Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=-5.74205, y=13.61453
x0=-1.71517, y=0.61332
x0=0.73027, y=0.63179
x0=-4.58066, y=8.20090
x0=6.34163, y=23.27894
x0=-6.15008, y=15.83673
x0=7.97200, y=35.76243
x0=-2.87831, y=2.70317
x0=-5.54715, y=12.61184
x0=3.05971, y=6.21075
x0=-5.27934, y=11.29602
x0=-3.63021, y=4.77411
x0=-2.99885, y=2.99714
x0=4.72655, y=13.53342
x0=-7.31452, y=23.09383
x0=0.63661, y=0.52094
x0=-2.09536, y=1.14758
x0=5.20647, y=16.15692
x0=4.11852, y=10.54038
x0=0.48073, y=0.35591
x0=3.35130, y=7.29127
x0=0.49353, y=0.36855
x0=-4.82264, y=9.21761
x0=4.46930, y=12.22195
x0=-5.70976, y=13.44582
x0=4.34281, y=11.60139
x0=-0.18355, y=-0.07493
x0=7.05532, y=28.41640
x0=-1.55614, y=0.43272
x0=0.59587, y=0.47546
x0=3.18223, y=6.65440
x0=-5.03929, y=10.17759
x0=-5.09523, y=10.43309
x0=-4.44134, y=7.64207
x0=-3.06883, y=3.17444
x0=4.74413, y=13.62543
x0=8.27027, y=38.33384
x0=4.73105, y=13.55692
x0=-3.63524, y=4.78987
x0=-5.37515, y=11.75855
x0=7.19962, y=29.51705
x0=2.83771, y=5.44514
x0=1.58587, y=2.05043
x0=-7.12957, y=21.85059
x0=0.23850, y=0.14769
x0=2.24714, y=3.64840
x0=-4.06749, y=6.23848
x0=-2.77140, y=2.45464
x0=-6.71081, y=19.16209
x0=5.39056, y=17.22437
x0=3.78117, y=9.03921
x0=1.30897, y=1.51118
x0=6.29259, y=22.94467
x0=-2.55149, y=1.97931
x0=-3.61918, y=4.73963
x0=-4.01553, y=6.05447
x0=1.09381, y=1.14511
x0=-3.50615, y=4.39345
x0=8.82373, y=43.34094
x0=-6.38565, y=17.19547
x0=-4.86410, y=9.39769
x0=-3.70427, y=5.00867
x0=1.52090, y=1.91701
x0=-4.15543, y=6.55610
x0=1.94106, y=2.85438
x0=3.82031, y=9.20754
x0=0.93324, y=0.90208
x0=-3.29587, y=3.78345
x0=-1.11255, y=0.06261
x0=7.24396, y=29.85949
x0=4.18908, y=10.86872
x0=-8.69321, y=33.43936
x0=-7.18388, y=22.21215
x0=2.75331, y=5.16700
x0=-8.10381, y=28.78396
x0=6.34078, y=23.27316
x0=8.96768, y=44.69346
x0=-2.12265, y=1.19150
x0=0.19639, y=0.11748
x0=-4.16117, y=6.57707
x0=-1.43423, y=0.31140
x0=-5.26394, y=11.22255
x0=2.31100, y=3.82586
x0=7.85578, y=34.78454
x0=-9.58003, y=41.09847
x0=8.95004, y=44.52662
x0=-3.85933, y=5.51755
x0=-3.89633, y=5.64254
x0=-1.67094, y=0.56055
x0=-3.30036, y=3.79600
x0=-0.40146, y=-0.12014
x0=-3.18877, y=3.48974
x0=-0.53935, y=-0.12423
x0=-6.95915, y=20.73532
x0=-0.24523, y=-0.09255
x0=5.73255, y=19.29736
x0=1.39644, y=1.67325
x0=7.51685, y=32.00996
x0=-4.60090, y=8.28368
x0=-9.24666, y=38.12704
x0=2.94365, y=5.80437
x0=-6.45214, y=17.58898
x0=-2.89167, y=2.73505
x0=-1.96767, y=0.95203
x0=-0.89357, y=-0.04755
x0=-4.83319, y=9.26329
x0=3.76822, y=8.98385
x0=5.54197, y=18.12771

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=2.47847, y=4.31063
x0=3.72369, y=8.79478
x0=-0.95796, y=-0.02014
x0=0.91816, y=0.88058
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=5.68218, x1=-3.39770, y=40.18000
x0=-0.93105, x1=4.40126, y=6.05393
x0=4.47276, x1=9.54748, y=49.45291
x0=-7.47945, x1=9.02211, y=-44.52665
x0=-2.09459, x1=-8.48825, y=44.77011
x0=7.31455, x1=-6.90300, y=101.68365
x0=-5.58895, x1=-8.40849, y=14.43318
x0=-8.07776, x1=-9.84795, y=-38.99832
x0=-4.16344, x1=3.25953, y=-8.21784
x0=5.58248, x1=-4.82991, y=45.70597
x0=3.80395, x1=-1.50645, y=9.84584
x0=-2.36038, x1=-1.54524, y=2.46939
x0=-9.82665, x1=-0.48348, y=-179.35111
x0=8.62389, x1=7.76475, y=142.03134
x0=7.00130, x1=-0.28102, y=61.95748
x0=-9.42000, x1=-6.99642, y=-126.28779
x0=8.15265, x1=-5.39871, y=120.19337
x0=3.71702, x1=2.37868, y=7.00439
x0=-5.19423, x1=6.44573, y=-8.50589
x0=-2.49952, x1=7.60895, y=20.71546
x0=2.35842, x1=8.14420, y=25.28497
x0=-3.31014, x1=7.02647, y=13.71542
x0=-6.11240, x1=-2.68402, y=-33.27525
x0=2.48867, x1=5.75985, y=11.42214
x0=0.42226, x1=7.76195, y=21.95479
x0=2.61147, x1=-7.77022, y=38.90886
x0=3.79876, x1=7.92023, y=30.60964
x0=-8.42856, x1=-0.40205, y=-110.84273
x0=-8.20819, x1=2.35729, y=-101.97511
x0=8.50763, x1=-8.43505, y=158.65831
x0=4.73045, x1=-5.80400, y=39.08760
x0=-7.09158, x1=-4.72592, y=-48.34315
x0=-0.26208, x1=1.64308, y=-0.03475
x0=-9.17130, x1=8.77727, y=-115.37011
x0=-3.31741, x1=2.17121, y=-3.79851
x0=7.07171, x1=5.82627, y=74.80469
x0=-7.38411, x1=-6.61093, y=-44.67646
x0=-1.36002, x1=8.27969, y=26.85384
x0=9.01234, x1=4.98966, y=144.84691
x0=-5.67255, x1=-6.47309, y=-3.40997
x0=-2.27978, x1=0.08770, y=-0.17387
x0=-7.03828, x1=-2.49617, y=-57.08167
x0=-7.26254, x1=8.89915, y=-38.65086
x0=-3.51946, x1=7.19899, y=13.51438
x0=-3.76542, x1=7.70483, y=15.06529
x0=-1.93067, x1=6.86396, y=17.18437
x0=8.90938, x1=7.13417, y=150.84453
x0=-2.23702, x1=-5.84704, y=22.93908
x0=-0.52517, x1=-1.82257, y=3.97964
x0=2.22473, x1=2.55333, y=0.68391
x0=-0.65366, x1=9.34223, y=34.89421
x0=-1.99760, x1=-5.01205, y=17.97571
x0=-2.10074, x1=1.23539, y=-0.22572
x0=6.25204, x1=-4.21967, y=55.74639
x0=9.86542, x1=3.32309, y=184.36648
x0=3.80663, x1=-9.87817, y=65.89263
x0=1.03692, x1=-5.28048, y=18.40829
x0=-4.14746, x1=0.05978, y=-10.17902
x0=-4.61827, x1=-8.09732, y=25.79888
x0=-5.17531, x1=-0.38016, y=-22.09525
x0=-3.92341, x1=1.12197, y=-8.64790
x0=5.55862, x1=-3.87777, y=40.18800
x0=-5.23650, x1=8.01563, y=0.62810
x0=-3.66972, x1=6.71712, y=9.62852
x0=7.10723, x1=-3.27144, y=73.31659
x0=-7.77576, x1=-0.23984, y=-85.98402
x0=-6.74048, x1=9.19347, y=-21.44243
x0=-8.38231, x1=-8.06818, y=-68.79511
x0=1.39786, x1=1.48311, y=-1.23487
x0=-0.64924, x1=1.00426, y=0.09451

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=9.79164, x1=-4.10286, y=190.48486
x0=4.88380, x1=5.67798, y=28.85523
x0=0.46331, x1=0.76338, y=-0.91542
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=2.68680, x1=0.50006, y=0.91875
x0=5.41480, x1=1.81111, y=0.20798
x0=-5.00576, x1=8.76035, y=1.57388
x0=0.83266, x1=2.44755, y=1.37937
x0=-2.00379, x1=6.96545, y=-0.27716
x0=-3.02285, x1=-9.09994, y=-0.43762
x0=1.45042, x1=6.05363, y=0.76522
