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=4.71379, x1=7.11460, y=0.10690
x0=8.59885, x1=6.52206, y=0.06752
x0=1.95430, x1=2.36132, y=0.70206
x0=-8.14847, x1=-0.93523, y=0.11549
x0=-4.84361, x1=-0.54685, y=0.31056
x0=-4.13021, x1=-2.74673, y=0.30072
x0=-3.70515, x1=8.66992, y=0.08801
x0=-8.63488, x1=8.32965, y=0.05482
x0=-8.34765, x1=8.31596, y=0.05680
x0=-6.37411, x1=-3.97097, y=0.13699
x0=-0.36169, x1=7.01542, y=0.15580
x0=-4.44089, x1=8.33527, y=0.08772
x0=1.93746, x1=-1.11139, y=1.14466
x0=-5.16639, x1=2.12049, y=0.24105
x0=2.95004, x1=4.82474, y=0.23543
x0=-2.84435, x1=7.64286, y=0.11678
x0=5.30873, x1=2.82247, y=0.20970
x0=8.08481, x1=2.60242, y=0.10791
x0=-2.82601, x1=-8.34417, y=0.10049
x0=8.07073, x1=-6.02014, y=0.07739
x0=-9.43866, x1=1.99621, y=0.08415
x0=2.78038, x1=-3.88838, y=0.32193
x0=-5.68680, x1=-0.99107, y=0.22649
x0=-1.07374, x1=2.41219, y=0.89170
x0=1.56048, x1=8.48923, y=0.10457
x0=1.07137, x1=4.38708, y=0.35723
x0=0.62484, x1=-5.07572, y=0.28416
x0=9.80861, x1=-0.00327, y=0.08146
x0=-1.69578, x1=6.81710, y=0.15580
x0=-4.53101, x1=3.88397, y=0.21268
x0=8.62420, x1=-9.31809, y=0.04902
x0=-5.78148, x1=-1.98833, y=0.20315
x0=7.19281, x1=2.54419, y=0.13287
x0=9.55658, x1=-4.75831, y=0.06898
x0=5.20213, x1=9.35881, y=0.06858
x0=-4.69253, x1=8.43630, y=0.08404
x0=1.72508, x1=5.24826, y=0.24600
x0=5.73717, x1=-3.81320, y=0.16176
x0=-2.56175, x1=-7.05496, y=0.13714
x0=-0.39039, x1=2.39351, y=1.01506
x0=0.26226, x1=-5.17588, y=0.27721
x0=-5.47945, x1=0.08273, y=0.24976
x0=-0.16788, x1=9.60482, y=0.08485
x0=6.91849, x1=-1.92621, y=0.14932
x0=-3.08491, x1=-2.74649, y=0.41973
x0=-3.47329, x1=5.70079, y=0.17181
x0=-4.88880, x1=-5.63190, y=0.13884
x0=-9.67627, x1=8.37229, y=0.04827
x0=-8.80483, x1=-9.44564, y=0.04741
x0=-7.10499, x1=2.50627, y=0.13614
x0=-4.96786, x1=-9.47858, y=0.06866
x0=-9.96546, x1=-1.38490, y=0.07750
x0=1.32279, x1=-4.56181, y=0.32573
x0=5.41544, x1=-5.65378, y=0.12640
x0=0.10702, x1=-6.11556, y=0.20299
x0=-0.61748, x1=-5.28175, y=0.26422
x0=-6.77427, x1=-1.04481, y=0.16332
x0=5.82396, x1=-3.42314, y=0.16794
x0=-5.54485, x1=-0.43531, y=0.24290
x0=-5.33255, x1=-0.37186, y=0.26166
x0=-5.17943, x1=-1.80358, y=0.24938
x0=-1.60127, x1=-8.24790, y=0.11021
x0=5.48282, x1=0.25728, y=0.24901
x0=5.59269, x1=-2.75249, y=0.19582
x0=6.36634, x1=-7.12471, y=0.08575
x0=-2.74400, x1=8.77679, y=0.09242
x0=5.46791, x1=5.62857, y=0.12583
x0=7.83007, x1=3.10625, y=0.10965
x0=1.55646, x1=-9.85993, y=0.07871
x0=3.62696, x1=6.77266, y=0.13110
x0=4.14360, x1=9.31425, y=0.07553
x0=8.01067, x1=-9.24478, y=0.05276
x0=5.80657, x1=-8.53507, y=0.07369
x0=0.60607, x1=7.93791, y=0.12237
x0=-8.64648, x1=8.96026, y=0.05094
x0=-8.61165, x1=-1.72519, y=0.10109
x0=-2.65491, x1=1.25970, y=0.75221
x0=-8.77398, x1=1.14220, y=0.09964
x0=-5.87760, x1=-6.23497, y=0.10607
x0=-6.92289, x1=9.64569, y=0.05596
x0=3.06235, x1=7.44397, y=0.11978
x0=-5.07655, x1=-6.03435, y=0.12464
x0=-0.30349, x1=-6.90508, y=0.16073
x0=0.60020, x1=1.67820, y=1.54542
x0=-3.71175, x1=-4.14445, y=0.24277
x0=0.94401, x1=-0.47596, y=2.56600
x0=7.19463, x1=2.89667, y=0.12871
x0=-4.58182, x1=3.26158, y=0.23788
x0=4.64935, x1=-5.76016, y=0.14086
x0=0.99394, x1=-1.14526, y=1.86066
x0=-2.35662, x1=-1.27152, y=0.87237
x0=-9.13864, x1=4.98021, y=0.07252
x0=0.86828, x1=-1.32997, y=1.76884
x0=-3.50438, x1=0.17907, y=0.55894
x0=4.67379, x1=5.83676, y=0.13814
x0=4.97482, x1=0.12736, y=0.29890
x0=-2.47755, x1=-7.44200, y=0.12594
x0=-0.89554, x1=9.40593, y=0.08765
x0=-8.72708, x1=-4.09314, y=0.08429
x0=-6.20689, x1=0.97601, y=0.19287
x0=9.42995, x1=-9.05556, y=0.04626
x0=6.70144, x1=-7.62827, y=0.07612
x0=4.43756, x1=-1.49709, y=0.33426
x0=7.94060, x1=-0.13852, y=0.12294
x0=-9.69256, x1=-5.58607, y=0.06292
x0=-9.97948, x1=2.13677, y=0.07536
x0=-9.00294, x1=6.50271, y=0.06383
x0=9.81489, x1=3.14534, y=0.07392
x0=7.26654, x1=-8.46185, y=0.06329
x0=2.18365, x1=6.85226, y=0.14892
x0=-6.07298, x1=-2.93694, y=0.16840
x0=3.59026, x1=-9.91517, y=0.07067
x0=7.22082, x1=-7.21053, y=0.07538
x0=9.78590, x1=1.07273, y=0.08088
x0=-1.20151, x1=-8.51428, y=0.10535
x0=-0.75919, x1=9.41420, y=0.08772
x0=0.26975, x1=7.33185, y=0.14330
x0=5.23509, x1=-6.30975, y=0.11558
x0=2.56599, x1=1.27686, y=0.78319
x0=0.23475, x1=-5.26348, y=0.26882
x0=3.93718, x1=-6.51394, y=0.13348
x0=6.48922, x1=-3.09406, y=0.14902
x0=-2.04097, x1=-3.58632, y=0.42045

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=-0.67301, x1=-1.86158, y=1.35171
x0=-8.72949, x1=6.95443, y=0.06321
x0=7.24497, x1=2.06639, y=0.13615
x0=6.18915, x1=-7.34193, y=0.08492
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=-2.52822, y=-7.28011
x0=-1.51647, y=1.04323
x0=-7.19163, y=-343.70760
x0=-8.38017, y=-555.45290
x0=-2.48322, y=-6.62609
x0=-2.68051, y=-9.72547
x0=0.63962, y=0.22854
x0=-7.79479, y=-442.91098
x0=-4.91454, y=-99.78328
x0=8.13956, y=507.20734
x0=-6.18829, y=-212.83124
x0=-3.49982, y=-29.85041
x0=-5.30390, y=-128.68387
x0=-0.86850, y=1.40864
x0=4.24793, y=60.60662
x0=-9.41079, y=-796.21446
x0=6.44832, y=242.96237
x0=-8.15809, y=-510.79268
x0=-8.61766, y=-605.95563
x0=3.45324, y=28.51252
x0=8.50524, y=581.71861
x0=-9.07215, y=-710.80861
x0=-9.31892, y=-772.41364
x0=2.46990, y=6.72000
x0=-8.66840, y=-617.12129
x0=3.51284, y=30.42563
x0=-6.03192, y=-195.95688
x0=-0.15004, y=0.98782
x0=-1.87633, y=-0.53956
x0=-4.50488, y=-74.20159
x0=1.17530, y=-0.68360
x0=3.70806, y=37.22588
x0=2.20972, y=3.62338
x0=-1.47444, y=1.14926
x0=-6.76051, y=-282.50088
x0=-5.92082, y=-184.50715
x0=8.21879, y=522.78513
x0=-3.74772, y=-38.57741
x0=9.02635, y=699.76616
x0=-0.85828, y=1.39983
x0=-1.84014, y=-0.32051
x0=-1.06201, y=1.52380
x0=8.40899, y=561.45590
x0=3.32561, y=24.66366
x0=-2.31981, y=-4.50222
x0=0.37608, y=0.74289
x0=5.53679, y=148.31992
x0=3.43489, y=27.93866
x0=-3.33974, y=-24.90889
x0=-3.15831, y=-19.93073
x0=1.31077, y=-0.69418
x0=6.38318, y=235.18514
x0=8.45304, y=570.67180
x0=0.36993, y=0.75213
x0=5.93668, y=186.16959
x0=-7.29074, y=-358.89503
x0=-4.75472, y=-89.23587
x0=-6.02025, y=-194.73281
x0=-4.66166, y=-83.43242
x0=6.28437, y=223.69872
x0=-0.06857, y=0.99628
x0=2.39284, y=5.70112
x0=2.33124, y=4.94920
x0=-9.54622, y=-832.16857
x0=3.57555, y=32.51963
x0=5.90053, y=182.51911
x0=5.06490, y=110.46895
x0=0.26351, y=0.88493
x0=-1.98811, y=-1.30956
x0=1.28789, y=-0.70161

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=9.52831, y=827.37695
x0=3.82191, y=41.58254
x0=-6.63890, y=-266.62113
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=-2.42522, y=143.36137
x0=-5.06294, y=14064.12683
x0=1.52919, y=34.06077
x0=-6.10352, y=44420.36890
x0=4.59528, y=12033.85149
x0=5.98427, y=55140.20144
x0=-4.60225, y=7805.18067
x0=-2.09393, y=56.36902
x0=0.87903, y=3.91418
x0=9.59929, y=873394.18130
x0=4.79252, y=15310.22278
x0=6.31854, y=75599.47725
x0=-0.34874, y=-0.25810
x0=9.48847, y=815726.23941
x0=-5.90316, y=36185.58976
x0=-7.80241, y=199985.98129
x0=3.62196, y=3117.36980
x0=-6.95619, y=99057.99528
x0=4.24578, y=7661.44175
x0=-7.98627, y=230582.22886
x0=-9.33276, y=596835.52738
x0=-0.11300, y=-0.10153
x0=-2.07988, y=53.99229
x0=1.52429, y=33.55958
x0=-1.18694, y=0.97489
x0=-2.42153, y=141.98578
x0=-1.41221, y=4.05850
x0=-5.56512, y=25180.42927
x0=9.35248, y=749325.07071
x0=0.51778, y=1.05307
x0=2.56585, y=465.95160
x0=2.52290, y=425.54117
x0=4.14038, y=6640.71974
x0=-0.71713, y=-0.36083
x0=4.24107, y=7613.14429
x0=0.53041, y=1.10437
x0=-1.48882, y=5.91671
x0=4.34995, y=8796.09507
x0=-6.42163, y=60675.50029
x0=-2.20241, y=77.80223
x0=-2.94007, y=481.20163
x0=-9.13795, y=524796.53962
x0=-6.52206, y=66734.77602
x0=-7.78354, y=197046.78010
x0=2.23283, y=222.61977
x0=-2.25845, y=91.28007
x0=-8.49579, y=336429.25165
x0=6.62055, y=99191.93626
x0=5.78038, y=45104.36171
x0=4.56637, y=11607.06105
x0=-2.06522, y=51.60151
x0=7.57591, y=217813.37245
x0=-1.22492, y=1.30909
x0=-1.31456, y=2.36288
x0=1.59010, y=40.86089
x0=0.95942, y=5.20318
x0=-1.06435, y=0.23396
x0=4.03366, y=5725.65937
x0=3.08273, y=1268.85479
x0=-9.49871, y=664531.43875
x0=5.55675, y=35898.35694
x0=2.56934, y=469.37255
x0=-5.56191, y=25091.24127
x0=-2.28176, y=97.42981

