351, y=0.82482
x0=3.29350, x1=-8.46731, y=-4.43838
x0=-9.23881, x1=-6.85023, y=10.07259
x0=5.69683, x1=7.82512, y=7.09487
x0=4.06844, x1=-9.07551, y=-5.87651
x0=-2.91869, x1=0.95989, y=-0.44589
x0=-5.57627, x1=-5.65892, y=5.02224
x0=-4.30024, x1=-7.27047, y=4.97595
x0=-2.59354, x1=3.18821, y=-1.31601
x0=-7.41243, x1=-8.24615, y=9.72820
x0=7.45743, x1=-4.87670, y=-5.78809
x0=2.06204, x1=8.31496, y=2.72883
x0=-1.21611, x1=-4.58952, y=0.88830
x0=-8.53145, x1=-9.21971, y=12.51872
x0=7.56856, x1=-2.10281, y=-2.53299
x0=9.74503, x1=3.34105, y=5.18187
x0=8.29936, x1=-1.06553, y=-1.40745
x0=-5.94640, x1=-8.22561, y=7.78471
x0=-3.44610, x1=8.82769, y=-4.84167
x0=9.03802, x1=-1.23873, y=-1.78185
x0=-8.03151, x1=-3.91837, y=5.00867
x0=-2.59207, x1=9.75172, y=-4.02298
x0=-3.55564, x1=-9.29067, y=5.25757
x0=2.53329, x1=-8.24492, y=-3.32424
x0=3.22443, x1=3.27226, y=1.67927
x0=-1.53321, x1=-9.19124, y=2.24282
x0=0.53791, x1=3.98956, y=0.34155
x0=-7.47079, x1=-3.61934, y=4.30344
x0=-9.10734, x1=6.61743, y=-9.59183
x0=5.85579, x1=7.79362, y=7.26348
x0=-8.40068, x1=0.51890, y=-0.69378
x0=-4.05437, x1=-8.89337, y=5.73865
x0=2.40289, x1=-5.43545, y=-2.07869
x0=0.53431, x1=-9.61536, y=-0.81767
x0=1.47278, x1=4.21238, y=0.98739
x0=-3.45374, x1=-9.57543, y=5.26343
x0=3.92094, x1=-3.92076, y=-2.44670
x0=-4.13830, x1=3.71803, y=-2.44881
x0=1.18057, x1=3.75896, y=0.70629
x0=-7.74243, x1=-1.80092, y=2.21917
x0=-5.81402, x1=2.71005, y=-2.50769
x0=5.95627, x1=-8.24636, y=-7.81730
x0=0.84689, x1=5.96215, y=0.80362
x0=-0.71804, x1=8.14346, y=-0.93064
x0=-9.13271, x1=-4.20967, y=6.11883
x0=6.27994, x1=4.65683, y=4.65442
x0=6.72849, x1=-5.89511, y=-6.31291
x0=-2.70153, x1=-4.22043, y=1.81462
x0=6.47620, x1=8.05164, y=8.29898
x0=-7.81303, x1=-3.87016, y=4.81248
x0=-6.28009, x1=1.31489, y=-1.31424
x0=-9.80365, x1=-8.89454, y=13.87815
x0=1.99044, x1=0.59700, y=0.18912
x0=7.62115, x1=6.18711, y=7.50461
x0=-0.08756, x1=5.69619, y=-0.07938
x0=-6.20120, x1=2.97111, y=-2.93234
x0=7.82902, x1=-2.89137, y=-3.60273
x0=8.57779, x1=8.54358, y=11.66367
x0=4.36317, x1=3.64448, y=2.53080
x0=-7.81138, x1=4.11286, y=-5.11318
x0=-3.48913, x1=-8.67504, y=4.81735

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-2.29011, x1=3.66965, y=-1.33752
x0=2.56746, x1=8.19858, y=3.35014
x0=3.98930, x1=3.77910, y=2.39941
x0=6.75894, x1=0.89962, y=0.96774
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=7.20389, y=1390.20309
x0=7.00263, y=1280.50331
x0=5.96344, y=804.94438
x0=0.18985, y=0.43755
x0=9.61391, y=3225.37100
x0=-3.12147, y=-88.00426
x0=8.81819, y=2505.09177
x0=-5.53311, y=-519.20364
x0=8.90144, y=2574.83205
x0=9.67214, y=3282.92537
x0=-3.27221, y=-101.89929
x0=5.00874, y=488.07629
x0=7.66426, y=1664.36965
x0=8.06472, y=1930.38475
x0=1.84452, y=31.77026
x0=3.00013, y=115.96430
x0=2.56451, y=75.68363
x0=7.38438, y=1493.77356
x0=3.26796, y=146.77033
x0=2.34367, y=59.45657
x0=4.08329, y=273.41271
x0=-9.25293, y=-2520.53769
x0=-2.97680, y=-75.93582
x0=-2.26255, y=-32.43895
x0=3.21202, y=139.92959
x0=-7.20140, y=-1168.92511
x0=-2.75725, y=-59.85135
x0=-9.15874, y=-2442.86792
x0=-0.45622, y=-0.69272
x0=-4.01268, y=-192.03706
x0=-0.39191, y=-0.57605
x0=7.66945, y=1667.64775
x0=-9.53701, y=-2764.75859
x0=1.04421, y=8.03012
x0=-1.90723, y=-19.20186
x0=9.72704, y=3337.80819
x0=-4.70880, y=-315.31624
x0=-2.49157, y=-43.70895
x0=8.61004, y=2336.27908
x0=-5.50298, y=-510.52383
x0=-5.27841, y=-448.88032
x0=-2.82567, y=-64.58586
x0=-3.25816, y=-100.54537
x0=-2.52776, y=-45.70666
x0=-9.52725, y=-2756.11219
x0=6.83284, y=1192.58302
x0=0.24780, y=0.62284
