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=-7.11705, x1=-3.17712, y=22.61175
x0=-7.90516, x1=-7.30776, y=57.76899
x0=-5.86821, x1=-5.67978, y=33.33010
x0=-6.82165, x1=-9.05075, y=61.74110
x0=-3.13889, x1=2.36606, y=-7.42681
x0=4.70786, x1=-0.06109, y=-0.28760
x0=5.29967, x1=-5.48003, y=-29.04235
x0=1.80820, x1=7.62765, y=13.79229
x0=2.19580, x1=-5.09311, y=-11.18345
x0=-2.20990, x1=2.29306, y=-5.06742
x0=7.47328, x1=-9.91462, y=-74.09475
x0=5.38021, x1=3.04127, y=16.36270
x0=-4.22987, x1=-7.35179, y=31.09711
x0=6.52911, x1=3.14199, y=20.51436
x0=5.43107, x1=-4.82141, y=-26.18541
x0=1.96757, x1=7.80016, y=15.34735
x0=3.36155, x1=1.80015, y=6.05132
x0=-5.95292, x1=2.81114, y=-16.73449
x0=-4.27594, x1=-7.80828, y=33.38773
x0=5.01051, x1=-8.28170, y=-41.49554
x0=-0.70977, x1=-6.07725, y=4.31345
x0=3.65503, x1=0.54866, y=2.00538
x0=1.91708, x1=5.52126, y=10.58467
x0=-8.60651, x1=5.38785, y=-46.37064
x0=5.54548, x1=-5.70664, y=-31.64609
x0=-3.20257, x1=-1.03389, y=3.31110
x0=5.87166, x1=-5.63445, y=-33.08357
x0=9.34235, x1=-3.36109, y=-31.40045
x0=2.02675, x1=5.65964, y=11.47065
x0=6.60653, x1=5.26915, y=34.81079
x0=-9.88635, x1=3.95958, y=-39.14580
x0=-0.35459, x1=9.33238, y=-3.30919
x0=-0.69547, x1=4.00343, y=-2.78428
x0=5.96402, x1=-4.77701, y=-28.49018
x0=-1.67734, x1=-7.79304, y=13.07155
x0=-0.65259, x1=4.96375, y=-3.23930
x0=-3.05534, x1=-0.01519, y=0.04641
x0=-9.84127, x1=2.92117, y=-28.74804
x0=-5.53639, x1=4.11652, y=-22.79065
x0=1.59670, x1=1.77744, y=2.83803
x0=6.57723, x1=3.05084, y=20.06610
x0=6.06155, x1=-3.48863, y=-21.14653
x0=0.19858, x1=-0.88395, y=-0.17554
x0=4.92192, x1=3.67099, y=18.06830
x0=1.70616, x1=6.37420, y=10.87542
x0=-4.25806, x1=3.96324, y=-16.87569
x0=2.27020, x1=-3.86394, y=-8.77192
x0=-5.16797, x1=-9.00744, y=46.55017
x0=-5.18983, x1=6.25462, y=-32.46042
x0=3.54717, x1=-1.50430, y=-5.33603
x0=-5.37417, x1=-5.05930, y=27.18952
x0=6.05914, x1=0.93918, y=5.69062
x0=9.99751, x1=5.85534, y=58.53887
x0=-6.95035, x1=8.03661, y=-55.85730
x0=-2.06292, x1=-1.47782, y=3.04863
x0=-8.96978, x1=-4.60094, y=41.26944
x0=-9.48585, x1=4.46253, y=-42.33090
x0=-4.56964, x1=-1.74691, y=7.98277
x0=-0.93244, x1=-6.06907, y=5.65907
x0=8.31503, x1=-7.87114, y=-65.44882
x0=-8.03929, x1=-2.43049, y=19.53942
x0=-4.89057, x1=-1.32858, y=6.49753
x0=5.85604, x1=5.50016, y=32.20921
x0=-0.20363, x1=-2.22987, y=0.45406
x0=0.95863, x1=-1.42638, y=-1.36738
x0=5.22384, x1=-5.04190, y=-26.33807
x0=7.01708, x1=-7.26097, y=-50.95082
x0=-7.65534, x1=-2.44542, y=18.72051
x0=9.17019, x1=-1.36138, y=-12.48413
x0=0.16207, x1=-5.07146, y=-0.82192
x0=0.95060, x1=5.08531, y=4.83411
x0=-6.97671, x1=-4.98846, y=34.80303
x0=4.64080, x1=9.50531, y=44.11223
x0=2.42188, x1=4.05054, y=9.80991
x0=3.01999, x1=4.10727, y=12.40392
x0=-4.37374, x1=0.72835, y=-3.18561
x0=-7.67071, x1=3.63004, y=-27.84497
x0=-6.72614, x1=-6.72779, y=45.25208
x0=1.63037, x1=7.18424, y=11.71299
x0=-5.12956, x1=-9.26579, y=47.52944
x0=4.70533, x1=7.74109, y=36.42436
x0=0.81002, x1=4.50376, y=3.64814
x0=-8.80420, x1=3.75493, y=-33.05914
x0=7.73624, x1=-6.66303, y=-51.54678
x0=9.84295, x1=0.29338, y=2.88772
x0=-6.63147, x1=-8.57949, y=56.89465
x0=2.07508, x1=7.62140, y=15.81502
x0=-1.61206, x1=-8.44936, y=13.62088
x0=0.68410, x1=9.30538, y=6.36583
x0=0.42081, x1=0.26946, y=0.11339
x0=-5.05124, x1=5.71464, y=-28.86605
x0=4.56333, x1=-7.28549, y=-33.24608
x0=5.85916, x1=1.28383, y=7.52215
x0=-0.52742, x1=3.44256, y=-1.81567
x0=6.62823, x1=6.96407, y=46.15949
x0=-3.05256, x1=5.55482, y=-16.95643
x0=9.50390, x1=2.21492, y=21.05040
x0=1.84579, x1=3.42701, y=6.32555
x0=4.23166, x1=-3.40995, y=-14.42977
x0=-2.56056, x1=-8.53920, y=21.86515
x0=9.07651, x1=5.19267, y=47.13126
x0=-8.84893, x1=-0.70667, y=6.25328
x0=-0.92516, x1=3.16283, y=-2.92612
x0=-6.42731, x1=5.43748, y=-34.94836
x0=1.18345, x1=-6.23603, y=-7.38000
x0=-5.38256, x1=6.99309, y=-37.64072
x0=7.59940, x1=-1.52666, y=-11.60166
x0=-0.14991, x1=-7.28526, y=1.09210
x0=9.15396, x1=4.22486, y=38.67420
x0=-3.28722, x1=2.83715, y=-9.32633
x0=3.19149, x1=0.20682, y=0.66005
x0=-5.13296, x1=5.99916, y=-30.79347
x0=-9.11186, x1=-8.28432, y=75.48558
x0=3.66521, x1=-6.71782, y=-24.62220
x0=-5.33327, x1=-3.36678, y=17.95594
x0=7.90845, x1=-2.94269, y=-23.27212
x0=-6.24678, x1=-9.59347, y=59.92830
x0=-0.61533, x1=2.84022, y=-1.74768
x0=1.95826, x1=9.70254, y=19.00007
x0=9.29955, x1=5.89803, y=54.84901
x0=0.67420, x1=5.90895, y=3.98383
x0=8.21855, x1=-5.43333, y=-44.65415
x0=3.40860, x1=1.15353, y=3.93191
x0=-4.47559, x1=-4.84432, y=21.68122
x0=5.47705, x1=9.79867, y=53.66784
x0=-1.52693, x1=8.55871, y=-13.06860
x0=-0.82532, x1=6.60414, y=-5.45052
x0=-0.72198, x1=7.64632, y=-5.52051
x0=-6.43443, x1=-1.04662, y=6.73440
x0=4.58751, x1=1.81026, y=8.30461
x0=7.66358, x1=8.58222, y=65.77051
x0=-7.40237, x1=-6.69593, y=49.56578
x0=4.50156, x1=-4.45101, y=-20.03651

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=-0.74265, x1=2.01643, y=-1.49750
x0=-3.54507, x1=-9.90605, y=35.11766
x0=5.15779, x1=-6.40827, y=-33.05249
x0=-3.15592, x1=-1.56517, y=4.93954
x0=-5.30355, x1=7.21846, y=-38.28347
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=-7.41617, x1=-3.29900, y=-2.41927
x0=6.90933, x1=3.20389, y=-2.47030
x0=7.45988, x1=9.57445, y=-2.13153
x0=-0.36955, x1=-8.69065, y=-44.52495
x0=-7.86353, x1=-1.12820, y=-3.53280
x0=3.36140, x1=5.36608, y=-2.59850
x0=-4.97681, x1=-9.55566, y=-2.20199
x0=-6.98931, x1=-3.86201, y=-2.37511
x0=-3.43416, x1=7.16329, y=-1.67391
x0=2.34694, x1=8.24354, y=-2.55056
x0=1.76029, x1=-7.74118, y=-1.45870
x0=0.96706, x1=-7.28980, y=-1.10445
x0=3.46068, x1=6.68242, y=-2.44719
x0=-7.54581, x1=-5.32912, y=-2.24185
x0=-8.32298, x1=5.78056, y=-1.82391
x0=-2.83324, x1=8.72107, y=-1.67519
x0=-5.10209, x1=4.70986, y=-1.66704
x0=-9.48349, x1=-5.39501, y=-2.18686
x0=5.09989, x1=9.02968, y=-2.20906
x0=-0.47485, x1=6.45759, y=-0.51642
x0=-3.91427, x1=1.85552, y=-1.12306
x0=6.12438, x1=-2.73783, y=-1.54471
x0=0.97419, x1=7.49033, y=-4.09449
x0=-6.88935, x1=3.84102, y=-1.69452
x0=6.40103, x1=6.11595, y=-2.24897
x0=7.95662, x1=8.11865, y=-2.14611
x0=-5.07285, x1=6.46355, y=-1.74852
x0=-8.13867, x1=-1.93464, y=-2.70614
x0=7.96190, x1=1.59001, y=-2.93172
x0=-6.99790, x1=-0.45609, y=-48.95765
x0=-9.89997, x1=5.80762, y=-1.85123
x0=9.77142, x1=-2.39118, y=-1.65864
x0=9.20706, x1=-3.25739, y=-1.72720
x0=5.60338, x1=-2.33746, y=-1.44091
x0=0.33000, x1=-8.23620, y=-0.42602
x0=0.48086, x1=9.45704, y=-7.81593
x0=-7.15643, x1=5.35815, y=-1.78232
x0=-0.78510, x1=2.47105, y=-0.17814
x0=2.52348, x1=-6.10586, y=-1.51108
x0=-8.96916, x1=3.35041, y=-1.72769
x0=4.52524, x1=-5.60279, y=-1.68258
x0=5.18190, x1=-1.91592, y=-1.30384
x0=-4.11854, x1=-7.02828, y=-2.34687
x0=9.35035, x1=6.26871, y=-2.16183
x0=-8.39737, x1=-3.45418, y=-2.34607
x0=4.79663, x1=-6.20341, y=-1.72524
x0=3.36750, x1=3.30201, y=-3.10844
x0=3.39187, x1=-7.50259, y=-1.68363
x0=-3.09441, x1=-1.38110, y=-9.06602
x0=4.37861, x1=7.97709, y=-2.28188
x0=-1.41256, x1=3.77378, y=-0.91966
x0=-4.55434, x1=2.78634, y=-1.42638
x0=6.87317, x1=8.44459, y=-2.16351
x0=-7.09584, x1=-4.84264, y=-2.28697
x0=3.97543, x1=-6.90249, y=-1.70434
x0=6.28608, x1=-2.63949, y=-1.54063
x0=-2.89960, x1=-0.06684, y=1.20721
x0=-6.56824, x1=-5.60968, y=-2.26591
x0=-7.51246, x1=-4.42679, y=-2.29746
x0=8.72787, x1=1.19925, y=-3.20533
x0=9.94815, x1=-5.32812, y=-1.83930
x0=-4.04152, x1=1.12030, y=-0.80442
x0=-2.50883, x1=0.97173, y=-0.34495
x0=2.72758, x1=-2.67172, y=-1.12514
x0=-5.03473, x1=0.52019, y=-0.39830
x0=6.55037, x1=3.73065, y=-2.41983
x0=-4.44937, x1=-9.85574, y=-2.22031
x0=7.67402, x1=-1.71298, y=-1.44257
x0=-7.54419, x1=4.89319, y=-1.77452
x0=-3.85311, x1=2.51920, y=-1.29171
x0=-6.93373, x1=-1.32022, y=-3.46245
x0=8.81082, x1=-9.30031, y=-1.89405
x0=7.06038, x1=-2.93624, y=-1.62075
x0=7.39898, x1=-9.68817, y=-1.87949
x0=-9.11368, x1=9.35458, y=-1.89802
x0=7.71734, x1=6.89927, y=-2.17913
x0=-8.80377, x1=-7.35757, y=-2.14569
x0=7.42632, x1=4.45952, y=-2.29883
x0=1.48787, x1=8.25361, y=-2.96979
x0=-8.36243, x1=-8.13337, y=-2.13843
x0=3.65820, x1=0.54171, y=6.83809
x0=-2.41893, x1=7.52842, y=-1.57569
x0=7.75554, x1=-6.76801, y=-1.83781
x0=-8.95412, x1=-5.68846, y=-2.18775
x0=1.18387, x1=9.90265, y=-3.03171
x0=6.13339, x1=-6.04122, y=-1.77530
x0=6.20690, x1=-6.29158, y=-1.78598
x0=-6.77691, x1=-6.70669, y=-2.21201
x0=6.26113, x1=5.71475, y=-2.27455
x0=-6.61651, x1=4.02702, y=-1.69641
x0=-9.61182, x1=9.23463, y=-1.90192
x0=-1.10191, x1=-7.25402, y=-3.80242

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=-1.49044, x1=-9.51023, y=-2.80541
x0=1.24739, x1=6.11567, y=-3.94442
x0=8.38163, x1=3.21452, y=-2.37589
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=-2.39161, y=-55.87998
x0=-4.88674, y=-2314.16828
x0=5.60208, y=6715.25683
x0=-6.99339, y=-14635.93309
x0=-8.67025, y=-43929.92417
x0=2.79799, y=265.30660
x0=6.38047, y=12538.72429
x0=-7.95011, y=-28211.42510
x0=-2.95741, y=-169.81288
x0=-2.48018, y=-67.59248
x0=-4.54590, y=-1592.10688
x0=-0.30570, y=-0.23475
x0=5.14880, y=4489.46437
x0=-2.56130, y=-79.99715
x0=1.11656, y=7.04495
x0=2.67998, y=218.94390
x0=0.71959, y=2.07108
x0=-1.85569, y=-14.94942
x0=-9.98014, y=-89994.35608
x0=5.40260, y=5646.93672
x0=-6.71924, y=-11922.79212
x0=8.35334, y=46202.56035
x0=4.57734, y=2569.80684
x0=7.33410, y=24568.36155
x0=9.27547, y=76951.58905
x0=-9.95175, y=-88698.95220
x0=3.36801, y=614.96582
x0=-7.59985, y=-22405.52006
x0=-6.81537, y=-12823.75152
x0=5.26815, y=5007.28630
x0=-4.43968, y=-1408.60050
x0=4.88388, y=3492.76365
x0=-9.50215, y=-70090.27809
x0=9.52531, y=87611.10404
x0=-5.82907, y=-5745.09963
x0=1.11934, y=7.10173
x0=-5.05462, y=-2755.34000
x0=3.85720, y=1151.28772
x0=2.51703, y=165.96346
x0=5.48651, y=6078.28002
x0=3.98628, y=1342.29058
x0=-4.75055, y=-1999.55639
x0=-8.90997, y=-50488.43906
x0=1.54439, y=22.08805
x0=4.80325, y=3227.65718
x0=-3.85019, y=-672.43145
x0=-5.39866, y=-3870.08774
x0=6.03335, y=9581.61742
x0=-8.35512, y=-36364.55916
x0=5.56024, y=6478.76189
x0=-3.98627, y=-805.48103
x0=-3.33247, y=-316.89685
x0=-2.15058, y=-32.08327
x0=-9.38149, y=-65671.70609
x0=5.90341, y=8630.96317
x0=-6.47317, y=-9845.41776
x0=7.76816, y=32465.46720
x0=3.08461, y=411.73386
x0=3.95155, y=1288.56328
x0=6.58484, y=14595.76755
x0=3.18959, y=479.43686
x0=9.03374, y=67652.14540
x0=0.09770, y=0.10827
x0=4.56465, y=2536.34862
x0=3.48141, y=716.11080
x0=7.44847, y=26480.53859
x0=-0.72971, y=-0.50915
x0=-7.85935, y=-26603.03403
x0=9.73599, y=97490.59742
x0=-3.04638, y=-198.28512
x0=2.19367, y=91.51787
x0=6.03184, y=9570.10727
x0=2.15612, y=85.03866
x0=-8.39732, y=-37312.12680
x0=-8.75950, y=-46286.66792
x0=2.01110, y=63.44518
x0=-4.94238, y=-2453.59507
x0=-7.49953, y=-20932.88061
x0=7.87811, y=34757.56455
x0=-6.52580, y=-10263.26905
x0=-7.26325, y=-17768.76183
x0=0.43595, y=0.76071
x0=-9.76541, y=-80559.59156
x0=-3.39412, y=-348.70340
x0=-9.87934, y=-85461.52923
x0=-5.66339, y=-4952.63951
x0=-2.36709, y=-52.94644
x0=5.46127, y=5945.84931
x0=-1.70353, y=-9.67004
x0=5.66371, y=7076.20131
x0=-3.67585, y=-528.36648
x0=-0.81007, y=-0.60365
x0=9.37355, y=81004.59933
x0=-0.39192, y=-0.28417
x0=-5.91794, y=-6210.18500
x0=-2.27125, y=-42.65846
x0=5.80487, y=7961.73267
x0=-4.78369, y=-2072.74556
x0=-6.42617, y=-9483.95212