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=4.49728, y=10638.21429
x0=6.08166, y=60553.93536
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=4.56071, x1=-6.31997, y=-43.23525
x0=-4.16538, x1=6.76596, y=-42.27420
x0=4.51317, x1=-8.25927, y=-55.91327
x0=-6.83333, x1=-7.10135, y=72.78877
x0=-7.96850, x1=-0.59052, y=7.05830
x0=9.31348, x1=-0.48159, y=-6.72788
x0=7.27386, x1=-4.73858, y=-51.70169
x0=1.07373, x1=0.60309, y=0.97133
x0=-1.26949, x1=-8.11719, y=15.45702
x0=-1.77940, x1=-0.06299, y=0.16814
x0=0.90448, x1=-6.03150, y=-8.18304
x0=1.22190, x1=-0.59108, y=-1.08335
x0=9.51396, x1=6.68540, y=95.40685
x0=-6.65476, x1=4.60571, y=-45.97478
x0=-4.98174, x1=-2.39889, y=17.92594
x0=-4.60881, x1=-7.47133, y=51.65092
x0=-8.39311, x1=3.97499, y=-50.04381
x0=-0.87224, x1=-9.44313, y=12.35498
x0=7.73966, x1=4.35514, y=50.56090
x0=4.34959, x1=-0.61967, y=-4.04300
x0=8.99657, x1=-3.74560, y=-50.54624
x0=-7.51756, x1=-9.91560, y=111.81174
x0=9.09484, x1=8.37777, y=114.29162
x0=-8.17111, x1=4.85476, y=-59.50317
x0=9.02674, x1=-1.03896, y=-14.06768
x0=2.96998, x1=6.84434, y=30.49131
x0=3.55520, x1=-7.15402, y=-38.15098
x0=3.67429, x1=5.34487, y=29.45790
x0=8.76840, x1=-5.15765, y=-67.83653
x0=2.56734, x1=-8.59272, y=-33.09062
x0=8.01703, x1=8.98173, y=108.01020
x0=-8.34126, x1=-4.11710, y=51.51272
x0=-3.42223, x1=-4.75150, y=24.39111
x0=1.59627, x1=4.22701, y=10.12116
x0=-0.87955, x1=3.92893, y=-5.18356
x0=-3.79596, x1=4.31619, y=-24.57613
x0=1.81371, x1=-7.14737, y=-19.44490
x0=7.28411, x1=5.26066, y=57.47883
x0=2.22569, x1=-9.77847, y=-32.64574
x0=5.33619, x1=-9.56760, y=-76.58185
x0=3.82309, x1=7.93159, y=45.48476
x0=-3.96554, x1=1.64425, y=-9.78049
x0=-3.69279, x1=2.71596, y=-15.04422
x0=-4.24480, x1=-0.00395, y=0.02518
x0=4.95065, x1=-3.94154, y=-29.26977
x0=-6.22808, x1=9.47557, y=-88.52200
x0=7.32435, x1=-4.50866, y=-49.53450
x0=-0.79499, x1=0.84515, y=-1.00782
x0=1.12102, x1=0.93416, y=1.57081
x0=9.82666, x1=-4.21457, y=-62.12267
x0=9.22196, x1=-0.96285, y=-13.31909
x0=-0.22876, x1=-9.10709, y=3.12496
x0=7.07104, x1=-2.40103, y=-25.46669
x0=6.61413, x1=-9.20521, y=-91.32661
x0=9.03109, x1=-3.92944, y=-53.23073
x0=-3.37103, x1=1.20892, y=-6.11299
x0=-3.96654, x1=4.65218, y=-27.67962
x0=-1.03044, x1=-2.29382, y=3.54547
x0=7.79806, x1=-1.60277, y=-18.74775
x0=9.00523, x1=-4.74132, y=-64.04511
x0=-6.49960, x1=-7.26402, y=70.81983
x0=-9.76683, x1=-9.84024, y=144.16191
x0=5.48229, x1=-9.80645, y=-80.64275
x0=0.58012, x1=-6.47002, y=-5.63007
x0=-8.03718, x1=6.17194, y=-74.40757
x0=-9.54410, x1=-0.80695, y=11.55243
x0=9.95187, x1=-2.65599, y=-39.64804
x0=1.80345, x1=5.16120, y=13.96194
x0=1.44519, x1=0.45822, y=0.99332
x0=8.58382, x1=-8.66076, y=-111.51356
x0=-5.87802, x1=-9.15393, y=80.71044
x0=6.90492, x1=-6.40588, y=-66.34808
x0=7.52856, x1=-5.35071, y=-60.42470
x0=-5.35709, x1=-7.79171, y=62.61136
x0=-5.19643, x1=-1.46071, y=11.38568
x0=-6.66284, x1=2.25082, y=-22.49527
x0=-8.84089, x1=-0.30776, y=4.08124
x0=9.40585, x1=-8.81261, y=-124.33512
x0=-4.04869, x1=-0.35279, y=2.14248
x0=-6.69153, x1=-9.83088, y=98.67546
x0=7.76948, x1=1.35811, y=15.82771
x0=1.52629, x1=-5.34010, y=-12.22581
x0=0.79320, x1=4.89920, y=5.82904
x0=2.54675, x1=6.54538, y=25.00421
x0=5.01860, x1=-2.49499, y=-18.78207
x0=-8.43464, x1=-3.27154, y=41.39142
x0=-4.22027, x1=-8.43303, y=53.38451
x0=2.79569, x1=4.05670, y=17.01196
x0=-5.46180, x1=-3.79025, y=31.05240
x0=4.58102, x1=3.68465, y=25.31916
x0=9.60993, x1=0.93305, y=13.44980
x0=9.98876, x1=5.21436, y=78.12745
x0=7.89697, x1=-1.77115, y=-20.98010
x0=-1.37759, x1=7.76209, y=-16.03948
x0=-8.37607, x1=7.87440, y=-98.93485
x0=-4.19377, x1=4.24344, y=-26.69402
x0=1.31615, x1=5.40165, y=10.66409
x0=3.75265, x1=-0.73061, y=-4.11260
x0=9.04850, x1=3.52285, y=47.81479
x0=-1.36460, x1=9.71787, y=-19.89154
x0=4.66885, x1=7.38696, y=51.73292
x0=1.72218, x1=2.35231, y=6.07664
x0=-3.35661, x1=-8.01565, y=40.35812
x0=-6.98861, x1=1.44661, y=-15.16474
x0=-0.16410, x1=-5.02059, y=1.23580
x0=-2.75948, x1=-4.50790, y=18.65918
x0=2.57897, x1=-3.04469, y=-11.77825
x0=2.87395, x1=0.96616, y=4.16505
x0=-3.40773, x1=-8.74575, y=44.70470
x0=-3.53410, x1=2.02358, y=-10.72730
x0=-2.59590, x1=-9.00328, y=35.05745
x0=-1.32256, x1=4.26997, y=-8.47095
x0=-2.26423, x1=1.50236, y=-5.10254
x0=8.10611, x1=0.56200, y=6.83343
x0=-5.28497, x1=-3.62513, y=28.73811
x0=1.13434, x1=2.48751, y=4.23252
x0=-5.01622, x1=2.05849, y=-15.48873
x0=-1.21812, x1=8.02255, y=-14.65864
x0=7.11223, x1=6.47277, y=69.05373
x0=-3.37667, x1=0.17789, y=-0.90101
x0=-1.32675, x1=4.85754, y=-9.66712
x0=8.62710, x1=5.44610, y=70.47602
x0=-1.14572, x1=5.07669, y=-8.72468
x0=-9.50777, x1=-5.99580, y=85.51009
x0=6.30014, x1=7.97187, y=75.33586
x0=3.34375, x1=3.79951, y=19.05692
x0=-3.31943, x1=-1.80974, y=9.01096
x0=4.17225, x1=-3.54833, y=-22.20682
x0=4.94951, x1=9.41437, y=69.89475
x0=8.30660, x1=7.31504, y=91.14474

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=-8.94611, x1=-8.19660, y=109.99145
x0=-6.93163, x1=6.96524, y=-72.42073
x0=0.17967, x1=0.01019, y=0.00275
x0=8.59348, x1=0.65929, y=8.49837
x0=-6.78033, x1=-7.30712, y=74.31701
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=5.06395, y=10.33291
x0=-4.80065, y=-1.90316
x0=4.46427, y=9.90885
x0=1.87626, y=8.99928
x0=-6.51845, y=-3.36052
x0=3.35102, y=9.27775
x0=9.02755, y=13.72397
x0=-1.73569, y=-0.06927
x0=-1.32414, y=-0.00835
x0=5.66426, y=10.79431
x0=-3.23480, y=-0.75934
x0=-0.72914, y=0.00879
x0=7.98671, y=12.77755
x0=4.03114, y=9.63390
x0=4.05647, y=9.64910
x0=-4.48902, y=-1.65648
x0=-6.99168, y=-3.78201
x0=-1.76252, y=-0.07554
x0=-0.44065, y=0.10705
x0=-8.30617, y=-4.98098
x0=-4.70958, y=-1.83033
x0=-3.15828, y=-0.71136
x0=4.62482, y=10.01802
x0=-0.68477, y=0.01454
x0=4.90359, y=10.21538
x0=9.78197, y=14.42280
x0=2.73138, y=9.06829
x0=-0.15265, y=0.51737
x0=8.75815, y=13.47680
x0=8.42506, y=13.17322
x0=-4.01485, y=-1.29664
x0=2.15245, y=9.00102
x0=-5.48211, y=-2.46451
x0=-0.54315, y=0.05187
x0=2.27723, y=9.00545
x0=-3.94449, y=-1.24510
x0=8.89318, y=13.60052
x0=-8.65785, y=-5.30722
x0=7.32429, y=12.18957
x0=-7.62125, y=-4.35175
x0=-8.98752, y=-5.61470
x0=-4.75124, y=-1.86357
x0=4.90768, y=10.21834
x0=-8.67896, y=-5.32686
x0=-0.06530, y=0.76349
x0=-7.44633, y=-4.19254
x0=1.92260, y=8.99983
x0=9.73756, y=14.38142
x0=-1.58730, y=-0.03967
x0=-5.43693, y=-2.42650
x0=6.50058, y=11.48008
x0=-4.24243, y=-1.46677
x0=8.46328, y=13.20793
x0=9.11504, y=13.80453
x0=3.14186, y=9.19262
x0=-1.68970, y=-0.05917
x0=-4.32059, y=-1.52633
x0=5.49866, y=10.66400
x0=4.25129, y=9.76981
x0=-7.82384, y=-4.53694
x0=-6.81000, y=-3.61943
x0=5.51707, y=10.67839
x0=-3.46095, y=-0.90663
x0=-4.58970, y=-1.73538
x0=-8.53632, y=-5.19426
x0=0.94222, y=7.74829
x0=-3.47090, y=-0.91329
x0=7.12411, y=12.01467
x0=4.76042, y=10.11285
x0=6.91782, y=11.83599
x0=-6.25007, y=-3.12456
x0=5.30410, y=10.51372
x0=5.45659, y=10.63124
x0=9.59711, y=14.25074
x0=4.54945, y=9.96633
x0=7.93693, y=12.73292
x0=6.05407, y=11.10872
x0=6.75190, y=11.69354
x0=6.60431, y=11.56783
x0=-5.00224, y=-2.06634
x0=7.26152, y=12.13457
x0=4.86802, y=10.18969
x0=0.72186, y=6.38741
x0=-1.14878, y=-0.00095
x0=8.27942, y=13.04124
x0=1.96631, y=8.99999
x0=0.59185, y=5.31849
x0=7.02441, y=11.92811
x0=-9.26272, y=-5.87250
x0=-1.08887, y=-0.00021
x0=3.08796, y=9.17291
x0=-6.59717, y=-3.43018
x0=4.91492, y=10.22359
x0=5.35756, y=10.55470
x0=-6.70204, y=-3.52326
x0=8.93989, y=13.64339
x0=8.60421, y=13.33621
x0=-2.53367, y=-0.36244
x0=-0.25901, y=0.30680
x0=-7.88760, y=-4.59539
x0=1.16568, y=8.51324
x0=-4.02472, y=-1.30391
x0=0.24773, y=2.38740
x0=-4.28117, y=-1.49623
x0=3.74253, y=9.46973
x0=5.37285, y=10.56646
x0=2.39834, y=9.01452
x0=-4.17409, y=-1.41515
x0=1.89956, y=8.99963
x0=-5.64695, y=-2.60404
x0=7.46207, y=12.31075
x0=-8.24478, y=-4.92424
x0=-9.75026, y=-6.33146
x0=-7.31864, y=-4.07674
x0=-6.54844, y=-3.38704
x0=-4.27684, y=-1.49293
x0=-0.12621, y=0.58412
x0=-3.82876, y=-1.16149
x0=5.46267, y=10.63597
x0=0.08905, y=1.40568
x0=4.09529, y=9.67262
x0=8.75903, y=13.47761

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=-8.64655, y=-5.29671
x0=-8.14514, y=-4.83227
x0=7.01663, y=11.92137
x0=-5.70159, y=-2.65057
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=2.85962, x1=-2.74072, y=-7.83740
x0=-6.16854, x1=0.02233, y=-0.13775
x0=7.42938, x1=-8.42610, y=-62.60065
x0=-2.09175, x1=-0.51378, y=1.07470
x0=-6.53018, x1=7.60374, y=-49.65377
x0=9.25199, x1=0.16227, y=1.50127
x0=-3.52076, x1=-4.54690, y=16.00857
x0=1.14625, x1=-0.50410, y=-0.57783
x0=4.28642, x1=-1.94915, y=-8.35486
x0=-5.15411, x1=-2.08791, y=10.76129
x0=4.51139, x1=-1.66896, y=-7.52933
x0=-2.06639, x1=-2.73862, y=5.65907
x0=8.32526, x1=-6.20152, y=-51.62925
x0=5.98537, x1=3.95186, y=23.65334
x0=1.81659, x1=-9.24807, y=-16.79993
x0=3.72163, x1=-2.29329, y=-8.53476
x0=-3.58169, x1=-1.21139, y=4.33881
x0=6.58216, x1=-5.16326, y=-33.98539
x0=7.27995, x1=5.63841, y=41.04731
x0=0.11050, x1=-4.95673, y=-0.54770
x0=5.67445, x1=2.57752, y=14.62602
x0=-3.74296, x1=-2.00877, y=7.51873
x0=1.05004, x1=4.10626, y=4.31176
x0=-5.11747, x1=-1.35094, y=6.91341
x0=5.82747, x1=-8.99377, y=-52.41091
x0=-0.70978, x1=9.09293, y=-6.45398
x0=-2.60126, x1=8.52299, y=-22.17047
x0=4.62600, x1=1.02476, y=4.74052
x0=0.21995, x1=-0.85915, y=-0.18897
x0=-5.06916, x1=-0.38873, y=1.97055
x0=4.59377, x1=-3.94566, y=-18.12544
x0=-9.30872, x1=-2.90341, y=27.02702
x0=-2.46041, x1=-0.05274, y=0.12976
x0=8.77732, x1=3.86189, y=33.89704
x0=-8.73529, x1=-3.70757, y=32.38669
x0=2.00118, x1=7.51621, y=15.04130
x0=-0.80983, x1=-3.86161, y=3.12724
x0=-4.29995, x1=-5.75119, y=24.72983
x0=9.57064, x1=-5.83207, y=-55.81659
x0=1.76680, x1=-3.75985, y=-6.64290
x0=8.38532, x1=-3.36692, y=-28.23267
x0=7.92859, x1=-9.43938, y=-74.84095
x0=-5.28754, x1=-8.08656, y=42.75804
x0=6.29241, x1=-6.12251, y=-38.52534
x0=2.14636, x1=2.83383, y=6.08240
x0=6.23175, x1=6.78236, y=42.26602
x0=-7.54673, x1=9.33172, y=-70.42403
x0=0.23185, x1=9.50041, y=2.20270
x0=-2.92475, x1=1.84352, y=-5.39183
x0=-1.48158, x1=9.95246, y=-14.74539
x0=0.85396, x1=-2.76643, y=-2.36243
x0=0.61190, x1=6.44440, y=3.94334
x0=5.19053, x1=-9.34997, y=-48.53125
x0=-4.47746, x1=1.49507, y=-6.69411
x0=-3.73002, x1=3.56144, y=-13.28422
x0=-4.33983, x1=4.93417, y=-21.41347
x0=-6.07199, x1=-8.98754, y=54.57224
x0=-1.58081, x1=9.00705, y=-14.23842
x0=-8.87399, x1=-5.32975, y=47.29618
x0=5.13993, x1=3.06258, y=15.74146
x0=0.01242, x1=4.66298, y=0.05791
x0=9.37308, x1=-3.61301, y=-33.86507
x0=-4.77403, x1=-7.79467, y=37.21200
x0=3.05584, x1=-0.21673, y=-0.66229
x0=7.84566, x1=9.61547, y=75.43970
x0=-4.52041, x1=-5.97301, y=27.00045
x0=-5.17747, x1=-0.58589, y=3.03341
x0=-7.99790, x1=-8.48158, y=67.83480
x0=3.24625, x1=7.98879, y=25.93365
x0=-2.66161, x1=6.07472, y=-16.16852
x0=-6.37708, x1=3.97449, y=-25.34563
x0=2.05393, x1=1.71412, y=3.52067
x0=8.53863, x1=3.68524, y=31.46692