x0=0.29104, y=0.78120
x0=-0.37198, y=-0.54326
x0=-7.34652, y=-1242.79903
x0=-5.39241, y=-479.50696
x0=5.14329, y=526.47200
x0=-8.94185, y=-2270.12671
x0=8.43784, y=2202.49943
x0=-2.47729, y=-42.93778
x0=6.12712, y=870.26993
x0=1.45923, y=17.64499
x0=4.36416, y=329.91908
x0=5.23016, y=552.30511
x0=5.45310, y=622.45383
x0=4.99694, y=484.80294
x0=6.54435, y=1052.60945
x0=5.61079, y=675.51373
x0=1.70636, y=26.05266
x0=-5.66383, y=-558.00333
x0=-4.71513, y=-316.62980
x0=3.47451, y=173.97209
x0=8.83444, y=2518.60268
x0=-6.79488, y=-977.73147
x0=3.42280, y=166.86801
x0=2.27043, y=54.64520
x0=-0.03559, y=-0.06081
x0=7.25901, y=1421.30761
x0=-9.11982, y=-2411.24282
x0=8.59924, y=2327.73022

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-9.74423, y=-2952.52757
x0=-3.79447, y=-161.43494
x0=-1.83420, y=-17.05163
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-1.07534, x1=-5.04966, y=-0.00336
x0=-4.72564, x1=4.92881, y=-0.01548
x0=1.10546, x1=-1.37635, y=0.04644
x0=-0.57184, x1=5.86168, y=-0.00132
x0=-5.04219, x1=-0.62669, y=-1.02165
x0=-3.21569, x1=-0.48181, y=-1.10231
x0=9.18253, x1=-4.74171, y=0.03250
x0=-8.98092, x1=2.23274, y=-0.14336
x0=0.48665, x1=6.21712, y=0.00100
x0=2.33044, x1=1.81079, y=0.05656
x0=5.31146, x1=-3.70535, y=0.03079
x0=2.02989, x1=-6.38520, y=0.00396
x0=-7.68473, x1=3.98094, y=-0.03859
x0=-9.12183, x1=1.25700, y=-0.45941
x0=-3.86192, x1=5.81358, y=-0.00909
x0=0.04037, x1=7.71361, y=0.00005
x0=-9.12305, x1=4.71914, y=-0.03260
x0=5.44528, x1=6.30033, y=0.01092
x0=-3.82806, x1=-7.39033, y=-0.00558
x0=-2.86605, x1=-3.07628, y=-0.02410
x0=2.52703, x1=-9.24190, y=0.00235
x0=9.25451, x1=-9.30400, y=0.00851
x0=2.58466, x1=-4.43833, y=0.01044
x0=9.35732, x1=7.46668, y=0.01336
x0=4.07278, x1=2.26155, y=0.06337
x0=-6.38654, x1=-5.82543, y=-0.01498
x0=-4.32556, x1=2.42660, y=-0.05846
x0=8.24734, x1=-6.46808, y=0.01569
x0=-3.09893, x1=-3.45341, y=-0.02068
x0=8.24306, x1=9.26528, y=0.00764
x0=-4.92040, x1=0.03064, y=-417.01806
x0=0.69642, x1=-4.46668, y=0.00278
x0=-3.82612, x1=6.04521, y=-0.00833
x0=-1.34852, x1=-6.40982, y=-0.00261
x0=3.11551, x1=-1.86394, y=0.07136
x0=0.41840, x1=-4.63869, y=0.00155
x0=6.14046, x1=-3.46003, y=0.04082
x0=-8.50814, x1=1.63307, y=-0.25387
x0=-4.32342, x1=1.81871, y=-0.10401
x0=4.69859, x1=-6.15846, y=0.00986
x0=4.69559, x1=6.94316, y=0.00775
x0=-3.30953, x1=-8.89231, y=-0.00333
x0=-6.54156, x1=2.80291, y=-0.06626
x0=3.61616, x1=3.26594, y=0.02698
x0=-7.34726, x1=3.69169, y=-0.04290
x0=6.68634, x1=9.16402, y=0.00634
x0=-0.55748, x1=0.42025, y=-0.25119
x0=-0.57394, x1=-5.04043, y=-0.00180
x0=0.00687, x1=4.32648, y=0.00003
x0=-3.67291, x1=4.21539, y=-0.01645
x0=-9.11502, x1=6.57015, y=-0.01680
x0=1.75199, x1=-1.97163, y=0.03586
x0=-3.70711, x1=0.74312, y=-0.53420
x0=8.87098, x1=7.01968, y=0.01433
x0=-8.38134, x1=-0.71197, y=-1.31575
x0=7.25000, x1=9.81718, y=0.00599
x0=-3.66803, x1=-3.53877, y=-0.02331
x0=-5.78136, x1=1.74085, y=-0.15181
x0=-0.38014, x1=1.99707, y=-0.00758
x0=-3.57286, x1=6.58544, y=-0.00656
x0=1.15183, x1=9.97030, y=0.00092
x0=4.18296, x1=-7.33895, y=0.00618
x0=7.48736, x1=2.58327, y=0.08929
x0=-9.04030, x1=-6.20795, y=-0.01867
x0=3.81495, x1=3.60011, y=0.02342
x0=-8.33159, x1=-5.10118, y=-0.02548
x0=6.00567, x1=-1.52650, y=0.20510
x0=-8.38511, x1=6.12579, y=-0.01778
x0=-4.00913, x1=-8.08400, y=-0.00488
x0=-5.51982, x1=-6.15807, y=-0.01158
x0=-8.61266, x1=4.79113, y=-0.02986
x0=5.67180, x1=8.57062, y=0.00614
x0=0.31250, x1=8.22008, y=0.00037
x0=7.77510, x1=-7.63250, y=0.01062
x0=-7.43650, x1=9.31161, y=-0.00683