x0=-5.01720, x1=-4.52974, y=1.93727
x0=3.45561, x1=2.69929, y=0.11914
x0=-4.53546, x1=-6.98127, y=0.34163
x0=0.88433, x1=-7.81933, y=-0.22591
x0=-0.76787, x1=-9.11202, y=-1.00229
x0=0.12786, x1=-3.17526, y=0.16118
x0=8.91335, x1=8.89636, y=0.99359
x0=8.33482, x1=5.81022, y=0.43108
x0=6.67593, x1=5.97625, y=0.08059
x0=-2.87512, x1=1.34337, y=0.71092
x0=-2.33412, x1=-3.96517, y=0.01104
x0=-4.12711, x1=5.56932, y=0.17880
x0=-9.63805, x1=9.41757, y=0.21887
x0=3.70119, x1=-4.31849, y=0.39257
x0=2.87971, x1=-4.78044, y=1.25658
x0=-4.25856, x1=0.20868, y=1.10595
x0=0.11133, x1=4.78756, y=-0.88608
x0=5.50689, x1=-8.12647, y=-1.66375
x0=7.61102, x1=-9.62742, y=1.17189
x0=4.99895, x1=-6.52070, y=-1.19451
x0=3.88849, x1=-6.23229, y=-0.62850
x0=1.57757, x1=6.44182, y=1.15795
x0=-4.26563, x1=6.11059, y=0.73011
x0=0.35265, x1=2.75207, y=0.72513
x0=0.33278, x1=-5.32174, y=1.14669
x0=-8.71863, x1=-1.52597, y=-1.64790
x0=-0.08995, x1=-4.60938, y=0.90487
x0=-6.66690, x1=-2.27100, y=-1.13908
x0=-1.67844, x1=6.59359, y=-0.68876
x0=0.08430, x1=7.28904, y=0.92882
x0=-3.63717, x1=0.56583, y=1.01166
x0=0.57094, x1=-0.53044, y=0.03451
x0=-2.78770, x1=4.41527, y=-1.30273
x0=-7.03764, x1=2.33989, y=0.03366
x0=-3.21376, x1=3.74220, y=-0.49305
x0=6.79037, x1=4.95984, y=-0.48382
x0=5.09493, x1=-2.44629, y=-1.56834
x0=-1.10310, x1=-3.92864, y=-0.18434
x0=-6.58392, x1=-1.26408, y=-1.24956
x0=4.66182, x1=-8.95681, y=-1.44980
x0=1.85265, x1=0.41196, y=1.36095
x0=9.27016, x1=-1.00413, y=-0.68970
x0=-0.06815, x1=-0.04526, y=-0.11333
x0=-5.30512, x1=3.50381, y=0.47507
x0=-2.94967, x1=-0.07492, y=-0.26560
x0=5.50703, x1=7.23025, y=0.11116
x0=-0.81535, x1=4.08268, y=-1.53617
x0=-3.02256, x1=0.48607, y=0.34840
x0=-6.17190, x1=3.24476, y=0.00808
x0=9.95310, x1=-0.11202, y=-0.61587
x0=7.79117, x1=5.92579, y=0.64820
x0=6.98713, x1=6.84784, y=1.18235
x0=-4.09467, x1=-7.23275, y=0.00204
x0=-1.49793, x1=-5.06576, y=-0.05914
x0=8.99013, x1=-0.09270, y=0.32853
x0=-0.33495, x1=3.60583, y=-0.77646
x0=9.99794, x1=-5.22071, y=0.33127
x0=9.22654, x1=4.78761, y=-0.80023
x0=-1.90608, x1=-5.40791, y=-0.17660
x0=4.64043, x1=6.87979, y=-0.43557
x0=-3.94539, x1=-1.58475, y=-0.27990
x0=-1.88229, x1=7.12041, y=-0.20909
x0=-6.75483, x1=-4.55056, y=0.53258
x0=5.62738, x1=1.81255, y=0.36112
x0=2.45277, x1=2.73903, y=1.02741
x0=-3.66662, x1=-7.22025, y=-0.30459
x0=-3.12560, x1=8.76353, y=0.59811
x0=8.53738, x1=0.08742, y=0.86274
x0=4.22496, x1=-9.93747, y=-0.39301
x0=1.07910, x1=-6.78990, y=0.39623
x0=-1.95038, x1=5.24487, y=-1.79037
x0=3.42392, x1=4.20029, y=-1.15031
x0=6.02851, x1=-4.93923, y=0.72246
x0=-0.84956, x1=4.27772, y=-1.65800
x0=-5.39139, x1=8.42773, y=1.61807
x0=3.69449, x1=-6.60642, y=-0.84279
x0=-6.93149, x1=9.60094, y=-0.77909
x0=-5.09020, x1=6.63362, y=1.27278
x0=8.86977, x1=2.80690, y=0.85543
x0=2.76897, x1=8.07291, y=1.34019
x0=-3.27631, x1=-7.18843, y=-0.65227
x0=3.78330, x1=-1.56187, y=-1.59852
x0=-8.45029, x1=4.16479, y=-1.68119
x0=6.99410, x1=4.22920, y=-0.23299
x0=0.21246, x1=4.69908, y=-0.78904
x0=8.12410, x1=-7.08583, y=0.24454
x0=2.64214, x1=-4.88161, y=1.46466
x0=-1.57730, x1=-0.04494, y=-1.04490
x0=-4.97808, x1=-3.87662, y=1.63552
x0=8.08351, x1=1.35038, y=1.94958
x0=8.83067, x1=4.86950, y=-0.42791
x0=8.04874, x1=9.57907, y=0.82741
x0=-0.12609, x1=-4.36106, y=0.81316
x0=5.11184, x1=9.31706, y=-0.81376
x0=3.85344, x1=2.62277, y=-0.15738
x0=-3.15724, x1=5.39911, y=-0.75769
x0=-6.62071, x1=0.50557, y=0.15316
x0=2.40977, x1=-8.63780, y=-0.03999
x0=6.04432, x1=-8.17190, y=-1.18649
x0=0.77863, x1=9.90508, y=0.24026

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=-9.12362, x1=-0.08293, y=-0.37946
x0=-7.10136, x1=-4.49013, y=0.24550
x0=-1.53804, x1=9.61659, y=-1.19010
x0=5.26674, x1=9.20384, y=-0.63110
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=0.59947, x1=3.66742, y=2.19850
x0=-1.53064, x1=-3.10776, y=4.75687
x0=6.18582, x1=-4.91466, y=-30.40123
x0=-3.42306, x1=8.90214, y=-30.47259
x0=6.00781, x1=9.86979, y=59.29582
x0=1.11019, x1=2.24903, y=2.49685
x0=5.11191, x1=6.37032, y=32.56445
x0=-1.93674, x1=5.74181, y=-11.12040
x0=-8.98656, x1=0.19690, y=-1.76949
x0=8.01212, x1=-3.98710, y=-31.94514
x0=3.52005, x1=2.14483, y=7.54993
x0=-5.52011, x1=-5.95323, y=32.86244
x0=-0.98863, x1=8.54690, y=-8.44973
x0=-3.03717, x1=3.02245, y=-9.17968
x0=-2.00752, x1=5.29186, y=-10.62351
x0=-9.70885, x1=-7.95711, y=77.25441
x0=-5.71780, x1=1.40784, y=-8.04976
x0=7.28012, x1=3.97906, y=28.96804
x0=2.39252, x1=-4.66991, y=-11.17286
x0=2.62898, x1=-0.25854, y=-0.67971
x0=-6.23589, x1=5.23668, y=-32.65535
x0=-0.75265, x1=4.94119, y=-3.71897
x0=-7.50441, x1=6.38675, y=-47.92881
x0=7.53441, x1=9.54614, y=71.92458
x0=5.71797, x1=8.55208, y=48.90060
x0=9.95591, x1=9.74110, y=96.98159
x0=6.95510, x1=-6.11751, y=-42.54793
x0=8.57519, x1=0.37135, y=3.18439
x0=0.36283, x1=4.35015, y=1.57837
x0=-8.64050, x1=-5.81406, y=50.23642
x0=2.32497, x1=4.14597, y=9.63924
x0=9.96693, x1=-1.36711, y=-13.62594
x0=-4.54887, x1=4.94846, y=-22.50989
x0=4.74966, x1=-3.66458, y=-17.40552
x0=-9.48585, x1=4.46253, y=-42.33090
x0=1.96404, x1=-7.48597, y=-14.70275
x0=-4.11351, x1=-8.26995, y=34.01855
x0=7.61528, x1=2.55542, y=19.46027
x0=9.70651, x1=-7.61864, y=-73.95043
x0=-7.05956, x1=-4.82225, y=34.04298
x0=5.59231, x1=2.42211, y=13.54517
x0=-4.45069, x1=-0.83828, y=3.73092
x0=4.97148, x1=5.49709, y=27.32868
x0=9.43861, x1=3.12600, y=29.50511
x0=0.75803, x1=-6.18520, y=-4.68857
x0=7.07714, x1=5.26891, y=37.28876
x0=-4.40378, x1=3.75647, y=-16.54267
x0=-3.06982, x1=-6.91666, y=21.23288
x0=-5.99340, x1=2.82087, y=-16.90660
x0=6.05031, x1=1.70002, y=10.28567
x0=3.54522, x1=7.28412, y=25.82376
x0=-6.01967, x1=-2.96505, y=17.84862
x0=-5.37394, x1=-4.06356, y=21.83733
x0=1.00952, x1=1.02600, y=1.03577