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=-4.90880, x1=-7.45286, y=36.58455
x0=8.76889, x1=-3.80898, y=-33.40051
x0=-1.02554, x1=6.98471, y=-7.16309
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=-9.82902, x1=5.77254, y=-56.73840
x0=0.32108, x1=5.61880, y=1.80410
x0=0.02025, x1=-2.20364, y=-0.04461
x0=-8.12603, x1=-2.13862, y=17.37851
x0=-1.40459, x1=4.13762, y=-5.81166
x0=-4.09592, x1=-0.64326, y=2.63475
x0=0.61801, x1=4.55180, y=2.81308
x0=2.60651, x1=-0.84770, y=-2.20953
x0=1.92768, x1=-7.85954, y=-15.15072
x0=6.99536, x1=5.39575, y=37.74526
x0=6.02678, x1=-6.82792, y=-41.15034
x0=-9.83372, x1=-4.66622, y=45.88630
x0=-9.19967, x1=7.93626, y=-73.01091
x0=-8.13095, x1=0.12233, y=-0.99468
x0=5.92175, x1=-0.91208, y=-5.40113
x0=-4.07825, x1=-3.09825, y=12.63542
x0=6.83299, x1=3.15575, y=21.56318
x0=5.30587, x1=-6.17951, y=-32.78768
x0=3.54948, x1=1.15000, y=4.08189
x0=-5.45776, x1=-9.54715, y=52.10609
x0=9.44283, x1=3.91378, y=36.95720
x0=3.45096, x1=7.14741, y=24.66543
x0=-4.74315, x1=-4.19736, y=19.90869
x0=0.19922, x1=-1.52990, y=-0.30479
x0=-6.51105, x1=-9.67393, y=62.98742
x0=-8.78376, x1=5.32834, y=-46.80286
x0=-1.63966, x1=6.11006, y=-10.01843
x0=-4.84091, x1=7.20068, y=-34.85785
x0=-9.38751, x1=2.81894, y=-26.46285
x0=5.03026, x1=1.96812, y=9.90016
x0=-6.52705, x1=3.00391, y=-19.60669
x0=1.45664, x1=-3.93618, y=-5.73358
x0=-8.58806, x1=-8.69104, y=74.63916
x0=-4.84956, x1=-0.45031, y=2.18380
x0=4.23042, x1=-8.83482, y=-37.37498
x0=-6.24482, x1=-5.33796, y=33.33463
x0=-0.50198, x1=1.92100, y=-0.96430
x0=4.41742, x1=3.85089, y=17.01098
x0=6.54937, x1=-3.19095, y=-20.89871
x0=6.03087, x1=-6.85406, y=-41.33599
x0=-7.31878, x1=0.76148, y=-5.57312
x0=-0.55109, x1=1.50662, y=-0.83029
x0=-6.39221, x1=8.54398, y=-54.61486
x0=-7.78806, x1=-6.08561, y=47.39507
x0=2.72357, x1=6.80950, y=18.54616
x0=-5.61086, x1=-2.38924, y=13.40570
x0=-2.23129, x1=9.10456, y=-20.31494
x0=-0.36056, x1=6.61044, y=-2.38343
x0=-4.59246, x1=0.03443, y=-0.15813
x0=2.58473, x1=6.62757, y=17.13046
x0=9.03243, x1=3.66956, y=33.14503
x0=4.52101, x1=2.70606, y=12.23414
x0=8.86868, x1=4.23760, y=37.58195
x0=-3.77783, x1=-2.13576, y=8.06853
x0=1.58406, x1=2.66157, y=4.21608
x0=-3.90241, x1=-1.09860, y=4.28717
x0=2.78603, x1=-7.94426, y=-22.13293
x0=-9.04477, x1=-1.39208, y=12.59107
x0=-6.45690, x1=-3.55388, y=22.94702
x0=-2.80702, x1=-6.41637, y=18.01085
x0=5.98051, x1=4.37136, y=26.14298
x0=6.06764, x1=9.91010, y=60.13087
x0=-1.65860, x1=4.32658, y=-7.17609
x0=-9.32324, x1=4.47208, y=-41.69431
x0=-2.31024, x1=9.84446, y=-22.74302
x0=2.99894, x1=-5.58465, y=-16.74802
x0=-8.12411, x1=8.56407, y=-69.57552
x0=8.11973, x1=-3.21013, y=-26.06536
x0=-3.30891, x1=3.18217, y=-10.52953
x0=3.38234, x1=8.81677, y=29.82135
x0=-7.36789, x1=-6.20800, y=45.73986
x0=-2.05636, x1=-4.71237, y=9.69034
x0=8.62701, x1=9.56561, y=82.52268
x0=9.28236, x1=9.53174, y=88.47704
x0=3.96596, x1=8.52384, y=33.80520
x0=1.76794, x1=-3.07403, y=-5.43472
x0=6.64313, x1=3.37206, y=22.40104
x0=-1.98179, x1=-6.96189, y=13.79702
x0=1.29169, x1=4.44368, y=5.73986
x0=-3.61265, x1=-4.46845, y=16.14294
x0=5.18102, x1=6.80311, y=35.24706
x0=7.23462, x1=-0.74308, y=-5.37588
x0=-8.71561, x1=4.65166, y=-40.54202
x0=-3.59901, x1=-1.80013, y=6.47870
x0=-7.52239, x1=-6.86489, y=51.64036
x0=-0.45852, x1=-4.17441, y=1.91407
x0=-0.38550, x1=-9.75087, y=3.75901

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=-2.02611, x1=0.21065, y=-0.42681
x0=5.96743, x1=5.56615, y=33.21563
x0=-7.60964, x1=-1.94040, y=14.76571
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=-2.85437, x1=-6.59549, y=-0.89756
x0=-0.34755, x1=-6.44410, y=0.49641
x0=8.41775, x1=7.50561, y=-0.04932
x0=4.52058, x1=-2.77551, y=0.08690
x0=-2.06653, x1=9.10359, y=0.00668
x0=6.43635, x1=-0.32237, y=-0.22478
x0=-3.13192, x1=8.43592, y=-0.47448
x0=7.70374, x1=-2.02022, y=-0.45053
x0=-3.80602, x1=7.04095, y=-0.50461
x0=-2.03765, x1=-2.36413, y=-0.03222
x0=-1.53261, x1=0.47164, y=-0.72577
x0=2.45564, x1=-0.99337, y=-0.45342
x0=8.53250, x1=-3.07556, y=0.00760
x0=-4.37368, x1=-8.13503, y=0.16457
x0=2.71931, x1=-3.55860, y=0.16684
x0=-5.46451, x1=-2.85816, y=-0.13303
x0=-6.13540, x1=-3.96874, y=0.08836
x0=-0.67445, x1=7.78846, y=0.61874
x0=-8.73421, x1=-7.55931, y=0.40949
x0=-7.81970, x1=2.56906, y=0.20967
x0=8.72882, x1=6.24985, y=-0.50274
x0=4.72551, x1=-5.30665, y=-0.63665
x0=-8.91211, x1=-8.59376, y=0.29007
x0=6.70850, x1=-4.18745, y=0.29744
x0=-6.32826, x1=-8.32520, y=-0.03530
x0=2.75016, x1=-6.81222, y=0.80357
x0=6.63462, x1=-4.54768, y=0.32526
x0=-3.39550, x1=-9.44058, y=0.00734
x0=3.45153, x1=4.11519, y=0.41815
x0=8.33029, x1=-0.65816, y=-0.06708
x0=-1.42166, x1=4.71815, y=0.60019
x0=8.69072, x1=-9.90272, y=0.10714
x0=-7.02153, x1=-6.20150, y=-0.89385
x0=5.25479, x1=3.76618, y=-0.30712
x0=-7.03910, x1=2.88904, y=0.11411
x0=8.77628, x1=6.17955, y=-0.56227
x0=-0.84596, x1=5.73453, y=0.91909
x0=5.54696, x1=-0.06269, y=0.89273
x0=8.56726, x1=7.89848, y=-0.19402
x0=-4.18946, x1=4.42162, y=0.00060
x0=9.31911, x1=5.03609, y=-0.80164
x0=7.40519, x1=-5.50927, y=0.92024
x0=1.85908, x1=-9.16101, y=-0.04546
x0=0.95332, x1=-4.99253, y=-0.79100
x0=8.01977, x1=-7.70164, y=0.38802
x0=7.42979, x1=8.75216, y=0.32635
x0=1.00820, x1=3.12253, y=0.00951
x0=8.28781, x1=3.40764, y=0.01781
x0=9.44140, x1=0.09248, y=0.99862
x0=-6.47807, x1=-8.44586, y=-0.13548
x0=1.52493, x1=-9.02405, y=-0.15007
x0=5.18272, x1=-0.93685, y=0.88943
x0=2.51477, x1=1.39444, y=-0.45200
x0=1.61367, x1=-7.52081, y=-0.53778
x0=-8.15023, x1=3.09713, y=0.00743
x0=5.17452, x1=7.07706, y=-0.91833
x0=-1.21381, x1=7.61933, y=0.76063
x0=-7.11262, x1=0.05145, y=0.94681
x0=-7.71713, x1=-1.25037, y=0.67820
x0=-8.08965, x1=-6.64442, y=-0.41178
x0=-2.09370, x1=-6.23593, y=0.00104
x0=8.30146, x1=4.45361, y=0.06949
x0=-7.20385, x1=9.35002, y=-0.03670
x0=-1.20129, x1=-7.48435, y=0.80307
x0=-2.24914, x1=3.88831, y=-0.08390
x0=3.37133, x1=-1.65729, y=-0.63614
x0=0.37626, x1=-7.50105, y=-0.43875
x0=-0.12066, x1=7.67274, y=0.13828
x0=-9.05989, x1=-1.57836, y=-0.60152
x0=1.67178, x1=4.68932, y=-0.41397
x0=-1.59630, x1=8.88865, y=0.17999
x0=8.21423, x1=6.81058, y=0.23419
x0=8.88004, x1=-0.79605, y=0.63083
x0=9.75655, x1=5.18761, y=-0.75013
x0=2.36041, x1=5.46391, y=0.35637
x0=-3.72355, x1=8.67058, y=-0.23662
x0=8.02975, x1=8.82071, y=0.14826
x0=3.61490, x1=-0.23111, y=-0.75333
x0=8.01240, x1=-9.99663, y=-0.14688
x0=3.16069, x1=-0.12691, y=-0.99758
x0=6.32681, x1=-4.24093, y=0.03416
x0=5.12212, x1=-0.02190, y=0.98539
x0=8.33056, x1=3.93356, y=0.02718
x0=-1.37925, x1=1.39287, y=-0.67393
x0=1.00610, x1=6.49030, y=-0.99275
x0=-8.42245, x1=5.63813, y=0.06378
x0=3.24579, x1=-7.65659, y=0.76392

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=-5.27094, x1=8.44114, y=0.47158
x0=1.69409, x1=5.39827, y=-0.51062
x0=-5.65777, x1=-7.32802, y=0.69888
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=-7.54017, y=-379.37663
x0=-2.84875, y=-17.85214
x0=-2.52432, y=-12.23761
x0=-2.55260, y=-12.66900
x0=-5.01737, y=-106.15083
x0=-8.51066, y=-552.51689
x0=6.20537, y=283.66018
x0=4.72286, y=132.37332
x0=9.47981, y=951.26732
x0=-4.16984, y=-59.28562
x0=-5.76712, y=-164.31964
x0=-3.12960, y=-23.98781
x0=4.91100, y=147.47216
x0=-8.64368, y=-579.72756
x0=5.44979, y=197.01040
x0=5.87079, y=242.68046
x0=-3.50497, y=-34.27815
x0=-3.60123, y=-37.33616
x0=-3.27259, y=-27.61158
x0=2.11296, y=16.01113
x0=4.68619, y=129.55727
x0=0.25394, y=0.33481
x0=1.37274, y=5.84397
x0=4.63535, y=125.71920
x0=8.37624, y=666.22622
x0=-1.86263, y=-4.85547
x0=4.44806, y=112.23957
x0=4.34067, y=104.96652
x0=-3.95729, y=-50.26891
x0=-7.76708, y=-416.00900
x0=-2.88408, y=-18.55579
x0=-2.51829, y=-12.14702
x0=-1.07844, y=-1.16966
x0=-0.72597, y=-0.58154
x0=5.37766, y=189.81499
x0=1.11744, y=3.76139
x0=0.23574, y=0.30441
x0=-0.15772, y=-0.13677
x0=-8.91752, y=-638.53481
x0=3.70761, y=68.42010
x0=1.80078, y=10.88320
x0=-2.93080, y=-19.51555
x0=3.44891, y=56.36844
x0=5.78000, y=232.28897
x0=-6.31748, y=-218.54054
x0=-9.43650, y=-760.68597
x0=6.86733, y=377.89243
x0=-5.59031, y=-149.04466
x0=-3.89986, y=-48.00370
x0=-3.15003, y=-24.48412
x0=7.89564, y=562.45994
x0=0.25097, y=0.32977
x0=-9.04769, y=-667.83781
x0=-2.37541, y=-10.13626
x0=-1.53216, y=-2.78142
x0=-1.25268, y=-1.64918
x0=8.99389, y=817.39981
x0=7.11943, y=418.66344
x0=-4.12615, y=-57.34938
x0=6.17900, y=280.27376
x0=8.47775, y=689.66532
x0=4.49414, y=115.46063
x0=1.48302, y=6.94399
x0=4.07112, y=88.11999
x0=6.33604, y=300.84429
x0=9.89831, y=1077.67614
x0=-9.02367, y=-662.36454
x0=8.72310, y=748.57713
x0=2.62335, y=27.55913
x0=4.81777, y=139.85325
x0=0.36227, y=0.54105
x0=-5.82021, y=-169.10389
x0=-4.74613, y=-89.13062
x0=-2.14040, y=-7.36492
x0=-3.03980, y=-21.88831
x0=-3.47431, y=-33.34127
x0=-2.78733, y=-16.67349
x0=-1.84330, y=-4.70864
x0=1.17151, y=4.15179
x0=0.32122, y=0.45755
x0=1.71644, y=9.71949
x0=-8.39958, y=-530.46134
x0=9.78302, y=1041.79856
x0=8.49708, y=694.19002
x0=1.32384, y=5.39652
x0=-9.12146, y=-684.83591
x0=9.89599, y=1076.94806
x0=-8.02603, y=-460.62327