x0=1.05572, x1=-4.87347, y=0.00354
x0=4.43045, x1=3.66481, y=0.02625
x0=-0.53446, x1=-5.00380, y=-0.00170
x0=-9.04006, x1=-6.48830, y=-0.01709
x0=2.18009, x1=0.53570, y=0.60453
x0=6.73071, x1=-5.84331, y=0.01569
x0=9.98910, x1=-4.75030, y=0.03523
x0=0.31994, x1=4.89141, y=0.00106
x0=-5.79267, x1=-1.79794, y=-0.14260
x0=7.78016, x1=3.91332, y=0.04043
x0=-4.93015, x1=0.46899, y=-1.78372
x0=8.52639, x1=3.35156, y=0.06040
x0=6.35517, x1=-3.38053, y=0.04425
x0=-6.29395, x1=-5.70874, y=-0.01537

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=1.10799, x1=-1.52080, y=0.03812
x0=7.41161, x1=-8.39836, y=0.00836
x0=-5.66818, x1=9.12786, y=-0.00541
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-4.40155, y=7.48606
x0=-0.93273, y=-0.03137
x0=2.08940, y=3.22748
x0=-0.36628, y=-0.11606
x0=5.58289, y=18.37577
x0=5.31237, y=16.76681
x0=1.72331, y=2.34655
x0=-0.30065, y=-0.10513
x0=-5.22693, y=11.04692
x0=3.23643, y=6.85544
x0=4.98066, y=14.89381
x0=-1.05536, y=0.02921
x0=4.14462, y=10.66124
x0=-4.42271, y=7.56884
x0=-7.21183, y=22.39933
x0=-8.09942, y=28.75060
x0=-8.23370, y=29.78002
x0=3.42448, y=7.57577
x0=-2.70470, y=2.30534
x0=-3.61918, y=4.73963
x0=-8.83324, y=34.59643
x0=-4.63286, y=8.41528
x0=5.15891, y=15.88661
x0=1.13306, y=1.20844
x0=-2.00003, y=1.00005
x0=9.25211, y=47.42680
x0=-0.32698, y=-0.11003
x0=0.78500, y=0.70061
x0=-2.17231, y=1.27331
x0=-7.08208, y=21.53688
x0=-8.48890, y=31.78624
x0=-4.96746, y=9.85408
x0=2.13725, y=3.35254
x0=-8.79480, y=34.27688
x0=8.97112, y=44.72608
x0=4.73810, y=13.59387
x0=-3.92634, y=5.74490
x0=8.65747, y=41.80465
x0=-5.83889, y=14.12686
x0=2.36547, y=3.98046
x0=-9.14916, y=37.27896
x0=-2.33839, y=1.56484
x0=2.81678, y=5.37552
x0=-8.86228, y=34.83885
x0=-2.07292, y=1.11204
x0=7.85014, y=34.73745
x0=2.18782, y=3.48718
x0=6.38117, y=23.55028
x0=8.05081, y=36.43316
x0=-6.55333, y=18.19643
x0=-1.82254, y=0.74956
x0=-6.41905, y=17.39258
x0=6.83611, y=26.78426
x0=8.70430, y=42.23454
x0=-7.82455, y=26.69951
x0=-4.72444, y=8.79794
x0=-1.51418, y=0.38928
x0=5.22855, y=16.28316
x0=7.33691, y=30.58358
x0=7.99027, y=35.91732
x0=2.63709, y=4.79567
x0=-6.65262, y=18.80238
x0=-3.99870, y=5.99544
x0=9.45383, y=49.41436
x0=8.16193, y=37.38952
x0=-7.95347, y=27.65212
x0=-7.99681, y=27.97605
x0=-1.38035, y=0.26251
x0=9.17626, y=46.68999
x0=5.62188, y=18.61369
x0=8.24429, y=38.10631
x0=-1.75736, y=0.66548
x0=8.01421, y=36.12089
x0=-3.63021, y=4.77411
x0=-6.30688, y=16.73492
x0=-8.36375, y=30.79429
x0=-7.22278, y=22.47287
x0=1.62253, y=2.12757
x0=-5.25635, y=11.18643
x0=-1.53131, y=0.40680
x0=-6.83649, y=19.95055
x0=-5.33191, y=11.54869
x0=-2.67375, y=2.23760
x0=-3.89633, y=5.64254
x0=2.38181, y=4.02742
x0=8.64440, y=41.68503
x0=-9.99577, y=44.95986
x0=-2.81351, y=2.55118
x0=8.44198, y=39.85448
x0=6.34641, y=23.31170
x0=6.46916, y=24.15962
x0=5.68525, y=19.00364
x0=-0.51520, y=-0.12488
x0=1.33132, y=1.55186
x0=5.75948, y=19.46557

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=2.11900, y=3.30458
x0=4.33825, y=11.57935
x0=1.16736, y=1.26505
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=0.88575, x1=8.21788, y=0.11377
x0=-2.43226, x1=-2.38562, y=0.58793
x0=-4.17211, x1=2.09604, y=0.33614
x0=-7.68002, x1=0.60114, y=0.13041
x0=5.96786, x1=-9.30016, y=0.06446
x0=-9.16314, x1=-9.24075, y=0.04669
x0=-2.93667, x1=5.16635, y=0.21439
x0=-2.47755, x1=-7.44200, y=0.12594
x0=7.64387, x1=-7.89380, y=0.06518
x0=-8.60987, x1=-9.52162, y=0.04796
x0=7.53744, x1=8.20634, y=0.06341
x0=9.33145, x1=-2.33287, y=0.08464
x0=7.55918, x1=4.43698, y=0.10149
x0=-0.63921, x1=-4.57830, y=0.34233