x0=2.61305, x1=0.58126, y=1.51886
x0=1.43155, x1=7.94059, y=11.36737
x0=-3.08642, x1=-8.79252, y=27.13744
x0=3.08611, x1=-1.57010, y=-4.84551
x0=-8.13540, x1=-1.40549, y=11.43418
x0=-8.50876, x1=6.96408, y=-59.25573
x0=4.98104, x1=-6.36995, y=-31.72896
x0=-1.21956, x1=1.56658, y=-1.91053
x0=-2.82518, x1=-1.82021, y=5.14243
x0=-1.75764, x1=-9.45464, y=16.61788

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=-5.41711, x1=8.94797, y=-48.47214
x0=0.42081, x1=0.26946, y=0.11339
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=2.32450, x1=9.45383, y=0.00004
x0=6.57270, x1=0.40515, y=0.06058
x0=5.99445, x1=2.79485, y=0.05970
x0=3.94433, x1=6.60087, y=0.02493
x0=3.40796, x1=9.90148, y=0.00172
x0=7.66333, x1=8.37866, y=0.02864
x0=8.18367, x1=8.95621, y=0.02678
x0=7.62878, x1=1.33770, y=0.05150
x0=8.13672, x1=3.00397, y=0.04580
x0=2.43039, x1=5.81385, y=0.00939
x0=5.24450, x1=3.87705, y=0.05788
x0=2.73976, x1=4.55916, y=0.03647
x0=7.58616, x1=1.29785, y=0.05182
x0=6.43218, x1=7.64101, y=0.03063
x0=2.82569, x1=9.81469, y=0.00034
x0=5.24852, x1=1.48301, y=0.07304
x0=9.50875, x1=0.01008, y=0.04196
x0=6.36609, x1=6.27921, y=0.03853
x0=6.37571, x1=5.69286, y=0.04200
x0=5.31170, x1=9.14066, y=0.01709
x0=2.21447, x1=0.40341, y=0.17719
x0=6.55010, x1=1.93254, y=0.05831
x0=5.17310, x1=4.25180, y=0.05501
x0=0.79979, x1=0.90803, y=0.26184
x0=4.51044, x1=4.98633, y=0.04801
x0=6.41717, x1=5.89900, y=0.04074
x0=5.93705, x1=4.57225, y=0.04995
x0=4.89955, x1=1.45398, y=0.07792
x0=7.61224, x1=2.52695, y=0.04960
x0=6.19506, x1=6.32525, y=0.03824
x0=7.07415, x1=3.78254, y=0.04888
x0=8.00689, x1=2.85347, y=0.04676
x0=0.87969, x1=2.98931, y=0.00141
x0=2.69531, x1=7.96628, y=0.00188
x0=1.17764, x1=4.94613, y=0.00005
x0=1.13583, x1=3.54948, y=0.00266
x0=9.88455, x1=5.74703, y=0.03408
x0=2.62316, x1=4.46746, y=0.03567
x0=6.22139, x1=0.56143, y=0.06386
x0=5.11558, x1=1.09944, y=0.07621
x0=9.90003, x1=4.60668, y=0.03616
x0=6.67788, x1=9.90233, y=0.01990
x0=6.07168, x1=7.55459, y=0.03030
x0=9.20899, x1=8.32324, y=0.02879
x0=0.52398, x1=9.25865, y=0.00000
x0=2.22536, x1=3.81137, y=0.04136
x0=3.24069, x1=8.84964, y=0.00296
x0=2.02421, x1=4.39365, y=0.01869
x0=1.31497, x1=5.10247, y=0.00016
x0=1.87634, x1=9.83107, y=0.00000
x0=1.99126, x1=1.28843, y=0.16251
x0=3.73224, x1=2.99235, y=0.07751
x0=4.91752, x1=9.05059, y=0.01491
x0=1.21875, x1=4.11982, y=0.00108
x0=4.37400, x1=1.32350, y=0.08713
x0=6.44325, x1=3.92424, y=0.05143
x0=8.43838, x1=9.87758, y=0.02383
x0=6.85578, x1=4.29012, y=0.04784
x0=4.41653, x1=8.18583, y=0.01621
x0=1.04233, x1=9.02293, y=0.00000
x0=0.36119, x1=9.51403, y=0.00000
x0=9.82252, x1=5.22188, y=0.03526
x0=6.16893, x1=3.76266, y=0.05369
x0=1.00100, x1=0.10764, y=0.39625
x0=7.61102, x1=1.92886, y=0.05076
x0=8.50503, x1=0.09863, y=0.04690
x0=3.59840, x1=8.69246, y=0.00599
x0=3.81183, x1=9.10051, y=0.00605
x0=4.25302, x1=1.80061, y=0.08576
x0=5.75472, x1=0.71422, y=0.06879
x0=2.88941, x1=5.27428, y=0.02610
x0=1.14087, x1=1.18932, y=0.20309

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=0.07224, x1=4.83413, y=0.00000
x0=8.37709, x1=0.75316, y=0.04743
x0=5.93442, x1=4.80276, y=0.04845
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=-2.49955, x1=-2.97805, y=6.05004
x0=5.36302, x1=-2.98450, y=-12.26215
x0=-9.49284, x1=-6.42651, y=54.49818
x0=-7.56285, x1=4.52761, y=-36.91947
x0=-6.19434, x1=5.77222, y=-39.52614
x0=2.49917, x1=-1.08185, y=-4.78023
x0=-0.23693, x1=-6.60442, y=8.74933
x0=-1.77386, x1=-9.26391, y=20.12276
x0=-2.91034, x1=6.00235, y=-13.99107
x0=8.41078, x1=3.21689, y=29.05921
x0=-1.50046, x1=3.29836, y=-6.32372
x0=2.95431, x1=6.22812, y=23.24812
x0=-2.77446, x1=3.89608, y=-9.09660
x0=3.52528, x1=-6.15345, y=-25.82756
x0=0.93812, x1=3.69329, y=3.29821
x0=2.89526, x1=-7.49413, y=-29.74835
x0=4.82309, x1=0.54659, y=2.92187
x0=4.02402, x1=-0.76497, y=-3.28529
x0=1.52164, x1=3.45669, y=6.48402
x0=0.46940, x1=-4.56361, y=0.67329
x0=4.47841, x1=-5.33087, y=-21.78157
x0=-0.00313, x1=-6.51417, y=6.35600
x0=0.63837, x1=5.42307, y=1.89706
x0=1.99825, x1=3.35033, y=8.67030
x0=-5.95840, x1=-8.17277, y=54.43013
x0=-8.64086, x1=-6.18660, y=51.91670
x0=-6.26761, x1=-5.94518, y=43.04707
x0=-0.99057, x1=3.36982, y=-5.50212
x0=7.20410, x1=5.49326, y=39.21901
x0=-1.42531, x1=-6.63915, y=14.47859
x0=-2.94213, x1=-9.76712, y=21.00825
x0=0.73710, x1=1.36105, y=0.90940
x0=8.73082, x1=1.44463, y=13.05410
x0=2.23127, x1=4.38898, y=12.98851
x0=-8.34899, x1=3.32426, y=-27.93022
x0=5.50104, x1=9.61398, y=44.46457
x0=2.17801, x1=-2.82436, y=-9.68461
x0=0.95738, x1=-8.11675, y=-7.38239
x0=-0.55414, x1=0.58903, y=0.08450
x0=-6.13931, x1=-9.03218, y=63.02876
x0=-9.91752, x1=1.69639, y=-16.12975
x0=8.69943, x1=0.51438, y=3.99500
x0=7.25550, x1=-7.24864, y=-52.36416
x0=-8.23493, x1=-7.02446, y=59.36024
x0=-8.28267, x1=-0.42242, y=3.70019
x0=6.68156, x1=0.30114, y=2.40763
x0=-9.91258, x1=1.76094, y=-16.69717
x0=9.72961, x1=8.88630, y=91.51150
x0=8.52173, x1=4.75584, y=44.07846
x0=-3.26901, x1=0.47697, y=-2.03167
x0=-1.04046, x1=-9.19559, y=18.65925
x0=0.55169, x1=-7.03949, y=-0.39901
x0=-4.06291, x1=-3.37560, y=9.60523
x0=3.13361, x1=8.97788, y=34.88055
x0=-3.39855, x1=0.15210, y=-1.32341
x0=-7.56163, x1=-3.67507, y=31.34210
x0=0.98729, x1=2.03608, y=1.99703
x0=0.00975, x1=-7.81049, y=7.29086
x0=-9.67914, x1=-8.76383, y=75.54726
x0=-6.16449, x1=-3.17016, y=22.75999
x0=1.43674, x1=0.16603, y=-0.11421
x0=-2.70188, x1=0.00057, y=-0.53267
x0=-2.13472, x1=-2.97042, y=6.36830
x0=8.36529, x1=-6.90481, y=-64.74035
x0=5.11450, x1=9.12954, y=39.97380
x0=1.93517, x1=2.15068, y=5.08788
x0=-1.56232, x1=-7.64006, y=16.66592
x0=3.26262, x1=4.09617, y=15.74856
x0=-0.46244, x1=-4.21433, y=7.13263
x0=-1.00371, x1=-2.47739, y=5.64316
x0=-7.00384, x1=-7.96614, y=64.65919