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=5.04414, y=4071.58527
x0=3.81191, y=1089.72481
x0=-7.93146, y=-27874.73795
x0=-0.19019, y=-0.15984
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=-4.65160, x1=-9.98509, y=1.52960
x0=7.57034, x1=-5.53880, y=1.63757
x0=7.39040, x1=3.27106, y=0.76535
x0=0.01510, x1=3.20734, y=-0.05060
x0=2.10053, x1=-8.69525, y=0.19642
x0=0.35265, x1=2.75207, y=0.72513
x0=-2.23950, x1=-5.25128, y=0.07365
x0=-3.79977, x1=-2.25353, y=-0.16418
x0=9.80565, x1=7.22078, y=0.43441
x0=9.59335, x1=4.41446, y=-1.12372
x0=-6.19983, x1=-4.62302, y=1.07927
x0=8.44535, x1=3.42172, y=0.55370
x0=-6.96216, x1=-1.05474, y=-1.49777
x0=2.89246, x1=-7.03583, y=-0.43701
x0=-1.89584, x1=-9.26568, y=-1.10607
x0=7.41020, x1=-2.08273, y=0.03133
x0=-5.41065, x1=6.22705, y=0.70985
x0=-8.06126, x1=-7.68531, y=-1.96440
x0=5.94589, x1=-3.48473, y=0.00550
x0=-5.21152, x1=9.82586, y=0.48759
x0=-1.93089, x1=-4.79527, y=0.06070
x0=-6.17190, x1=3.24476, y=0.00808
x0=-3.80660, x1=-8.75806, y=-0.00135
x0=6.90235, x1=9.18006, y=0.82264
x0=-4.55654, x1=8.87819, y=1.50765
x0=-4.74822, x1=-3.30823, y=1.16522
x0=-5.15930, x1=4.31549, y=-0.02048
x0=3.57171, x1=-1.14488, y=-1.32764
x0=6.54952, x1=0.52754, y=0.76661
x0=5.01557, x1=-9.59263, y=-0.78733
x0=3.59836, x1=0.20281, y=-0.23963
x0=8.12446, x1=8.65405, y=1.66030
x0=8.51458, x1=1.52879, y=1.78874
x0=8.27368, x1=-2.07437, y=0.03735
x0=-8.07124, x1=-0.47641, y=-1.43508
x0=7.75443, x1=1.63583, y=1.99293
x0=1.88108, x1=1.65551, y=1.94866
x0=0.65862, x1=-0.73940, y=-0.06182
x0=-8.46832, x1=2.18402, y=0.00064
x0=0.76921, x1=-3.45707, y=1.00584
x0=-5.01720, x1=-4.52974, y=1.93727
x0=-0.31863, x1=-6.40988, y=-0.43962
x0=-5.91899, x1=-7.31125, y=-0.50010
x0=-8.52519, x1=2.75609, y=-0.40704
x0=-2.93203, x1=-8.91153, y=-0.69904
x0=-9.69899, x1=8.11239, y=1.23759
x0=3.25488, x1=-6.58768, y=-0.41286
x0=-2.13147, x1=-6.52924, y=-1.09048
x0=2.81581, x1=-5.98474, y=0.61409
x0=0.36159, x1=-3.53469, y=0.73681
x0=2.03690, x1=4.25714, y=-0.00482
x0=8.10737, x1=-3.31672, y=1.14230
x0=1.20586, x1=8.86731, y=1.46319
x0=6.33821, x1=9.21926, y=0.25907
x0=6.37299, x1=-2.81883, y=-0.22751
x0=-4.84371, x1=3.79995, y=0.37957
x0=-3.96059, x1=9.81957, y=0.34585
x0=-7.43623, x1=-5.73686, y=-0.39445
x0=7.19853, x1=0.70562, y=1.44128
x0=3.90617, x1=7.21258, y=0.10903
x0=-9.45460, x1=-5.29768, y=0.86337
x0=4.47256, x1=-9.99387, y=-0.43251
x0=-6.85630, x1=5.33170, y=-1.35653
x0=-1.96412, x1=4.44818, y=-1.88894
x0=-3.16335, x1=-3.95956, y=0.75152
x0=9.27016, x1=-1.00413, y=-0.68970
x0=2.14245, x1=-9.02779, y=0.45437
x0=6.25995, x1=4.96555, y=-0.99136
x0=0.95397, x1=8.38009, y=1.68049
x0=-1.94542, x1=4.19690, y=-1.80070
x0=2.06983, x1=3.48907, y=0.53752
x0=5.69668, x1=-0.31585, y=-0.86408
x0=-7.27127, x1=-2.39265, y=-1.51584
x0=-3.91631, x1=-7.03342, y=0.01771
x0=-3.29855, x1=9.05761, y=0.51529
x0=6.48714, x1=-1.40336, y=-0.78348
x0=-6.98012, x1=-7.49600, y=-1.57847
x0=-2.03978, x1=4.77243, y=-1.89023
x0=-2.84874, x1=-3.84641, y=0.35921
x0=-1.20544, x1=-4.24532, y=-0.04110
x0=8.12410, x1=-7.08583, y=0.24454
x0=-7.01217, x1=-0.08256, y=-0.74859
x0=-5.94176, x1=6.96815, y=0.96748
x0=-9.85650, x1=8.19627, y=1.36042
x0=-5.86925, x1=9.77902, y=0.05534
x0=9.56465, x1=-3.32782, y=0.04573
x0=2.46251, x1=4.25531, y=-0.26927
x0=-7.12964, x1=-1.93799, y=-1.68227
x0=5.11349, x1=-6.26057, y=-0.89802
x0=-5.79213, x1=1.27108, y=1.42698
x0=-6.56737, x1=1.88706, y=0.67003
x0=4.22981, x1=8.40654, y=-0.03461
x0=-4.04581, x1=-0.83255, y=0.04629
x0=-9.39551, x1=-6.81169, y=-0.53350
x0=2.07682, x1=-5.71155, y=1.41569
x0=-9.20880, x1=4.62506, y=-1.21049
x0=-2.93368, x1=-0.61337, y=-0.78205
x0=-7.64827, x1=-0.00181, y=-0.98073
x0=1.60823, x1=-7.19651, y=0.20776
x0=-5.78004, x1=-3.62227, y=0.94456
x0=-2.78363, x1=1.72261, y=0.63813
x0=6.51149, x1=4.56854, y=-0.76334
x0=-3.90336, x1=9.91302, y=0.22113
x0=-4.37407, x1=-0.68529, y=0.31042
x0=9.25688, x1=6.43360, y=0.31696
x0=5.98736, x1=-4.46543, y=0.67813
x0=8.94489, x1=7.63112, y=1.43695
x0=5.18728, x1=-5.18471, y=0.00117
x0=5.12669, x1=6.83132, y=-0.39430
x0=-7.95250, x1=-4.20015, y=-0.12350
x0=-9.48108, x1=4.63609, y=-0.94082
x0=-3.63449, x1=6.48171, y=0.67040
x0=9.49399, x1=1.94555, y=0.86144
x0=9.28720, x1=-4.06061, y=0.93216
x0=8.04988, x1=-1.28527, y=0.02136
x0=-9.72107, x1=-3.52218, y=0.66344
x0=0.43001, x1=-9.94403, y=0.91311
x0=1.33150, x1=6.05912, y=0.74931
x0=0.40956, x1=3.15562, y=0.38418

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=8.94980, x1=-5.48940, y=1.17033
x0=-2.67867, x1=-3.02714, y=-0.56076
x0=-5.68344, x1=2.15850, y=1.39665
x0=3.88849, x1=-6.23229, y=-0.62850
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=6.30345, x1=9.69882, y=56880697.53519
x0=0.02603, x1=4.42182, y=0.00000
x0=3.48205, x1=-7.27659, y=0.00011
x0=5.42036, x1=2.11073, y=35.42720
x0=9.41613, x1=6.30247, y=1373420.85402
x0=4.41079, x1=2.02765, y=20.26994
x0=7.79333, x1=-7.14948, y=0.00000
x0=9.30627, x1=6.57639, y=2349870.46956
x0=1.34440, x1=2.72957, y=2.24301
x0=3.27090, x1=-9.16013, y=0.00002
x0=7.89746, x1=-1.88617, y=0.02029
x0=2.94958, x1=5.08468, y=244.66763
x0=4.45215, x1=1.01482, y=4.55179
x0=0.72837, x1=-4.13881, y=3.71273
x0=9.88219, x1=-5.33145, y=0.00000
x0=8.61588, x1=2.17779, y=108.86532
x0=8.41669, x1=8.25220, y=43097132.18081
x0=7.94695, x1=5.37841, y=69446.17707
x0=0.54796, x1=0.45447, y=0.76080
x0=0.41100, x1=-8.50953, y=1932.10561
x0=1.84818, x1=-0.68176, y=0.65788
x0=3.80572, x1=-0.98761, y=0.26715
x0=5.15486, x1=8.39033, y=945660.57017
x0=0.53541, x1=-2.10726, y=3.73012
x0=3.59396, x1=6.39509, y=3572.25823
x0=0.57243, x1=0.09330, y=0.94929
x0=9.94853, x1=9.40127, y=2399950483.45232
x0=9.58597, x1=5.24522, y=140894.81594
x0=6.07302, x1=-4.97339, y=0.00013
x0=6.86388, x1=5.23438, y=23928.75031
x0=3.92614, x1=-8.15490, y=0.00001
x0=2.71585, x1=3.63003, y=37.59194
x0=5.47176, x1=1.18598, y=7.50595
x0=9.74909, x1=-7.23021, y=0.00000
x0=2.55934, x1=-4.69792, y=0.01210
x0=9.05910, x1=8.27054, y=82339771.03155
x0=9.96031, x1=-0.24060, y=0.57520
x0=0.68603, x1=-3.29003, y=3.45488
x0=2.32648, x1=-1.35219, y=0.31927
x0=3.57610, x1=-2.59243, y=0.03676
x0=5.36831, x1=-4.69928, y=0.00037
x0=7.76346, x1=2.18869, y=88.72626
x0=6.01354, x1=8.35105, y=3210407.37693
x0=0.98830, x1=7.68612, y=0.91349
x0=8.38840, x1=0.31869, y=1.96955
x0=4.44011, x1=6.68322, y=21216.57703
x0=4.61411, x1=3.36472, y=171.58126
x0=8.25086, x1=3.08551, y=672.76414
x0=1.72886, x1=6.98712, y=45.84063
x0=0.31115, x1=7.48612, y=0.00016
x0=6.04868, x1=-2.11403, y=0.02226
x0=8.96579, x1=2.37704, y=183.80011
x0=1.34746, x1=9.37550, y=16.37841
x0=2.41253, x1=-8.49524, y=0.00056
x0=7.85917, x1=-2.18028, y=0.01116
x0=0.97884, x1=-8.07085, y=1.18840
x0=8.87910, x1=6.31457, y=973956.71111
x0=5.05718, x1=3.18426, y=174.35124
x0=1.22033, x1=-6.75605, y=0.26047
x0=7.14554, x1=-7.87147, y=0.00000
x0=3.63011, x1=-7.36670, y=0.00008
x0=0.47132, x1=-7.73457, y=336.30544
x0=7.72293, x1=-7.11244, y=0.00000
x0=3.38414, x1=3.71623, y=92.80120
x0=0.60783, x1=1.88695, y=0.39084
x0=2.89005, x1=-7.99127, y=0.00021
x0=4.27795, x1=6.57928, y=14225.71654
x0=9.15549, x1=3.80210, y=4533.24157
x0=1.42853, x1=-8.18436, y=0.05399
x0=5.73842, x1=-8.23413, y=0.00000
x0=8.87271, x1=7.98046, y=36807027.71924
x0=4.88548, x1=-3.18415, y=0.00640
x0=0.25125, x1=-0.85664, y=3.26511
x0=6.31382, x1=7.88773, y=2053487.77259
x0=0.27580, x1=-6.45842, y=4100.86348
x0=0.11521, x1=-1.65216, y=35.52839
x0=9.99546, x1=7.16244, y=14488627.93746
x0=1.49526, x1=0.56429, y=1.25485