x0=-4.51961, x1=-4.15254, y=0.20166
x0=-2.79958, x1=7.56529, y=0.11928
x0=2.53370, x1=2.21852, y=0.59963
x0=5.70983, x1=7.64419, y=0.08599
x0=4.89644, x1=0.54370, y=0.30452
x0=-7.91047, x1=-4.88352, y=0.09047
x0=7.57374, x1=-8.37157, y=0.06180
x0=-7.33431, x1=-8.75252, y=0.06042
x0=8.68991, x1=3.46214, y=0.08938
x0=5.49358, x1=6.44741, y=0.10848
x0=-0.68129, x1=5.17222, y=0.27382
x0=-0.09670, x1=1.08208, y=2.51553
x0=4.27329, x1=-5.14272, y=0.17127
x0=5.48569, x1=-9.68137, y=0.06358
x0=2.54525, x1=-4.56287, y=0.27306
x0=4.89106, x1=5.69817, y=0.13701
x0=4.06621, x1=-0.34677, y=0.42886
x0=4.55056, x1=-2.41899, y=0.28012
x0=6.06827, x1=-3.44360, y=0.15785
x0=-0.01812, x1=-4.67935, y=0.33477
x0=5.55015, x1=-0.87204, y=0.23835
x0=-8.77788, x1=3.32967, y=0.08875
x0=4.90526, x1=-4.92930, y=0.15886
x0=8.75546, x1=-9.13287, y=0.04936
x0=-1.73527, x1=9.95326, y=0.07687
x0=-3.09981, x1=4.29487, y=0.26618
x0=3.06042, x1=7.85840, y=0.10941
x0=-2.15389, x1=-8.71597, y=0.09684
x0=4.96135, x1=7.19916, y=0.10198
x0=-5.16721, x1=-6.99749, y=0.10301
x0=-2.73372, x1=5.61764, y=0.19497
x0=-7.48831, x1=-4.52277, y=0.10187
x0=3.40930, x1=2.34573, y=0.41828
x0=-4.77014, x1=9.94326, y=0.06471
x0=-7.68802, x1=5.76155, y=0.08483
x0=4.14360, x1=9.31425, y=0.07553
x0=1.90993, x1=-2.87650, y=0.57463
x0=1.76770, x1=6.24277, y=0.18142
x0=7.89181, x1=-0.25874, y=0.12432
x0=6.48922, x1=-3.09406, y=0.14902
x0=-9.65839, x1=-0.18566, y=0.08393
x0=0.41141, x1=-8.84190, y=0.09957
x0=4.20039, x1=6.87038, y=0.11968
x0=5.66407, x1=-5.62707, y=0.12168
x0=7.42208, x1=-6.12314, y=0.08458
x0=-9.62020, x1=2.06297, y=0.08097
x0=-1.70701, x1=5.94569, y=0.19868
x0=-3.71175, x1=-4.14445, y=0.24277
x0=-4.07753, x1=-7.36381, y=0.10981
x0=0.03712, x1=-7.26082, y=0.14620
x0=2.97566, x1=1.20253, y=0.65037
x0=-2.28617, x1=-5.90280, y=0.19016
x0=-0.95025, x1=-3.65242, y=0.49251
x0=-7.52295, x1=-7.51920, y=0.06948
x0=0.92902, x1=-1.25708, y=1.80045
x0=-4.15368, x1=-5.93421, y=0.14688
x0=8.79913, x1=1.95431, y=0.09610
x0=8.22082, x1=7.89855, y=0.06062
x0=-9.69419, x1=-8.49367, y=0.04759
x0=-8.87768, x1=-5.76308, y=0.07016
x0=-0.66458, x1=1.74085, y=1.46193

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-0.39242, x1=2.44220, y=0.98542
x0=-9.71230, x1=9.19822, y=0.04421
x0=-7.23881, x1=-0.64377, y=0.14595
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=8.72739, x1=-1.63570, y=-14.27535
x0=1.13574, x1=4.26893, y=4.84840
x0=-4.76897, x1=-7.12907, y=33.99833
x0=-1.79532, x1=4.01011, y=-7.19945
x0=3.93974, x1=-6.36709, y=-25.08469
x0=2.74673, x1=-7.59037, y=-20.84872
x0=-3.74875, x1=1.15920, y=-4.34556
x0=3.96796, x1=-5.22958, y=-20.75077
x0=2.87611, x1=-1.82785, y=-5.25710
x0=3.65138, x1=2.84298, y=10.38078
x0=5.75881, x1=-3.34599, y=-19.26893
x0=3.80770, x1=-1.48345, y=-5.64855
x0=4.66233, x1=-4.18578, y=-19.51549
x0=2.79891, x1=-7.18505, y=-20.11035
x0=-4.59843, x1=7.35304, y=-33.81241
x0=-7.12128, x1=7.61114, y=-54.20108
x0=-7.18823, x1=0.60829, y=-4.37254
x0=-5.25906, x1=2.38522, y=-12.54401
x0=8.37752, x1=-7.05877, y=-59.13500
x0=-9.22559, x1=-3.27789, y=30.24044
x0=-2.09874, x1=0.98156, y=-2.06004
x0=1.62885, x1=-6.95056, y=-11.32145
x0=-3.50318, x1=1.14662, y=-4.01684
x0=-9.11186, x1=-8.28432, y=75.48558
x0=-7.65009, x1=1.02220, y=-7.81991
x0=9.99751, x1=5.85534, y=58.53887
x0=9.32095, x1=-4.51233, y=-42.05918
x0=-9.65437, x1=8.18033, y=-78.97588
x0=1.45668, x1=7.56752, y=11.02349
x0=-7.66483, x1=2.82690, y=-21.66774
x0=-2.79134, x1=2.58480, y=-7.21506
x0=9.09821, x1=4.80789, y=43.74319
x0=-2.58069, x1=-0.31896, y=0.82315