x0=1.55316, x1=8.61755, y=17.38658
x0=-3.39166, x1=9.03867, y=-23.02737
x0=-7.48145, x1=1.04869, y=-7.88516
x0=-5.52174, x1=0.13223, y=-0.52507
x0=-4.17708, x1=0.32747, y=-1.96909
x0=9.35934, x1=0.34650, y=2.67124
x0=-3.01084, x1=2.96596, y=-7.42833
x0=7.50968, x1=6.38969, y=49.19488
x0=4.86135, x1=1.58763, y=7.33064
x0=-4.00599, x1=-8.54253, y=25.08705
x0=-7.78009, x1=7.09068, y=-58.82628
x0=-3.16714, x1=1.91523, y=-5.28328
x0=7.96027, x1=-8.96192, y=-77.58067
x0=0.39935, x1=5.11719, y=-0.28340
x0=5.29423, x1=-6.89083, y=-29.27071
x0=2.26072, x1=-3.40955, y=-11.90733
x0=-4.36489, x1=-5.24463, y=17.93041
x0=-1.58178, x1=8.17149, y=-16.73375
x0=2.15106, x1=2.79419, y=7.64892
x0=2.77703, x1=-2.64078, y=-10.89714
x0=4.76656, x1=0.85928, y=4.17816
x0=-6.53183, x1=-4.84752, y=37.20989
x0=3.54943, x1=-1.94675, y=-8.55459
x0=8.81632, x1=-6.12945, y=-61.16361
x0=0.96154, x1=-4.96565, y=-4.54530
x0=6.71222, x1=-0.05517, y=0.19993
x0=1.22691, x1=8.56037, y=12.20362
x0=0.56500, x1=3.87750, y=0.97816
x0=4.10887, x1=6.14179, y=25.40403
x0=-0.52662, x1=6.41242, y=-8.78406
x0=4.83252, x1=8.64028, y=36.88556
x0=4.64183, x1=-6.63432, y=-27.13371
x0=2.90971, x1=6.67758, y=24.78445
x0=-7.93024, x1=-6.11972, y=51.91008
x0=3.44857, x1=-9.48277, y=-39.39906
x0=3.00435, x1=-5.14281, y=-21.02529
x0=-1.24341, x1=-2.09620, y=5.02827
x0=-3.89154, x1=9.67664, y=-29.11928
x0=2.46434, x1=0.21386, y=-0.25468
x0=3.76564, x1=3.97023, y=16.04099
x0=-3.21226, x1=9.65049, y=-23.40893
x0=-1.84240, x1=-5.42436, y=11.88741
x0=3.02584, x1=0.05742, y=-0.67291
x0=-7.72517, x1=-9.62930, y=81.23236
x0=-9.23969, x1=-7.06581, y=59.41665
x0=3.44789, x1=0.61619, y=1.87916
x0=-7.40612, x1=-8.61284, y=71.97215
x0=-8.94877, x1=-4.15633, y=34.61413
x0=-0.82757, x1=6.62720, y=-10.92719
x0=2.68584, x1=6.71980, y=23.73031
x0=2.01473, x1=4.78704, y=12.86108
x0=5.99320, x1=1.52130, y=8.61659
x0=-5.97406, x1=-6.67670, y=44.77866
x0=1.62578, x1=-0.81435, y=-2.38667
x0=-8.32785, x1=-9.85160, y=83.09287
x0=1.59858, x1=-3.88406, y=-8.96097
x0=-2.35026, x1=6.82231, y=-14.82807
x0=0.00492, x1=3.10046, y=-1.74661

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=-4.81141, x1=-8.19662, y=35.25773
x0=2.32644, x1=-5.51545, y=-19.15326
x0=-1.97947, x1=-1.88702, y=4.20130
x0=-8.26635, x1=2.98564, y=-24.99360
x0=3.59872, x1=1.76872, y=6.76224
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=2.83872, x1=-0.54205, y=0.41703
x0=9.04930, x1=6.24070, y=176.21873
x0=9.75390, x1=-8.73831, y=372.39463
x0=3.52547, x1=-3.35717, y=19.86711
x0=4.41226, x1=-1.40586, y=4.36028
x0=-4.98609, x1=3.17420, y=-25.11886
x0=-4.48738, x1=-8.30342, y=-154.69514
x0=2.59133, x1=5.84696, y=44.29474
x0=-6.69410, x1=-3.84202, y=-49.40615
x0=-6.30582, x1=7.65109, y=-184.56875
x0=0.02732, x1=-5.97308, y=0.48728
x0=-6.84995, x1=-2.80527, y=-26.95294
x0=-0.28493, x1=-3.26569, y=-1.51935
x0=5.59070, x1=-3.69703, y=38.20689
x0=-3.90659, x1=-6.41830, y=-80.46508
x0=8.85480, x1=-1.76978, y=13.86717
x0=-1.62357, x1=1.39585, y=-1.58169
x0=-9.18891, x1=8.56730, y=-337.22642
x0=-1.36880, x1=-4.64070, y=-14.73935
x0=-8.46946, x1=-5.08510, y=-109.50249
x0=-2.47532, x1=8.61296, y=-91.81359
x0=0.30203, x1=-2.58150, y=1.00637
x0=7.47355, x1=6.96751, y=181.40635
x0=3.95818, x1=4.57552, y=41.43294
x0=7.19115, x1=6.86274, y=169.34139
x0=-3.69830, x1=-8.35336, y=-129.03137
x0=9.05220, x1=3.27363, y=48.50471
x0=-0.96193, x1=5.35319, y=-13.78288
x0=-0.35765, x1=-5.73546, y=-5.88257
x0=-4.93640, x1=5.92835, y=-86.74591
x0=8.20451, x1=-0.70947, y=2.06488
x0=1.77572, x1=-0.69742, y=0.43185
x0=7.40417, x1=-8.84185, y=289.42253
x0=5.12014, x1=6.52303, y=108.93073
x0=5.88672, x1=0.18699, y=0.10292
x0=-1.57287, x1=-1.14141, y=-1.02459
x0=-1.07062, x1=-0.83399, y=-0.37233
x0=-8.80222, x1=-4.47322, y=-88.06501
x0=-8.84614, x1=5.56472, y=-136.96499
x0=2.31115, x1=-5.39121, y=33.58686
x0=1.62805, x1=1.64155, y=2.19353
x0=-4.26590, x1=-4.23330, y=-38.22425
x0=-5.44209, x1=-1.14676, y=-3.57831
x0=6.78849, x1=-0.39171, y=0.52079
x0=-2.28745, x1=-7.56294, y=-65.41888
x0=-2.01097, x1=0.32457, y=-0.10592
x0=6.91615, x1=3.18632, y=35.10861
x0=6.66939, x1=-5.89053, y=115.70843
x0=-6.72126, x1=8.32160, y=-232.72048
x0=5.04990, x1=6.37564, y=102.63612
x0=-6.52145, x1=-9.85659, y=-316.78735
x0=4.58307, x1=-8.18506, y=153.52195
x0=9.28113, x1=0.58794, y=1.60414
x0=4.92653, x1=1.58560, y=6.19298
x0=-4.13506, x1=-5.27083, y=-57.43930
x0=-0.40299, x1=2.04697, y=-0.84427
x0=9.87538, x1=-9.81311, y=475.48482
x0=5.33295, x1=4.56560, y=55.58178
x0=0.03364, x1=-0.72796, y=0.00891
x0=-8.55000, x1=2.38695, y=-24.35701
x0=9.23005, x1=1.55938, y=11.22219
x0=-6.94608, x1=5.66817, y=-111.58244
x0=-8.35698, x1=3.41564, y=-48.74880
x0=3.38353, x1=-7.05636, y=84.23665
x0=0.43690, x1=8.27413, y=14.95528
x0=2.50676, x1=-7.86570, y=77.54570
x0=7.97599, x1=2.37597, y=22.51320
x0=-2.35666, x1=-5.98564, y=-42.21706
x0=-6.37788, x1=-0.74805, y=-1.78446
x0=2.43082, x1=6.01980, y=44.04406
x0=-5.08449, x1=-4.31917, y=-47.42616
x0=5.44632, x1=6.75848, y=124.38599
x0=-0.75710, x1=6.37106, y=-15.36550
x0=7.84050, x1=1.33903, y=7.02897
x0=7.29276, x1=5.55061, y=112.34243
x0=1.53041, x1=6.71136, y=34.46675
x0=-1.04167, x1=-0.19658, y=-0.02013
x0=-9.45590, x1=4.75347, y=-106.83033
x0=-8.51411, x1=4.50409, y=-86.36226
x0=-8.86256, x1=8.67728, y=-333.65403
x0=4.61956, x1=-3.84212, y=34.09668
x0=-6.53710, x1=0.40543, y=-0.53726
x0=-0.63983, x1=9.45490, y=-28.59885
x0=1.41708, x1=8.05159, y=45.93336
x0=6.45717, x1=-0.88418, y=2.52405
x0=-8.54303, x1=9.76968, y=-407.70223
x0=7.43346, x1=2.39315, y=21.28626
x0=2.76206, x1=-4.68570, y=30.32157
x0=4.24589, x1=1.39536, y=4.13342
x0=-6.31561, x1=3.12561, y=-30.85004
x0=-5.64977, x1=1.64896, y=-7.68108
x0=-5.30374, x1=-9.06087, y=-217.71717
x0=-8.27119, x1=-9.74842, y=-393.01298