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=-0.38425, y=-0.29333
x0=7.19992, y=432.27348
x0=1.86536, y=11.83553
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=3.26917, x1=2.11916, y=0.39795
x0=8.24614, x1=6.82425, y=4.75254
x0=-0.10550, x1=9.11592, y=0.60192
x0=2.47811, x1=7.32870, y=1.85300
x0=-1.61392, x1=8.34305, y=2.81618
x0=1.64758, x1=7.69776, y=0.93080
x0=-5.83483, x1=2.57321, y=-2.19195
x0=2.01424, x1=9.68118, y=-5.24250
x0=-1.09195, x1=-7.80919, y=-0.23844
x0=5.06240, x1=8.63487, y=3.96738
x0=-1.56251, x1=-4.81361, y=-0.60628
x0=5.17259, x1=3.04771, y=5.35210
x0=2.22611, x1=-1.59156, y=-0.09879
x0=-1.54579, x1=3.86105, y=4.51156
x0=5.08347, x1=3.54940, y=5.13307
x0=6.78329, x1=3.25596, y=-2.85831
x0=-7.66538, x1=-9.52038, y=5.86669
x0=-8.16243, x1=-4.69440, y=0.10283
x0=0.00909, x1=-9.32521, y=-0.05427
x0=0.42525, x1=-9.23767, y=-2.43207
x0=4.97814, x1=-5.96207, y=-5.49344
x0=0.04895, x1=-7.82006, y=0.00996
x0=-9.26049, x1=-6.24366, y=-0.98055
x0=7.61672, x1=-7.45783, y=2.25037
x0=-0.42035, x1=4.58020, y=0.32273
x0=1.02108, x1=9.66040, y=-4.97467
x0=3.65731, x1=9.07490, y=2.77967
x0=-8.25903, x1=-9.23371, y=5.41415
x0=-7.77660, x1=8.72389, y=4.57190
x0=-6.55205, x1=4.86981, y=-0.24986
x0=-2.23397, x1=-6.53456, y=-4.57966
x0=-8.21971, x1=9.44913, y=5.60151
x0=7.34748, x1=5.62660, y=4.15581
x0=-4.67912, x1=-7.12798, y=3.98112
x0=7.28483, x1=9.49187, y=-5.04277
x0=3.66512, x1=-1.07945, y=-1.41525
x0=-8.45602, x1=1.99441, y=2.03272
x0=5.11894, x1=3.10467, y=5.50718
x0=4.26869, x1=4.46053, y=1.35043
x0=9.45990, x1=-2.39310, y=0.15437
x0=-6.44899, x1=8.93771, y=0.87510
x0=6.56268, x1=4.65714, y=-0.09140
x0=0.87946, x1=-2.21207, y=-2.76515
x0=-2.84481, x1=-5.95557, y=-1.66134
x0=-9.24301, x1=-2.44761, y=0.83374
x0=-1.04231, x1=7.21474, y=-3.09117
x0=-9.40822, x1=-6.08922, y=-0.09745
x0=-3.65236, x1=-1.14423, y=1.21355
x0=-8.99264, x1=-8.66384, y=1.81982
x0=5.49270, x1=2.27010, y=2.74479
x0=-3.16952, x1=3.25078, y=-0.16656
x0=-7.42074, x1=1.54776, y=-0.12543
x0=-6.07149, x1=-1.88160, y=-0.38556
x0=-9.18126, x1=7.87247, y=0.02675
x0=-5.67810, x1=5.49863, y=2.41540
x0=0.00300, x1=1.37792, y=0.00345
x0=1.08106, x1=9.28913, y=-5.24610
x0=4.23929, x1=-0.98883, y=-2.93574
x0=-4.07028, x1=-4.57715, y=-0.64786
x0=0.88426, x1=-1.09142, y=2.14040
x0=-3.73178, x1=0.69937, y=2.55526
x0=4.02270, x1=-7.69777, y=-0.72009
x0=9.66755, x1=-5.33686, y=-0.84332
x0=-6.32756, x1=-8.12885, y=0.07224
x0=0.96705, x1=-6.95712, y=3.85943
x0=3.66060, x1=8.22696, y=1.08447
x0=3.80678, x1=-9.06706, y=3.46881
x0=9.71061, x1=0.93323, y=-1.00700
x0=-6.07054, x1=9.96900, y=-1.08334
x0=7.09046, x1=-1.34034, y=0.99008
x0=0.66544, x1=-5.32008, y=2.11515
x0=9.70340, x1=0.13562, y=-1.63502
x0=-6.25011, x1=9.64376, y=-0.19367
x0=8.75190, x1=-3.95620, y=-2.56581
x0=7.31090, x1=0.08634, y=5.11759
x0=2.66027, x1=-6.40038, y=2.75866
x0=9.61930, x1=3.71193, y=0.97622
x0=-7.04591, x1=3.77190, y=3.34883
x0=0.64220, x1=9.31609, y=-3.57254
x0=-6.13818, x1=2.31908, y=-0.58990
x0=8.78441, x1=1.29807, y=0.96562
x0=2.10608, x1=-6.61141, y=4.88526
x0=5.90448, x1=-4.11589, y=1.24614
x0=0.37644, x1=-1.07034, y=1.05835
x0=-3.99485, x1=-1.93480, y=-1.60938
x0=3.82376, x1=5.42007, y=-2.45913
x0=4.36141, x1=3.23571, y=5.60929
x0=7.02011, x1=8.25606, y=-1.57789
x0=-1.25226, x1=8.18535, y=1.85382
x0=-4.80430, x1=-5.54616, y=4.42408
x0=7.38942, x1=-6.97546, y=4.12927
x0=0.03400, x1=-7.13509, y=0.13433
x0=4.00958, x1=5.71395, y=-3.85626
x0=-6.04410, x1=4.56470, y=-0.20909
x0=-8.39455, x1=4.33125, y=1.91366
x0=-8.82020, x1=-4.45485, y=0.86865
x0=3.81390, x1=-4.69659, y=0.05905
x0=8.05465, x1=-7.27832, y=3.20079
x0=3.53412, x1=3.55365, y=2.10306
x0=-5.72396, x1=0.59658, y=2.63330
x0=-0.77623, x1=-2.81066, y=3.97547
x0=-3.80540, x1=8.54851, y=-2.36599
x0=8.16846, x1=8.08174, y=-1.28834
x0=-9.82315, x1=-7.25141, y=1.31913
x0=-8.82740, x1=-0.02487, y=-3.37381
x0=5.36547, x1=-7.60535, y=-1.17263
x0=-4.42441, x1=2.13853, y=-3.09346
x0=-1.14716, x1=1.08577, y=-2.55010
x0=0.22867, x1=2.50070, y=-1.09021
x0=7.80047, x1=-0.76273, y=4.33149
x0=-3.54024, x1=-4.67215, y=-0.09369
x0=5.61536, x1=-5.81961, y=-3.32354
x0=-5.03434, x1=0.83743, y=3.80991
x0=0.86520, x1=8.28029, y=-1.88865
x0=-9.05296, x1=-0.10299, y=-2.16829
x0=-3.60767, x1=-7.54179, y=0.82817
x0=-1.70445, x1=-4.32529, y=2.24480
x0=0.60321, x1=6.20759, y=3.39401
x0=6.75512, x1=-2.71100, y=-2.47869
x0=-8.09642, x1=-0.24188, y=-5.65497
x0=5.81807, x1=-6.15249, y=-2.66818
x0=1.32103, x1=-4.76720, y=0.31852
x0=-9.63066, x1=7.43562, y=0.49832
x0=2.04209, x1=9.10650, y=-5.07741
x0=-3.76985, x1=-0.94573, y=2.06347
x0=6.02282, x1=2.00952, y=0.65612
x0=-3.12381, x1=-2.00337, y=0.04472
x0=-8.22277, x1=-0.08733, y=-5.57527
x0=0.64342, x1=6.90501, y=2.92585
x0=-8.96599, x1=0.11065, y=-2.64092
x0=3.33338, x1=5.33957, y=-0.67119
x0=-1.88943, x1=-3.11752, y=5.69634
x0=-2.52511, x1=2.67100, y=3.09193
x0=-1.89931, x1=4.28366, y=2.36089
x0=-9.32467, x1=-3.96394, y=0.40807
x0=-1.16215, x1=-8.02025, y=0.91125
x0=-1.19416, x1=6.45678, y=-5.49560
x0=1.04092, x1=8.88114, y=-4.43082

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=-4.31855, x1=2.23113, y=-3.39851
x0=-0.46671, x1=-7.57903, y=-0.73298
x0=7.03069, x1=9.66837, y=-3.95846
x0=6.95547, x1=-2.29966, y=-2.48871
x0=4.33733, x1=-8.01373, y=0.88810
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=2.49042, x1=-1.87163, y=-1.33062
x0=-5.49128, x1=-7.10926, y=0.77241
x0=1.23183, x1=-7.98907, y=-0.15419
x0=-9.77666, x1=7.16787, y=-1.36396
x0=9.50895, x1=-2.30768, y=-4.12056
x0=-9.50848, x1=0.82330, y=-11.54917
x0=2.48000, x1=-4.78141, y=-0.51868
x0=0.26067, x1=4.41518, y=0.05904
x0=-7.97892, x1=1.57113, y=-5.07847
x0=8.15628, x1=4.92583, y=1.65582
x0=-8.38820, x1=-0.73845, y=11.35917
x0=-3.56147, x1=-0.18432, y=19.32202
x0=6.03014, x1=1.87502, y=3.21604
x0=5.40809, x1=-5.86790, y=-0.92164
x0=-9.67735, x1=-1.78655, y=5.41680
x0=6.50299, x1=0.75499, y=8.61336
x0=7.39594, x1=7.72117, y=0.95788
x0=-4.19404, x1=-7.10785, y=0.59006
x0=-5.70012, x1=2.73237, y=-2.08614
x0=-2.08466, x1=-7.40302, y=0.28160
x0=6.00272, x1=-2.88708, y=-2.07917
x0=-9.04609, x1=7.24103, y=-1.24928
x0=-6.14962, x1=-2.63533, y=2.33353
x0=-9.19564, x1=9.28509, y=-0.99037
x0=2.86651, x1=2.17608, y=1.31728
x0=-4.74586, x1=1.74207, y=-2.72426
x0=1.25892, x1=7.36162, y=0.17101
x0=-1.54448, x1=-0.77645, y=1.98914
x0=-8.81638, x1=-8.99300, y=0.98036
x0=-6.86132, x1=-4.32351, y=1.58698
x0=-3.59552, x1=0.40493, y=-8.87933
x0=0.43918, x1=6.65714, y=0.06597
x0=8.44081, x1=4.33937, y=1.94517
x0=2.45404, x1=-1.32963, y=-1.84566
x0=7.53546, x1=6.85542, y=1.09920
x0=6.53740, x1=-9.68363, y=-0.67510
x0=1.14685, x1=-9.16664, y=-0.12511
x0=7.06434, x1=-4.51874, y=-1.56334
x0=-2.08293, x1=9.86854, y=-0.21107
x0=-5.81310, x1=-7.85584, y=0.73997
x0=-2.46322, x1=-7.02307, y=0.35073
x0=0.03665, x1=-7.32336, y=-0.00500
x0=0.73392, x1=-2.58785, y=-0.28360
x0=4.86729, x1=-7.90026, y=-0.61609
x0=4.51090, x1=2.43992, y=1.84879
x0=6.21789, x1=9.68424, y=0.64206
x0=-6.19579, x1=2.02489, y=-3.05981
x0=5.33654, x1=-2.43936, y=-2.18768
x0=6.78648, x1=-0.08517, y=-79.68116
x0=-0.78501, x1=2.33146, y=-0.33670
x0=5.06702, x1=-4.24731, y=-1.19300
x0=0.56221, x1=-3.80217, y=-0.14787
x0=-5.49377, x1=-9.29709, y=0.59091
x0=-5.11957, x1=5.30833, y=-0.96444
x0=4.77268, x1=5.08357, y=0.93884
x0=-3.08796, x1=-3.41037, y=0.90546
x0=4.98025, x1=-3.38393, y=-1.47173
x0=-1.22408, x1=-4.59515, y=0.26638
x0=0.19998, x1=-6.04913, y=-0.03306
x0=2.29995, x1=-4.73926, y=-0.48530
x0=-3.56356, x1=5.17808, y=-0.68820
x0=-3.17044, x1=-9.33990, y=0.33945
x0=-4.02541, x1=4.68847, y=-0.85858
x0=6.73446, x1=3.44739, y=1.95350
x0=-8.29566, x1=-9.07702, y=0.91392
x0=-3.42806, x1=-0.67683, y=5.06485
x0=-2.27693, x1=-2.15284, y=1.05764
x0=-7.64792, x1=-1.37752, y=5.55194
x0=-4.89503, x1=2.41553, y=-2.02648
x0=5.82362, x1=-6.04164, y=-0.96391
x0=-4.92309, x1=-3.03898, y=1.61998
x0=6.54853, x1=0.57591, y=11.37084
x0=7.29087, x1=6.73856, y=1.08196
x0=-9.47294, x1=6.00872, y=-1.57653
x0=-9.75735, x1=-0.06614, y=147.53605
x0=2.03948, x1=-5.14864, y=-0.39612
x0=6.79548, x1=8.71421, y=0.77982
x0=-0.10584, x1=1.57461, y=-0.06722
x0=-0.10606, x1=-0.04057, y=2.61445
x0=-7.33804, x1=4.11691, y=-1.78241
x0=0.47591, x1=-2.27436, y=-0.20925
x0=-8.60825, x1=-8.39252, y=1.02571
x0=9.92806, x1=-6.41314, y=-1.54808
x0=7.34489, x1=6.91508, y=1.06216
x0=7.43317, x1=-0.92322, y=-8.05135
x0=-8.18332, x1=-4.83331, y=1.69311
x0=-3.25568, x1=-7.96632, y=0.40868
x0=4.28173, x1=5.60877, y=0.76340
x0=-1.19948, x1=8.76340, y=-0.13687

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=8.42254, x1=0.05617, y=149.94365
x0=8.44083, x1=-5.39205, y=-1.56542
x0=-2.05007, x1=7.19275, y=-0.28502
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=8.65979, y=-2.19165
x0=7.41299, y=1.15611
x0=-7.09458, y=1.19164
x0=-8.11070, y=1.55919
x0=-8.40674, y=1.39467
x0=-0.52582, y=-0.02548
x0=5.15124, y=1.25725
x0=-8.91945, y=-1.29720
x0=8.15889, y=2.05744
x0=-1.60538, y=-0.29608
x0=-6.92965, y=-0.88924
x0=7.95548, y=-0.65893
x0=4.44190, y=0.47572
x0=-5.42854, y=0.70693
x0=-7.17256, y=1.90207
x0=5.38901, y=1.03826
x0=-2.04450, y=0.16926
x0=8.34310, y=2.08674
x0=9.88920, y=-1.90257
x0=4.93090, y=-0.62229
x0=-9.84897, y=-2.40156
x0=-1.72458, y=-0.51079
x0=7.21756, y=2.12044
x0=2.44445, y=0.25079
x0=-5.67329, y=-1.50810
x0=-3.22642, y=0.95733
x0=-3.89541, y=-0.71389
x0=-2.34345, y=0.58529
x0=2.58442, y=-0.39224
x0=9.74011, y=-2.91639
x0=3.61137, y=-0.69774
x0=0.65760, y=-0.16496
x0=-5.41719, y=0.80791
x0=-8.15777, y=2.04780
x0=-4.42362, y=0.61275
x0=6.67530, y=-1.78602
x0=9.87732, y=-2.06453
x0=-8.48125, y=0.29912
x0=-7.78046, y=-2.29153
x0=-9.11150, y=1.76207
x0=-7.80442, y=-2.20580
x0=-1.10266, y=0.19889
x0=0.10122, y=0.01804
x0=-8.12144, y=1.68386
x0=6.20230, y=1.77776
x0=-5.47827, y=0.22370
x0=-2.60122, y=-0.46351
x0=-2.49970, y=0.00139
x0=-1.06309, y=0.12314
x0=-9.46196, y=0.67201
x0=-5.10217, y=0.91648
x0=1.15296, y=0.28356
x0=-4.79521, y=-1.38091
x0=-4.24276, y=1.27151
x0=1.84035, y=-0.46550
x0=-5.99092, y=-0.10248
x0=6.36411, y=1.43920
x0=-6.46356, y=0.44016
x0=3.27177, y=0.97236
x0=0.50791, y=-0.00757
x0=1.45478, y=0.12233
x0=-1.31681, y=0.36074
x0=4.69351, y=-1.32030
x0=8.31672, y=2.27895
x0=-8.73929, y=-2.61585
x0=-9.52533, y=-0.45281
x0=7.68530, y=-2.11766
x0=4.83697, y=-1.23976
x0=8.29867, y=2.37411

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=-7.40424, y=1.25728
x0=7.11141, y=1.37442
x0=-0.12640, y=0.02705
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=8.18554, y=3.17305
x0=9.69585, y=3.45339
x0=5.12302, y=2.51024
x0=0.27535, y=0.58196
x0=3.25215, y=2.00003
x0=6.34029, y=2.79259
x0=6.77462, y=2.88665
x0=4.31147, y=2.30285
x0=9.48367, y=3.41539
x0=8.17231, y=3.17048
x0=5.32277, y=2.55871
x0=0.75611, y=0.96438
x0=5.43901, y=2.58650
x0=8.27961, y=3.19122
x0=7.23050, y=2.98220
x0=8.89922, y=3.30848
x0=6.28557, y=2.78051
x0=6.28017, y=2.77932
x0=9.52327, y=3.42252
x0=6.18865, y=2.75899
x0=2.04766, y=1.58702
x0=1.68372, y=1.43909
x0=9.80968, y=3.47360
x0=8.25967, y=3.18738
x0=8.96746, y=3.32114
x0=5.97785, y=2.71160
x0=6.02408, y=2.72206
x0=0.71601, y=0.93845
x0=4.56999, y=2.37088
x0=0.19327, y=0.48757
x0=0.28248, y=0.58945
x0=7.14040, y=2.96356
x0=2.55712, y=1.77349
x0=8.70377, y=3.27195
x0=5.82794, y=2.67738
x0=4.34836, y=2.31268
x0=3.20703, y=1.98611
x0=5.91743, y=2.69786
x0=5.13288, y=2.51266
x0=4.30807, y=2.30194
x0=3.05005, y=1.93689
x0=5.08460, y=2.50081
x0=0.31675, y=0.62418
x0=9.31201, y=3.38434
x0=3.72408, y=2.14024
x0=5.10668, y=2.50624
x0=4.39369, y=2.32470
x0=5.20443, y=2.53011
x0=1.07626, y=1.15057
x0=8.45970, y=3.22574
x0=5.78208, y=2.66683
x0=9.20488, y=3.36482
x0=8.39566, y=3.21351
x0=0.69187, y=0.92250
x0=6.13690, y=2.74743
x0=1.55996, y=1.38519
x0=0.26762, y=0.57373
x0=1.80599, y=1.49043
x0=8.62542, y=3.25719
x0=1.52379, y=1.36904
x0=2.59381, y=1.78617
x0=2.89272, y=1.88628
x0=6.68404, y=2.86729
x0=5.23758, y=2.53815
x0=0.77472, y=0.97617
x0=0.90243, y=1.05356
x0=7.54188, y=3.04574
x0=1.60847, y=1.40656
x0=1.74196, y=1.46376
x0=9.46212, y=3.41151
x0=3.08472, y=1.94787
x0=8.25328, y=3.18615
x0=9.33127, y=3.38784
x0=4.73709, y=2.41384
x0=9.35901, y=3.39287
x0=9.61718, y=3.43935
x0=4.26818, y=2.29126
x0=3.70904, y=2.13591
x0=1.31627, y=1.27241
x0=5.50003, y=2.60097
x0=9.20850, y=3.36548
x0=7.31254, y=2.99907
x0=5.73906, y=2.65689
x0=1.83654, y=1.50298
x0=7.45079, y=3.02729
x0=2.83456, y=1.86722
x0=6.86251, y=2.90532
x0=6.60273, y=2.84980
x0=5.91124, y=2.69645
x0=5.92744, y=2.70014
x0=9.61470, y=3.43891
x0=7.07469, y=2.94989
x0=1.64345, y=1.42178
x0=0.58408, y=0.84759
x0=8.10609, y=3.15761
x0=5.87593, y=2.68838
x0=3.28689, y=2.01069
x0=7.25729, y=2.98772
x0=8.81502, y=3.29279
x0=5.27786, y=2.54789