x0=0.38609, x1=-5.46435, y=-2.10971
x0=-4.55005, x1=2.41654, y=-10.99538
x0=-9.01699, x1=-4.41321, y=39.79388
x0=-0.65978, x1=0.47529, y=-0.31359
x0=-0.90684, x1=-7.20618, y=6.53484
x0=9.63585, x1=0.47641, y=4.59065
x0=9.38166, x1=9.86072, y=92.50998
x0=0.86699, x1=-8.12587, y=-7.04506
x0=-4.37678, x1=-6.29500, y=27.55185
x0=-3.20257, x1=-1.03389, y=3.31110
x0=8.34127, x1=1.41562, y=11.80805
x0=0.32160, x1=9.78747, y=3.14764
x0=0.59947, x1=3.66742, y=2.19850
x0=2.42188, x1=4.05054, y=9.80991
x0=6.43019, x1=-4.20293, y=-27.02565
x0=3.23917, x1=0.40068, y=1.29788
x0=-5.70280, x1=-3.96239, y=22.59672
x0=1.45614, x1=4.08954, y=5.95497
x0=-1.35866, x1=5.41498, y=-7.35709
x0=-0.57298, x1=3.94130, y=-2.25830
x0=2.90282, x1=6.42823, y=18.66002
x0=-3.87848, x1=-6.60191, y=25.60540
x0=-5.22941, x1=-4.37418, y=22.87441
x0=1.70774, x1=6.82052, y=11.64766
x0=5.29710, x1=-6.84636, y=-36.26587
x0=-4.54694, x1=2.90923, y=-13.22810
x0=-8.75961, x1=9.62864, y=-84.34311
x0=-1.41010, x1=-9.87788, y=13.92884
x0=-6.51433, x1=7.40412, y=-48.23287

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=0.73977, x1=0.64900, y=0.48012
x0=6.86590, x1=3.11417, y=21.38154
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-5.32255, x1=-1.04332, y=-0.85969
x0=5.40030, x1=4.35927, y=-0.55463
x0=0.54535, x1=-3.43664, y=-0.10727
x0=4.13975, x1=-0.56971, y=-0.07054
x0=9.18103, x1=-4.80710, y=-0.69089
x0=-3.64814, x1=-9.27995, y=-0.05245
x0=6.20816, x1=-1.58697, y=0.07876
x0=-0.22475, x1=8.57296, y=0.13666
x0=5.98929, x1=-7.93444, y=-0.28934
x0=-8.54607, x1=-5.08827, y=0.20674
x0=-0.37090, x1=0.41514, y=-0.51675
x0=7.70315, x1=-2.89528, y=-0.10414
x0=-9.87096, x1=-1.92704, y=-0.44753
x0=-9.86182, x1=-3.26063, y=0.04715
x0=-1.86548, x1=3.97329, y=0.13600
x0=-6.08829, x1=-9.32416, y=0.01449
x0=-7.96600, x1=9.92246, y=0.14257
x0=-6.83105, x1=7.23108, y=-0.65165
x0=9.95537, x1=-1.99805, y=0.37860
x0=1.78852, x1=-4.71772, y=-0.31400
x0=-3.85737, x1=-3.43835, y=-0.07050
x0=-0.89134, x1=-2.27913, y=-0.40662
x0=-3.55280, x1=-2.60368, y=0.21676
x0=-1.46097, x1=3.56776, y=0.17204
x0=-6.70397, x1=-7.83942, y=-0.42028
x0=-1.43592, x1=0.05256, y=-0.83448
x0=5.56915, x1=5.75473, y=-0.84725
x0=-4.49815, x1=7.71823, y=0.33721
x0=-1.03122, x1=6.54528, y=0.99114
x0=-1.37051, x1=2.58302, y=-0.24388
x0=-2.52706, x1=6.53085, y=-0.59976
x0=-4.10575, x1=-2.35836, y=0.04742
x0=8.28232, x1=-8.02840, y=0.09155
x0=1.80783, x1=5.72637, y=-0.40068
x0=9.81441, x1=-8.25849, y=-0.45925
x0=-0.46124, x1=-0.40833, y=-0.62472
x0=0.94523, x1=8.45877, y=-0.45902
x0=-9.26688, x1=5.70977, y=0.93240
x0=1.26405, x1=2.56630, y=0.26882
x0=6.40420, x1=-1.77754, y=-0.11380
x0=-1.49874, x1=-4.94019, y=0.61008
x0=7.09927, x1=6.72643, y=0.91750
x0=4.29170, x1=-7.17844, y=-0.13860
x0=-8.02717, x1=7.06163, y=-0.46422
x0=-2.30375, x1=1.94198, y=0.17437
x0=-3.15632, x1=7.64442, y=-0.77699
x0=2.53121, x1=8.31440, y=0.32118
x0=1.89465, x1=7.20578, y=-0.26430
x0=-4.61580, x1=-3.85481, y=0.20862
x0=6.43635, x1=-0.32237, y=-0.22478
x0=0.75113, x1=1.78457, y=0.56675
x0=-7.04450, x1=8.92465, y=-0.22506
x0=-3.29535, x1=-3.82950, y=-0.32828
x0=5.61933, x1=3.38293, y=-0.10102
x0=-9.97261, x1=-9.81602, y=-0.13236
x0=-2.40378, x1=9.34886, y=-0.01699
x0=8.23825, x1=-9.14084, y=0.02936
x0=1.80753, x1=5.57904, y=-0.39156
x0=-7.63186, x1=4.00815, y=-0.37765
x0=4.67484, x1=4.22726, y=-0.34412
x0=-2.19689, x1=0.36491, y=0.15060
x0=5.49001, x1=-0.88587, y=0.83870
x0=1.16809, x1=9.64991, y=0.11049
x0=-0.84736, x1=3.09266, y=-0.02337
x0=-6.52131, x1=-5.64583, y=-0.33204
x0=-8.47308, x1=-2.81637, y=-0.02311