x0=-8.34262, x1=-0.02975, y=-0.00369
x0=-2.28071, x1=-7.48943, y=-63.96433

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=1.11563, x1=6.00934, y=20.14394
x0=9.28270, x1=1.16581, y=6.30811
x0=7.02528, x1=-1.64944, y=9.55664
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=0.25034, y=-1.38494
x0=1.77163, y=0.57190
x0=6.36675, y=1.85109
x0=6.31058, y=1.84223
x0=8.75284, y=2.16938
x0=8.39723, y=2.12790
x0=9.67147, y=2.26918
x0=6.63692, y=1.89265
x0=2.25908, y=0.81496
x0=7.33796, y=1.99306
x0=4.38234, y=1.47758
x0=1.18060, y=0.16602
x0=6.41157, y=1.85810
x0=5.79627, y=1.75722
x0=0.92184, y=-0.08138
x0=4.44623, y=1.49206
x0=5.60993, y=1.72454
x0=7.42444, y=2.00478
x0=3.99031, y=1.38387
x0=0.55963, y=-0.58049
x0=7.14721, y=1.96672
x0=5.77770, y=1.75401
x0=5.63301, y=1.72864
x0=0.06254, y=-2.77201
x0=5.97619, y=1.78778
x0=5.97893, y=1.78824
x0=1.55888, y=0.44397
x0=5.98909, y=1.78994
x0=6.15720, y=1.81762
x0=9.58741, y=2.26045
x0=6.92224, y=1.93474
x0=9.27318, y=2.22713
x0=9.53734, y=2.25521
x0=0.12812, y=-2.05478
x0=3.74467, y=1.32033
x0=4.07986, y=1.40606
x0=4.82609, y=1.57404
x0=3.80849, y=1.33723
x0=0.26871, y=-1.31413
x0=4.99301, y=1.60804
x0=3.94132, y=1.37151
x0=7.90879, y=2.06797
x0=4.50596, y=1.50540
x0=4.90145, y=1.58953
x0=6.52006, y=1.87488
x0=7.67281, y=2.03768
x0=2.43520, y=0.89003
x0=5.83442, y=1.76377
x0=8.37682, y=2.12547
x0=1.63401, y=0.49104
x0=5.57215, y=1.71778
x0=5.97827, y=1.78813
x0=6.32486, y=1.84449
x0=5.75505, y=1.75008
x0=6.65861, y=1.89591
x0=1.96203, y=0.67398
x0=0.39747, y=-0.92264
x0=8.77851, y=2.17231
x0=4.35946, y=1.47235
x0=6.71287, y=1.90403
x0=1.10030, y=0.09558
x0=3.82772, y=1.34227
x0=9.20899, y=2.22018
x0=1.53237, y=0.42681
x0=6.28553, y=1.83825
x0=0.31935, y=-1.14146
x0=0.67710, y=-0.38994
x0=5.55821, y=1.71528
x0=1.00490, y=0.00488
x0=6.90395, y=1.93209
x0=1.51741, y=0.41700
x0=2.42435, y=0.88556
x0=0.68801, y=-0.37395
x0=8.66370, y=2.15914
x0=6.18198, y=1.82164
x0=9.34760, y=2.23512
x0=9.97338, y=2.29992
x0=8.14276, y=2.09713
x0=2.98557, y=1.09379
x0=4.57759, y=1.52117
x0=4.07660, y=1.40526
x0=4.64577, y=1.53596
x0=0.71845, y=-0.33066
x0=0.62764, y=-0.46579
x0=2.32876, y=0.84534
x0=9.29869, y=2.22987
x0=8.17783, y=2.10143
x0=0.54785, y=-0.60175
x0=3.33195, y=1.20356
x0=4.68339, y=1.54402
x0=8.40663, y=2.12902
x0=4.86668, y=1.58241
x0=1.98108, y=0.68364
x0=8.80535, y=2.17536
x0=6.80757, y=1.91803
x0=2.89818, y=1.06408
x0=1.15272, y=0.14213

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=4.39330, y=1.48008
x0=1.88282, y=0.63277
x0=8.40391, y=2.12870
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=-2.45209, y=-63.68130
x0=9.04437, y=68040.86115
x0=-7.18769, y=-16842.17577
x0=9.11138, y=70534.73704
x0=-0.36655, y=-0.27000
x0=4.31024, y=1935.77812
x0=3.65329, y=894.65228
x0=-4.85921, y=-2247.57337
x0=-3.16692, y=-242.86888
x0=6.89899, y=18277.09192
x0=-7.17209, y=-16655.74218
x0=0.96300, y=4.47164
x0=-1.00092, y=-1.00276
x0=-2.47269, y=-66.53060
x0=-1.13103, y=-1.51306
x0=-7.49799, y=-20910.89758
x0=-1.89620, y=-16.70498
x0=-8.90997, y=-50488.43906
x0=2.07493, y=72.31012
x0=-3.38047, y=-341.44633
x0=-8.32630, y=-35728.47396
x0=-7.42476, y=-19886.34093
x0=-3.33330, y=-317.30646
x0=6.87285, y=17944.98147
x0=-5.90127, y=-6120.73196
x0=2.62580, y=199.99097
x0=-3.71473, y=-558.10801
x0=-1.73667, y=-10.65947
x0=-7.96819, y=-28540.79652
x0=5.45669, y=5922.05548
x0=5.97146, y=9118.86303
x0=-0.72971, y=-0.50915
x0=-7.49413, y=-20855.83728
x0=0.24563, y=0.32532
x0=5.70010, y=7296.51385
x0=-4.63055, y=-1751.65983
x0=6.81795, y=17263.33146
x0=5.85987, y=8329.93956
x0=0.25425, y=0.34057
x0=-2.21056, y=-37.03264
x0=-6.55527, y=-10503.40477
x0=1.85607, y=45.59097
x0=9.49418, y=86221.90234
x0=2.12329, y=79.68591
x0=-5.97260, y=-6510.94577
x0=-9.04601, y=-54545.21029
x0=-6.65123, y=-11316.53387
x0=9.97090, y=109538.40503
x0=-6.19490, y=-7856.51804
x0=4.63952, y=2738.99549
x0=-5.52973, y=-4379.38679
x0=-2.41843, y=-59.23632
x0=2.13755, y=81.97594
x0=-1.47454, y=-4.74967
x0=-3.46170, y=-386.46491
x0=-1.85940, y=-15.10340
x0=-2.05351, y=-25.22971
x0=-8.21198, y=-33292.45620
x0=-1.71998, y=-10.15103
x0=-0.29347, y=-0.22738
x0=2.33946, y=120.64754
x0=8.22176, y=42769.48275
x0=0.72661, y=2.11948
x0=-7.06046, y=-15369.56677
x0=9.42374, y=83143.70365
x0=9.71734, y=96581.98852
x0=-1.33138, y=-2.95999
x0=-4.22904, y=-1094.83259
x0=-4.17644, y=-1026.00284
x0=4.14652, y=1614.04452
x0=-9.82185, y=-82959.01838
x0=-2.04502, y=-24.69260
x0=7.00222, y=19637.10478
x0=-8.53224, y=-40475.52528
x0=7.12989, y=21429.97081
x0=-2.55337, y=-78.70936
x0=9.14027, y=71632.21201
x0=-2.93509, y=-163.21472
x0=7.32066, y=24351.00600
x0=7.81066, y=33336.70168
x0=-6.91077, y=-13771.07394
x0=7.59696, y=29139.25309
x0=2.91665, y=319.66772
x0=-0.56644, y=-0.38270
x0=-7.06683, y=-15440.76884
x0=3.81767, y=1097.40122
x0=8.67639, y=55573.56938
x0=-5.42317, y=-3961.51187
x0=1.29045, y=11.45641
x0=-1.20072, y=-1.90733
x0=-9.84731, y=-84059.79552
x0=1.50456, y=20.00825
x0=5.90764, y=8660.64994
x0=-5.03215, y=-2692.67061
x0=-6.61589, y=-11011.43341
x0=-1.65895, y=-8.46340
x0=9.46000, y=84716.97964
x0=1.35967, y=13.78653
x0=-5.82907, y=-5745.09963
x0=-9.84275, y=-83861.63155
x0=5.22634, y=4820.68224
x0=-9.66636, y=-76483.46205
x0=-3.17812, y=-247.38808
x0=-8.16038, y=-32237.43967
x0=0.37536, y=0.59645
x0=8.07665, y=39223.58790
x0=3.88419, y=1189.28609
x0=-7.88994, y=-27136.72397
x0=7.17093, y=22033.36370

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=-8.97307, y=-52339.04788
x0=-1.26258, y=-2.34841
x0=-6.60925, y=-10954.81680
x0=5.45001, y=5887.52667
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=7.33754, y=-0.13321
x0=-3.06209, y=50.91755
x0=5.44320, y=0.57275
x0=7.50149, y=-0.08265
x0=-3.46332, y=-193.59502