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=2.03522, y=1.58219
x0=5.58907, y=2.62194
x0=6.51638, y=2.83110
x0=9.42881, y=3.40550
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=9.41139, x1=1.12798, y=5.98726
x0=8.02538, x1=3.84189, y=59.22774
x0=4.98317, x1=0.17131, y=0.07312
x0=5.00028, x1=-5.39439, y=72.75281
x0=-4.24878, x1=7.99253, y=-135.70717
x0=1.29463, x1=-8.46301, y=46.36222
x0=-2.35570, x1=-1.08997, y=-1.39932
x0=1.51094, x1=-2.45721, y=4.56142
x0=-0.72662, x1=4.67481, y=-7.93972
x0=-0.29581, x1=-9.94687, y=-14.63397
x0=-3.66147, x1=-5.69641, y=-59.40570
x0=-5.17759, x1=-9.70771, y=-243.96727
x0=6.65642, x1=-9.07307, y=273.98032
x0=4.04934, x1=4.84971, y=47.61968
x0=-5.84515, x1=-6.29151, y=-115.68449
x0=-1.52681, x1=-4.46075, y=-15.19050
x0=-8.82468, x1=-7.51791, y=-249.38073
x0=3.09307, x1=-8.89378, y=122.33011
x0=-9.78604, x1=-1.74544, y=-14.90686
x0=-9.26237, x1=1.22562, y=-6.95667
x0=6.00852, x1=4.99790, y=75.04344
x0=-8.04057, x1=8.21317, y=-271.19300
x0=-5.44529, x1=-2.67737, y=-19.51679
x0=-9.15215, x1=-9.41482, y=-405.61743
x0=-5.38451, x1=-2.86949, y=-22.16789
x0=-0.45422, x1=-4.67806, y=-4.97014
x0=-3.03494, x1=9.12222, y=-126.27632
x0=0.18616, x1=3.60378, y=1.20882
x0=2.50786, x1=9.39114, y=110.58846
x0=-5.30638, x1=-2.89661, y=-22.26122
x0=-5.44760, x1=5.72519, y=-89.28024
x0=1.72944, x1=7.10292, y=43.62644
x0=9.91796, x1=8.89829, y=392.64993
x0=2.05903, x1=6.07317, y=37.97201
x0=2.94329, x1=-3.21189, y=15.18183
x0=9.26185, x1=-9.63961, y=430.31498
x0=9.81810, x1=8.45202, y=350.68624
x0=-3.62705, x1=-9.44337, y=-161.72513
x0=-4.36402, x1=-8.84778, y=-170.81489
x0=-6.52718, x1=-9.77665, y=-311.94358
x0=1.67593, x1=-1.20719, y=1.22117
x0=-5.31859, x1=6.54793, y=-114.01840
x0=0.75135, x1=7.19892, y=19.46914
x0=-9.46886, x1=-1.77698, y=-14.94980
x0=-2.17420, x1=-7.63533, y=-63.37593
x0=4.42784, x1=5.13570, y=58.39308
x0=1.06010, x1=-7.77888, y=32.07376
x0=4.02073, x1=-3.51197, y=24.79570
x0=1.27329, x1=-3.24409, y=6.70011
x0=6.31897, x1=0.52189, y=0.86055
x0=3.52042, x1=9.86398, y=171.26512
x0=5.76543, x1=3.92298, y=44.36420
x0=2.47905, x1=6.16718, y=47.14410
x0=5.48431, x1=-8.35564, y=191.44835
x0=-7.91700, x1=2.32599, y=-21.41635
x0=-9.24469, x1=-2.50123, y=-28.91800
x0=2.80625, x1=-0.81335, y=0.92822
x0=9.62092, x1=-4.08217, y=80.16208
x0=5.91308, x1=-3.88054, y=44.52131
x0=9.73991, x1=0.24542, y=0.29332
x0=9.23062, x1=-6.82488, y=214.97650
x0=6.66971, x1=5.20545, y=90.36351
x0=6.74277, x1=-7.12380, y=171.09273
x0=-6.04994, x1=-1.83362, y=-10.17050
x0=4.18017, x1=-2.28318, y=10.89541
x0=5.78242, x1=9.92718, y=284.92577
x0=3.91969, x1=1.86202, y=6.79499
x0=6.13699, x1=-1.97083, y=11.91853
x0=-7.57098, x1=3.20889, y=-38.97906
x0=0.40880, x1=-7.22302, y=10.66398
x0=-4.90283, x1=3.28161, y=-26.39919
x0=9.96708, x1=6.16698, y=189.53189
x0=4.38781, x1=-5.81857, y=74.27637
x0=-8.63672, x1=1.21308, y=-6.35470
x0=2.85026, x1=6.61294, y=62.32241
x0=8.60091, x1=-2.92775, y=36.86217
x0=-9.38162, x1=-6.88308, y=-222.23579
x0=-7.33672, x1=-0.73919, y=-2.00441
x0=4.71710, x1=3.26894, y=25.20344
x0=-3.95119, x1=-7.77946, y=-119.56307
x0=-6.64957, x1=5.60122, y=-104.31080
x0=5.03180, x1=-6.02975, y=91.47283
x0=8.01417, x1=-4.97252, y=99.07916
x0=4.61271, x1=3.79643, y=33.24125
x0=-2.79337, x1=-1.71048, y=-4.08633
x0=-2.30057, x1=-8.96604, y=-92.47118
x0=3.20954, x1=-8.66199, y=120.40578
x0=-8.38210, x1=0.65998, y=-1.82549
x0=-8.14070, x1=2.60043, y=-27.52460
x0=5.00166, x1=5.57465, y=77.71760
x0=-8.23166, x1=-9.77359, y=-393.15679
x0=5.07469, x1=6.40706, y=104.15909
x0=4.16939, x1=-8.03312, y=134.52746
x0=0.51097, x1=-5.59951, y=8.01067
x0=8.12462, x1=-2.96490, y=35.71029
x0=-3.13721, x1=-4.58925, y=-33.03673
x0=-2.33335, x1=5.81335, y=-39.42792
x0=6.55363, x1=-6.57062, y=141.47018
x0=9.52635, x1=-5.47308, y=142.67922
x0=-9.66502, x1=8.57377, y=-355.23604
x0=4.73034, x1=9.73164, y=223.99317
x0=4.36159, x1=-7.34253, y=117.57256
x0=-2.31319, x1=3.93820, y=-17.93809
x0=8.38362, x1=-0.24585, y=0.25335
x0=-8.39807, x1=7.57064, y=-240.66620
x0=8.41028, x1=-7.17584, y=216.53413
x0=-6.42598, x1=1.00905, y=-3.27143
x0=-2.14394, x1=-6.66744, y=-47.65432
x0=-2.51822, x1=-5.41950, y=-36.98120
x0=2.15496, x1=-7.77560, y=65.14454
x0=5.76281, x1=4.55050, y=59.66529
x0=4.64750, x1=-3.03953, y=21.46846
x0=3.97283, x1=3.90379, y=30.27215
x0=-8.75102, x1=-8.71175, y=-332.07717
x0=9.23388, x1=-0.80711, y=3.00759
x0=-6.50092, x1=9.24096, y=-277.57445
x0=-5.29594, x1=3.87594, y=-39.78028
x0=6.54559, x1=-9.43407, y=291.28405
x0=1.66627, x1=-1.67882, y=2.34815
x0=-6.76181, x1=-8.77911, y=-260.57589
x0=3.66284, x1=1.51770, y=4.21850
x0=9.07476, x1=2.46401, y=27.54792
x0=-7.44163, x1=9.33102, y=-323.96358
x0=4.53850, x1=3.44709, y=26.96424
x0=0.42893, x1=6.08609, y=7.94398
x0=-2.83767, x1=-7.04297, y=-70.37908
x0=-4.97309, x1=-2.96766, y=-21.89901
x0=9.72226, x1=0.61596, y=1.84437
x0=-1.86276, x1=-4.67934, y=-20.39368
x0=-6.21064, x1=-1.46827, y=-6.69453

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=0.78799, x1=2.86128, y=3.22561
x0=2.87358, x1=-8.24777, y=97.73861
x0=8.18502, x1=5.91203, y=143.04161
x0=-1.38690, x1=4.00054, y=-11.09818
x0=-2.41613, x1=7.72393, y=-72.07216
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=7.65370, x1=-4.17543, y=-5.08620
x0=5.36972, x1=-7.30047, y=-6.23912
x0=4.62771, x1=9.11915, y=6.71647
x0=-2.00080, x1=7.39578, y=-2.35509
x0=2.65094, x1=-1.57578, y=-0.66484
x0=0.64530, x1=5.43909, y=0.55861
x0=1.35404, x1=2.37213, y=0.51120
x0=0.23986, x1=8.38218, y=0.31999
x0=1.06193, x1=-7.87978, y=-1.33177
x0=4.12907, x1=-2.41321, y=-1.58587
x0=3.66593, x1=3.84578, y=2.24382
x0=5.55063, x1=-9.70366, y=-8.57232
x0=8.79585, x1=2.06816, y=2.89522
x0=2.08238, x1=6.40542, y=2.12289
x0=2.75101, x1=-7.74521, y=-3.39113
x0=3.42889, x1=-6.35708, y=-3.46922
x0=1.35338, x1=7.35507, y=1.58426
x0=-0.45439, x1=2.28378, y=-0.16516
x0=2.11227, x1=6.20298, y=2.08530
x0=-9.38632, x1=-2.33849, y=3.49342
x0=6.87433, x1=-1.95720, y=-2.14135
x0=-9.51758, x1=2.39872, y=-3.63351
x0=-6.06732, x1=-8.57507, y=8.28046
x0=7.61531, x1=-7.84763, y=-9.51144
x0=6.54339, x1=-7.61190, y=-7.92713
x0=-2.72861, x1=-3.03346, y=1.31735
x0=8.77795, x1=-2.59163, y=-3.62064
x0=-4.53338, x1=4.65854, y=-3.36118
x0=6.58815, x1=5.21480, y=5.46791
x0=-9.05889, x1=-8.97342, y=12.93759
x0=1.34165, x1=-4.23464, y=-0.90422
x0=0.08558, x1=-6.57614, y=-0.08957
x0=7.70536, x1=-5.69934, y=-6.98936
x0=3.55478, x1=2.46473, y=1.39445
x0=5.69666, x1=8.01583, y=7.26756
x0=-6.56384, x1=-2.01509, y=2.10510
x0=1.27432, x1=3.82681, y=0.77613
x0=8.93978, x1=8.90291, y=12.66715
x0=9.21583, x1=3.35054, y=4.91439
x0=6.27420, x1=1.73845, y=1.73596
x0=8.78896, x1=-6.37762, y=-8.92105
x0=1.73281, x1=8.74045, y=2.41049
x0=7.42785, x1=0.03033, y=0.03586
x0=-3.94434, x1=7.66010, y=-4.80872
x0=7.64783, x1=3.37622, y=4.10950
x0=9.25387, x1=7.82441, y=11.52378
x0=8.98697, x1=7.01203, y=10.02946
x0=5.88094, x1=-1.05400, y=-0.98652
x0=-5.39665, x1=8.47992, y=-7.28343
x0=2.75669, x1=-4.99544, y=-2.19171
x0=6.39461, x1=6.32600, y=6.43818
x0=-4.44194, x1=-6.37582, y=4.50743
x0=9.55484, x1=-7.88779, y=-11.99496
x0=-8.52251, x1=-6.56015, y=8.89819
x0=-4.51028, x1=-3.51489, y=2.52311
x0=5.73153, x1=3.40957, y=3.11021
x0=7.03134, x1=7.45465, y=8.34229
x0=-1.59311, x1=-3.65022, y=0.92552
x0=9.82323, x1=5.56071, y=8.69370
x0=6.33535, x1=-1.54577, y=-1.55861
x0=6.57085, x1=9.33626, y=9.76371
x0=4.37867, x1=-1.90599, y=-1.32826
x0=2.99323, x1=9.58847, y=4.56783
x0=4.26807, x1=4.51560, y=3.06737
x0=2.56231, x1=4.92688, y=2.00920
x0=-6.12240, x1=-2.65020, y=2.58238
x0=3.71512, x1=5.19613, y=3.07237
x0=-8.58973, x1=-3.20825, y=4.38599
x0=-8.60468, x1=-0.12565, y=0.17208
x0=0.84813, x1=3.89114, y=0.52524
x0=9.51319, x1=9.01330, y=13.64677
x0=1.78144, x1=8.45537, y=2.39731
x0=-3.34222, x1=-6.69968, y=3.56377
x0=-8.05642, x1=0.65161, y=-0.83551
x0=3.24615, x1=-5.38493, y=-2.78207
x0=-7.24072, x1=0.11518, y=-0.13273
x0=2.54325, x1=3.23822, y=1.31073
x0=0.76969, x1=-0.69353, y=-0.08496
x0=9.13268, x1=-1.52476, y=-2.21625
x0=2.15175, x1=3.93023, y=1.34596
x0=0.71426, x1=-9.78736, y=-1.11261
x0=-3.21039, x1=7.53534, y=-3.85018
x0=-5.67333, x1=-1.85932, y=1.67885
x0=-4.99124, x1=-2.20291, y=1.74995
x0=4.03114, x1=-3.76674, y=-2.41665
x0=3.25090, x1=9.81042, y=5.07588
x0=-8.55762, x1=-8.89461, y=12.11434
x0=3.40193, x1=4.61069, y=2.49638
x0=-2.85282, x1=3.68267, y=-1.67208
x0=-3.46677, x1=-6.74844, y=3.72348
x0=9.68994, x1=0.70821, y=1.09220
x0=1.61637, x1=6.69498, y=1.72231
x0=5.79523, x1=2.14937, y=1.98245
x0=8.80294, x1=1.80008, y=2.52197
x0=-7.13802, x1=6.52083, y=-7.40800
x0=-8.03151, x1=-3.91837, y=5.00867
x0=7.94946, x1=0.84103, y=1.06406
x0=1.46167, x1=9.35846, y=2.17707
x0=4.22589, x1=-8.03770, y=-5.40593
x0=-9.30582, x1=-9.66279, y=14.31124
x0=3.46790, x1=-1.00013, y=-0.55201
x0=6.42782, x1=6.18916, y=6.33163
x0=-6.61328, x1=4.44324, y=-4.67667
x0=8.65097, x1=-1.34238, y=-1.84825
x0=-4.41962, x1=2.22287, y=-1.56358
x0=-7.21652, x1=-4.96181, y=5.69886
x0=8.65954, x1=3.23092, y=4.45288
x0=6.89807, x1=-6.00257, y=-6.58999
x0=6.27272, x1=-5.39141, y=-5.38243
x0=-4.80645, x1=-3.51414, y=2.68821
x0=-2.11517, x1=5.74271, y=-1.93322
x0=0.09518, x1=-6.11242, y=-0.09259
x0=-1.84080, x1=-7.78594, y=2.28107
x0=-1.02297, x1=-8.01004, y=1.30412
x0=-4.03520, x1=-3.25045, y=2.08752
x0=7.82948, x1=8.18923, y=10.20461
x0=3.80036, x1=8.04196, y=4.86415
x0=-4.18603, x1=3.75311, y=-2.50042
x0=-3.01065, x1=8.23024, y=-3.94360
x0=0.84745, x1=6.06183, y=0.81759
x0=8.80814, x1=2.26679, y=3.17772
x0=-4.04138, x1=1.50345, y=-0.96703
x0=7.19393, x1=2.97856, y=3.41030
x0=2.06204, x1=8.31496, y=2.72883
x0=1.44851, x1=9.71283, y=2.23917
x0=-7.18466, x1=2.91030, y=-3.32785
x0=1.04821, x1=-7.63803, y=-1.27424
x0=3.98930, x1=3.77910, y=2.39941
x0=1.38200, x1=-7.62655, y=-1.67747
x0=4.82308, x1=7.76102, y=5.95750
x0=-0.91569, x1=-3.27564, y=0.47738
x0=8.23485, x1=-4.24851, y=-5.56817
x0=-6.85426, x1=-2.16370, y=2.36036