x0=-0.34757, x1=-8.60292, y=0.19895
x0=3.61490, x1=-0.23111, y=-0.75333
x0=6.19491, x1=-8.52209, y=-0.05759
x0=5.63577, x1=-0.79490, y=0.76117
x0=-7.94705, x1=8.45235, y=-0.28122
x0=7.54351, x1=0.34374, y=-0.93535
x0=5.15887, x1=8.46197, y=-0.45993
x0=3.99530, x1=6.16477, y=0.28568
x0=0.21022, x1=-7.98794, y=-0.20412
x0=-4.30111, x1=1.24956, y=-0.13600
x0=3.91622, x1=8.31261, y=0.20986
x0=-6.86897, x1=-7.75088, y=-0.57173
x0=-9.32716, x1=-2.56847, y=-0.27963
x0=-7.71713, x1=-1.25037, y=0.67820
x0=-0.78008, x1=-9.79957, y=-0.17155
x0=-8.90879, x1=2.91135, y=-0.08215
x0=1.16730, x1=-5.52175, y=-0.91337
x0=4.32854, x1=5.65267, y=-0.19783
x0=-5.17730, x1=-4.42164, y=0.59490
x0=5.32272, x1=-0.87204, y=0.89878
x0=-4.12956, x1=9.62133, y=0.00871
x0=4.98816, x1=2.62787, y=0.23669
x0=9.06921, x1=2.62332, y=0.22065
x0=2.01086, x1=-4.47169, y=-0.07712
x0=-2.82921, x1=-0.45375, y=0.86935
x0=4.97445, x1=-2.45805, y=0.30970
x0=0.93461, x1=-0.47608, y=0.95798
x0=-8.68853, x1=-2.34617, y=-0.17417
x0=8.69072, x1=-9.90272, y=0.10714
x0=-5.74470, x1=-1.75029, y=-0.46318
x0=-3.47928, x1=-3.87424, y=-0.31321
x0=-4.65875, x1=5.74191, y=0.62441
x0=8.75308, x1=-3.76606, y=-0.16402
x0=-0.17138, x1=-3.76080, y=0.07746
x0=-4.03171, x1=-1.58851, y=0.16360
x0=2.17671, x1=-4.67024, y=0.08524
x0=4.04856, x1=-6.86483, y=0.20003
x0=3.95064, x1=-9.57727, y=-0.02664
x0=9.82946, x1=-3.31325, y=-0.07041
x0=-9.99241, x1=4.02838, y=0.28267
x0=4.22257, x1=7.36075, y=-0.04348
x0=-8.31959, x1=4.49239, y=-0.05432
x0=6.47902, x1=-6.89751, y=0.27600
x0=-7.11007, x1=6.70436, y=-0.92499
x0=-3.10670, x1=7.44260, y=-0.83548
x0=-1.42166, x1=4.71815, y=0.60019
x0=8.62053, x1=-9.90992, y=0.08561
x0=6.67221, x1=-2.99798, y=-0.03953

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-7.01255, x1=4.37646, y=-0.51439
x0=-9.47510, x1=4.97294, y=0.79072
x0=9.71771, x1=2.84317, y=0.13454
x0=-4.13042, x1=-7.46473, y=-0.07262
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-6.24091, x1=-6.97060, y=0.19601
x0=-7.88129, x1=1.52051, y=-0.30145
x0=-1.69827, x1=7.44141, y=-2.38627
x0=-8.97686, x1=-5.17691, y=-1.16413
x0=2.55911, x1=6.74493, y=2.95496
x0=-9.16890, x1=8.01034, y=0.23647
x0=-2.99703, x1=2.43448, y=0.65714
x0=3.09829, x1=-0.20709, y=0.25417
x0=-2.76508, x1=1.56358, y=-0.01592
x0=-4.45137, x1=2.41581, y=-4.33588
x0=-5.27331, x1=3.23641, y=-5.05778
x0=-8.36706, x1=5.14919, y=-2.21142
x0=0.17844, x1=-8.41632, y=-0.56781
x0=-2.69624, x1=-7.29043, y=-1.38068
x0=1.44847, x1=-6.33810, y=5.94619
x0=1.98618, x1=3.49744, y=-5.14585
x0=5.32114, x1=-6.17899, y=-4.89548
x0=9.58608, x1=-9.29107, y=0.95499
x0=7.03583, x1=6.08018, y=4.01720
x0=-3.83161, x1=1.80776, y=-0.89658
x0=9.20947, x1=-1.51226, y=0.07499
x0=9.23792, x1=-6.22620, y=1.11282
x0=1.98948, x1=9.48338, y=-5.47233
x0=-7.57602, x1=8.42861, y=3.13598
x0=0.22280, x1=-3.34228, y=-1.29914
x0=4.55257, x1=-0.55492, y=-5.03468
x0=-2.36239, x1=4.00659, y=2.73484
x0=-0.30277, x1=4.64167, y=0.12641
x0=1.83189, x1=8.85067, y=-4.86732
x0=6.94957, x1=8.71895, y=-2.82273
x0=2.74949, x1=-9.10101, y=-2.17364
x0=2.49498, x1=4.52624, y=-0.66901
x0=3.15459, x1=-6.37099, y=-0.07768
x0=-6.80949, x1=0.97663, y=-1.68734
x0=-1.16215, x1=-8.02025, y=0.91125
x0=-4.81436, x1=8.90237, y=-5.17271
x0=-5.60434, x1=-8.43962, y=-2.08234
x0=6.97443, x1=-8.94100, y=-3.38605
x0=3.38438, x1=8.67904, y=1.05960
x0=0.57078, x1=-3.98935, y=-2.14495
x0=-0.25890, x1=9.88782, y=1.37434
x0=6.03367, x1=7.02137, y=-1.09593
x0=1.84877, x1=1.33498, y=1.34802
x0=4.17832, x1=4.79284, y=-0.41506
x0=5.28722, x1=6.69607, y=-4.61256