x0=-6.48371, y=-66585.00118
x0=-0.37743, y=-0.02332
x0=-1.45948, y=-1.33799
x0=-1.66062, y=2.22558
x0=-6.83127, y=-81801.81401
x0=-7.31956, y=-281686.00062
x0=-3.06291, y=50.24029
x0=2.65048, y=0.87261
x0=6.52883, y=-0.18678
x0=-3.22051, y=-12.54935
x0=-3.49391, y=-304.74166
x0=-7.52154, y=-240528.94360
x0=2.69943, y=0.90155
x0=8.06504, y=0.03945
x0=-5.18392, y=5553.65396
x0=2.68968, y=0.89921
x0=-8.36401, y=1458819.63264
x0=-2.24284, y=21.15822
x0=8.48998, y=0.06638
x0=2.09241, y=0.25847
x0=-1.51059, y=-0.89496
x0=-0.09534, y=-0.00009
x0=6.95124, y=-0.27063
x0=6.30842, y=-0.00156
x0=-2.33405, y=31.94569
x0=1.52981, y=-0.03081
x0=2.17816, y=0.23561
x0=2.55664, y=0.72135
x0=7.29536, y=-0.10690
x0=5.93034, y=0.27656
x0=6.37786, y=-0.03475
x0=6.20364, y=0.01127
x0=-8.66874, y=1549611.30107
x0=-5.52530, y=33032.67433
x0=-1.20461, y=-1.25628
x0=-7.19586, y=-93631.43088
x0=3.26795, y=-0.00949
x0=-1.95275, y=13.94198
x0=-7.61973, y=-156397.05358
x0=0.00062, y=-0.00000
x0=-5.18894, y=5640.77647
x0=-9.18960, y=2334736.46591
x0=-6.54694, y=-92018.03723
x0=5.29253, y=0.29301
x0=3.04012, y=0.15989
x0=-3.26996, y=-6.23479
x0=6.16598, y=0.03929
x0=4.41797, y=-0.34073
x0=-8.06387, y=396962.08364
x0=-1.38958, y=-1.58695
x0=3.46714, y=-0.20044
x0=0.66559, y=-0.04879
x0=7.34943, y=-0.13780
x0=-2.59721, y=143.97161
x0=4.09514, y=-0.26692
x0=-7.08632, y=-219884.96714
x0=-5.96187, y=44172.11084
x0=-9.96538, y=-1804486.59095
x0=-4.68497, y=-305.62451
x0=6.51111, y=-0.17833
x0=4.76172, y=0.04688
x0=5.97208, y=0.29301
x0=-3.85003, y=-2103.98594
x0=3.53547, y=-0.42830
x0=2.80660, y=0.80617
x0=-6.58386, y=-91482.46488
x0=-8.31466, y=942390.86227
x0=-8.29142, y=739847.69296
x0=-3.67152, y=-1428.31151
x0=-3.05952, y=53.06671
x0=6.78581, y=-0.03405
x0=-0.04062, y=-0.00000
x0=5.74304, y=0.03812
x0=-7.73282, y=-128222.39847
x0=1.54630, y=-0.01896
x0=-5.20348, y=5976.73767
x0=-0.10773, y=-0.00015
x0=4.70384, y=-0.00806
x0=8.39924, y=0.08950
x0=-0.11298, y=-0.00018
x0=-1.35557, y=-1.60065
x0=-3.37910, y=-29.42516
x0=-1.55487, y=-0.28044
x0=8.03092, y=0.03431
x0=5.20026, y=0.17918
x0=6.12482, y=0.09255
x0=-8.15576, y=453922.04744
x0=0.69031, y=-0.05234
x0=-4.39257, y=-2321.86656
x0=8.42234, y=0.09068
x0=-0.79582, y=-0.32715
x0=8.02736, y=0.03364
x0=8.97766, y=0.00724
x0=8.59686, y=0.01904

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=0.59147, y=-0.03793
x0=-3.00658, y=100.58065
x0=7.97747, y=0.02319
x0=7.14404, y=-0.07762
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=6.34069, x1=6.53414, y=174288.51539
x0=8.97475, x1=9.36487, y=841254662.89255
x0=1.53502, x1=9.59383, y=61.03203
x0=4.61411, x1=3.36472, y=171.58126
x0=3.55276, x1=-4.70136, y=0.00258
x0=0.48705, x1=9.06454, y=0.00147
x0=1.11723, x1=7.66742, y=2.33946
x0=0.52124, x1=6.69905, y=0.01272
x0=0.74136, x1=-9.14532, y=15.43961
x0=3.37511, x1=4.54619, y=252.17272
x0=2.59509, x1=1.85634, y=5.87230
x0=5.55285, x1=-7.73801, y=0.00000
x0=9.90633, x1=-1.36471, y=0.04374
x0=2.22687, x1=6.02918, y=124.82711
x0=2.14650, x1=7.07370, y=222.10838
x0=0.83698, x1=-2.37184, y=1.52512
x0=4.19920, x1=9.84263, y=1360194.38269
x0=3.41730, x1=-5.28143, y=0.00152
x0=1.66259, x1=-2.53338, y=0.27585
x0=6.51086, x1=6.78365, y=330700.91340
x0=5.59739, x1=-8.58189, y=0.00000
x0=3.54231, x1=3.92729, y=143.61820
x0=1.76022, x1=-7.42224, y=0.01504
x0=1.05039, x1=0.71883, y=1.03597
x0=2.63913, x1=6.66961, y=647.10350
x0=6.07282, x1=-8.08496, y=0.00000
x0=2.39276, x1=-7.34009, y=0.00166
x0=6.80684, x1=3.25786, y=517.15092
x0=6.04179, x1=-3.99575, y=0.00076
x0=0.97349, x1=5.33472, y=0.86648
x0=3.08625, x1=6.45124, y=1436.93742
x0=8.16627, x1=8.97564, y=153459037.98563
x0=4.96876, x1=7.05578, y=81765.49418
x0=1.66234, x1=-7.09069, y=0.02722
x0=7.66155, x1=-9.38921, y=0.00000
x0=1.64416, x1=-9.62700, y=0.00834
x0=3.63011, x1=-7.36670, y=0.00008
x0=0.00492, x1=-3.42453, y=79960350.85991
x0=3.78425, x1=-7.88068, y=0.00003
x0=2.57255, x1=0.09105, y=1.08984
x0=9.33466, x1=-4.29757, y=0.00007
x0=1.82306, x1=1.47715, y=2.42796
x0=5.51043, x1=-5.01136, y=0.00019
x0=1.82607, x1=-3.51105, y=0.12073
x0=2.32648, x1=-1.35219, y=0.31927
x0=2.71198, x1=-3.36413, y=0.03486
x0=8.07591, x1=-4.35564, y=0.00011
x0=5.58442, x1=-5.18676, y=0.00013
x0=9.31079, x1=-5.13939, y=0.00001
x0=4.97756, x1=5.73674, y=9967.79469
x0=6.27032, x1=-0.41559, y=0.46629
x0=2.68070, x1=-8.74721, y=0.00018
x0=8.21071, x1=-8.51381, y=0.00000
x0=3.13317, x1=1.93396, y=9.10363
x0=3.15535, x1=4.04715, y=104.64509
x0=9.91603, x1=9.14937, y=1305752101.06571
x0=3.71239, x1=-8.22885, y=0.00002
x0=1.95851, x1=-7.17008, y=0.00807
x0=3.76166, x1=7.59422, y=23418.76532
x0=3.47325, x1=-0.10312, y=0.87950
x0=2.56051, x1=3.24307, y=21.09746
x0=3.12858, x1=8.44132, y=15183.82925
x0=5.68459, x1=-8.64613, y=0.00000
x0=1.64446, x1=7.69648, y=45.98631
x0=6.50188, x1=-5.56477, y=0.00003
x0=1.03138, x1=1.17809, y=1.03707
x0=9.76089, x1=-3.03204, y=0.00100
x0=3.13367, x1=-0.67234, y=0.46396
x0=5.70445, x1=-5.90882, y=0.00003
x0=7.26748, x1=7.03332, y=1143897.39174
x0=2.91921, x1=-2.59467, y=0.06206
x0=9.39295, x1=-8.78861, y=0.00000
x0=8.21264, x1=-9.09742, y=0.00000
x0=7.91827, x1=2.06632, y=71.92204
x0=3.74180, x1=7.06750, y=11226.68665
x0=4.80288, x1=0.12570, y=1.21804
x0=1.20251, x1=-2.35036, y=0.64828
x0=7.40408, x1=4.93661, y=19599.10503
x0=1.25107, x1=-9.31381, y=0.12415
x0=3.71629, x1=8.79095, y=102755.03753
x0=1.57233, x1=-9.35478, y=0.01450
x0=5.39221, x1=-5.40719, y=0.00011
x0=3.25904, x1=0.60505, y=2.04382
x0=4.20770, x1=-7.52287, y=0.00002
x0=5.47579, x1=-8.30560, y=0.00000
x0=1.01003, x1=-1.22162, y=0.98788
x0=9.96031, x1=-0.24060, y=0.57520
x0=6.85072, x1=-2.69152, y=0.00563
x0=8.90226, x1=-5.05636, y=0.00002
x0=5.26177, x1=-3.13957, y=0.00544
x0=9.86181, x1=2.45143, y=273.28223