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=9.03256, x1=-3.10443, y=0.00108
x0=3.10423, x1=-0.86151, y=0.37686
x0=5.83039, x1=7.46997, y=524496.63157
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=-9.32063, x1=-1.60171, y=-0.68762
x0=-8.15378, x1=-8.64141, y=-0.12576
x0=7.68973, x1=-7.56430, y=0.68808
x0=-9.58129, x1=-4.07047, y=0.43564
x0=3.31751, x1=-2.27523, y=-0.40523
x0=-0.64626, x1=-0.24094, y=-0.81857
x0=-3.20616, x1=5.36813, y=-0.89294
x0=4.67573, x1=-8.62578, y=-0.25950
x0=-4.30111, x1=1.24956, y=-0.13600
x0=4.89134, x1=8.43247, y=-0.41383
x0=-8.81368, x1=3.42656, y=0.08641
x0=3.94651, x1=0.38207, y=-0.34901
x0=-8.21298, x1=0.62851, y=0.23243
x0=7.93914, x1=8.94270, y=0.14592
x0=2.74971, x1=5.05069, y=0.67907
x0=-7.42334, x1=9.00416, y=-0.20674
x0=3.09045, x1=8.70323, y=0.35196
x0=-5.58834, x1=7.11061, y=0.79070
x0=-0.19473, x1=-8.41133, y=0.13975
x0=6.82838, x1=-6.74787, y=0.71003
x0=-0.38492, x1=8.26761, y=0.29848
x0=0.80606, x1=-3.90584, y=-0.34876
x0=3.88425, x1=-7.01521, y=0.41187
x0=5.33825, x1=-0.12381, y=0.98636
x0=-2.75037, x1=8.16218, y=-0.49146
x0=-1.02727, x1=-8.71273, y=0.34839
x0=-3.44005, x1=2.36702, y=0.34046
x0=-7.21818, x1=-0.62362, y=0.93833
x0=-5.96716, x1=-7.21036, y=0.40831
x0=8.41728, x1=8.81579, y=-0.01784
x0=7.98587, x1=8.39371, y=0.27328
x0=-1.59630, x1=8.88865, y=0.17999
x0=-4.69900, x1=-5.41737, y=0.62885
x0=0.79915, x1=9.89074, y=0.21508
x0=-5.48846, x1=9.50193, y=-0.03583
x0=-5.47632, x1=-1.53884, y=-0.67214
x0=-2.59029, x1=2.27364, y=0.28472
x0=-6.28776, x1=9.00061, y=-0.00144
x0=-2.48203, x1=9.24391, y=-0.04960
x0=1.81649, x1=0.75817, y=0.37615
x0=0.35086, x1=0.61611, y=0.47869
x0=-2.85437, x1=-6.59549, y=-0.89756
x0=-0.02428, x1=-4.90750, y=0.02814
x0=-6.02709, x1=-1.63940, y=-0.25576
x0=1.61765, x1=0.53901, y=0.63204
x0=-9.01864, x1=4.41252, y=0.48677
x0=-5.84148, x1=-2.92997, y=-0.06497
x0=8.24082, x1=-9.45430, y=-0.00301
x0=9.29778, x1=-8.79384, y=-0.30465
x0=-2.29687, x1=-9.24423, y=-0.02696
x0=0.47531, x1=-1.65732, y=0.44207
x0=-5.50947, x1=0.49476, y=-0.88911
x0=2.33831, x1=-6.24998, y=0.35771
x0=8.97561, x1=6.70316, y=-0.76432
x0=-4.54665, x1=-5.62338, y=0.48381
x0=6.63935, x1=4.79263, y=0.37421
x0=-3.29261, x1=-0.32812, y=0.96137
x0=6.45602, x1=-0.49814, y=-0.24845
x0=8.50991, x1=-8.75992, y=-0.06435
x0=8.41775, x1=7.50561, y=-0.04932
x0=7.75710, x1=-3.60535, y=0.18432
x0=-1.35365, x1=-1.63206, y=-0.61400
x0=8.72643, x1=1.25492, y=0.40453
x0=1.34377, x1=-1.67908, y=0.60281
x0=-0.96874, x1=-0.58926, y=-0.95029
x0=9.19865, x1=9.40567, y=-0.00901
x0=2.36041, x1=5.46391, y=0.35637
x0=8.33267, x1=6.95784, y=0.06353
x0=3.24181, x1=8.20858, y=0.56486
x0=8.53250, x1=-3.07556, y=0.00760
x0=-2.73908, x1=-0.53489, y=0.79394
x0=4.60381, x1=0.53439, y=0.56240
x0=-7.07592, x1=-3.30178, y=-0.07425
x0=7.61925, x1=1.25379, y=-0.73501
x0=3.60513, x1=-3.26186, y=0.04615
x0=-3.47928, x1=-3.87424, y=-0.31321
x0=3.70073, x1=-8.62436, y=0.26043
x0=8.14650, x1=7.75447, y=0.25187
x0=-3.62685, x1=0.27447, y=0.73956
x0=6.91698, x1=3.45413, y=0.12666
x0=3.89491, x1=-3.03836, y=-0.02201
x0=3.43951, x1=4.79109, y=0.66226
x0=4.89278, x1=-7.51433, y=-0.71062
x0=9.43131, x1=-5.80021, y=-0.97094
x0=-6.11233, x1=3.62652, y=0.06086
x0=-6.44210, x1=7.09699, y=-0.21684
x0=-4.85449, x1=-0.12732, y=-0.83899
x0=2.05100, x1=9.22228, y=-0.00657
x0=-2.96854, x1=-4.96231, y=-0.76327
x0=-8.14694, x1=2.43358, y=0.11755
x0=7.49011, x1=-6.59998, y=0.95928
x0=-4.27853, x1=-0.80977, y=-0.12335
x0=-5.32962, x1=4.29316, y=0.53913
x0=-8.27122, x1=3.06116, y=0.00639
x0=8.24198, x1=-7.24925, y=0.17889

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=5.25458, x1=6.24303, y=-0.99941
x0=8.91001, x1=-2.56505, y=0.20367
x0=9.76300, x1=-0.48816, y=0.84814
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=8.26617, y=6.51182
x0=3.97824, y=4.52298
x0=0.25273, y=0.81275
x0=1.27572, y=2.05835
x0=3.94796, y=4.50322
x0=4.27042, y=4.70755
x0=1.08614, y=1.81887
x0=2.99417, y=3.80902
x0=0.11495, y=0.68786
x0=7.52416, y=6.24771
x0=4.45553, y=4.81911
x0=7.85628, y=6.36877
x0=6.02234, y=5.63066
x0=5.97316, y=5.60819
x0=0.33398, y=0.89510
x0=2.61863, y=3.48984
x0=4.85736, y=5.04838
x0=5.39549, y=5.33107
x0=0.65151, y=1.26350
x0=2.70248, y=3.56375
x0=9.69636, y=6.96385
x0=1.02746, y=1.74368
x0=3.41466, y=4.13353
x0=5.42911, y=5.34790
x0=5.68802, y=5.47453
x0=2.46007, y=3.34565
x0=8.58945, y=6.62006
x0=0.50527, y=1.08629
x0=0.99322, y=1.69966
x0=0.84871, y=1.51361
x0=1.76760, y=2.64011
x0=7.54104, y=6.25397
x0=7.53006, y=6.24990
x0=5.58804, y=5.42625
x0=6.96448, y=6.03209
x0=7.67097, y=6.30182
x0=9.54753, y=6.91984
x0=7.76292, y=6.33523
x0=5.67467, y=5.46812
x0=7.71386, y=6.31745
x0=3.30462, y=4.05166
x0=0.76156, y=1.40209
x0=6.72784, y=5.93612
x0=0.40378, y=0.97040
x0=8.73514, y=6.66761
x0=6.59580, y=5.88123
x0=6.76679, y=5.95212
x0=1.73750, y=2.60643
x0=9.58211, y=6.93012
x0=4.38828, y=4.77904
x0=5.93524, y=5.59074
x0=4.30137, y=4.72648
x0=4.07574, y=4.58578
x0=8.96222, y=6.74026
x0=6.17725, y=5.70040
x0=0.41355, y=0.98125
x0=5.58293, y=5.42376
x0=9.08869, y=6.77997
x0=1.85932, y=2.74115
x0=8.27786, y=6.51580
x0=4.60156, y=4.90439
x0=3.13437, y=3.92082
x0=1.98536, y=2.87609

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=3.69314, y=4.33189
x0=7.53059, y=6.25009
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=-0.39120, y=-0.27461
x0=-9.50498, y=7384.27946
x0=-1.84301, y=6.83107
x0=-1.53321, y=2.73935
x0=4.33038, y=455.93205
x0=8.08195, y=4867.72358
x0=-4.50199, y=335.30835
x0=-0.92046, y=-0.13525
x0=8.87597, y=6993.67994
x0=5.23255, y=925.51840
x0=1.53773, y=13.12993
x0=-7.23147, y=2401.57620
x0=4.75725, y=647.23307
x0=6.60004, y=2235.18404
x0=0.47716, y=0.86532
x0=4.63463, y=587.04611
x0=-7.98988, y=3621.10420
x0=-6.51587, y=1561.85765
x0=8.53356, y=6005.77569
x0=-6.64914, y=1698.21022
x0=-6.12504, y=1209.06574
x0=-0.36142, y=-0.26094
x0=-5.43260, y=734.77348
x0=6.42007, y=2011.12416
x0=-8.86979, y=5561.45190
x0=3.33181, y=174.65007
x0=8.09164, y=4890.28096
x0=4.42573, y=494.35577
x0=9.34213, y=8528.94608
x0=3.63768, y=240.11160
x0=3.14685, y=142.27474
x0=5.96611, y=1520.88694
x0=-5.51919, y=784.72120
x0=9.93609, y=10836.42850
x0=8.85652, y=6934.49110
x0=-5.79142, y=958.46911
x0=-2.08934, y=12.21140
x0=3.63872, y=240.36203
x0=-2.75592, y=41.59345
x0=-8.72871, y=5207.38845
x0=-2.01103, y=10.25606
x0=8.35477, y=5533.69048
x0=1.23909, y=7.03422
x0=-8.66290, y=5048.13799
x0=-2.75886, y=41.78571
x0=-5.12807, y=577.85302
x0=-7.70234, y=3114.25060
x0=2.03853, y=31.93448
x0=-0.36898, y=-0.26453
x0=-4.69719, y=400.53059
x0=-1.64009, y=3.87370
x0=-7.36945, y=2596.15881
x0=-9.16976, y=6374.08919
x0=-3.09917, y=68.99157
x0=9.63250, y=9605.24582
x0=5.33075, y=992.75196
x0=0.40876, y=0.67205
x0=-8.22933, y=4088.44806
x0=9.29965, y=8379.45599
x0=7.94476, y=4556.57559
x0=-9.28042, y=6695.27031
x0=-8.69803, y=5132.68914
x0=4.26483, y=430.85665
x0=8.13174, y=4984.51712
x0=1.12730, y=5.44559
x0=2.57656, y=70.39235
x0=-1.43143, y=1.88294
x0=5.02987, y=797.65323
x0=-8.35091, y=4342.36721
x0=8.44754, y=5775.00967
x0=-1.17205, y=0.47867
x0=-5.12054, y=574.32389
x0=-4.88778, y=472.98377
x0=-7.59618, y=2941.31351
x0=-4.50744, y=337.01245
x0=6.24118, y=1805.58518
x0=2.92263, y=109.39005
x0=-2.58016, y=31.21891
x0=4.72891, y=632.92554
x0=-3.24128, y=83.58570
x0=-7.21582, y=2380.21718
x0=-7.14837, y=2289.80335
x0=-1.79976, y=6.10167
x0=4.36141, y=468.17846
x0=-4.45443, y=320.70442
x0=-3.30835, y=91.22356
x0=5.67196, y=1255.29460
x0=2.81419, y=95.74259
x0=-4.61467, y=371.89377
x0=-4.35338, y=291.26823
x0=-4.06969, y=219.40028
x0=3.96943, y=330.53157
x0=-0.56155, y=-0.32385
x0=6.71485, y=2387.61315
x0=0.62710, y=1.42159
x0=2.65112, y=77.71169
x0=-8.18318, y=3995.04125
x0=-2.41148, y=23.19742
x0=-7.30501, y=2503.86809
x0=-0.76940, y=-0.28246
x0=1.79771, y=21.28353
x0=-3.08216, y=67.38267
x0=6.30714, y=1879.42935
x0=9.58491, y=9422.22086
x0=8.27374, y=5329.16187
x0=9.31408, y=8430.01728
x0=4.61979, y=580.06045
x0=9.52079, y=9179.76427
x0=2.36414, y=52.40556
x0=-9.20106, y=6463.74147
x0=-0.72136, y=-0.30559
x0=-8.64954, y=5016.26261
x0=4.82840, y=684.22348
x0=6.77008, y=2463.66465

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=-6.91455, y=1996.19215
x0=8.74068, y=6589.80122
x0=-1.98547, y=9.66990
x0=9.70300, y=9881.27538
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=1.61926, x1=-4.58357, y=1.99054
x0=1.38915, x1=-3.30238, y=1.14364
x0=-3.71728, x1=5.71464, y=0.00600
x0=-5.30529, x1=-8.54681, y=0.05988
x0=-5.03678, x1=-6.45943, y=0.77251
x0=-7.06388, x1=8.33874, y=0.18101
x0=1.28348, x1=0.26796, y=1.22377
x0=4.12830, x1=-8.07370, y=-1.81017
x0=-8.66570, x1=8.00451, y=0.30044
x0=-1.14470, x1=-2.87370, y=-1.17528
x0=-6.69250, x1=-0.26730, y=-0.66211
x0=9.86217, x1=7.04920, y=0.26969
x0=-8.34026, x1=0.55794, y=-0.35464
x0=3.93465, x1=9.18908, y=-0.47898
x0=1.20703, x1=-2.43457, y=0.28499
x0=8.26894, x1=3.62962, y=0.44625
x0=2.09694, x1=7.20953, y=1.66418
x0=2.83972, x1=-7.00454, y=-0.36309
x0=9.13013, x1=7.56150, y=1.24793
x0=-3.26459, x1=-4.05081, y=0.91171
x0=5.37145, x1=-3.96693, y=-0.05579
x0=8.98437, x1=4.60390, y=-0.56781
x0=-6.77370, x1=3.02874, y=-0.35846
x0=-4.25918, x1=-2.05469, y=0.01386
x0=-7.92099, x1=-8.17945, y=-1.94526
x0=-0.98767, x1=-7.73226, y=-1.82735
x0=4.74563, x1=8.44157, y=-0.16717
x0=3.56037, x1=1.74902, y=0.57752
x0=-2.29494, x1=-7.04714, y=-1.44085
x0=-7.05579, x1=3.77307, y=-1.28834
x0=5.63298, x1=7.00870, y=0.05817
x0=-3.16299, x1=-5.47102, y=0.74717
x0=-0.74302, x1=6.50564, y=-0.45590
x0=-7.04827, x1=-0.28459, y=-0.97336
x0=-0.66855, x1=-0.94725, y=-1.43166
x0=-1.94990, x1=4.56240, y=-1.91777
x0=-9.84916, x1=3.18044, y=0.37291
x0=-6.97094, x1=-0.21730, y=-0.85040
x0=9.49399, x1=1.94555, y=0.86144
x0=4.90265, x1=-2.51373, y=-1.56937
x0=7.13759, x1=-8.74979, y=0.12929
x0=-4.71815, x1=-1.10357, y=0.10716
x0=9.54379, x1=-4.84828, y=0.87205
x0=-0.53377, x1=-5.24655, y=0.35191
x0=7.78034, x1=4.70663, y=-0.00269
x0=9.69921, x1=-2.72300, y=-0.67748
x0=6.50828, x1=-0.42780, y=-0.19168
x0=2.88010, x1=-7.50202, y=-0.68017
x0=6.96251, x1=-0.95663, y=-0.18899
x0=9.79508, x1=8.06929, y=0.61502
x0=-5.60135, x1=-5.86074, y=1.04020
x0=-9.48108, x1=4.63609, y=-0.94082
x0=5.93774, x1=-2.16807, y=-1.16548
x0=-8.11826, x1=3.70670, y=-1.50079
x0=-1.95741, x1=7.57237, y=0.03442
x0=-4.12251, x1=-7.69640, y=-0.15660
x0=-0.20383, x1=9.90321, y=-0.66280
x0=3.94961, x1=-3.20919, y=-0.65537
x0=1.88108, x1=1.65551, y=1.94866
x0=4.40785, x1=-0.96378, y=-1.77534
x0=3.03143, x1=7.11316, y=0.84785
x0=-7.09002, x1=-5.89959, y=-0.34785
x0=4.43088, x1=6.82285, y=-0.44678
x0=-8.92317, x1=2.00391, y=0.42683
x0=-5.01690, x1=7.10568, y=1.68684
x0=7.88591, x1=-4.65419, y=1.99780
x0=7.09855, x1=-0.32058, y=0.41286
x0=-6.68509, x1=-0.54706, y=-0.91135
x0=-5.31318, x1=-3.61249, y=1.27857
x0=9.41804, x1=-5.01240, y=0.96207
x0=-6.59950, x1=6.53118, y=-0.06560
x0=-9.81107, x1=-1.91078, y=-0.56601
x0=-0.52269, x1=-7.80723, y=-1.49812
x0=-2.39917, x1=1.33165, y=0.29546
x0=-9.39012, x1=3.28920, y=-0.18172
x0=3.64439, x1=-6.21878, y=-0.41752
x0=2.70220, x1=-4.14539, y=1.26891
x0=8.37372, x1=-4.40148, y=1.82000
x0=-1.79008, x1=1.11047, y=-0.08015
x0=8.52479, x1=-7.69451, y=-0.20400
x0=5.69885, x1=7.63610, y=0.42472
x0=-5.53877, x1=9.72203, y=0.38465
x0=-7.33567, x1=3.90482, y=-1.55992
x0=-7.57278, x1=2.35631, y=-0.25370
x0=2.68557, x1=-6.84314, y=-0.09077
x0=0.22574, x1=3.28696, y=0.07897
x0=-2.48009, x1=-7.57875, y=-1.57666
x0=-0.21342, x1=-3.43439, y=0.07683
x0=1.77593, x1=2.22280, y=1.77391
x0=3.77342, x1=1.09729, y=0.29936
x0=-1.93089, x1=-4.79527, y=0.06070
x0=-0.20296, x1=9.80348, y=-0.57129
x0=5.13253, x1=8.15967, y=0.04061
x0=-6.66995, x1=5.90955, y=-0.74219
x0=-8.80518, x1=-8.78808, y=-1.17525
x0=-0.13276, x1=5.27200, y=-0.97983
x0=-2.72914, x1=4.70986, y=-1.40085
x0=-0.00057, x1=-0.88331, y=-0.77341
x0=3.11829, x1=4.92893, y=-0.95334
x0=3.40249, x1=-3.60853, y=0.19221
x0=-4.39219, x1=-8.01371, y=-0.03810
x0=-9.99617, x1=5.90857, y=0.17489
x0=-3.49966, x1=-0.98810, y=-0.48452
x0=8.81787, x1=-8.69862, y=-0.09367
x0=-0.00326, x1=1.95655, y=0.92325
x0=2.17251, x1=4.89553, y=-0.15891
x0=-9.30813, x1=-9.26751, y=-0.27300
x0=4.04200, x1=-3.65195, y=-0.29510
x0=8.72933, x1=8.23630, y=1.56853
x0=8.83300, x1=5.63609, y=-0.04504
x0=8.47902, x1=9.63857, y=0.59877
x0=4.04034, x1=-2.74665, y=-1.16730