x0=3.44801, x1=4.35954, y=0.62544
x0=6.49411, x1=-9.37021, y=-1.25431
x0=-8.17252, x1=5.37288, y=-3.49584
x0=2.33197, x1=0.67387, y=3.39458
x0=2.73711, x1=-8.93632, y=-2.08513
x0=-0.24328, x1=-4.20400, y=0.70356
x0=8.59655, x1=-2.65886, y=-3.91529
x0=-2.53800, x1=9.77275, y=3.20152
x0=9.12396, x1=0.12828, y=1.76322
x0=-4.12867, x1=6.53740, y=4.84559
x0=0.95663, x1=-2.13262, y=-2.61225
x0=-9.61404, x1=-7.15368, y=0.72744
x0=-7.12230, x1=7.59048, y=-1.16279
x0=-7.77787, x1=-8.56902, y=3.92250
x0=9.23649, x1=-0.95000, y=0.65327
x0=-6.07149, x1=-1.88160, y=-0.38556
x0=8.26477, x1=-8.94487, y=-4.87946
x0=-1.48966, x1=-9.15342, y=5.76143
x0=-2.35639, x1=2.22432, y=2.57899
x0=6.95221, x1=9.03391, y=-3.44067
x0=5.83772, x1=2.92229, y=2.52337
x0=8.51429, x1=1.05840, y=2.32328
x0=-0.14225, x1=-9.37134, y=0.84942
x0=2.75267, x1=9.39997, y=-2.27444
x0=-8.47791, x1=-1.58986, y=0.09281
x0=-9.27937, x1=3.13103, y=0.86934
x0=6.51660, x1=6.08879, y=1.36168
x0=-8.79363, x1=5.53537, y=-2.59577
x0=-3.25192, x1=1.76960, y=-0.13047
x0=9.40715, x1=6.78056, y=0.09296
x0=-8.67124, x1=3.88535, y=3.02125
x0=2.37699, x1=0.41221, y=3.80562
x0=-9.13983, x1=-9.22466, y=1.65300
x0=-7.08762, x1=-4.84118, y=-0.55516
x0=8.03698, x1=3.19660, y=-5.89088
x0=-0.61645, x1=5.29803, y=-1.91736
x0=-1.61393, x1=-5.33551, y=-3.49817
x0=9.86420, x1=-2.68136, y=2.28690
x0=-0.21322, x1=9.05806, y=1.18524
x0=-2.92504, x1=6.08435, y=-1.26381
x0=2.87471, x1=-3.96240, y=-1.07857
x0=7.28515, x1=7.59011, y=1.31847
x0=3.55012, x1=-0.48821, y=-2.10507
x0=7.17009, x1=4.58179, y=-0.60567
x0=-4.67442, x1=5.47474, y=4.14077
x0=-2.59687, x1=5.39252, y=-1.95530
x0=-3.99014, x1=-1.90619, y=-1.48178
x0=-0.06018, x1=-1.77484, y=0.07313

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-4.88938, x1=-4.17659, y=-3.01533
x0=8.00965, x1=-9.70154, y=-5.70188
x0=-8.84353, x1=-9.34607, y=3.28418
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=7.84834, x1=8.09844, y=17632094.72298
x0=3.63286, x1=-0.88439, y=0.31954
x0=7.56379, x1=4.96111, y=22883.48257
x0=5.99307, x1=2.55337, y=96.74379
x0=8.24020, x1=-9.06087, y=0.00000
x0=6.25377, x1=3.08995, y=288.42679
x0=0.83861, x1=6.64369, y=0.31056
x0=2.88295, x1=-3.22725, y=0.03281
x0=9.67186, x1=6.99589, y=7843610.30019
x0=5.32106, x1=6.29449, y=37135.43754
x0=7.76601, x1=1.93101, y=52.35786
x0=7.55047, x1=0.53688, y=2.96050
x0=8.29887, x1=1.95032, y=61.99823
x0=1.43926, x1=-2.30450, y=0.43208
x0=5.37154, x1=7.31309, y=218411.87271
x0=2.04865, x1=2.51621, y=6.07744
x0=2.29474, x1=-8.43719, y=0.00090
x0=0.58543, x1=-7.72985, y=62.71314
x0=1.97308, x1=-8.42061, y=0.00327
x0=4.76294, x1=-1.28989, y=0.13354
x0=8.22454, x1=9.40037, y=400297663.50538
x0=3.34325, x1=4.12559, y=145.37926
x0=9.08878, x1=-6.38258, y=0.00000
x0=9.18580, x1=0.69348, y=4.65482
x0=2.83613, x1=6.52829, y=902.66085
x0=7.86591, x1=9.91418, y=759656376.27593
x0=8.30340, x1=-1.77052, y=0.02357
x0=0.44497, x1=2.28185, y=0.15760
x0=8.94364, x1=-3.79231, y=0.00025
x0=6.86223, x1=-0.93826, y=0.16413
x0=9.91758, x1=-0.08862, y=0.81601
x0=1.73819, x1=-7.16737, y=0.01902
x0=2.86318, x1=2.93968, y=22.02877
x0=5.84343, x1=-0.78053, y=0.25211
x0=2.26633, x1=-3.85230, y=0.04278
x0=6.69303, x1=-9.86326, y=0.00000
x0=8.96093, x1=-1.14466, y=0.08126
x0=4.02859, x1=-1.75191, y=0.08706
x0=6.69271, x1=4.31130, y=3625.89928
x0=0.95764, x1=7.29698, y=0.72918
x0=2.39834, x1=-4.90176, y=0.01373
x0=6.51875, x1=1.26402, y=10.69360
x0=4.12456, x1=-2.89161, y=0.01662
x0=1.51922, x1=9.88886, y=62.52125
x0=8.84660, x1=-7.54938, y=0.00000
x0=9.10266, x1=-4.65615, y=0.00003