x0=9.25177, x1=7.91813, y=44739505.16973
x0=7.94695, x1=5.37841, y=69446.17707
x0=0.87756, x1=2.78022, y=0.69550
x0=2.10691, x1=-6.74305, y=0.00657
x0=7.44991, x1=-9.54391, y=0.00000
x0=1.18138, x1=-9.35335, y=0.21034
x0=4.45246, x1=-4.64847, y=0.00097
x0=0.57243, x1=0.09330, y=0.94929
x0=4.76282, x1=-7.71356, y=0.00001
x0=2.17542, x1=-5.13368, y=0.01850
x0=4.49731, x1=-0.58391, y=0.41566
x0=3.19120, x1=3.10906, y=36.88291
x0=2.87946, x1=-0.14427, y=0.85849
x0=1.07319, x1=7.18237, y=1.66082
x0=2.62296, x1=1.36637, y=3.73444
x0=6.15797, x1=1.80682, y=26.69159

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=0.60523, x1=-9.25947, y=104.53962
x0=6.87795, x1=-6.37274, y=0.00000
x0=7.79637, x1=-8.58071, y=0.00000
x0=3.03912, x1=-3.63193, y=0.01765
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=6.65754, x1=-7.32239, y=178.48004
x0=-0.71632, x1=-9.62182, y=-33.15820
x0=9.01921, x1=2.74471, y=33.97277
x0=-0.99319, x1=3.03987, y=-4.58892
x0=-6.98348, x1=9.73576, y=-330.96452
x0=8.38362, x1=-0.24585, y=0.25335
x0=0.45515, x1=-1.77776, y=0.71924
x0=-1.16215, x1=-2.84620, y=-4.70718
x0=9.65333, x1=1.93826, y=18.13304
x0=2.41545, x1=2.70222, y=8.81876
x0=-4.40800, x1=-5.83916, y=-75.14699
x0=2.01660, x1=-5.09452, y=26.16956
x0=-2.37043, x1=6.62227, y=-51.97700
x0=-0.42168, x1=-8.08758, y=-13.79096
x0=0.12220, x1=3.93538, y=0.94630
x0=8.09290, x1=-0.21386, y=0.18506
x0=0.93433, x1=-8.74804, y=35.75127
x0=-3.15129, x1=-2.36338, y=-8.80088
x0=3.24904, x1=6.61330, y=71.04960
x0=9.71870, x1=-0.99353, y=4.79668
x0=6.00223, x1=3.67246, y=40.47589
x0=9.32780, x1=9.94986, y=461.72428
x0=0.53441, x1=-7.15636, y=13.68447
x0=-1.27110, x1=-5.80844, y=-21.44215
x0=-6.90875, x1=-2.87818, y=-28.61582
x0=1.15077, x1=6.90126, y=27.40411
x0=1.01206, x1=9.11515, y=42.04388
x0=5.88968, x1=1.46068, y=6.28306
x0=6.54245, x1=8.76587, y=251.36251
x0=0.50702, x1=-3.41259, y=2.95233
x0=-7.91884, x1=0.98473, y=-3.83943
x0=1.19672, x1=7.41306, y=32.88204
x0=-9.71547, x1=2.21420, y=-23.81584
x0=9.97775, x1=0.96090, y=4.60639
x0=8.11913, x1=-6.65918, y=180.02038
x0=-0.78305, x1=-8.18692, y=-26.24214
x0=1.48707, x1=3.90539, y=11.34044
x0=2.78752, x1=8.04489, y=90.20435
x0=-4.43858, x1=-6.63736, y=-97.76969
x0=-8.67958, x1=-3.17396, y=-43.71916
x0=-6.62225, x1=-6.06286, y=-121.71118
x0=2.83573, x1=9.16137, y=119.00242
x0=-6.18023, x1=8.85593, y=-242.34997
x0=4.40678, x1=3.38635, y=25.26712
x0=8.75573, x1=-2.45638, y=26.41520
x0=-3.95119, x1=-7.77946, y=-119.56307
x0=-5.88157, x1=9.12170, y=-244.68941
x0=6.21171, x1=-2.08878, y=13.55092
x0=-1.26937, x1=-6.19769, y=-24.37919
x0=-7.01044, x1=4.98975, y=-87.27163
x0=-9.48971, x1=-0.36563, y=-0.63431
x0=-5.56380, x1=-2.77826, y=-21.47265
x0=-6.50177, x1=-1.37529, y=-6.14880
x0=5.68406, x1=1.93437, y=10.63425
x0=7.56668, x1=4.74404, y=85.14739
x0=-9.67440, x1=7.32492, y=-259.53762
x0=0.30451, x1=-1.64105, y=0.41003
x0=8.86378, x1=-4.81095, y=102.57738
x0=-2.81163, x1=-0.51232, y=-0.36899
x0=-3.85416, x1=4.47739, y=-38.63226
x0=0.15449, x1=-8.16379, y=5.14820
x0=0.27330, x1=5.11423, y=3.57407
x0=2.56392, x1=0.00350, y=0.00002
x0=4.62873, x1=-0.26186, y=0.15869
x0=5.59703, x1=3.52302, y=34.73422
x0=8.19215, x1=9.41548, y=363.12218
x0=0.35253, x1=7.16775, y=9.05583
x0=-6.04994, x1=-1.83362, y=-10.17050
x0=-4.07919, x1=9.75838, y=-194.22240
x0=-4.33653, x1=-4.77667, y=-49.47239
x0=-9.00059, x1=-0.05776, y=-0.01501
x0=-1.54231, x1=8.48788, y=-55.55718
x0=-9.41943, x1=-9.33660, y=-410.55558
x0=-2.77785, x1=-5.10079, y=-36.13716
x0=-4.70175, x1=-1.17043, y=-3.22045
x0=6.00949, x1=8.74783, y=229.93662
x0=-3.82983, x1=2.52905, y=-12.24794
x0=-4.24159, x1=-8.22905, y=-143.61460

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=-9.46886, x1=-1.77698, y=-14.94980
x0=-3.79797, x1=4.80980, y=-43.93145
x0=3.13729, x1=-4.26243, y=28.49966
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=6.13443, x1=-8.20877, y=0.10297
x0=7.16711, x1=-2.01540, y=-0.66514
x0=7.60105, x1=-0.46465, y=1.73107
x0=2.08872, x1=-9.34291, y=-1.73187
x0=1.74688, x1=-7.53529, y=0.61696
x0=5.70874, x1=9.47307, y=1.08547
x0=8.68876, x1=-7.51705, y=0.44388
x0=-3.01275, x1=-2.92629, y=0.25104
x0=0.45919, x1=-5.94593, y=0.83651
x0=-7.66158, x1=5.39995, y=-1.24589
x0=-2.17652, x1=-8.04251, y=0.30814
x0=9.52964, x1=-2.22427, y=0.12726
x0=-8.88221, x1=-5.42464, y=-0.67489
x0=2.59192, x1=-3.07962, y=-1.04281
x0=3.07885, x1=-1.30487, y=0.03296
x0=-8.21725, x1=-8.08794, y=0.43339
x0=2.60587, x1=4.89121, y=0.18159
x0=-2.71674, x1=2.61923, y=0.71443
x0=-9.69808, x1=-8.09087, y=-0.12668
x0=5.92311, x1=-6.28035, y=-0.70469
x0=-8.93391, x1=-4.05152, y=0.57869
x0=8.62068, x1=6.98421, y=1.10074
x0=-8.62095, x1=6.04838, y=-1.40052
x0=1.92340, x1=2.62489, y=-1.63193
x0=-5.50635, x1=7.88923, y=-0.04941
x0=0.68778, x1=-1.18988, y=0.47202
x0=-4.68939, x1=-0.43098, y=1.81664
x0=-4.24679, x1=-1.76303, y=-0.34144
x0=-4.00057, x1=-0.99079, y=0.82991
x0=-3.05172, x1=9.26707, y=0.17727
x0=-3.30744, x1=-6.92511, y=0.26446
x0=-6.04355, x1=0.54406, y=0.40615
x0=2.74173, x1=4.99593, y=0.21781
x0=-2.00728, x1=2.40742, y=1.34557
x0=6.16295, x1=-1.52434, y=-0.01114
x0=-3.38791, x1=2.37546, y=-0.35142
x0=6.94312, x1=0.56439, y=1.03597
x0=1.55802, x1=7.92497, y=-0.14185
x0=-8.89167, x1=4.18630, y=0.51040
x0=0.34606, x1=8.53789, y=-0.42862
x0=-8.85090, x1=4.19639, y=0.53573
x0=-8.61517, x1=9.08257, y=1.36407
x0=-3.20997, x1=-3.84304, y=-0.10439
x0=-7.68077, x1=-7.51630, y=-0.65268
x0=-7.29224, x1=-7.60435, y=-0.41816
x0=9.83456, x1=-5.97934, y=-0.76032
x0=3.28326, x1=9.53958, y=0.28052
x0=-3.07368, x1=3.55418, y=0.12433
x0=-1.48793, x1=-0.80990, y=-1.37441
x0=-3.61143, x1=-8.20339, y=-0.30998
x0=7.24508, x1=-1.07641, y=0.77843
x0=2.12086, x1=-8.89010, y=-1.46702