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=8.12207, x1=-7.82975, y=-0.03543
x0=-6.65170, x1=-4.86614, y=0.62797
x0=6.26032, x1=6.28191, y=-0.02414
x0=-0.66557, x1=-4.64451, y=0.38019
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=8.80670, x1=-5.12833, y=231.61406
x0=7.11869, x1=-9.81531, y=685.81610
x0=-9.44186, x1=-3.62439, y=-124.03045
x0=-6.16858, x1=9.78488, y=-590.60316
x0=-3.96015, x1=2.95556, y=-34.59316
x0=2.52650, x1=-2.96086, y=22.14896
x0=6.38199, x1=4.81991, y=148.26352
x0=5.92646, x1=-9.10048, y=490.82178
x0=5.30100, x1=6.31492, y=211.39449
x0=-8.98586, x1=2.10727, y=-39.90267
x0=-1.48729, x1=-7.54360, y=-84.63539
x0=-5.44705, x1=-8.64893, y=-407.46127
x0=7.68319, x1=-2.80558, y=60.47654
x0=-7.99125, x1=-0.48693, y=-1.89474
x0=-7.27143, x1=-4.55488, y=-150.86021
x0=0.13472, x1=-3.25938, y=1.43116
x0=-3.59380, x1=9.73239, y=-340.40272
x0=0.61045, x1=-1.50614, y=1.38479
x0=-6.01516, x1=9.74008, y=-570.65369
x0=-9.51443, x1=0.71674, y=-4.88777
x0=8.15108, x1=-9.10345, y=675.50345
x0=-5.46803, x1=1.72032, y=-16.18260
x0=3.73690, x1=3.75394, y=52.66068
x0=-2.09974, x1=-2.39558, y=-12.05003
x0=-8.53785, x1=3.91215, y=-130.67071
x0=-0.98048, x1=-9.34534, y=-85.63057
x0=3.08214, x1=0.67382, y=1.39940
x0=-8.85268, x1=8.81678, y=-688.16866
x0=0.62966, x1=-6.35017, y=25.39095
x0=3.73689, x1=4.64748, y=80.71349
x0=-9.97559, x1=4.20822, y=-176.65909
x0=0.32120, x1=8.25670, y=21.89717
x0=3.98125, x1=5.81592, y=134.66554
x0=8.08380, x1=-4.32585, y=151.27213
x0=5.60285, x1=4.98698, y=139.34265
x0=7.56113, x1=2.25744, y=38.53164
x0=6.80638, x1=-7.02971, y=336.34991
x0=-7.55392, x1=-7.52822, y=-428.11168
x0=-2.89101, x1=-6.56774, y=-124.70421
x0=1.18308, x1=-2.70508, y=8.65715
x0=-3.52371, x1=-9.59975, y=-324.72849
x0=-2.35464, x1=-9.66116, y=-219.77733
x0=3.01149, x1=7.76933, y=181.78120
x0=9.55672, x1=4.51735, y=195.01836
x0=-3.26576, x1=-8.94565, y=-261.34090
x0=6.86141, x1=6.17263, y=261.42930
x0=6.89775, x1=1.21790, y=10.23122
x0=8.41066, x1=-5.40539, y=245.74504
x0=3.44384, x1=-4.42590, y=67.46006
x0=-9.97625, x1=-8.85868, y=-782.89756
x0=-7.90848, x1=0.16719, y=-0.22107
x0=1.66856, x1=9.42287, y=148.15225
x0=5.27368, x1=-3.20694, y=54.23708
x0=-8.06943, x1=-6.38042, y=-328.50494
x0=-2.12274, x1=-3.75430, y=-29.91944
x0=-4.53533, x1=6.75614, y=-207.01659
x0=7.80344, x1=6.38283, y=317.91622
x0=1.03526, x1=3.59372, y=13.37021
x0=8.17425, x1=2.73306, y=61.05839
x0=-9.36327, x1=-0.40051, y=-1.50194
x0=5.31787, x1=-8.67173, y=399.89727
x0=5.99644, x1=0.99024, y=5.87993
x0=-3.76575, x1=-4.08629, y=-62.87941
x0=-0.71555, x1=-0.24220, y=-0.04197
x0=7.32294, x1=5.54112, y=224.84403
x0=-7.70521, x1=2.02404, y=-31.56630
x0=0.17421, x1=3.73511, y=2.43038
x0=9.62149, x1=0.16395, y=0.25862
x0=4.90540, x1=-3.83935, y=72.30847
x0=2.56828, x1=-1.79983, y=8.31966
x0=4.74520, x1=-8.09453, y=310.91240
x0=-9.50450, x1=8.70789, y=-720.70027
x0=7.27332, x1=1.99880, y=29.05836
x0=5.54895, x1=7.86564, y=343.30398
x0=1.98673, x1=1.10647, y=2.43231
x0=1.26063, x1=2.86468, y=10.34522
x0=-6.67394, x1=-5.08428, y=-172.52074
x0=-4.06904, x1=-8.49388, y=-293.56451
x0=3.08109, x1=-4.75748, y=69.73616
x0=-3.25349, x1=-7.13793, y=-165.76539
x0=5.88951, x1=9.07850, y=485.40912
x0=-6.66782, x1=1.76594, y=-20.79386
x0=-1.18176, x1=0.06594, y=-0.00514
x0=-2.69094, x1=7.66217, y=-157.98167
x0=5.16864, x1=-8.53380, y=376.40995
x0=-7.74639, x1=-3.16864, y=-77.77573
x0=-0.45911, x1=-6.43488, y=-19.01061
x0=9.77437, x1=-1.44471, y=20.40098
x0=1.12437, x1=4.26589, y=20.46121
x0=-5.04200, x1=1.83743, y=-17.02255
x0=6.83310, x1=-5.59900, y=214.20957
x0=3.68742, x1=9.70438, y=347.26310
x0=-2.43275, x1=5.23316, y=-66.62316
x0=3.66166, x1=-0.10858, y=0.04317
x0=3.58811, x1=7.57226, y=205.73914
x0=-7.96996, x1=0.27334, y=-0.59550

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=2.45999, x1=6.92351, y=117.91980
x0=0.95135, x1=9.24982, y=81.39674
x0=-7.49991, x1=3.27345, y=-80.36512
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=7.71024, y=241399.47048
x0=9.03808, y=612885.71776
x0=3.09147, y=1288.85857
x0=-9.28309, y=577729.97405
x0=1.90174, y=97.65586
x0=1.98202, y=120.34157
x0=6.94047, y=130586.23321
x0=-8.74541, y=401476.52711
x0=-6.38389, y=58520.00889
x0=-7.83966, y=205893.09273
x0=0.01162, y=0.01176
x0=-6.29198, y=53537.51262
x0=3.14240, y=1410.84157
x0=-0.23126, y=-0.18780
x0=5.69947, y=41569.91832
x0=3.83190, y=4282.39126
x0=-3.59631, y=1691.94906
x0=1.52919, y=34.06077
x0=9.04414, y=615304.87502
x0=-6.52839, y=67132.80111
x0=-5.54815, y=24711.81887
x0=-8.19654, y=270264.12375
x0=0.77840, y=2.73126
x0=4.40311, y=9427.11478
x0=4.61039, y=12262.07684
x0=3.18825, y=1528.82886
x0=-2.05927, y=50.65791
x0=-5.16199, y=15848.04391
x0=-2.45704, y=155.66904
x0=-3.39292, y=1177.53635
x0=-4.01659, y=3361.15537
x0=-5.47628, y=22806.34590
x0=-3.05009, y=605.59635
x0=-0.92776, y=-0.17437
x0=2.45413, y=367.01506
x0=-8.47141, y=330577.34234
x0=5.98921, y=55404.68385
x0=-5.31622, y=18999.58203
x0=2.04703, y=141.89477
x0=-1.05268, y=0.18500
x0=-2.30512, y=103.93412
x0=-5.36415, y=20079.33342
x0=-7.86275, y=209629.11577
x0=3.75893, y=3841.98285
x0=-3.67034, y=1920.51317
x0=2.96857, y=1030.49660
x0=9.43735, y=790212.23154
x0=5.79802, y=45907.67621
x0=6.02145, y=57156.71932
x0=2.48412, y=391.63930
x0=-8.25475, y=282203.20188
x0=-4.35048, y=5511.93864
x0=3.68511, y=3435.73826
x0=-9.49611, y=663424.57173
x0=-9.39356, y=620933.60422
x0=-4.18072, y=4308.08872
x0=-7.67612, y=180993.95821
x0=0.09927, y=0.11021
x0=6.61414, y=98633.32691
x0=-1.44789, y=4.85795
x0=5.71192, y=42098.38986
x0=2.81492, y=770.07776
x0=7.32362, y=178694.70308
x0=4.75022, y=14551.35773
x0=8.42230, y=405017.57237
x0=-3.71740, y=2078.76682
x0=-2.57518, y=209.34787
x0=0.32715, y=0.48561
x0=-8.46966, y=330160.88720
x0=5.92620, y=52109.06935
x0=7.28435, y=173169.71968
x0=-1.41221, y=4.05850
x0=-3.38559, y=1161.77965
x0=-6.52206, y=66734.77602
x0=1.11545, y=8.94857
x0=-3.36593, y=1120.36907
x0=-8.59666, y=361564.45399

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=-8.32829, y=297912.43029
x0=-1.80412, y=21.54150
x0=0.54295, y=1.15751
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=0.33116, y=0.62658
x0=3.70747, y=1.74068
x0=7.90856, y=2.39825
x0=3.49456, y=1.69768
x0=8.14543, y=2.42838
x0=0.34375, y=0.63655
x0=9.15356, y=2.55125
x0=9.67777, y=2.61206
x0=7.93321, y=2.40141
x0=8.59799, y=2.48456
x0=4.09584, y=1.81560
x0=2.57621, y=1.49226
x0=2.93157, y=1.57610
x0=2.47685, y=1.46764
x0=0.08074, y=0.34491
x0=3.07204, y=1.60761
x0=0.54530, y=0.77374
x0=3.95094, y=1.78815
x0=8.17653, y=2.43230
x0=6.13569, y=2.15410
x0=5.36422, y=2.03508
x0=8.85191, y=2.51534
x0=5.06336, y=1.98599
x0=5.69218, y=2.08681
x0=3.67061, y=1.73334
x0=1.15106, y=1.06131
x0=8.10789, y=2.42364
x0=3.34391, y=1.66632
x0=9.37964, y=2.57771
x0=1.86792, y=1.30252
x0=1.28639, y=1.11241
x0=0.27828, y=0.58212
x0=2.90342, y=1.56968
x0=5.51010, y=2.05831
x0=1.49687, y=1.18605
x0=2.45082, y=1.46110
x0=1.10077, y=1.04145
x0=7.37693, y=2.32869
x0=2.46027, y=1.46348
x0=6.40520, y=2.19363
x0=5.87502, y=2.11491
x0=3.15582, y=1.62602
x0=8.13550, y=2.42713
x0=4.82201, y=1.94539
x0=4.99186, y=1.97408
x0=1.53373, y=1.19832
x0=2.49617, y=1.47247
x0=3.69737, y=1.73868
x0=3.51263, y=1.70138
x0=7.74197, y=2.37675
x0=3.50379, y=1.69957
x0=3.30406, y=1.65790
x0=9.17524, y=2.55380
x0=8.00176, y=2.41017
x0=0.59622, y=0.80352
x0=0.89264, y=0.95310
x0=0.43893, y=0.70588
x0=7.90829, y=2.39822
x0=8.06132, y=2.41774
x0=3.10587, y=1.61508
x0=9.66369, y=2.61045
x0=3.20629, y=1.63696
x0=8.92252, y=2.52381
x0=1.59162, y=1.21724
x0=8.20453, y=2.43582
x0=5.19464, y=2.00761
x0=1.51295, y=1.19142
x0=4.56121, y=1.90016
x0=5.93009, y=2.12327
x0=1.58322, y=1.21453
x0=2.28125, y=1.41745
x0=6.59357, y=2.22069
x0=5.63267, y=2.07755
x0=8.06198, y=2.41783
x0=6.87085, y=2.25972
x0=9.60335, y=2.60354
x0=0.58240, y=0.79559
x0=9.16427, y=2.55251
x0=0.21514, y=0.52209
x0=2.95232, y=1.58081
x0=1.23542, y=1.09355
x0=6.29038, y=2.17691
x0=2.83370, y=1.55362
x0=4.82767, y=1.94635
x0=3.25440, y=1.64731
x0=7.23154, y=2.30916
x0=2.40168, y=1.44863
x0=6.24451, y=2.17018
x0=9.31165, y=2.56979
x0=3.24849, y=1.64604
x0=4.28717, y=1.85101
x0=4.83138, y=1.94698
x0=0.22223, y=0.52930
x0=0.21268, y=0.51955
x0=7.33129, y=2.32258
x0=3.73044, y=1.74524
x0=9.37650, y=2.57735
x0=7.19126, y=2.30371
x0=8.42723, y=2.46357
x0=2.99835, y=1.59119
x0=2.93796, y=1.57755
x0=3.09823, y=1.61340
x0=4.61797, y=1.91013
x0=7.38109, y=2.32924
x0=1.40355, y=1.15419
x0=0.87550, y=0.94531
x0=5.04518, y=1.98297
x0=6.93532, y=2.26867