x0=2.99437, x1=-8.44795, y=0.00009
x0=4.01993, x1=-4.14848, y=0.00311
x0=3.41194, x1=1.59694, y=7.09859
x0=4.29573, x1=1.49272, y=8.80938
x0=8.83634, x1=-4.96871, y=0.00002
x0=9.72232, x1=0.08839, y=1.22268
x0=0.52618, x1=-6.16504, y=52.38425
x0=8.79860, x1=-3.56745, y=0.00043
x0=1.50087, x1=-2.66995, y=0.33820
x0=2.95029, x1=6.50024, y=1133.01363
x0=9.56791, x1=-8.41741, y=0.00000
x0=9.81684, x1=4.49684, y=28889.24717
x0=0.40085, x1=-6.19135, y=287.14666
x0=7.78497, x1=8.81454, y=71783281.72799
x0=6.37106, x1=5.35928, y=20417.08522
x0=2.75199, x1=-5.68187, y=0.00318
x0=0.61601, x1=0.78237, y=0.68451
x0=6.26346, x1=-9.74065, y=0.00000
x0=6.04394, x1=-5.83797, y=0.00003
x0=4.54755, x1=-9.10546, y=0.00000
x0=9.73934, x1=3.58612, y=3507.38864
x0=1.43668, x1=7.71998, y=16.39913
x0=4.22297, x1=2.53804, y=38.71198
x0=4.76417, x1=-4.51694, y=0.00087
x0=6.61580, x1=-4.69306, y=0.00014
x0=9.39326, x1=6.70931, y=3364524.76533
x0=5.99386, x1=2.90128, y=180.44569
x0=3.08013, x1=-6.64264, y=0.00057
x0=0.41941, x1=-3.46483, y=20.29982
x0=3.16114, x1=9.01056, y=31906.14873
x0=8.58072, x1=-9.01170, y=0.00000
x0=1.62698, x1=8.50026, y=62.63301
x0=8.98622, x1=2.35009, y=174.17892
x0=1.03451, x1=7.35906, y=1.28360
x0=4.52055, x1=-0.49071, y=0.47697
x0=1.16821, x1=9.75848, y=4.55922
x0=6.83626, x1=1.29133, y=11.96823
x0=1.77576, x1=-9.41575, y=0.00449
x0=4.69580, x1=0.85156, y=3.73251
x0=6.97534, x1=1.93820, y=43.15189
x0=7.41207, x1=6.85597, y=921041.18854
x0=2.84055, x1=9.88062, y=30192.71584
x0=2.71191, x1=-4.38525, y=0.01259
x0=9.87767, x1=8.00621, y=91921078.04001
x0=4.03375, x1=-6.73830, y=0.00008
x0=5.85296, x1=-6.70147, y=0.00001
x0=0.38847, x1=-2.20176, y=8.01926
x0=5.24723, x1=5.04203, y=4264.90193
x0=6.94069, x1=-6.47694, y=0.00000
x0=6.94144, x1=3.07554, y=387.18328
x0=1.80200, x1=5.02649, y=19.29977
x0=7.16989, x1=1.60602, y=23.65776
x0=2.01556, x1=2.92341, y=7.76026
x0=2.65261, x1=2.38325, y=10.22637
x0=4.07123, x1=-5.93884, y=0.00024
x0=6.92697, x1=4.95492, y=14615.95416
x0=3.80969, x1=7.75115, y=31810.02027
x0=8.46453, x1=7.84720, y=19014481.95091
x0=2.64741, x1=1.27160, y=3.44874
x0=6.67090, x1=0.93151, y=5.85779
x0=4.29490, x1=-1.59392, y=0.09798
x0=6.90970, x1=0.00411, y=1.00797
x0=3.31661, x1=-4.55465, y=0.00425
x0=5.27762, x1=-1.84835, y=0.04620
x0=1.20203, x1=-5.36546, y=0.37258
x0=6.24265, x1=-1.98947, y=0.02616
x0=6.70814, x1=0.05195, y=1.10393
x0=1.41116, x1=-6.38493, y=0.11091
x0=5.80832, x1=-4.98606, y=0.00016
x0=2.44170, x1=3.83852, y=30.77282
x0=2.89340, x1=0.96240, y=2.78011
x0=1.90516, x1=3.87097, y=12.12288
x0=0.93617, x1=-9.93209, y=1.92539
x0=2.87463, x1=7.11093, y=1823.65264
x0=7.41860, x1=-0.65420, y=0.26955
x0=5.45568, x1=5.93309, y=23539.25244
x0=2.43226, x1=-9.74340, y=0.00017
x0=0.41543, x1=-2.09190, y=6.28160
x0=1.48990, x1=3.31693, y=3.75273
x0=0.12329, x1=5.98673, y=0.00000
x0=0.54909, x1=-5.63611, y=29.33682
x0=7.35786, x1=-7.51570, y=0.00000
x0=7.13635, x1=-2.93159, y=0.00315
x0=4.83627, x1=-4.11589, y=0.00152
x0=3.53041, x1=-7.24039, y=0.00011
x0=0.01511, x1=-4.24492, y=53558748.59105
x0=3.85738, x1=7.55536, y=26893.96787
x0=5.49770, x1=9.76835, y=16995878.06841
x0=9.96278, x1=2.42648, y=264.57342
x0=5.85427, x1=-4.55223, y=0.00032
x0=8.66308, x1=3.69171, y=2894.75850

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=3.93984, x1=-2.75213, y=0.02297
x0=7.56089, x1=-0.48060, y=0.37823
x0=2.21897, x1=0.04759, y=1.03866
x0=8.18542, x1=5.65265, y=144911.72449
x0=5.15012, x1=-3.66418, y=0.00246
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).