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=-4.39932, x1=-4.87719, y=3.41487
x0=3.52247, x1=2.05781, y=1.15365
x0=-7.69096, x1=9.49852, y=-11.62670
x0=-6.23948, x1=1.23728, y=-1.22868
x0=2.74777, x1=3.31203, y=1.44842
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=-3.90421, x1=-6.54133, y=319.79160
x0=-9.14718, x1=3.18343, y=7768.05711
x0=6.21427, x1=-8.32567, y=1294.29033
x0=-9.89721, x1=4.17899, y=10569.14963
x0=0.49830, x1=5.05128, y=7.64434
x0=8.54691, x1=-6.51014, y=4739.61289
x0=-0.16995, x1=-5.66371, y=21.70825
x0=-4.19860, x1=-8.48355, y=429.23918
x0=4.95806, x1=0.13169, y=482.29003
x0=-1.99278, x1=-1.10300, y=25.39508
x0=-4.76412, x1=9.71298, y=660.73345
x0=-8.52815, x1=-2.97967, y=5917.23485
x0=5.28507, x1=3.53428, y=635.28468
x0=-7.03387, x1=-7.91137, y=2835.01290
x0=4.86178, x1=9.32153, y=477.91136
x0=-1.97842, x1=9.02306, y=54.74924
x0=-8.68255, x1=2.55153, y=6338.40353
x0=8.85768, x1=-9.86045, y=5519.24394
x0=-6.05287, x1=5.22607, y=1572.47717
x0=6.81147, x1=3.22699, y=1838.55097
x0=-3.41452, x1=9.72576, y=213.30955
x0=4.82613, x1=7.83020, y=452.91215
x0=9.06607, x1=0.44129, y=6010.27436
x0=3.39217, x1=6.45614, y=107.75857
x0=0.49236, x1=3.11796, y=1.68230
x0=5.64636, x1=-8.08112, y=877.14104
x0=-7.40967, x1=4.63458, y=3427.27509
x0=0.68318, x1=4.85961, y=6.84727
x0=8.77828, x1=-3.40456, y=5270.73135
x0=-5.16464, x1=-3.85742, y=860.53249
x0=5.12047, x1=5.89290, y=564.66292
x0=-0.48808, x1=-6.05124, y=24.53302
x0=-6.47986, x1=-1.29406, y=2037.25448
x0=-0.67252, x1=-1.41455, y=2.92374
x0=-0.90608, x1=4.09555, y=5.70911
x0=-1.72361, x1=-4.23565, y=27.15252
x0=-6.96589, x1=-3.59587, y=2702.60699
x0=-5.29214, x1=5.68055, y=943.04734
x0=-8.47173, x1=0.72838, y=5758.50592
x0=-3.59472, x1=6.20470, y=226.47404
x0=3.87458, x1=-0.21850, y=167.44686
x0=3.92857, x1=-2.48279, y=183.13123
x0=8.57891, x1=-8.96447, y=4834.38950
x0=0.87188, x1=7.32071, y=19.39077
x0=9.56704, x1=6.74934, y=7517.78210
x0=6.49388, x1=-5.58276, y=1525.66536
x0=-1.75346, x1=-6.12188, y=39.70512
x0=-6.94103, x1=-6.14122, y=2680.51208
x0=5.10924, x1=4.47667, y=553.60482
x0=0.88657, x1=-6.83812, y=30.13899
x0=-0.13104, x1=-4.59701, y=15.16579
x0=-2.52722, x1=6.72257, y=72.80649
x0=-6.08111, x1=-3.36422, y=1601.41749
x0=-3.06817, x1=0.45238, y=117.15041
x0=-3.61210, x1=8.63696, y=246.02191
x0=-8.00274, x1=-4.31852, y=4627.77294
x0=-4.56732, x1=7.68931, y=552.30782
x0=0.45465, x1=3.15245, y=1.76527
x0=3.19317, x1=-0.63428, y=72.24156
x0=-9.67446, x1=-5.15746, y=9683.99137
x0=-1.48197, x1=-9.84729, y=66.41005
x0=8.55797, x1=-2.07350, y=4741.38673
x0=6.37253, x1=-7.66443, y=1427.35147
x0=-1.55143, x1=-8.27637, y=52.05303
x0=9.42812, x1=-2.24542, y=7068.03554
x0=-8.97274, x1=-9.49417, y=7258.82918
x0=2.11476, x1=-6.60403, y=38.95369
x0=-6.78197, x1=2.92605, y=2428.83825
x0=1.28371, x1=-9.84094, y=58.86310
x0=-3.38280, x1=-1.58242, y=172.49471

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=1.22784, x1=-4.48479, y=14.96320
x0=7.03725, x1=1.55222, y=2103.65944
x0=2.45430, x1=-1.40560, y=23.89345
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=3.82376, x1=5.42007, y=-2.45913
x0=-4.95978, x1=-8.47779, y=-3.39806
x0=2.25722, x1=-5.38128, y=2.87803
x0=5.05397, x1=7.07525, y=-3.97077
x0=4.79868, x1=9.56394, y=5.91988
x0=-7.74629, x1=-8.10797, y=1.49886
x0=-3.40704, x1=3.80968, y=-1.23565
x0=-1.32749, x1=-4.19752, y=2.86749
x0=0.65645, x1=-6.03006, y=3.54516
x0=-1.91046, x1=0.41062, y=-5.18693
x0=-5.42628, x1=-5.91743, y=4.23497
x0=6.85641, x1=-1.82970, y=-0.83311
x0=1.94630, x1=6.47207, y=5.48266
x0=-4.43027, x1=-0.82506, y=3.91014
x0=9.40884, x1=-9.68304, y=-0.09243
x0=7.04653, x1=2.25290, y=-2.61506
x0=-3.54232, x1=-2.72769, y=-2.14289
x0=7.50281, x1=-3.01330, y=-5.58751
x0=2.90157, x1=-4.69434, y=-0.02574
x0=-4.95874, x1=7.70091, y=0.88725
x0=0.35740, x1=-3.17588, y=-2.09782
x0=-1.67345, x1=-2.42263, y=4.49118
x0=2.24741, x1=0.31618, y=4.44628
x0=-1.54579, x1=3.86105, y=4.51156
x0=-1.03341, x1=-5.89716, y=-4.77503
x0=3.43713, x1=-3.09759, y=1.74583
x0=-3.45195, x1=3.96633, y=-1.24372
x0=-4.29535, x1=-8.80913, y=-4.47858
x0=-8.19084, x1=0.00421, y=-5.66274
x0=6.00431, x1=4.68134, y=0.05127
x0=-1.05792, x1=4.89195, y=-0.93373
x0=7.62057, x1=-6.57441, y=5.59150
x0=-6.01482, x1=-7.14949, y=1.03036
x0=-3.70008, x1=-5.18980, y=1.46087
x0=-7.23253, x1=-4.71727, y=-0.02379
x0=-5.45722, x1=3.34552, y=-4.31983
x0=-3.69433, x1=-3.86987, y=-2.35098
x0=2.10608, x1=-6.61141, y=4.88526
x0=2.87471, x1=-3.96240, y=-1.07857
x0=6.28958, x1=-2.05842, y=-0.01798
x0=6.17836, x1=-9.78359, y=0.58780
x0=-8.39994, x1=-0.23337, y=-4.98879
x0=-7.10248, x1=1.13830, y=-1.83748
x0=4.37282, x1=-1.24117, y=-1.83125
x0=9.80224, x1=-4.85840, y=-0.32175
x0=1.61969, x1=-3.03788, y=-5.96062
x0=7.43146, x1=2.81679, y=-5.18621
x0=0.94798, x1=-4.39111, y=-1.53895
x0=-5.22532, x1=-7.70644, y=0.76852
x0=-2.17438, x1=8.04780, y=0.95144
x0=-1.70928, x1=-8.22911, y=2.17729
x0=0.15679, x1=0.57779, y=0.78480
x0=-0.16682, x1=8.42536, y=0.53878
x0=-3.99014, x1=-1.90619, y=-1.48178
x0=-0.71438, x1=5.83401, y=-3.54097
x0=7.38144, x1=-6.42218, y=5.29097
x0=4.56963, x1=-8.15487, y=1.76013
x0=6.83921, x1=9.75850, y=-2.99216
x0=7.04203, x1=-1.12802, y=1.76887
x0=-2.41468, x1=-8.15051, y=1.16512
x0=3.92392, x1=-2.40268, y=3.12652
x0=-0.28764, x1=-8.69538, y=1.26906
x0=9.82658, x1=6.98166, y=-1.79700
x0=-1.80811, x1=1.54478, y=-0.15171
x0=7.14411, x1=-0.45149, y=4.09467
x0=-7.13684, x1=4.49538, y=0.97367
x0=3.98456, x1=2.64571, y=3.94013
x0=-2.40249, x1=-5.41453, y=-2.61038
x0=-0.00526, x1=3.19407, y=0.03150
x0=2.22186, x1=6.90065, y=3.89135
x0=0.06563, x1=8.57355, y=-0.25932
x0=-1.61969, x1=-0.96293, y=-3.42260
x0=2.49774, x1=-7.12045, y=2.41132
x0=-2.66254, x1=-3.35765, y=2.70135
x0=-8.86229, x1=7.89154, y=0.12013
x0=4.78061, x1=7.42305, y=-2.50046
x0=-7.83175, x1=-7.24417, y=-3.43542
x0=-5.50906, x1=0.10788, y=4.17014
x0=7.00532, x1=-7.43228, y=1.62332
x0=-6.13818, x1=2.31908, y=-0.58990
x0=-7.17159, x1=2.02498, y=2.04289
x0=0.06986, x1=2.80800, y=-0.39575
x0=8.77111, x1=-0.46234, y=3.26555
x0=7.21584, x1=-9.73236, y=-4.59307
x0=8.34756, x1=5.59210, y=4.07152
x0=-2.81823, x1=-1.91036, y=0.63502
x0=-7.93178, x1=-2.86768, y=5.75884
x0=9.70362, x1=8.38695, y=0.83909
x0=-4.09671, x1=5.28137, y=2.63907
x0=-3.56866, x1=-4.01503, y=-1.59600
x0=1.98477, x1=1.65758, y=-0.47612
x0=2.00694, x1=-6.57407, y=5.20987
x0=4.42554, x1=3.28048, y=5.69943
x0=-9.93956, x1=3.00914, y=-2.92820
x0=3.95510, x1=-9.76196, y=4.11470
x0=-9.05880, x1=-4.48800, y=0.47776
x0=-7.77787, x1=-8.56902, y=3.92250
x0=-2.34650, x1=-3.26998, y=4.24832
x0=2.03945, x1=8.80511, y=-4.35778

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=9.69062, x1=-3.54693, y=1.44860
x0=9.75469, x1=-9.80499, y=1.80493
x0=8.81050, x1=1.06181, y=1.68518
x0=0.02737, x1=-7.02267, y=0.12130
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=5.50094, x1=6.77684, y=126.31682
x0=-6.36590, x1=-1.98178, y=-12.50094
x0=0.83389, x1=-9.05365, y=34.17658
x0=-4.45475, x1=5.25639, y=-61.54166
x0=9.48949, x1=6.57840, y=205.33038
x0=-9.61195, x1=3.84499, y=-71.05110
x0=2.29793, x1=-4.82353, y=26.73232
x0=-5.33830, x1=-6.03153, y=-97.10181
x0=6.33850, x1=-3.79873, y=45.73328
x0=-9.46526, x1=0.42355, y=-0.84900
x0=7.57342, x1=-2.06585, y=16.16061
x0=-7.91700, x1=2.32599, y=-21.41635
x0=4.70279, x1=5.56170, y=72.73469
x0=-4.36323, x1=6.97715, y=-106.20247
x0=3.59755, x1=-2.20573, y=8.75149
x0=4.65079, x1=5.96138, y=82.63991
x0=-3.82923, x1=-4.39999, y=-37.06669
x0=-8.70058, x1=-8.28697, y=-298.75120
x0=3.66724, x1=-1.86906, y=6.40556
x0=-2.97762, x1=-5.64842, y=-47.49997
x0=2.27964, x1=-5.92689, y=40.03965
x0=-7.73550, x1=-5.19388, y=-104.33780
x0=5.96696, x1=6.47505, y=125.08595
x0=7.98625, x1=-0.26192, y=0.27393
x0=2.93327, x1=-7.94036, y=92.47050
x0=-0.17494, x1=5.39105, y=-2.54214
x0=0.72853, x1=-4.34514, y=6.87738
x0=-0.54836, x1=2.35399, y=-1.51932
x0=-2.54205, x1=3.70421, y=-17.43997
x0=8.62921, x1=6.45610, y=179.83784
x0=-7.40622, x1=-4.79610, y=-85.18103
x0=-0.41460, x1=2.68825, y=-1.49808
x0=7.55197, x1=7.18356, y=194.85432
x0=7.82822, x1=4.95956, y=96.27621
x0=5.34205, x1=-1.60278, y=6.86164
x0=-8.24498, x1=-8.40088, y=-290.94366
x0=7.64577, x1=9.56844, y=350.00460
x0=5.29993, x1=3.89466, y=40.19562
x0=-3.45296, x1=6.23538, y=-67.12547
x0=-5.72499, x1=-6.67753, y=-127.63687
x0=0.63504, x1=6.22260, y=12.29452
x0=0.80325, x1=-5.31994, y=11.36675
x0=-7.22826, x1=-1.60877, y=-9.35384
x0=-2.83767, x1=-7.04297, y=-70.37908
x0=9.04890, x1=-6.07274, y=166.85371
x0=8.56526, x1=8.20443, y=288.27526
x0=-6.95063, x1=-5.43655, y=-102.71678
x0=-7.04142, x1=-5.92765, y=-123.70738
x0=3.86833, x1=8.35395, y=134.98220
x0=9.65333, x1=1.93826, y=18.13304
x0=-8.05887, x1=-1.60726, y=-10.40914
x0=0.35386, x1=2.34847, y=0.97583
x0=9.53841, x1=-2.79888, y=37.36077
x0=4.00754, x1=6.86957, y=94.55995
x0=9.22564, x1=-8.38325, y=324.18346
x0=7.24135, x1=-7.21832, y=188.65191
x0=4.79335, x1=3.50747, y=29.48476
x0=6.94392, x1=-9.40247, y=306.94383
x0=1.17560, x1=-4.19384, y=10.33837
x0=1.05088, x1=-5.51300, y=15.96977
x0=9.67468, x1=-0.73327, y=2.60098
x0=6.46500, x1=1.29976, y=5.46092
x0=9.80147, x1=-6.15111, y=185.42523
x0=0.69942, x1=-4.02395, y=5.66252
x0=8.93196, x1=1.85563, y=15.37795
x0=6.26405, x1=3.43022, y=36.85271
x0=5.71927, x1=-2.00193, y=11.46068
x0=5.88968, x1=1.46068, y=6.28306
x0=2.88517, x1=-1.17238, y=1.98280
x0=-4.20816, x1=0.12572, y=-0.03326
x0=2.87477, x1=3.11416, y=13.93974
x0=-1.06364, x1=9.84910, y=-51.58900
x0=8.60091, x1=-2.92775, y=36.86217
x0=8.48861, x1=-7.46833, y=236.73029
x0=7.81216, x1=6.40925, y=160.45575
x0=8.61689, x1=5.10219, y=112.15885
x0=-7.54993, x1=9.35864, y=-330.62699
x0=-6.51709, x1=-7.23315, y=-170.48209
x0=-2.75043, x1=7.98501, y=-87.68408
x0=2.46505, x1=-7.58492, y=70.90850
x0=5.60045, x1=-8.58849, y=206.55058
x0=1.99790, x1=0.34111, y=0.11623
x0=9.92515, x1=-4.63381, y=106.55725
x0=8.27817, x1=8.10579, y=271.95347