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=6.92594, y=2.26737
x0=4.58096, y=1.90364
x0=1.41926, y=1.15964
x0=1.36551, y=1.14085
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=9.40284, x1=9.49204, y=14.20492
x0=7.52112, x1=-1.95627, y=-2.34171
x0=-2.87994, x1=5.29040, y=-2.42489
x0=-6.84534, x1=-3.62096, y=3.94492
x0=6.73413, x1=-3.34365, y=-3.58362
x0=7.67140, x1=-9.33663, y=-11.39948
x0=3.25408, x1=1.31021, y=0.67856
x0=6.74612, x1=-4.52822, y=-4.86185
x0=6.46427, x1=-2.25249, y=-2.31741
x0=-8.81069, x1=4.52085, y=-6.33943
x0=-3.94524, x1=-2.21435, y=1.39040
x0=-8.38545, x1=5.22466, y=-6.97275
x0=-3.11513, x1=-3.27556, y=1.62398
x0=7.30782, x1=5.51119, y=6.40993
x0=9.59871, x1=-3.63885, y=-5.55901
x0=6.27613, x1=7.95946, y=7.95052
x0=-4.29396, x1=4.30371, y=-2.94118
x0=6.94190, x1=-6.39032, y=-7.06026
x0=9.21583, x1=3.35054, y=4.91439
x0=-7.58506, x1=6.92399, y=-8.35863
x0=-3.33073, x1=2.77422, y=-1.47062
x0=-0.61721, x1=7.98918, y=-0.78480
x0=-4.08992, x1=-1.41904, y=0.92370
x0=-6.03932, x1=2.65505, y=-2.55200
x0=-6.25827, x1=3.53232, y=-3.51831
x0=2.37695, x1=-5.37505, y=-2.03340
x0=-8.82617, x1=-6.46716, y=9.08460
x0=-6.76086, x1=-8.80065, y=9.46972
x0=8.68232, x1=-4.52959, y=-6.25914
x0=-5.88825, x1=1.02470, y=-0.96029
x0=-0.79831, x1=-7.01088, y=0.89076
x0=3.24381, x1=-9.77023, y=-5.04405
x0=-5.74452, x1=0.64621, y=-0.59081
x0=7.33312, x1=-0.82022, y=-0.95728
x0=4.32009, x1=2.15539, y=1.48197
x0=3.50717, x1=-9.44351, y=-5.27121
x0=-5.57379, x1=-1.72627, y=1.53137
x0=2.35388, x1=-3.99870, y=-1.49804
x0=-4.76651, x1=-2.37378, y=1.80078
x0=-8.32527, x1=9.88148, y=-13.09303
x0=5.10998, x1=-4.35249, y=-3.53979
x0=-2.42216, x1=0.70453, y=-0.27160
x0=9.02092, x1=-6.28539, y=-9.02409
x0=7.26224, x1=-4.93267, y=-5.70129
x0=-4.74338, x1=-2.05595, y=1.55211
x0=1.27253, x1=-0.19716, y=-0.03993
x0=8.27986, x1=3.89328, y=5.13049
x0=5.77374, x1=3.74808, y=3.44418
x0=3.46521, x1=-1.14166, y=-0.62963
x0=9.09758, x1=0.29232, y=0.42326
x0=-2.35040, x1=-3.75743, y=1.40557
x0=0.05366, x1=9.76572, y=0.08340
x0=7.95033, x1=-6.72769, y=-8.51278
x0=5.06521, x1=1.81293, y=1.46150
x0=9.28538, x1=-9.16067, y=-13.53777
x0=0.01427, x1=-6.41399, y=-0.01456
x0=7.60932, x1=-1.87360, y=-2.26904
x0=-2.53820, x1=-1.18159, y=0.47732
x0=8.90400, x1=-0.28697, y=-0.40667
x0=5.19812, x1=-8.15976, y=-6.75062
x0=-5.07375, x1=7.22087, y=-5.83095
x0=-7.36742, x1=-7.42521, y=8.70651
x0=-8.95703, x1=8.75233, y=-12.47693
x0=-1.01799, x1=5.78207, y=-0.93680
x0=1.90117, x1=-6.65626, y=-2.01405
x0=-8.54192, x1=6.41811, y=-8.72535
x0=1.43109, x1=9.74582, y=2.21975
x0=-9.74021, x1=-0.65566, y=1.01641
x0=8.17426, x1=9.62821, y=12.52604
x0=1.75139, x1=-1.22094, y=-0.34033
x0=-3.60265, x1=-1.84951, y=1.06047
x0=-2.29520, x1=-6.46538, y=2.36175
x0=-6.69933, x1=-9.59515, y=10.23066
x0=6.31861, x1=0.32731, y=0.32915
x0=-1.51172, x1=6.44444, y=-1.55052
x0=-0.24544, x1=-0.55752, y=0.02178
x0=1.10432, x1=-6.58215, y=-1.15686
x0=8.51992, x1=7.51280, y=10.18726
x0=-4.97264, x1=3.03621, y=-2.40292
x0=6.69278, x1=-2.36609, y=-2.52033
x0=-5.92724, x1=3.60416, y=-3.39998
x0=-7.25651, x1=7.46747, y=-8.62425
x0=-7.39100, x1=8.93211, y=-10.50696
x0=-7.37715, x1=-7.23882, y=8.49917
x0=4.49717, x1=0.11834, y=0.08470
x0=-9.93033, x1=-0.84810, y=1.34039
x0=-0.39741, x1=8.01437, y=-0.50690
x0=2.96018, x1=3.69299, y=1.73987
x0=6.69007, x1=4.43391, y=4.72104
x0=-2.38136, x1=-7.82777, y=2.96677
x0=4.72218, x1=-8.36922, y=-6.28996
x0=8.74767, x1=8.29717, y=11.55161
x0=0.32609, x1=2.95386, y=0.15330
x0=-7.35797, x1=4.91858, y=-5.75993
x0=2.95716, x1=-2.23671, y=-1.05270
x0=0.53706, x1=-9.18198, y=-0.78483
x0=-4.67379, x1=7.45004, y=-5.54176
x0=8.61508, x1=-6.21574, y=-8.52260
x0=3.39996, x1=-2.85299, y=-1.54381
x0=2.13985, x1=2.23212, y=0.76019
x0=-3.86901, x1=-5.86545, y=3.61178
x0=7.82453, x1=8.25554, y=10.28073
x0=-5.86795, x1=2.55437, y=-2.38556
x0=-2.16805, x1=1.63320, y=-0.56355
x0=7.33210, x1=7.41477, y=8.65260
x0=-5.14424, x1=-5.85208, y=4.79127
x0=-7.99375, x1=-5.54693, y=7.05705
x0=5.91271, x1=8.35729, y=7.86452
x0=-7.23432, x1=-0.70748, y=0.81458
x0=8.31843, x1=-4.57985, y=-6.06335
x0=-8.98463, x1=9.56313, y=-13.67479
x0=-9.39885, x1=-1.60336, y=2.39843
x0=1.80262, x1=-2.36923, y=-0.67972
x0=-3.34725, x1=-5.32597, y=2.83731
x0=-2.19800, x1=-3.35080, y=1.17218

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=-9.07034, x1=-1.16232, y=1.67791
x0=-1.97768, x1=-3.38272, y=1.06474
x0=8.42041, x1=0.98917, y=1.32564
x0=-3.36253, x1=8.34249, y=-4.46460
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=8.49704, x1=-0.06552, y=0.53043
x0=-5.65203, x1=0.60653, y=-0.59991
x0=-0.92408, x1=-7.66489, y=-4.20426
x0=7.67402, x1=-1.71298, y=-1.44257
x0=-6.78122, x1=0.72886, y=-0.86687
x0=-1.75538, x1=0.04875, y=0.91680
x0=7.88074, x1=-6.80180, y=-1.84100
x0=5.59874, x1=9.19375, y=-2.18567
x0=-1.06327, x1=-7.07931, y=-3.98798
x0=1.48787, x1=8.25361, y=-2.96979
x0=-9.36266, x1=-1.17301, y=-3.12746
x0=6.39421, x1=6.33375, y=-2.24000
x0=3.23066, x1=-4.21275, y=-1.45816
x0=5.75693, x1=6.31790, y=-2.26969
x0=-0.43151, x1=0.37261, y=0.84739
x0=-7.90434, x1=0.07588, y=0.50016
x0=9.40333, x1=4.33541, y=-2.23830
x0=0.61689, x1=3.94726, y=13.92949
x0=3.47701, x1=0.26253, y=2.31206
x0=-8.59837, x1=-7.45274, y=-2.14734
x0=-5.19548, x1=-5.06993, y=-2.38559
x0=7.02416, x1=2.56557, y=-2.59916
x0=2.81473, x1=-3.42427, y=-1.28788
x0=-3.44339, x1=4.84493, y=-1.54275
x0=-9.48607, x1=-9.20795, y=-2.10670
x0=3.42329, x1=-4.16356, y=-1.47835
x0=-6.37938, x1=8.31962, y=-1.83950
x0=-7.97250, x1=-2.10448, y=-2.65322
x0=6.87502, x1=4.48254, y=-2.32354
x0=-0.87295, x1=5.97711, y=-0.90481
x0=3.27661, x1=4.39175, y=-2.79016
x0=9.61356, x1=2.60446, y=-2.40838
x0=1.60239, x1=-6.19101, y=-1.30343
x0=5.40438, x1=-8.33417, y=-1.81266
x0=3.57169, x1=-0.14569, y=0.55657
x0=-6.18541, x1=-4.37413, y=-2.37413
x0=-4.80262, x1=-4.66405, y=-2.46393
x0=-8.06335, x1=9.98784, y=-1.89226
x0=6.93182, x1=1.15256, y=-3.80384
x0=9.63446, x1=-3.11555, y=-1.72741
x0=-3.07877, x1=8.10482, y=-1.67803
x0=0.60758, x1=4.18170, y=17.59494
x0=-8.27478, x1=9.42043, y=-1.88882
x0=-6.50517, x1=9.55941, y=-1.86193
x0=-2.29557, x1=-1.54160, y=-18.70198
x0=-5.76327, x1=3.64416, y=-1.62504
x0=-9.83346, x1=-7.15813, y=-2.13355
x0=-3.13561, x1=7.47320, y=-1.65952
x0=8.16058, x1=9.46734, y=-2.12120
x0=4.29352, x1=6.33948, y=-2.37161
x0=3.24356, x1=-8.03043, y=-1.69016
x0=-1.50918, x1=-3.37283, y=-6.30580
x0=-1.05473, x1=-0.17530, y=1.19704
x0=-8.77594, x1=5.06376, y=-1.81028
x0=6.72104, x1=5.98210, y=-2.24190
x0=4.89505, x1=-3.74171, y=-1.57778
x0=8.59176, x1=-8.99341, y=-1.88788
x0=2.30475, x1=-9.66631, y=-1.64397
x0=-3.36286, x1=0.10178, y=0.69279
x0=-9.97338, x1=3.46156, y=-1.76015
x0=2.79723, x1=-4.24776, y=-1.39524
x0=2.62482, x1=-6.96446, y=-1.57708
x0=9.43471, x1=0.18949, y=5.42468
x0=-1.53784, x1=-5.70557, y=-3.55863
x0=0.60648, x1=6.35755, y=-12.51723
x0=6.24930, x1=7.44180, y=-2.20687
x0=-6.60077, x1=-3.19274, y=-2.49794
x0=7.82460, x1=6.97485, y=-2.17450
x0=6.85638, x1=-3.26606, y=-1.64558
x0=-2.89660, x1=8.51596, y=-1.67471
x0=6.29936, x1=-5.99557, y=-1.77924
x0=2.52839, x1=2.37838, y=-4.98659
x0=-4.48072, x1=-8.45784, y=-2.25790
x0=-2.77047, x1=-8.09783, y=-2.46309
x0=5.64968, x1=-4.77293, y=-1.69965
x0=-8.86530, x1=6.29910, y=-1.84705
x0=-2.88598, x1=5.25576, y=-1.50462
x0=-4.35970, x1=0.35982, y=-0.03007
x0=-2.28338, x1=-1.59584, y=-15.97730
x0=-1.66872, x1=1.52017, y=-0.37450
x0=9.81947, x1=-8.02177, y=-1.88993
x0=0.89175, x1=4.84739, y=-8.80448
x0=0.77638, x1=0.71853, y=1.68528
x0=2.42022, x1=-5.17116, y=-1.41993
x0=-1.41651, x1=-5.58582, y=-3.83212
x0=-5.38067, x1=5.50679, y=-1.72418
x0=4.64638, x1=2.78121, y=-2.90703
x0=4.19456, x1=8.22778, y=-2.28561
x0=-6.78911, x1=-4.02726, y=-2.36974
x0=9.18800, x1=-5.88021, y=-1.84218
x0=-3.05596, x1=-2.04038, y=-4.78180
x0=-5.71787, x1=-4.45690, y=-2.40029
x0=-1.81774, x1=2.19227, y=-0.71152
x0=-9.12820, x1=-2.46827, y=-2.46081

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=-0.69684, x1=-0.09570, y=1.06820
x0=4.77268, x1=7.83134, y=-2.26181
x0=-9.16202, x1=-3.71373, y=-2.29009
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=2.69482, x1=1.80977, y=32.99538
x0=6.82274, x1=8.87677, y=1879.80481
x0=5.75371, x1=5.29071, y=914.18024
x0=8.63414, x1=5.34001, y=4922.71402
x0=-6.94803, x1=0.54747, y=2665.50145
x0=-4.66393, x1=5.35065, y=583.57631
x0=2.93972, x1=4.47297, y=54.80888
x0=0.94848, x1=7.76119, y=22.31290
x0=-0.54438, x1=-3.30678, y=9.02332
x0=0.75847, x1=-7.85396, y=38.59092
x0=3.65301, x1=-5.83568, y=152.19063
x0=-6.59143, x1=0.00481, y=2174.00407
x0=-1.98387, x1=6.24480, y=36.55221
x0=-2.61764, x1=0.95386, y=64.38773
x0=9.17195, x1=-3.07842, y=6313.19052
x0=-8.43779, x1=3.86834, y=5673.27289
x0=5.89515, x1=-9.98539, y=1062.72261
x0=-6.37896, x1=-4.05074, y=1927.59000
x0=-6.40347, x1=7.96291, y=1967.67135
x0=-2.41967, x1=-4.67913, y=64.07153
x0=8.30138, x1=5.74072, y=4187.65029
x0=-2.77009, x1=3.35670, y=82.41442
x0=7.79761, x1=2.56990, y=3223.59277
x0=-6.80730, x1=-7.01259, y=2494.38605
x0=-0.99893, x1=-5.98949, y=25.91902
x0=-5.33618, x1=6.49773, y=977.37138
x0=-6.64259, x1=8.37158, y=2266.69265
x0=-1.03255, x1=-6.84229, y=32.48835
x0=-7.88284, x1=-0.97415, y=4352.56565
x0=0.93952, x1=-6.39006, y=26.75635
x0=0.77332, x1=-2.62992, y=5.98333
x0=-3.98074, x1=2.57794, y=314.93036
x0=-5.24636, x1=1.53002, y=901.62876
x0=-7.03496, x1=4.94113, y=2804.74952
x0=2.43004, x1=-5.86662, y=43.59577
x0=0.05881, x1=-6.43646, y=27.15025
x0=-7.70172, x1=9.57026, y=4011.50515
x0=-7.86701, x1=-6.16191, y=4342.39515
x0=0.92154, x1=-6.09606, y=24.61562
x0=-3.75979, x1=-4.97893, y=270.34984
x0=6.27341, x1=-7.01729, y=1333.61143
x0=7.11634, x1=7.05524, y=2222.09124
x0=6.87057, x1=-3.89117, y=1915.41942
x0=7.92296, x1=3.12032, y=3444.88899
x0=-0.38311, x1=5.41250, y=9.31283
x0=-7.20968, x1=-3.07032, y=3084.40720
x0=4.94770, x1=-9.32214, y=530.91401
x0=9.84228, x1=7.56008, y=8451.47714
x0=-2.28007, x1=8.84978, y=69.18943
x0=9.83009, x1=-5.57346, y=8408.71817
x0=-4.15997, x1=6.12772, y=384.11216
x0=0.03861, x1=-1.98393, y=3.95187
x0=1.14794, x1=4.57699, y=6.12123
x0=-1.69586, x1=-7.81351, y=51.48737
x0=-7.74418, x1=0.48000, y=4060.74396
x0=4.22321, x1=-4.20995, y=255.85485
x0=9.51007, x1=4.87059, y=7326.54555
x0=-8.43593, x1=-1.41100, y=5667.19881
x0=9.76298, x1=4.55999, y=8160.38492
x0=-8.20192, x1=0.19722, y=5077.03870
x0=-5.39012, x1=8.55909, y=1028.77424
x0=4.26405, x1=-6.48040, y=280.53715
x0=-1.00171, x1=-1.99651, y=6.00153
x0=7.29105, x1=1.30958, y=2437.88842
x0=-5.65370, x1=-4.41958, y=1216.62057
x0=6.95617, x1=5.18147, y=2013.07782
x0=6.57433, x1=1.82258, y=1583.80596
x0=-5.24370, x1=-4.15673, y=913.02944
x0=-6.00531, x1=1.74465, y=1516.94854
x0=-2.65550, x1=7.96877, y=92.23378
x0=8.83253, x1=9.95762, y=5436.68615
x0=2.12295, x1=-5.74689, y=33.00450
x0=-1.87535, x1=-8.74547, y=65.95146
x0=-8.37075, x1=-4.89004, y=5513.10370
x0=2.70473, x1=1.45332, y=33.33358
x0=1.32889, x1=9.43887, y=35.87914
x0=0.40915, x1=7.78330, y=22.46611
x0=4.67399, x1=-6.03378, y=399.38505
x0=6.78407, x1=2.53289, y=1806.61710
x0=-5.90595, x1=8.41657, y=1449.63123
x0=9.13656, x1=1.19128, y=6205.19499
x0=-7.91607, x1=8.67929, y=4451.82673
x0=5.08822, x1=3.64972, y=541.56728
x0=0.41326, x1=8.77555, y=29.68817