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=6.74277, x1=-7.12380, y=171.09273
x0=9.75876, x1=0.92018, y=4.13152
x0=6.09187, x1=9.40914, y=269.66214
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=6.99181, x1=7.09286, y=0.45408
x0=-4.39762, x1=-4.79324, y=0.08666
x0=6.85921, x1=-1.96064, y=-0.36960
x0=-9.86572, x1=-7.29421, y=-0.27205
x0=8.98342, x1=-4.62268, y=0.13900
x0=7.02423, x1=-6.37527, y=0.57574
x0=-5.81749, x1=-0.42143, y=-1.74815
x0=5.83551, x1=1.19338, y=0.71077
x0=0.33489, x1=-5.50059, y=0.59809
x0=9.20626, x1=3.00304, y=1.11557
x0=-1.85438, x1=-0.34328, y=-1.25719
x0=-3.47684, x1=-9.89503, y=-1.74998
x0=-9.46907, x1=0.21872, y=0.49546
x0=3.39613, x1=8.71442, y=1.44969
x0=-6.44256, x1=-8.66575, y=1.25825
x0=-7.93788, x1=-5.06972, y=0.54557
x0=9.21369, x1=-7.14323, y=-0.72440
x0=2.99548, x1=-3.57655, y=1.23970
x0=7.86179, x1=-1.14827, y=-0.58578
x0=-7.48891, x1=-9.17014, y=-0.59193
x0=7.69377, x1=3.03395, y=1.08491
x0=-1.25439, x1=5.57884, y=-1.52134
x0=-9.88058, x1=0.05879, y=-0.54864
x0=1.02387, x1=6.69924, y=1.77705
x0=5.09827, x1=5.82922, y=0.60714
x0=-8.89598, x1=0.22755, y=1.64123
x0=-8.88298, x1=6.77020, y=1.50467
x0=2.33927, x1=3.28441, y=-0.19870
x0=-3.46264, x1=-9.97320, y=-1.66886
x0=-5.18787, x1=2.55957, y=0.74327
x0=4.88417, x1=-1.00491, y=0.07097
x0=8.18435, x1=6.11949, y=-1.84960
x0=-5.94215, x1=-6.45902, y=-1.95275
x0=-5.52888, x1=5.92901, y=-1.47448
x0=-7.76154, x1=-0.26566, y=1.19117
x0=-1.47525, x1=-2.24796, y=1.17847
x0=7.69642, x1=3.05030, y=1.09242
x0=9.59467, x1=5.19656, y=-0.08674
x0=-9.43366, x1=-2.54191, y=-0.49204
x0=1.44985, x1=8.23784, y=-0.71238
x0=5.32737, x1=4.71762, y=0.00626
x0=-4.95453, x1=-4.92122, y=-0.06512
x0=-7.04852, x1=-7.19624, y=-0.31633
x0=1.33610, x1=8.87567, y=-1.68250
x0=-4.43667, x1=-2.41995, y=-0.74018
x0=-9.74058, x1=5.41872, y=-0.12493
x0=8.77794, x1=-8.78777, y=1.47079
x0=-4.84417, x1=-4.58095, y=0.00373
x0=4.39239, x1=8.27537, y=0.44356
x0=-8.90909, x1=-0.83359, y=1.11996
x0=-5.31551, x1=8.97705, y=1.05774
x0=-3.09650, x1=-1.88873, y=-0.48340
x0=8.29208, x1=-7.24921, y=-1.11075
x0=-8.73410, x1=-4.32853, y=-0.70132
x0=4.16513, x1=4.64146, y=0.10820
x0=-6.69101, x1=-7.53024, y=-0.42261
x0=4.05792, x1=-5.53932, y=-1.24464
x0=8.76828, x1=-1.47664, y=-0.17296
x0=7.75422, x1=6.89667, y=-0.99707
x0=-1.52714, x1=6.91066, y=-1.48193
x0=-3.98257, x1=7.96113, y=-0.19119
x0=-1.95555, x1=2.70506, y=1.02246
x0=-1.14448, x1=-0.19252, y=-1.95630
x0=-0.30785, x1=-0.17022, y=-0.76795
x0=-3.65648, x1=-1.68551, y=-0.22873
x0=4.77317, x1=9.98504, y=0.13213
x0=8.98373, x1=0.03983, y=-1.54979
x0=-2.12699, x1=-1.51297, y=-0.04250
x0=-5.41201, x1=6.36577, y=-1.36217
x0=9.64022, x1=1.67349, y=0.00699
x0=-2.54982, x1=-5.12749, y=0.13898
x0=4.98241, x1=-1.66701, y=-0.03703
x0=4.00200, x1=-7.46979, y=-0.66134
x0=-1.91577, x1=9.04224, y=1.12451
x0=9.10079, x1=8.64966, y=0.95842
x0=-6.88331, x1=6.16294, y=-0.91067
x0=-9.21299, x1=-1.96352, y=-0.42552
x0=-0.62738, x1=3.06176, y=1.45163
x0=4.96228, x1=2.95859, y=-0.32842
x0=3.61219, x1=3.63607, y=1.76019
x0=-9.32565, x1=0.01607, y=0.85723
x0=1.61517, x1=-7.25220, y=0.97750
x0=5.62330, x1=-7.45581, y=0.66365
x0=-2.42964, x1=1.15994, y=0.01353
x0=2.56602, x1=2.75036, y=0.35687
x0=5.40016, x1=-1.93219, y=-0.47527
x0=4.67471, x1=3.50536, y=0.38245

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=-2.24857, x1=-4.04455, y=0.26842
x0=8.19602, x1=-7.74157, y=-0.21145
x0=-5.11685, x1=-6.89377, y=-0.59059
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=3.99573, x1=-7.53140, y=-1.72804
x0=3.61068, x1=-6.10624, y=-1.64068
x0=-1.68943, x1=0.52144, y=0.31903
x0=1.08003, x1=0.07173, y=1.07953
x0=0.44398, x1=-4.21590, y=-0.15262
x0=2.59369, x1=1.24189, y=-42.71057
x0=-1.95643, x1=3.71848, y=-1.12408
x0=-0.18299, x1=7.14885, y=0.08905
x0=3.46824, x1=-9.25689, y=-1.74363
x0=4.19181, x1=-6.58412, y=-1.70588
x0=7.47436, x1=-3.26800, y=-1.67185
x0=-6.61651, x1=4.02702, y=-1.69641
x0=3.57019, x1=-7.81266, y=-1.70867
x0=-9.49072, x1=8.06927, y=-1.88691
x0=-7.51246, x1=-4.42679, y=-2.29746
x0=4.47320, x1=-9.17149, y=-1.79557
x0=-1.02261, x1=4.93382, y=-0.88134
x0=-4.66642, x1=6.14151, y=-1.71572
x0=8.61090, x1=5.89896, y=-2.18830
x0=-5.79324, x1=2.47330, y=-1.48062
x0=6.38301, x1=7.70000, y=-2.19502
x0=2.04698, x1=-9.78160, y=-1.60908
x0=-4.62639, x1=-8.32317, y=-2.25348
x0=-2.05894, x1=8.80818, y=-1.57418
x0=-0.33900, x1=-7.09969, y=13.17122
x0=4.35133, x1=7.20100, y=-2.31764
x0=4.20287, x1=7.83019, y=-2.30091
x0=-8.62376, x1=2.61441, y=-1.64770
x0=-2.42699, x1=-8.45466, y=-2.51372
x0=6.93124, x1=2.98108, y=-2.50955
x0=3.67265, x1=5.40919, y=-2.53362
x0=3.35092, x1=6.60356, y=-2.47051
x0=2.68765, x1=-9.32683, y=-1.67934
x0=-7.25059, x1=-8.90885, y=-2.14612
x0=5.22786, x1=1.91532, y=-3.28333
x0=-4.10561, x1=-7.72931, y=-2.31322
x0=-1.49986, x1=-8.51965, y=-2.92041
x0=2.35789, x1=-6.47467, y=-1.50730
x0=-7.39157, x1=5.94518, y=-1.80828
x0=7.82909, x1=7.58811, y=-2.15955
x0=-8.72592, x1=0.64749, y=-0.95953
x0=-4.99414, x1=-0.57775, y=76.49524
x0=-3.17785, x1=9.21275, y=-1.72116
x0=9.33117, x1=-9.24987, y=-1.89923
x0=3.90182, x1=0.29203, y=2.83730
x0=-6.41175, x1=-7.36638, y=-2.20348
x0=-1.06353, x1=2.96393, y=-0.53711
x0=3.39291, x1=-4.93168, y=-1.54391
x0=-6.61450, x1=5.97738, y=-1.78842
x0=-9.03638, x1=4.73914, y=-1.80360
x0=-1.54860, x1=7.68073, y=-1.39575
x0=5.11321, x1=-6.16371, y=-1.73925
x0=1.42375, x1=8.84112, y=-2.93871
x0=-3.43416, x1=7.16329, y=-1.67391
x0=6.06821, x1=2.89843, y=-2.61693
x0=-2.30327, x1=-2.89695, y=-4.45067
x0=-2.28338, x1=-1.59584, y=-15.97730
x0=5.56905, x1=-4.81496, y=-1.69814
x0=9.06894, x1=4.72083, y=-2.22606
x0=-8.46162, x1=5.94451, y=-1.83114
x0=5.87410, x1=-3.37434, y=-1.60563
x0=-9.04915, x1=-6.62160, y=-2.15812
x0=8.27715, x1=6.36090, y=-2.18127
x0=5.96034, x1=-1.49457, y=-1.24422
x0=3.41599, x1=-0.29784, y=0.24025
x0=-3.06508, x1=6.98840, y=-1.63145
x0=-8.27563, x1=-5.61447, y=-2.20707
x0=7.94372, x1=0.05569, y=1.51891
x0=-5.42319, x1=0.27418, y=0.00583
x0=5.73784, x1=6.71468, y=-2.25332
x0=6.28270, x1=-1.56030, y=-1.29704
x0=-2.01980, x1=5.57997, y=-1.36932
x0=6.44339, x1=-1.54198, y=-1.30425
x0=-2.60610, x1=-6.98422, y=-2.59204
x0=-3.39247, x1=0.44160, y=0.00084
x0=-7.07889, x1=-4.93026, y=-2.28212
x0=-9.26153, x1=-3.37738, y=-2.31825
x0=-8.47644, x1=-3.15979, y=-2.37841
x0=8.13245, x1=-8.50611, y=-1.87530
x0=4.69884, x1=6.82872, y=-2.30942
x0=3.28287, x1=-2.48156, y=-1.19258
x0=7.63431, x1=4.90466, y=-2.26130
x0=-1.27455, x1=-0.93037, y=2.96086
x0=-3.97024, x1=7.32623, y=-1.71951
x0=7.22595, x1=8.23141, y=-2.15935
x0=-0.38437, x1=-9.24964, y=-18.20723
x0=-6.61026, x1=-3.32568, y=-2.47409
x0=0.02549, x1=5.54806, y=1.14844
x0=-8.47420, x1=2.32835, y=-1.60406
x0=9.46852, x1=1.80937, y=-2.63685
x0=1.40470, x1=-3.06058, y=-0.76699
x0=-0.02453, x1=-9.14102, y=1.24238
x0=-6.45318, x1=9.25084, y=-1.85645

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=3.40579, x1=4.69581, y=-2.69268
x0=-8.39975, x1=-9.31557, y=-2.11960
x0=-3.84012, x1=9.06580, y=-1.76199
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=-4.10568, y=-206.18612
x0=-3.24872, y=-99.64307
x0=4.39706, y=337.00949
x0=5.42930, y=614.69634
x0=-4.54595, y=-282.75502
x0=-1.74189, y=-14.58495
x0=-5.33090, y=-462.81483
x0=-8.12520, y=-1692.95533
x0=-4.00702, y=-191.19797
x0=-6.58448, y=-887.56113
x0=-9.87605, y=-3076.29718
x0=-0.85156, y=-2.07181
x0=-9.99729, y=-3193.15907
x0=-8.55137, y=-1980.05346
x0=3.88271, y=237.29983
x0=6.34462, y=962.43113
x0=1.11015, y=9.22696
x0=1.28640, y=13.01460
x0=-6.38136, y=-805.95383
x0=5.13588, y=524.30609
x0=8.17076, y=2005.28807
x0=0.59350, y=2.51190
x0=-4.08386, y=-202.80548
x0=4.19516, y=295.06860
x0=1.19981, y=11.04259
x0=-0.64611, y=-1.17943
x0=2.90952, y=106.62080
x0=2.21806, y=51.37120
x0=5.44977, y=621.36324
x0=3.48867, y=175.95176
x0=6.17383, y=889.53819
x0=-7.95266, y=-1585.12844
x0=-2.74787, y=-59.22136
x0=5.98193, y=812.15384
x0=-4.97764, y=-374.42408
x0=9.26051, y=2890.46959
x0=-5.61180, y=-542.33373
x0=4.76575, y=423.57070
x0=-7.49229, y=-1320.08184
x0=3.12178, y=129.35186
x0=3.57347, y=188.12538
x0=-9.82771, y=-3030.51554
x0=-3.67368, y=-146.00340
x0=-4.63955, y=-301.17876
x0=-7.45996, y=-1302.67227
x0=9.87805, y=3491.92392
x0=-6.88644, y=-1018.81537
x0=-4.71513, y=-316.62980
x0=-4.13386, y=-210.60926
x0=-9.74937, y=-2957.29447
x0=-0.31205, y=-0.45202
x0=2.25769, y=53.83621
x0=1.01029, y=7.45790
x0=0.21502, y=0.51444
x0=3.26597, y=146.52261
x0=-5.25476, y=-442.69343
x0=7.51429, y=1571.42655
x0=8.20524, y=2030.06195
x0=-8.28121, y=-1794.57506
x0=-3.67163, y=-145.74969
x0=-2.57861, y=-48.61752
x0=8.83444, y=2518.60268
x0=7.85766, y=1789.55071
x0=-2.89383, y=-69.54947
x0=0.87919, y=5.50748
x0=9.31997, y=2945.10774
x0=-6.09311, y=-699.00054
x0=1.71211, y=26.27551
x0=8.10219, y=1956.63675
x0=5.28445, y=568.87317
x0=-5.37921, y=-475.89295
x0=0.10327, y=0.21017
x0=-3.29910, y=-104.52539
x0=-3.23732, y=-98.55956
x0=7.74982, y=1719.00370
x0=-0.34146, y=-0.49559
x0=9.78069, y=3392.03374
x0=-5.62515, y=-546.32630
x0=7.15645, y=1363.80408
x0=-4.46294, y=-267.06261
x0=7.18039, y=1377.08510
x0=-9.66409, y=-2878.93250
x0=-9.16281, y=-2446.18823
x0=6.20960, y=904.49016
x0=-4.63677, y=-300.62029
x0=4.21746, y=299.51963
x0=-5.33250, y=-463.24185
x0=-9.19278, y=-2470.75006
x0=0.93990, y=6.36071
x0=-5.44270, y=-493.45234
x0=-9.57952, y=-2802.60841
x0=-0.03559, y=-0.06081
x0=6.56663, y=1063.00853
x0=-1.56038, y=-10.49507
x0=-4.90369, y=-357.48142
x0=-8.13356, y=-1698.29763
x0=1.46335, y=17.76745
x0=9.69877, y=3309.47048
x0=4.45715, y=350.22289
x0=-6.35832, y=-797.02952
x0=1.51154, y=19.24172
x0=3.70231, y=207.68529
x0=-3.87178, y=-171.86965
x0=3.35751, y=158.18263
x0=-5.57898, y=-532.60631
x0=-0.42198, y=-0.62834
x0=0.18522, y=0.42397
x0=6.50648, y=1035.09672
x0=1.39533, y=15.82050
x0=-9.76816, y=-2974.74749
x0=-7.51675, y=-1333.35718
x0=-0.35312, y=-0.51347
x0=0.66490, y=3.11724
x0=3.39369, y=162.95729
x0=-1.58445, y=-10.98253
x0=-8.35617, y=-1844.82100
x0=-6.57385, y=-883.15826
x0=-7.05908, y=-1099.38640
x0=7.41590, y=1512.37365
x0=4.08329, y=273.41271
x0=-8.46457, y=-1919.12701
x0=4.16519, y=289.15817
x0=-1.38442, y=-7.39615
x0=2.18503, y=49.37570
x0=-1.86131, y=-17.82869
x0=2.90837, y=106.50533
x0=2.19407, y=49.91646
x0=8.15005, y=1990.51455
x0=-0.03283, y=-0.05628
x0=5.60367, y=673.05267
x0=-9.35616, y=-2607.54481