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=-9.71487, x1=0.41445, y=9823.89732
x0=9.46206, x1=0.94290, y=7168.08070
x0=-5.70556, x1=-8.49478, y=1290.03471
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=-3.39642, x1=0.21022, y=-1.40323
x0=6.76819, x1=-0.39717, y=5.61366
x0=3.74347, x1=-7.75596, y=-0.27705
x0=4.00100, x1=5.14246, y=0.32568
x0=-0.82642, x1=-7.34352, y=0.06514
x0=-8.91304, x1=-6.97333, y=0.74607
x0=-1.78011, x1=5.57161, y=-0.13544
x0=-5.75673, x1=-0.87891, y=-23.76984
x0=6.28995, x1=-5.12542, y=-0.76234
x0=-8.90074, x1=9.62826, y=-0.41873
x0=0.37589, x1=9.84220, y=0.01733
x0=8.18139, x1=7.90629, y=0.45930
x0=0.91115, x1=1.53353, y=0.17982
x0=3.81126, x1=5.42404, y=0.29664
x0=-3.91317, x1=4.47898, y=-0.35711
x0=1.33878, x1=-4.33608, y=-0.20065
x0=2.58486, x1=2.96329, y=0.32610
x0=-3.49516, x1=7.19799, y=-0.21317
x0=-6.13482, x1=7.86753, y=-0.34591
x0=5.02975, x1=-8.99714, y=-0.31447
x0=-5.83216, x1=2.82335, y=-0.76270
x0=-8.33339, x1=0.02162, y=-4.07853
x0=-7.50428, x1=-6.15342, y=0.72809
x0=-2.07323, x1=-6.75997, y=0.17997
x0=-0.96030, x1=6.95783, y=-0.06034
x0=-4.13955, x1=-6.42553, y=0.38149
x0=-1.00770, x1=-5.89967, y=0.10283
x0=4.98092, x1=5.70459, y=0.37146
x0=3.69447, x1=6.25613, y=0.25458
x0=7.08279, x1=0.54653, y=2.28989
x0=-6.88105, x1=-2.38497, y=2.48419
x0=1.79628, x1=0.99032, y=0.45125
x0=2.69336, x1=-7.60550, y=-0.20387
x0=5.81775, x1=-0.09417, y=3.21128
x0=3.44284, x1=0.64246, y=1.04807
x0=-4.59145, x1=-1.83748, y=2.74122
x0=-2.59803, x1=0.39695, y=-0.92990
x0=2.54965, x1=8.74526, y=0.13081
x0=6.98461, x1=-7.25388, y=-0.55842
x0=7.33296, x1=2.61114, y=1.01532
x0=5.60803, x1=2.41862, y=0.82022
x0=-2.20325, x1=9.70062, y=-0.10295
x0=3.33099, x1=-7.01086, y=-0.27708
x0=5.17551, x1=-2.50244, y=-1.72237
x0=2.86789, x1=5.20849, y=0.23096
x0=3.63760, x1=1.43320, y=0.74749
x0=-4.51461, x1=-4.98344, y=0.56667
x0=9.42124, x1=4.80614, y=0.81132
x0=-7.48558, x1=3.50823, y=-0.83021
x0=9.96283, x1=7.41846, y=0.59173
x0=7.42279, x1=7.36197, y=0.44384
x0=-9.98128, x1=8.18296, y=-0.54347
x0=5.20278, x1=-2.12087, y=-2.32087
x0=-5.64193, x1=8.15282, y=-0.30821
x0=5.87233, x1=-8.23855, y=-0.40563
x0=-5.21057, x1=-1.99709, y=2.61290
x0=4.76728, x1=-7.14471, y=-0.38792
x0=-0.81543, x1=-2.45893, y=0.27946
x0=9.30611, x1=4.79443, y=0.80302
x0=-0.80556, x1=9.94849, y=-0.03679
x0=-6.71139, x1=-6.24108, y=0.64027
x0=4.62148, x1=-0.79036, y=11.02229
x0=-6.33598, x1=6.87112, y=-0.40248
x0=-7.72626, x1=-3.37321, y=1.62781
x0=2.36971, x1=-0.46205, y=2.20251
x0=3.39600, x1=6.27596, y=0.23337
x0=1.13216, x1=5.61209, y=0.08561
x0=-7.14556, x1=-5.16932, y=0.85692
x0=-5.37871, x1=0.62751, y=-1.65243
x0=9.59686, x1=-6.58542, y=-0.85910
x0=-0.90670, x1=-2.01727, y=0.44565
x0=9.90615, x1=6.60429, y=0.65135
x0=-0.27705, x1=-6.94397, y=0.02331
x0=-3.99882, x1=-7.37029, y=0.31386
x0=-1.30094, x1=-8.96377, y=0.08168
x0=-4.35571, x1=-0.72884, y=-8.03172
x0=-8.56822, x1=6.17009, y=-0.59750
x0=9.66304, x1=-7.35671, y=-0.76007
x0=-7.98403, x1=4.57725, y=-0.71577
x0=-0.18250, x1=2.05793, y=-0.02984
x0=-9.70084, x1=-4.38881, y=1.43130
x0=6.91177, x1=5.21870, y=0.55572
x0=-3.34321, x1=4.41622, y=-0.30863
x0=-5.24168, x1=-2.17233, y=2.23558
x0=9.78640, x1=-6.28798, y=-0.92534
x0=1.54236, x1=-0.98459, y=50.03231
x0=-9.59771, x1=-4.35833, y=1.42894
x0=4.01362, x1=-9.07837, y=-0.24842
x0=6.32229, x1=-1.25872, y=-12.21852
x0=-1.35421, x1=6.37265, y=-0.09184
x0=4.23176, x1=4.53816, y=0.38205
x0=-5.64443, x1=9.26110, y=-0.27504
x0=-7.86327, x1=4.43796, y=-0.72300
x0=3.17293, x1=-8.87023, y=-0.20158
x0=4.59444, x1=4.67401, y=0.40487
x0=7.00272, x1=-6.31354, y=-0.65895
x0=-3.94109, x1=4.64064, y=-0.34935
x0=1.64001, x1=6.47384, y=0.10972
x0=0.11013, x1=-4.18845, y=-0.01727
x0=8.13437, x1=-7.03023, y=-0.67447
x0=-2.06582, x1=-3.07201, y=0.49851
x0=-0.08673, x1=-4.17179, y=0.01367
x0=7.35689, x1=3.43285, y=0.82981

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=6.07513, x1=-5.05788, y=-0.74856
x0=-2.27666, x1=-3.86026, y=0.39798
x0=9.81478, x1=-6.11669, y=-0.95909
x0=8.25226, x1=3.91107, y=0.84017
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=-4.99949, x1=1.94384, y=-0.84914
x0=4.12519, x1=-7.42671, y=-0.32094
x0=9.13493, x1=7.41405, y=0.54284
x0=-6.25523, x1=4.52245, y=-0.56635
x0=-0.22202, x1=-2.35170, y=0.08213
x0=-8.09171, x1=-7.65660, y=0.60780
x0=-5.63700, x1=-1.32137, y=8.77032
x0=-8.69467, x1=6.02300, y=-0.61901
x0=9.27871, x1=-2.67032, y=-2.77752
x0=-3.97401, x1=-0.10786, y=-2.22724
x0=8.13676, x1=7.11483, y=0.50135
x0=7.06403, x1=-9.43398, y=-0.41878
x0=8.82484, x1=2.27112, y=1.34890
x0=4.16247, x1=0.91378, y=1.08750
x0=-1.66707, x1=-0.61215, y=-2.14915
x0=9.09686, x1=-6.93053, y=-0.76695
x0=-8.63490, x1=-8.84634, y=0.55025
x0=8.07514, x1=6.66096, y=0.52703
x0=3.09034, x1=4.44417, y=0.28382
x0=-0.82642, x1=-7.34352, y=0.06514
x0=-4.24603, x1=-1.21501, y=9.87387
x0=-0.05394, x1=-3.85197, y=0.00946
x0=8.28207, x1=-3.59794, y=-1.59397
x0=6.25994, x1=0.96710, y=1.59116
x0=0.06633, x1=-7.18020, y=-0.00537
x0=-0.34902, x1=-5.83357, y=0.03610
x0=-9.07116, x1=-9.35604, y=0.54279
x0=-5.40071, x1=1.04692, y=-1.31923
x0=-9.15264, x1=3.43246, y=-1.03246
x0=9.96003, x1=-7.89043, y=-0.72274
x0=-0.16766, x1=8.30080, y=-0.00901
x0=-1.24088, x1=-3.01248, y=0.30830
x0=-4.68827, x1=9.34139, y=-0.22668
x0=6.23869, x1=7.78817, y=0.35495
x0=-3.49516, x1=7.19799, y=-0.21317
x0=-5.66180, x1=-3.08528, y=1.35757
x0=8.41380, x1=-7.12655, y=-0.68667
x0=8.31407, x1=5.43874, y=0.64563
x0=7.69937, x1=0.54094, y=2.49827
x0=0.72936, x1=-6.77404, y=-0.06316
x0=-5.46891, x1=1.73825, y=-0.99861
x0=-2.08383, x1=3.51420, y=-0.23081
x0=-4.08766, x1=-8.07602, y=0.28884
x0=-9.17640, x1=-8.65735, y=0.59919
x0=4.00476, x1=-2.70782, y=-1.17248
x0=-8.12912, x1=3.29840, y=-0.94560
x0=-6.59926, x1=6.68282, y=-0.42948
x0=5.88100, x1=1.36831, y=1.24160
x0=0.89316, x1=-0.30885, y=0.64614
x0=8.77661, x1=-5.11385, y=-1.06671
x0=-4.34836, x1=3.84698, y=-0.44856
x0=1.95507, x1=8.09022, y=0.10754
x0=3.81126, x1=5.42404, y=0.29664
x0=2.31271, x1=-3.81102, y=-0.41136
x0=9.22090, x1=-4.80718, y=-1.21099
x0=-3.29977, x1=-0.22820, y=-2.13770
x0=8.83980, x1=-1.50885, y=-8.68608
x0=-1.56445, x1=-0.45005, y=-1.42236
x0=3.84562, x1=-3.42761, y=-0.79206
x0=6.88383, x1=4.77921, y=0.59557
x0=7.79438, x1=-1.39563, y=-9.85070
x0=4.00749, x1=-3.54577, y=-0.78709
x0=-2.08387, x1=-5.11451, y=0.25323
x0=-3.73770, x1=0.64407, y=-1.13672
x0=2.37912, x1=-2.23424, y=-0.96380
x0=4.05500, x1=-1.67077, y=-3.02262
x0=-6.46068, x1=-4.87397, y=0.83386
x0=7.62716, x1=6.71015, y=0.49462
x0=-4.15953, x1=-7.32702, y=0.32871
x0=-1.16387, x1=6.12139, y=-0.08172
x0=-1.80047, x1=-5.82488, y=0.18658
x0=-3.26604, x1=4.14824, y=-0.31720
x0=-4.02806, x1=-0.20348, y=-2.52853
x0=-7.46336, x1=-6.17794, y=0.72069
x0=-7.73362, x1=-0.23759, y=-5.07180
x0=-2.00528, x1=-3.88202, y=0.34789
x0=-6.52705, x1=-3.70203, y=1.20781
x0=7.80155, x1=1.37569, y=1.64195
x0=-5.86733, x1=-5.96000, y=0.59146
x0=2.65900, x1=-5.65649, y=-0.28552
x0=-0.94852, x1=8.34265, y=-0.05076
x0=-0.96030, x1=6.95783, y=-0.06034
x0=1.50682, x1=1.47046, y=0.30497
x0=-4.41517, x1=-0.23109, y=-2.87107
x0=1.23714, x1=7.93071, y=0.06926
x0=-1.07874, x1=-7.60638, y=0.08164
x0=1.98742, x1=1.55564, y=0.38883
x0=2.95415, x1=1.64994, y=0.55740
x0=7.83027, x1=1.00356, y=1.95409
x0=-0.27578, x1=-8.23178, y=0.01907
x0=-9.98947, x1=-2.81383, y=2.75370
x0=-8.04400, x1=9.66873, y=-0.37699
x0=7.64109, x1=5.60746, y=0.57822

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=2.32827, x1=9.10802, y=0.11517
x0=-4.62850, x1=0.94574, y=-1.18939
x0=-1.14539, x1=2.45450, y=-0.16578
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=1.28495, x1=-8.22477, y=-0.69530
x0=0.12662, x1=6.20108, y=0.25172
x0=-3.21057, x1=-5.37600, y=0.08491
x0=8.04489, x1=-3.01306, y=-1.94747
x0=8.53893, x1=-3.27922, y=-1.53425
x0=-1.14962, x1=-2.11945, y=0.95192
x0=-7.41602, x1=5.67861, y=-1.49019
x0=8.31020, x1=-0.34356, y=1.69052
x0=-8.74968, x1=-7.10197, y=-0.85386
x0=-5.40219, x1=8.94210, y=-1.36650
x0=-0.43189, x1=-9.69165, y=0.80754
x0=9.02247, x1=-1.39001, y=0.14080
x0=4.32034, x1=-4.13238, y=1.01290
x0=-4.02601, x1=-7.65295, y=0.30893
x0=-4.90189, x1=-9.90606, y=-1.74107
x0=-0.46238, x1=-0.61895, y=-0.72665
x0=7.34238, x1=8.77504, y=-1.38858
x0=6.74681, x1=-6.73584, y=0.80432
x0=-2.78926, x1=5.91251, y=-0.64331
x0=-8.02357, x1=7.42807, y=-0.81445
x0=-4.06388, x1=7.61889, y=0.37128
x0=4.43014, x1=-5.51195, y=-1.37735
x0=-6.41445, x1=-4.15866, y=0.13766
x0=3.47233, x1=-6.55443, y=-0.62574
x0=-7.89427, x1=-0.11128, y=-1.98602
x0=-3.42679, x1=4.22881, y=-0.26162
x0=-3.70305, x1=-0.66314, y=0.83916
x0=8.86349, x1=9.90792, y=-0.94270
x0=-9.20270, x1=0.90868, y=-0.27082
x0=-6.57258, x1=-0.44487, y=-0.51519
x0=0.27062, x1=-6.44446, y=0.52772
x0=6.76867, x1=-5.22458, y=0.45738
x0=-3.71369, x1=1.78902, y=-0.23442
x0=9.99695, x1=-2.98356, y=1.06942
x0=-5.66314, x1=-6.55159, y=1.12054
x0=5.74034, x1=-2.02771, y=0.45580
x0=4.65656, x1=8.38336, y=1.00842
x0=-6.68029, x1=4.00710, y=0.50142
x0=-3.19710, x1=-3.70967, y=-0.09353
x0=-3.60564, x1=-1.79341, y=-0.19763
x0=-7.27783, x1=-8.01393, y=0.26712
x0=-3.60463, x1=8.51935, y=-0.55150
x0=4.18332, x1=-3.43149, y=1.65451
x0=-1.55078, x1=4.10140, y=1.14713
x0=9.71904, x1=3.61073, y=0.51739
x0=-0.46023, x1=-3.13301, y=0.88827
x0=-2.28831, x1=7.64510, y=-0.31247
x0=6.57249, x1=6.52217, y=0.55435
x0=1.55260, x1=0.20948, y=1.95596
x0=3.32752, x1=-5.23052, y=-0.18310
x0=8.71291, x1=1.43651, y=0.17492
x0=-4.24716, x1=3.59803, y=-1.60446
x0=9.24745, x1=-5.60419, y=0.27455
x0=2.23696, x1=2.82824, y=-1.49583
x0=5.10881, x1=-1.28616, y=-0.51805
x0=3.04486, x1=-6.43900, y=0.19083
x0=-4.75352, x1=-5.65738, y=1.61961
x0=-0.99175, x1=8.14998, y=0.48830
x0=7.50614, x1=3.29947, y=-1.85684
x0=5.52955, x1=2.37073, y=0.98170
x0=-2.64394, x1=-9.79797, y=0.88901
x0=-6.34169, x1=4.00479, y=0.07602
x0=1.96390, x1=7.33979, y=0.90864
x0=1.07892, x1=-4.34697, y=-0.62996
x0=0.16580, x1=2.46060, y=-0.25646
x0=-3.55148, x1=-4.97952, y=0.21039
x0=-4.61445, x1=-5.09620, y=0.74532
x0=1.42557, x1=-3.80176, y=-1.56315
x0=-0.66461, x1=9.96898, y=1.05532
x0=0.60372, x1=-1.51936, y=0.05837
x0=1.04585, x1=0.14298, y=1.71304
x0=7.42234, x1=4.85833, y=0.26416
x0=0.52870, x1=5.08820, y=0.37027
x0=6.42421, x1=1.67303, y=-0.02869
x0=9.09214, x1=-9.86040, y=-0.59208
x0=3.09174, x1=-2.63490, y=-0.08713
x0=9.17896, x1=-2.83013, y=-0.46329
x0=6.96881, x1=-6.91255, y=1.02370
x0=6.16649, x1=-0.20525, y=-0.22797
x0=-6.60478, x1=0.46785, y=-0.56422
x0=4.11822, x1=6.92903, y=-1.32345
x0=-9.93060, x1=-1.42432, y=0.14144
x0=0.87718, x1=-7.57166, y=0.42844
x0=-0.76769, x1=-6.40397, y=-1.37883
x0=-6.24543, x1=2.27004, y=-0.04860
x0=3.04693, x1=6.27356, y=0.18902
x0=7.10908, x1=8.09048, y=-0.34449
x0=4.34449, x1=7.86121, y=0.01349
x0=-3.27767, x1=-9.61133, y=-0.26661
x0=-9.91966, x1=8.10762, y=-0.23834
x0=0.13655, x1=0.34255, y=0.25644
x0=-7.28071, x1=2.05768, y=0.78615
x0=3.33263, x1=-4.99824, y=-0.10708
x0=-8.01799, x1=-7.48705, y=-0.70788
x0=5.71696, x1=-6.27606, y=-1.07286
x0=6.91548, x1=-0.59978, y=0.97569
x0=-5.38649, x1=8.88395, y=-1.33954
x0=-7.40875, x1=1.57587, y=0.00916
x0=4.59550, x1=-2.94934, y=1.94976
x0=-0.34427, x1=4.70543, y=0.00469
x0=-6.91041, x1=-3.67253, y=1.01220
x0=-6.76191, x1=2.67909, y=0.82451
x0=-3.38791, x1=2.37546, y=-0.35142
x0=-4.99323, x1=0.64079, y=1.54043
x0=9.16394, x1=4.62075, y=-0.04720
x0=5.57436, x1=-8.68195, y=0.95891
x0=4.89824, x1=1.95793, y=0.74207
x0=1.05777, x1=2.32180, y=-1.18905
x0=9.04920, x1=-4.85255, y=0.10249
x0=3.53241, x1=-7.12595, y=-0.50696
x0=-4.99123, x1=3.54907, y=-1.76533
x0=4.55325, x1=3.72075, y=1.65270
x0=-9.85852, x1=-4.32006, y=-0.32137
x0=0.98170, x1=-7.39007, y=0.74406
x0=-5.95228, x1=-8.03459, y=-0.11672
x0=-8.02377, x1=-7.88367, y=0.05852
x0=-4.97030, x1=3.66840, y=-1.67165
x0=5.09164, x1=-1.49284, y=-0.14468
x0=7.92388, x1=-6.29342, y=1.99501
x0=-7.59702, x1=-7.99112, y=0.26444
x0=-1.11302, x1=-2.42100, y=1.34810
x0=4.06197, x1=-4.81293, y=-0.15975
x0=-1.50607, x1=-7.23781, y=-1.15341
x0=1.34275, x1=0.39437, y=1.79867
x0=-3.06933, x1=-1.33509, y=-0.03372

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=-5.87608, x1=-1.83396, y=-0.20601
x0=6.10474, x1=8.35583, y=0.17078
x0=-0.08463, x1=-0.80930, y=-0.11665
x0=-3.62087, x1=9.11706, y=-0.87896
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=7.11869, x1=-9.81531, y=685.81610
x0=5.07524, x1=2.63281, y=35.17991
x0=9.80249, x1=4.95852, y=241.01301
x0=-1.13314, x1=9.16392, y=-95.15843
x0=-6.17982, x1=-0.51092, y=-1.61317
x0=9.21031, x1=-1.46911, y=19.87856
x0=9.13468, x1=-1.09049, y=10.86264
x0=0.11530, x1=4.77356, y=2.62728
x0=4.28108, x1=-4.72409, y=95.54074
x0=2.54852, x1=2.89561, y=21.36817
x0=0.62966, x1=-6.35017, y=25.39095
x0=-3.93895, x1=8.74932, y=-301.52874
x0=2.20405, x1=6.96204, y=106.83001
x0=7.78054, x1=-8.52657, y=565.66374
x0=-5.81369, x1=6.62346, y=-255.04742
x0=-5.93961, x1=-3.26138, y=-63.17728
x0=4.48277, x1=6.91129, y=214.12350
x0=6.85181, x1=5.79267, y=229.91292
x0=6.70553, x1=-6.29898, y=266.05612
x0=-5.16460, x1=-6.01713, y=-186.98855
x0=-0.18418, x1=0.70483, y=-0.09150
x0=5.17976, x1=-2.45067, y=31.10861
x0=-9.38610, x1=8.96533, y=-754.42722
x0=-8.17303, x1=-2.40549, y=-47.29208
x0=1.05658, x1=-6.68199, y=47.17529
x0=-1.15476, x1=-6.53119, y=-49.25799
x0=-7.88658, x1=-9.45267, y=-704.68873
x0=-4.85858, x1=2.15308, y=-22.52323
x0=5.31883, x1=6.56595, y=229.30396
x0=4.53530, x1=-3.97795, y=71.76697
x0=9.09678, x1=-3.66341, y=122.08372
x0=3.76540, x1=4.88623, y=89.89995
x0=5.01504, x1=-5.45658, y=149.31918
x0=0.75381, x1=-8.14694, y=50.03242
x0=-7.46340, x1=6.32970, y=-299.02204
x0=5.83278, x1=-3.95083, y=91.04421
x0=0.83280, x1=3.84510, y=12.31278
x0=-0.10038, x1=8.99012, y=-8.11280
x0=3.27847, x1=1.26122, y=5.21496
x0=-9.70503, x1=8.57018, y=-712.81589
x0=2.55509, x1=-8.79529, y=197.65423
x0=5.48895, x1=0.26792, y=0.39401
x0=2.43818, x1=-1.72734, y=7.27479
x0=-0.46325, x1=3.95840, y=-7.25860
x0=-1.48729, x1=-7.54360, y=-84.63539
x0=-5.78082, x1=-0.12157, y=-0.08543
x0=2.66265, x1=5.81288, y=89.96984
x0=-7.56590, x1=2.94391, y=-65.57045
x0=-3.31114, x1=1.22598, y=-4.97673
x0=-5.49785, x1=-4.62378, y=-117.54025
x0=1.14502, x1=3.00667, y=10.35102
x0=-6.73300, x1=3.72484, y=-93.41671
x0=3.14940, x1=-0.47047, y=0.69708
x0=1.00374, x1=7.66690, y=59.00107
x0=-1.41846, x1=-4.25631, y=-25.69711
x0=-7.76069, x1=-1.96139, y=-29.85577
x0=-1.63355, x1=-8.74104, y=-124.81278
x0=5.10562, x1=0.33222, y=0.56351
x0=2.52445, x1=4.24013, y=45.38635
x0=0.99223, x1=-1.50224, y=2.23920
x0=8.86055, x1=-4.48811, y=178.47889
x0=-8.63816, x1=-2.29814, y=-45.62198
x0=-8.52695, x1=6.45727, y=-355.54230
x0=3.71121, x1=4.95898, y=91.26423
x0=-5.47176, x1=-9.10438, y=-453.55337
x0=2.14475, x1=2.78832, y=16.67481
x0=-1.44646, x1=-5.52074, y=-44.08616
x0=-4.92271, x1=-2.91524, y=-41.83619
x0=-4.76696, x1=6.68574, y=-213.07934
x0=-1.41341, x1=-1.69972, y=-4.08340
x0=-9.86353, x1=5.40914, y=-288.59465
x0=-4.87732, x1=4.67678, y=-106.67814
x0=9.84014, x1=-9.99601, y=983.22824
x0=9.13707, x1=-4.11090, y=154.41163
x0=-2.09275, x1=8.49144, y=-150.89676
x0=3.51379, x1=-7.40212, y=192.52501
x0=8.23018, x1=-5.22688, y=224.85068
x0=-9.73443, x1=-8.68813, y=-734.79019
x0=-5.08468, x1=-4.91842, y=-123.00254

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=-0.74645, x1=-6.24811, y=-29.14062
x0=-2.27552, x1=-5.98310, y=-81.45799
x0=-9.08154, x1=4.34015, y=-171.06772
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=3.78303, x1=4.25897, y=0.05596
x0=0.98657, x1=9.98332, y=0.00000
x0=5.64014, x1=9.32189, y=0.01805
x0=0.94219, x1=9.67725, y=0.00000
x0=3.11421, x1=3.87337, y=0.05911
x0=3.07280, x1=0.27418, y=0.12931
x0=7.93980, x1=2.00434, y=0.04867
x0=1.83920, x1=3.43534, y=0.03790
x0=0.15629, x1=1.51011, y=0.00000
x0=8.70471, x1=2.66463, y=0.04373
x0=6.06152, x1=8.25441, y=0.02604
x0=3.19182, x1=6.09135, y=0.02023
x0=1.33155, x1=2.11693, y=0.08466
x0=7.44347, x1=5.04841, y=0.04258
x0=3.75364, x1=5.26867, y=0.03969
x0=3.63657, x1=1.20787, y=0.10382
x0=8.04646, x1=5.75045, y=0.03841
x0=4.18062, x1=1.42006, y=0.09008
x0=3.05068, x1=6.82803, y=0.01068
x0=1.42602, x1=5.64667, y=0.00011
x0=9.25578, x1=7.43481, y=0.03122
x0=0.07448, x1=3.66434, y=0.00000
x0=4.71417, x1=9.57503, y=0.01076
x0=7.49308, x1=9.08757, y=0.02552
x0=8.10406, x1=6.62848, y=0.03523
x0=6.63570, x1=2.04523, y=0.05733
x0=1.21215, x1=3.74654, y=0.00277
x0=2.37772, x1=6.18687, y=0.00568
x0=3.34749, x1=1.01449, y=0.11383
x0=5.37206, x1=7.44841, y=0.02840
x0=5.95342, x1=7.75425, y=0.02869
x0=0.68775, x1=9.87023, y=0.00000
x0=3.34793, x1=7.92373, y=0.00724
x0=9.34884, x1=0.58508, y=0.04259
x0=8.33162, x1=1.05665, y=0.04750
x0=0.84795, x1=7.35152, y=0.00000
x0=6.03939, x1=6.22733, y=0.03882
x0=8.50503, x1=0.09863, y=0.04690
x0=3.35356, x1=4.24561, y=0.05338
x0=3.53603, x1=0.29811, y=0.11242
x0=5.62151, x1=4.67616, y=0.05021
x0=0.53798, x1=8.06676, y=0.00000
x0=1.16728, x1=9.13895, y=0.00000
x0=0.86312, x1=0.72229, y=0.32566
x0=0.31578, x1=2.19422, y=0.00000
x0=5.73093, x1=2.51232, y=0.06323
x0=3.81976, x1=2.48122, y=0.08458
x0=7.49005, x1=9.56284, y=0.02358
x0=7.65311, x1=3.77728, y=0.04615
x0=9.08592, x1=6.07911, y=0.03510
x0=2.61144, x1=8.51182, y=0.00075
x0=8.77736, x1=8.51111, y=0.02840
x0=1.25694, x1=8.24274, y=0.00000
x0=1.71508, x1=2.24935, y=0.09843
x0=8.93386, x1=2.20664, y=0.04331
x0=3.91682, x1=4.14228, y=0.05823
x0=5.02599, x1=5.23619, y=0.04613
x0=2.15953, x1=5.49619, y=0.00724
x0=3.01041, x1=9.97471, y=0.00055
x0=6.16430, x1=4.36308, y=0.05038
x0=0.40641, x1=0.73236, y=0.19356
x0=8.71086, x1=5.13295, y=0.03850
x0=7.17291, x1=1.11668, y=0.05495
x0=6.85033, x1=6.61992, y=0.03651
x0=8.13843, x1=8.56521, y=0.02817
x0=6.85539, x1=7.72028, y=0.03087
x0=5.98502, x1=5.83255, y=0.04146
x0=9.45998, x1=7.33272, y=0.03123
x0=2.99341, x1=8.88387, y=0.00163
x0=4.66797, x1=0.14748, y=0.08542
x0=8.02483, x1=3.59256, y=0.04497
x0=6.12353, x1=0.67010, y=0.06476
x0=4.47881, x1=0.99854, y=0.08689
x0=4.28997, x1=7.97863, y=0.01649
x0=5.05669, x1=0.51701, y=0.07848
x0=3.85202, x1=0.21659, y=0.10340
x0=0.05422, x1=0.36584, y=0.00000
x0=3.48261, x1=2.42160, y=0.08995
x0=3.23264, x1=5.75208, y=0.02534
x0=8.39192, x1=1.37515, y=0.04690
x0=5.83538, x1=2.74430, y=0.06121
x0=1.43985, x1=7.40440, y=0.00000
x0=9.54617, x1=5.28777, y=0.03585
x0=9.39608, x1=1.25760, y=0.04208
x0=7.25823, x1=5.51991, y=0.04116
x0=0.82998, x1=2.03631, y=0.02370
x0=5.89283, x1=0.68615, y=0.06724
x0=6.83391, x1=7.45864, y=0.03218
x0=0.32214, x1=0.35977, y=0.66377
x0=8.21300, x1=8.57783, y=0.02815
x0=2.83931, x1=5.13826, y=0.02732
x0=9.26353, x1=1.76605, y=0.04229
x0=5.24467, x1=6.42132, y=0.03595
x0=5.42924, x1=0.79897, y=0.07269
x0=9.39349, x1=7.45443, y=0.03100
x0=2.88941, x1=5.27428, y=0.02610
x0=9.69694, x1=6.58251, y=0.03267
x0=1.12523, x1=7.98656, y=0.00000
x0=8.55539, x1=6.47493, y=0.03502
x0=3.59225, x1=1.09295, y=0.10603
x0=6.06332, x1=8.87657, y=0.02253
x0=9.21152, x1=0.94968, y=0.04308
x0=8.18514, x1=1.05295, y=0.04834
x0=6.60615, x1=8.35740, y=0.02713
x0=8.74707, x1=5.21573, y=0.03818
x0=9.62988, x1=5.31175, y=0.03558
x0=4.95645, x1=1.70347, y=0.07587
x0=5.85212, x1=5.22704, y=0.04575
x0=5.78858, x1=7.58454, y=0.02921
x0=2.44177, x1=3.64038, y=0.05377
x0=8.13645, x1=8.00332, y=0.03023
x0=1.10048, x1=3.38530, y=0.00319
x0=6.37571, x1=5.69286, y=0.04200
x0=7.43468, x1=7.19157, y=0.03361
x0=9.50186, x1=2.34981, y=0.04072
x0=8.13561, x1=0.87253, y=0.04876
x0=2.64718, x1=5.23612, y=0.02131