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=8.05080, y=1920.69462
x0=-3.32725, y=-107.32204
x0=-8.12343, y=-1691.82570
x0=4.21132, y=298.29027
x0=-9.52050, y=-2750.14454
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=-0.15335, y=-0.13344
x0=0.42213, y=0.67555
x0=-6.28043, y=-214.56046
x0=8.47775, y=689.66532
x0=-6.20136, y=-206.22960
x0=2.55943, y=25.87604
x0=-2.90363, y=-18.95325
x0=9.56396, y=975.84273
x0=0.01338, y=0.01356
x0=-6.58866, y=-249.19512
x0=0.73676, y=1.67950
x0=-5.21385, y=-119.76400
x0=4.72043, y=132.18602
x0=-8.69788, y=-591.06574
x0=5.56362, y=208.73305
x0=-4.61503, y=-81.60983
x0=-0.34273, y=-0.26552
x0=-6.30564, y=-217.26395
x0=-3.55880, y=-35.96630
x0=-1.33195, y=-1.92086
x0=6.91788, y=385.84387
x0=8.73464, y=751.42904
x0=-6.23992, y=-210.26509
x0=-1.65989, y=-3.47807
x0=-6.61779, y=-252.64923
x0=-2.88726, y=-18.62003
x0=2.58694, y=26.59157
x0=5.62127, y=214.84435
x0=9.47061, y=948.60391
x0=-0.22720, y=-0.18731
x0=-7.50663, y=-374.15117
x0=4.65114, y=126.90313
x0=9.74791, y=1031.03370
x0=8.52950, y=701.82379
x0=-5.35802, y=-130.46988
x0=8.72990, y=750.25629
x0=5.05235, y=159.54584
x0=1.58107, y=8.03315
x0=7.11943, y=418.66344
x0=-2.50931, y=-12.01286
x0=-5.22643, y=-120.67413
x0=-4.60389, y=-80.99105
x0=2.45927, y=23.38103
x0=-9.63082, y=-810.16179
x0=-2.24490, y=-8.51868
x0=8.56335, y=709.85190
x0=-1.29129, y=-1.77700
x0=0.08301, y=0.09047
x0=-3.52494, y=-34.89790
x0=6.31478, y=298.00235
x0=-1.15002, y=-1.34844
x0=6.26840, y=291.86409
x0=5.46676, y=198.72932
x0=-9.43748, y=-760.93116
x0=-8.61837, y=-574.48200
x0=-8.59034, y=-568.71075
x0=1.05116, y=3.31757
x0=-8.86794, y=-627.60551
x0=-9.39408, y=-750.16185
x0=-8.93886, y=-643.27946
x0=-7.66129, y=-398.64811
x0=4.82271, y=140.25003
x0=2.28383, y=19.41186
x0=9.03396, y=827.92996
x0=-4.69072, y=-85.89686
x0=-5.83163, y=-170.14504
x0=-1.23201, y=-1.58415
x0=3.50459, y=58.83064
x0=8.52829, y=701.53706
x0=-2.73237, y=-15.66593
x0=-2.50666, y=-11.97352
x0=-0.27558, y=-0.22057
x0=3.85124, y=75.80499
x0=8.13335, y=612.31622
x0=-0.81433, y=-0.69121
x0=-7.52977, y=-377.75145
x0=-5.22822, y=-120.80339
x0=-5.00437, y=-105.28847
x0=4.25756, y=99.56019
x0=-7.70860, y=-406.34975
x0=6.39980, y=309.47734
x0=-3.31669, y=-28.80121
x0=-5.74368, y=-162.23707
x0=-2.37541, y=-10.13626
x0=-0.57877, y=-0.43767
x0=-6.35003, y=-222.07831
x0=3.93267, y=80.22055
x0=-3.19107, y=-25.50263
x0=1.40366, y=6.13950

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=6.83304, y=372.56115
x0=1.98483, y=13.74373
x0=3.01571, y=39.53653
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=6.96605, y=1.94105
x0=8.20105, y=2.10426
x0=6.30342, y=1.84109
x0=9.84351, y=2.28681
x0=7.15107, y=1.96726
x0=4.91183, y=1.59165
x0=2.97066, y=1.08879
x0=8.30361, y=2.11669
x0=5.37357, y=1.68149
x0=7.77484, y=2.05089
x0=0.46804, y=-0.75919
x0=0.31354, y=-1.15983
x0=4.53769, y=1.51242
x0=1.51023, y=0.41226
x0=3.50600, y=1.25448
x0=5.70381, y=1.74113
x0=5.71334, y=1.74280
x0=5.50889, y=1.70636
x0=6.64477, y=1.89383
x0=1.92259, y=0.65367
x0=0.12812, y=-2.05478
x0=9.63922, y=2.26584
x0=3.33909, y=1.20570
x0=0.25034, y=-1.38494
x0=4.97593, y=1.60461
x0=2.02553, y=0.70583
x0=0.74846, y=-0.28974
x0=5.15016, y=1.63903
x0=5.00413, y=1.61026
x0=0.27457, y=-1.29255
x0=4.48595, y=1.50095
x0=7.90237, y=2.06716
x0=0.39403, y=-0.93132
x0=8.01770, y=2.08165
x0=3.90748, y=1.36289
x0=1.91804, y=0.65130
x0=5.66550, y=1.73440
x0=8.84998, y=2.18042
x0=6.46237, y=1.86600
x0=8.39656, y=2.12782
x0=5.65671, y=1.73284
x0=0.45125, y=-0.79574
x0=9.23766, y=2.22329
x0=2.89818, y=1.06408
x0=2.83951, y=1.04363
x0=3.64385, y=1.29304
x0=7.10497, y=1.96079
x0=6.35107, y=1.84862
x0=1.88171, y=0.63218
x0=0.19124, y=-1.65424
x0=1.88282, y=0.63277
x0=6.15720, y=1.81762
x0=7.39238, y=2.00045
x0=7.05212, y=1.95333
x0=9.28964, y=2.22890
x0=3.04122, y=1.11226
x0=1.17064, y=0.15755
x0=7.96127, y=2.07459
x0=8.98820, y=2.19591
x0=9.99978, y=2.30256
x0=0.66165, y=-0.41302
x0=6.95301, y=1.93917
x0=9.60531, y=2.26232
x0=3.43423, y=1.23379
x0=8.81966, y=2.17698
x0=5.73406, y=1.74642
x0=1.08216, y=0.07896
x0=2.84814, y=1.04667
x0=2.67387, y=0.98353
x0=3.24665, y=1.17762
x0=3.52303, y=1.25932
x0=1.73254, y=0.54959
x0=3.17138, y=1.15417
x0=1.65785, y=0.50552
x0=8.12555, y=2.09501
x0=2.05137, y=0.71851
x0=0.86321, y=-0.14709
x0=0.71730, y=-0.33227
x0=4.93094, y=1.59553
x0=6.31933, y=1.84361
x0=5.54333, y=1.71260
x0=0.74669, y=-0.29211
x0=4.07966, y=1.40601
x0=6.65960, y=1.89606
x0=1.01367, y=0.01358
x0=3.63838, y=1.29154
x0=4.85598, y=1.58021
x0=3.58903, y=1.27788
x0=3.21090, y=1.16655
x0=4.10746, y=1.41280
x0=5.65581, y=1.73268
x0=0.07859, y=-2.54356
x0=8.95749, y=2.19249
x0=4.41082, y=1.48406
x0=0.04863, y=-3.02360
x0=1.77479, y=0.57368
x0=9.78051, y=2.28039
x0=8.33199, y=2.12010
x0=6.11183, y=1.81023
x0=7.08984, y=1.95866
x0=6.66781, y=1.89729
x0=5.32756, y=1.67289
x0=3.76308, y=1.32524
x0=8.70833, y=2.16428
x0=4.32493, y=1.46440
x0=6.31232, y=1.84250
x0=4.82609, y=1.57404
x0=5.77724, y=1.75393
x0=5.49782, y=1.70435
x0=0.86315, y=-0.14717

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=3.07107, y=1.12203
x0=5.64838, y=1.73137
x0=7.81091, y=2.05552
x0=2.73347, y=1.00557
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=8.40481, y=560.58594
x0=3.62221, y=34.13283
x0=-2.69332, y=-9.94814
x0=6.86331, y=296.43429
x0=-6.14134, y=-207.67094
x0=-6.12300, y=-205.67602
x0=4.72995, y=87.75322
x0=2.90387, y=14.20877
x0=-6.54104, y=-254.27052
x0=0.51416, y=0.49681
x0=-4.20181, y=-58.22399
x0=4.46355, y=71.97538
x0=9.50562, y=821.30202
x0=-0.46316, y=1.05124
x0=9.17756, y=736.73550
x0=-4.29462, y=-62.86269
x0=5.78402, y=171.06784
x0=-1.43138, y=1.24291
x0=-3.90314, y=-44.74977
x0=2.66022, y=9.62619
x0=9.97319, y=952.49325
x0=-3.62566, y=-34.11267
x0=3.77716, y=39.83503
x0=-4.16233, y=-56.31686
x0=-7.87533, y=-457.41688
x0=-9.30363, y=-768.49847
x0=-5.23307, y=-123.07777
x0=5.50727, y=145.74164
x0=4.14625, y=55.66126
x0=-7.08436, y=-327.74738
x0=8.44809, y=569.62945
x0=8.48446, y=577.30297
x0=-3.74772, y=-38.57741
x0=0.02552, y=0.99930
x0=5.75058, y=167.86909
x0=8.55539, y=592.46209
x0=6.82185, y=290.78065
x0=5.95170, y=187.70011
x0=5.11667, y=114.27890
x0=-0.71408, y=1.26278
x0=-6.54436, y=-254.68303
x0=0.10375, y=0.98605
x0=-4.67888, y=-84.48801
x0=5.40712, y=137.20739
x0=-8.43086, y=-565.99118
x0=8.37023, y=553.42923
x0=-6.91835, y=-304.00906
x0=5.83373, y=175.89541
x0=-7.28038, y=-357.28821
x0=-3.38525, y=-26.26032
x0=-5.16458, y=-117.80619
x0=7.18490, y=342.73022
x0=-5.48948, y=-144.13710
x0=0.03631, y=0.99854
x0=-2.80547, y=-12.01144
x0=-1.44294, y=1.21922
x0=-7.92552, y=-466.61199
x0=-0.29822, y=0.98923
x0=5.41819, y=138.13482
x0=-4.95621, y=-102.65619
x0=-5.13293, y=-115.41975
x0=-8.09058, y=-497.69889
x0=6.49823, y=249.03182
x0=-6.59733, y=-261.32810
x0=-6.08327, y=-201.39949
x0=6.37891, y=234.68101
x0=-2.32973, y=-4.62020

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=-2.14307, y=-2.62424
x0=1.69864, y=0.11279
x0=-7.44661, y=-383.65225
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=-5.80222, y=8223.88786
x0=8.68822, y=0.05855
x0=0.90756, y=-0.08024
x0=7.17441, y=-0.05707
x0=-5.13939, y=5265.98416
x0=0.83826, y=-0.07192
x0=2.73668, y=0.89366
x0=0.39278, y=-0.01241
x0=5.85801, y=0.16884
x0=1.75316, y=0.16852
x0=-8.63459, y=859727.72470
x0=-3.90656, y=-1942.72115
x0=-3.42398, y=-93.33017
x0=-0.68678, y=-0.20474
x0=6.58703, y=-0.17244
x0=2.40932, y=0.41102
x0=-7.31361, y=-269850.68705
x0=7.55325, y=-0.05480
x0=5.54288, y=0.48849
x0=6.65548, y=-0.09166
x0=8.27663, y=0.04123
x0=7.26798, y=-0.08579
x0=-3.02738, y=81.40011
x0=-6.91860, y=-246998.90712
x0=5.68674, y=0.09858
x0=2.26616, y=0.24688
x0=2.35154, y=0.32099
x0=-6.16081, y=10043.47744
x0=3.95655, y=-0.61313
x0=1.29613, y=-0.11359
x0=-0.49841, y=-0.06709
x0=-2.06580, y=16.61155
x0=5.87410, y=0.19795
x0=0.94988, y=-0.08525
x0=4.02636, y=-0.39627
x0=-5.96425, y=44421.77719
x0=8.27371, y=0.04033
x0=-9.44487, y=-416435.58228
x0=8.98172, y=0.00828
x0=7.08893, y=-0.14977
x0=-3.08771, y=30.93477
x0=-9.57016, y=-975080.76521
x0=-6.73758, y=-11464.92198
x0=0.12158, y=-0.00019
x0=-7.69835, y=-144172.34728
x0=2.96941, y=0.35443
x0=0.08022, y=-0.00004
x0=3.56374, y=-0.53764
x0=5.19505, y=0.17722
x0=-4.71318, y=9.28051
x0=-0.23579, y=-0.00357
x0=6.48594, y=-0.15772
x0=-7.56565, y=-186653.59132
x0=9.24556, y=0.00534
x0=-4.15813, y=-974.73257
x0=1.01645, y=-0.09319
x0=6.31858, y=-0.00333
x0=2.56654, y=0.74142
x0=-9.21669, y=1399258.02804
x0=8.97330, y=0.00628
x0=6.04371, y=0.22877
x0=2.60352, y=0.80931
x0=1.64783, y=0.06818
x0=-7.86022, y=7808.72356
x0=7.26225, y=-0.08148
x0=-9.01625, y=1435344.23598
x0=7.81972, y=-0.00680
x0=8.87516, y=0.03512
x0=4.55072, y=-0.18249
x0=-3.18760, y=-11.87572
x0=3.35168, y=-0.01334
x0=9.79773, y=-0.03400

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=-7.17269, y=-98159.99784
x0=-2.04905, y=16.34565
x0=0.19562, y=-0.00113
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)).