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=8.52189, x1=2.62474, y=0.04465
x0=5.76080, x1=3.27997, y=0.05889
x0=7.37312, x1=0.20302, y=0.05409
x0=9.63825, x1=5.88060, y=0.03436
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=8.29978, y=648.92814
x0=-6.67483, y=-259.50695
x0=-3.68109, y=-40.01085
x0=0.44030, y=0.71952
x0=9.79953, y=1046.88616
x0=2.93138, y=36.71361
x0=-4.28245, y=-64.48071
x0=4.21806, y=97.05788
x0=6.65823, y=346.16299
x0=-4.60389, y=-80.99105
x0=-6.89802, y=-287.54168
x0=5.13283, y=166.70813
x0=0.84202, y=2.14803
x0=7.22774, y=437.04748
x0=-0.17899, y=-0.15269
x0=4.91679, y=147.95414
x0=-3.22452, y=-26.35397
x0=8.18336, y=623.16990
x0=4.25846, y=99.61818
x0=-8.34547, y=-519.93431
x0=-2.50931, y=-12.01286
x0=-4.19764, y=-60.54064
x0=5.67267, y=220.39331
x0=6.84222, y=373.98385
x0=2.44816, y=23.11462
x0=-6.26444, y=-212.85845
x0=-9.62440, y=-808.49340
x0=1.52071, y=7.34995
x0=4.46913, y=113.70441
x0=-6.12287, y=-198.17675
x0=7.43178, y=473.13087
x0=-0.23403, y=-0.19208
x0=-7.72395, y=-408.87072
x0=1.88912, y=12.19981
x0=7.06836, y=410.17721
x0=5.71231, y=224.73779
x0=8.07995, y=600.86960
x0=4.31290, y=103.13845
x0=7.37517, y=462.92739
x0=3.84733, y=75.59722
x0=-0.86149, y=-0.75869
x0=-3.68997, y=-40.31644
x0=-0.03688, y=-0.03557
x0=-4.12615, y=-57.34938
x0=8.97106, y=811.44243
x0=2.53515, y=25.25542
x0=-1.43978, y=-2.35142
x0=7.19318, y=431.12274
x0=6.22860, y=286.66545
x0=-9.64419, y=-813.64466
x0=-5.91011, y=-177.41714
x0=-7.86895, y=-433.19682
x0=5.62127, y=214.84435
x0=-1.41038, y=-2.22671
x0=1.98483, y=13.74373
x0=8.15098, y=616.12866
x0=-7.43213, y=-362.72054
x0=-5.60682, y=-150.42899
x0=3.40030, y=54.27671
x0=-9.84056, y=-865.93140
x0=8.54074, y=704.48356
x0=4.60517, y=123.47735
x0=9.72444, y=1023.87727
x0=-3.75071, y=-42.44728
x0=8.18761, y=624.09766
x0=7.70515, y=524.52510
x0=-4.93556, y=-100.80507
x0=-7.21280, y=-330.43048
x0=-1.06198, y=-1.13189
x0=5.74580, y=228.45260

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=-7.04248, y=-306.72805
x0=-5.21048, y=-119.52115
x0=6.54043, y=329.09869
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=3.56111, y=222.22316
x0=2.73635, y=86.77685
x0=-8.20553, y=4040.07108
x0=9.70300, y=9881.27538
x0=5.07202, y=823.07333
x0=-9.23711, y=6568.16428
x0=-1.44865, y=2.01387
x0=2.19039, y=40.51623
x0=-2.11128, y=12.80455
x0=-8.89773, y=5633.67571
x0=8.35135, y=5524.93182
x0=3.87422, y=302.32184
x0=3.92381, y=316.77691
x0=-6.39438, y=1444.87915
x0=-6.08365, y=1175.56351
x0=-4.29189, y=274.37988
x0=3.21901, y=154.30891
x0=0.03711, y=0.03855
x0=-5.89955, y=1034.94151
x0=-2.25014, y=17.05554
x0=-8.18007, y=3988.80232
x0=-9.32908, y=6840.30458
x0=3.44745, y=197.55540
x0=-6.30187, y=1360.31249
x0=9.76726, y=10137.98045
x0=2.53124, y=66.20816
x0=9.29965, y=8379.45599
x0=6.70544, y=2374.82742
x0=0.56241, y=1.15667
x0=5.95182, y=1507.08574
x0=2.57618, y=70.35629
x0=3.71558, y=259.40965
x0=-3.03579, y=63.13773
x0=-0.10230, y=-0.09279
x0=4.49243, y=522.65209
x0=2.38281, y=53.82716
x0=-1.05607, y=0.12525
x0=-5.63984, y=858.51401
x0=-1.39196, y=1.60268
x0=-0.81125, y=-0.25390
x0=-7.59618, y=2941.31351
x0=8.81198, y=6800.39681
x0=5.39550, y=1039.05408
x0=6.51473, y=2126.75727
x0=4.16796, y=395.72701
x0=-2.78803, y=43.73484
x0=-7.69885, y=3108.45543
x0=2.46877, y=60.75692
x0=-8.79499, y=5371.55955
x0=7.43866, y=3536.19580
x0=-2.41269, y=23.24890
x0=2.49905, y=63.35472
x0=-4.43191, y=313.96059
x0=2.78776, y=92.62285
x0=-4.26984, y=268.50588
x0=-0.40746, y=-0.28152
x0=5.55901, y=1163.21947
x0=-8.41980, y=4491.39637
x0=7.94383, y=4554.50299
x0=-9.93095, y=8835.90043
x0=-3.92819, y=188.99277
x0=5.05791, y=814.49861
x0=-6.37932, y=1430.84352
x0=8.08853, y=4883.04420
x0=7.55653, y=3756.68321
x0=-5.33045, y=678.96386
x0=-5.38563, y=708.70247
x0=9.28196, y=8317.76464
x0=4.60829, y=574.69109
x0=7.58539, y=3812.20410
x0=2.02665, y=31.32814
x0=-0.13910, y=-0.12207
x0=-4.32270, y=282.74800
x0=7.94264, y=4551.88284
x0=-5.77391, y=946.49557
x0=7.15957, y=3052.94689
x0=0.15092, y=0.17766
x0=9.87385, y=10574.85761
x0=-8.69718, y=5130.62149
x0=-2.02007, y=10.46943
x0=-9.57988, y=7625.49630
x0=0.71062, y=1.82946
x0=-0.50551, y=-0.31385
x0=0.52142, y=1.00898
x0=8.30959, y=5418.94478
x0=-2.47799, y=26.15155
x0=-1.22071, y=0.67091
x0=-7.74573, y=3187.10170
x0=-0.85984, y=-0.20962
x0=4.32835, y=455.13956

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=-0.90108, y=-0.16151
x0=-7.69749, y=3106.18795
x0=-5.05873, y=545.96261
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=-4.83656, x1=-0.12021, y=0.87213
x0=-9.90371, x1=-1.68247, y=24.99402
x0=-4.61893, x1=-0.30026, y=2.08030
x0=4.90245, x1=-3.54416, y=-26.06258
x0=7.65685, x1=-8.36987, y=-96.13030
x0=5.62812, x1=8.22933, y=69.47348
x0=-9.69055, x1=-7.55115, y=109.76223
x0=-4.06344, x1=-1.43783, y=8.76381
x0=-0.63132, x1=4.59866, y=-4.35484
x0=-9.66162, x1=-3.43366, y=49.76210
x0=-0.79499, x1=0.84515, y=-1.00782
x0=7.54220, x1=0.97201, y=10.99663
x0=8.26097, x1=9.41409, y=116.65429
x0=3.48942, x1=-5.89440, y=-30.85209
x0=-8.31391, x1=-0.23670, y=2.95179
x0=-9.99957, x1=-0.24565, y=3.68460
x0=8.96716, x1=-5.99934, y=-80.69560
x0=7.88076, x1=-3.21829, y=-38.04382
x0=-5.98502, x1=8.55362, y=-76.79043
x0=-6.83333, x1=-7.10135, y=72.78877
x0=2.89164, x1=-4.73716, y=-20.54723
x0=-9.77747, x1=-4.38772, y=64.35114
x0=7.12231, x1=5.89942, y=63.02627
x0=-6.32533, x1=4.25780, y=-40.39791
x0=-5.51928, x1=1.76735, y=-14.63173
x0=9.40434, x1=1.35261, y=19.08063
x0=-5.18300, x1=8.58153, y=-66.71713
x0=7.14812, x1=6.50201, y=69.71564
x0=-3.35595, x1=-3.42692, y=17.25085
x0=-5.47169, x1=-7.36311, y=60.43293
x0=7.29080, x1=3.61995, y=39.58848
x0=2.85393, x1=6.26843, y=26.83443
x0=8.11533, x1=7.02605, y=85.52813
x0=8.70916, x1=-4.53667, y=-59.26584
x0=4.51317, x1=-8.25927, y=-55.91327
x0=-4.71558, x1=-4.33517, y=30.66425
x0=1.72218, x1=2.35231, y=6.07664
x0=7.35437, x1=-2.66150, y=-29.36046
x0=-2.13208, x1=9.97788, y=-31.91037
x0=-4.76687, x1=6.52326, y=-46.64328
x0=-7.85329, x1=3.50360, y=-41.27217
x0=7.86115, x1=-5.78950, y=-68.26821
x0=4.63966, x1=-2.09926, y=-14.60980
x0=-8.83807, x1=2.97865, y=-39.48825
x0=-3.62469, x1=7.68525, y=-41.78501
x0=-9.76432, x1=-3.02449, y=44.29811
x0=2.00570, x1=-6.71189, y=-20.19300
x0=6.59273, x1=7.50155, y=74.18345
x0=0.76139, x1=-2.29252, y=-2.61824
x0=2.43159, x1=-4.29948, y=-15.68189
x0=0.48944, x1=-4.17554, y=-3.06554
x0=2.84682, x1=-7.59793, y=-32.44497
x0=-7.62351, x1=-6.90633, y=78.97571
x0=7.74001, x1=4.69084, y=54.46072
x0=-1.36460, x1=9.71787, y=-19.89154
x0=7.00463, x1=-0.00895, y=-0.09402
x0=-0.84422, x1=7.37832, y=-9.34335
x0=-1.81442, x1=-6.17342, y=16.80172
x0=2.40525, x1=-3.90378, y=-14.08438
x0=6.08547, x1=7.16876, y=65.43793
x0=7.86981, x1=-8.49122, y=-100.23638
x0=1.80013, x1=-1.95760, y=-5.28590
x0=-9.63410, x1=1.16429, y=-16.82540
x0=3.15813, x1=-4.14575, y=-19.63927
x0=-2.11220, x1=-2.23264, y=7.07370
x0=-6.17629, x1=-6.04555, y=56.00863
x0=9.75288, x1=4.25816, y=62.29401
x0=-1.92248, x1=5.43088, y=-15.66116
x0=-0.06728, x1=6.14332, y=-0.61995
x0=-7.49128, x1=7.42858, y=-83.47439
x0=2.84928, x1=-4.59532, y=-19.64000
x0=4.83242, x1=8.26812, y=59.93257
x0=-6.20963, x1=6.73253, y=-62.70979
x0=-5.62297, x1=-5.62770, y=47.46654
x0=5.32466, x1=-6.93237, y=-55.36877
x0=-7.84084, x1=-0.08775, y=1.03207
x0=5.22946, x1=-9.85848, y=-77.33176
x0=-5.06311, x1=-1.34196, y=10.19171
x0=8.76615, x1=-7.48381, y=-98.40630
x0=1.38388, x1=3.60488, y=7.48311
x0=4.79737, x1=3.63173, y=26.13409
x0=-8.60707, x1=3.65836, y=-47.23164
x0=-7.65366, x1=-0.64993, y=7.46152
x0=2.73190, x1=-4.61745, y=-18.92162
x0=-1.94613, x1=4.00066, y=-11.67871
x0=-3.34233, x1=-2.85869, y=14.33202
x0=-5.84187, x1=-3.13221, y=27.44694
x0=2.27282, x1=8.69465, y=29.64200
x0=-0.24887, x1=-1.84587, y=0.68907
x0=4.54578, x1=-0.61130, y=-4.16824
x0=7.54632, x1=9.68116, y=109.58565
x0=-1.64879, x1=-3.88142, y=9.59950
x0=-1.65678, x1=9.19633, y=-22.85445
x0=5.54526, x1=0.17811, y=1.48147
x0=0.58130, x1=-4.12757, y=-3.59904
x0=-7.48421, x1=-4.01125, y=45.03150
x0=-0.11102, x1=6.45016, y=-1.07415
x0=7.08646, x1=3.54635, y=37.69667
x0=6.22900, x1=-4.79045, y=-44.75960
x0=-5.67094, x1=8.81281, y=-74.96543
x0=0.39354, x1=-9.09496, y=-5.36889
x0=1.19782, x1=-7.25353, y=-13.03264
x0=0.88403, x1=6.68641, y=8.86644
x0=0.03010, x1=1.27306, y=0.05748
x0=1.45491, x1=8.76648, y=19.13166
x0=-5.99380, x1=4.77370, y=-42.91892
x0=5.08387, x1=3.19039, y=24.32928
x0=0.83945, x1=7.83143, y=9.86117
x0=8.40925, x1=3.70340, y=46.71416
x0=5.01701, x1=-2.30154, y=-17.32026
x0=-0.87158, x1=0.58644, y=-0.76670
x0=9.87471, x1=0.99952, y=14.80491
x0=6.14313, x1=-3.53011, y=-32.52890
x0=1.51256, x1=-9.72334, y=-22.06072
x0=9.45195, x1=-3.58052, y=-50.76434
x0=8.57562, x1=7.63080, y=98.15826
x0=-9.87227, x1=-9.57595, y=141.80463
x0=8.67925, x1=5.90146, y=76.83032
x0=6.79202, x1=3.98042, y=40.55262
x0=5.12671, x1=-3.26108, y=-25.07792
x0=-6.08900, x1=9.33104, y=-85.22505
x0=6.45787, x1=-5.30825, y=-51.42000
x0=4.77481, x1=-8.22998, y=-58.94493
x0=-4.33058, x1=-5.54310, y=36.00725
x0=6.71894, x1=-1.25549, y=-12.65331
x0=-6.66284, x1=2.25082, y=-22.49527
x0=-4.70799, x1=-2.86498, y=20.23243
x0=-2.56355, x1=-8.66101, y=33.30434
x0=0.97513, x1=-7.18731, y=-10.51287
x0=-4.86094, x1=-1.91379, y=13.95421
x0=2.75234, x1=-3.51271, y=-14.50224
x0=-7.77934, x1=4.56377, y=-53.25470
x0=-8.37263, x1=2.29242, y=-28.79041
x0=1.11055, x1=-8.68174, y=-14.46228
x0=7.48539, x1=-4.57049, y=-51.31782
x0=7.53303, x1=4.91849, y=55.57669
x0=2.95842, x1=-5.73499, y=-25.44978
x0=-3.66660, x1=-0.07192, y=0.39554

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=-9.75714, x1=-3.22627, y=47.21869
x0=2.77010, x1=8.84635, y=36.75786
x0=5.28102, x1=2.55353, y=20.22788
x0=5.17525, x1=0.97519, y=7.57029
x0=6.52736, x1=1.66133, y=16.26613
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)).