x0=-7.47700, x1=0.85763, y=-1.21658
x0=5.42847, x1=8.05311, y=0.29846
x0=2.67762, x1=-7.65422, y=0.17760
x0=-6.56970, x1=-4.59355, y=0.06701
x0=-6.86238, x1=6.28562, y=-1.09469
x0=6.20542, x1=2.37850, y=0.11229
x0=5.50801, x1=-3.14523, y=1.39967
x0=4.86461, x1=-4.54028, y=0.33857
x0=-0.84573, x1=-4.46581, y=0.36537
x0=-1.92553, x1=-3.18055, y=1.87406
x0=-4.95347, x1=0.17069, y=1.91394
x0=-2.19981, x1=-7.89014, y=0.05846
x0=8.67576, x1=-8.77849, y=-1.08719
x0=-1.90172, x1=-3.64628, y=1.65566
x0=-1.59200, x1=2.42030, y=1.50157
x0=-6.16531, x1=8.68379, y=-0.17353
x0=0.97085, x1=-2.84416, y=-1.57825
x0=5.14002, x1=8.25418, y=0.70904
x0=-9.50042, x1=6.18561, y=0.15043
x0=0.24771, x1=2.82091, y=-0.46536
x0=-6.61545, x1=-7.11302, y=-0.44035
x0=-2.74358, x1=-6.67337, y=-0.71691
x0=-5.65793, x1=-1.30958, y=0.30232
x0=2.13289, x1=-0.51881, y=1.46959
x0=-3.88855, x1=2.03387, y=-0.60698
x0=1.62861, x1=-1.83952, y=-0.53011
x0=-6.86117, x1=-9.99469, y=0.91997
x0=-2.67250, x1=-7.85596, y=0.00179
x0=5.66131, x1=0.40440, y=-1.07114
x0=-0.11810, x1=5.03843, y=-0.07548
x0=9.09763, x1=-0.51306, y=0.55994
x0=-9.19407, x1=6.81556, y=-0.39404
x0=-8.93234, x1=-9.90982, y=0.83649
x0=-9.81359, x1=7.04246, y=0.54994
x0=-6.79665, x1=-7.51393, y=-0.32767
x0=8.17088, x1=1.52295, y=0.09089
x0=-5.35879, x1=-3.99220, y=-1.05294
x0=-3.20397, x1=1.09343, y=0.05728
x0=-1.36254, x1=5.06649, y=-0.67852
x0=-6.58663, x1=-8.98532, y=0.54083
x0=-1.21017, x1=-6.46421, y=-1.84077
x0=-5.89833, x1=-6.40988, y=0.74484
x0=-0.65666, x1=1.45495, y=-0.14113
x0=2.29399, x1=-8.00935, y=-0.23202
x0=4.60084, x1=2.73968, y=1.82919
x0=8.54763, x1=1.76014, y=-0.28945
x0=-8.60827, x1=4.89371, y=-0.26284
x0=6.41341, x1=1.87605, y=-0.07806
x0=-3.26817, x1=7.77262, y=0.02052
x0=6.54667, x1=-5.11950, y=0.20625
x0=3.31938, x1=-4.65128, y=0.02160
x0=4.54258, x1=8.61631, y=1.36134
x0=-7.98585, x1=7.94939, y=0.18887
x0=0.24090, x1=-7.88714, y=-0.01582
x0=7.58999, x1=2.75328, y=-1.78697
x0=-5.88544, x1=8.28410, y=-0.32303
x0=5.44080, x1=-8.10785, y=0.37483
x0=-3.30280, x1=-5.29974, y=0.17790
x0=-9.20251, x1=4.51250, y=0.08754
x0=-9.65924, x1=8.37412, y=-0.23093
x0=-7.36542, x1=3.00269, y=1.74901
x0=1.01568, x1=-7.31837, y=0.86746
x0=6.84731, x1=5.95980, y=1.01392
x0=-9.04034, x1=-4.52040, y=0.14312
x0=1.12467, x1=-5.19642, y=0.83960
x0=-7.62612, x1=-4.06675, y=1.17231

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=8.19481, x1=-2.01361, y=-0.80768
x0=-6.60478, x1=0.46785, y=-0.56422
x0=0.12058, x1=8.68212, y=-0.17723
x0=-8.48886, x1=-0.35280, y=-1.51110
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=8.23479, x1=5.37892, y=0.19119
x0=-8.09917, x1=0.48040, y=0.39394
x0=5.80062, x1=-1.02742, y=0.57679
x0=-9.65220, x1=4.72947, y=0.67203
x0=9.36002, x1=-6.39251, y=-0.99380
x0=7.34339, x1=-4.69372, y=0.70034
x0=8.09989, x1=3.40979, y=0.05409
x0=-7.27708, x1=-3.06368, y=0.03882
x0=-0.06176, x1=7.68067, y=0.07083
x0=-2.86401, x1=-2.51114, y=0.28354
x0=9.40302, x1=5.35249, y=-0.89319
x0=3.03682, x1=7.92493, y=0.67318
x0=-6.39887, x1=6.10872, y=-0.17199
x0=-3.08839, x1=-4.15043, y=-0.48176
x0=-7.42048, x1=0.58782, y=0.94839
x0=1.42904, x1=3.66464, y=-0.21729
x0=7.42979, x1=8.75216, y=0.32635
x0=2.71931, x1=-3.55860, y=0.16684
x0=8.74296, x1=-1.06687, y=0.44865
x0=-0.38492, x1=8.26761, y=0.29848
x0=7.57248, x1=0.44674, y=-0.91156
x0=-1.67574, x1=0.49564, y=-0.56957
x0=-9.70943, x1=5.58344, y=0.85507
x0=-8.61369, x1=-4.97044, y=0.27475
x0=-4.13136, x1=-9.12783, y=-0.01273
x0=5.91752, x1=9.41695, y=-0.00204
x0=7.61650, x1=-4.29633, y=0.49632
x0=1.91037, x1=7.18934, y=-0.24504
x0=-6.21954, x1=-8.54697, y=0.04050
x0=1.98671, x1=-2.62803, y=0.04084
x0=-1.03187, x1=6.51841, y=0.99283
x0=-5.74660, x1=-0.39285, y=-0.70688
x0=3.77452, x1=9.88697, y=-0.13334
x0=1.16220, x1=8.11375, y=-0.60052
x0=6.31360, x1=-3.26607, y=0.00284
x0=-7.43577, x1=7.63565, y=-0.77021
x0=4.77615, x1=-6.65299, y=-0.75825
x0=-5.58834, x1=7.11061, y=0.79070
x0=-3.69796, x1=3.34369, y=-0.06774
x0=-6.26575, x1=-0.91011, y=-0.02349
x0=0.18445, x1=0.28500, y=0.27039
x0=8.62438, x1=2.79993, y=0.06151
x0=-8.10874, x1=1.55186, y=0.28009
x0=2.02643, x1=-0.16078, y=0.10144
x0=7.55066, x1=-7.44153, y=0.79164
x0=-1.01965, x1=-4.19591, y=0.50265
x0=-6.18010, x1=-8.18845, y=0.08925
x0=1.95610, x1=-5.69343, y=-0.19707
x0=-7.79323, x1=9.78327, y=0.13702
x0=3.63190, x1=-4.85863, y=0.56124
x0=-2.13027, x1=7.94460, y=-0.03627
x0=9.09257, x1=-5.64479, y=-0.83402
x0=9.17595, x1=-6.52973, y=-0.92409
x0=-0.56686, x1=-3.48771, y=0.12940
x0=5.02144, x1=-1.22572, y=0.77601
x0=0.76427, x1=3.65420, y=-0.23102
x0=-2.89067, x1=-3.75318, y=-0.27998
x0=-3.39550, x1=-9.44058, y=0.00734
x0=8.40812, x1=-2.07612, y=0.02326
x0=-6.44059, x1=-2.99123, y=0.01757
x0=-6.89589, x1=4.66275, y=-0.54805
x0=-3.67772, x1=6.88687, y=-0.66233
x0=-6.33112, x1=-2.93529, y=0.00740
x0=-8.09570, x1=-9.53980, y=0.02358
x0=1.44313, x1=0.30615, y=0.81907
x0=-7.99208, x1=4.28097, y=-0.29480
x0=3.45153, x1=4.11519, y=0.41815
x0=4.27979, x1=-0.73061, y=0.12709
x0=0.90349, x1=-3.34314, y=-0.09828
x0=2.19984, x1=4.37133, y=0.09086
x0=3.48672, x1=-5.09631, y=0.72039
x0=8.50991, x1=-8.75992, y=-0.06435
x0=9.13816, x1=-7.86067, y=-0.64060
x0=-3.31576, x1=-6.77892, y=-0.93654
x0=-0.13256, x1=-3.11634, y=-0.00249
x0=-2.73908, x1=-0.53489, y=0.79394
x0=-4.51621, x1=-9.66438, y=-0.05637
x0=-8.69092, x1=-0.52337, y=-0.43748
x0=-6.61962, x1=8.35112, y=-0.24727
x0=-5.41502, x1=-9.82617, y=-0.19221
x0=7.36039, x1=-1.49678, y=-0.73204
x0=-1.49874, x1=-4.94019, y=0.61008
x0=7.50647, x1=-1.75984, y=-0.61511
x0=4.40080, x1=-7.25774, y=-0.27629
x0=-6.21590, x1=-1.34598, y=-0.07878
x0=1.24227, x1=7.89600, y=-0.66268
x0=1.80488, x1=-5.78661, y=-0.40785
x0=0.88317, x1=7.60375, y=-0.76603
x0=4.26705, x1=8.82614, y=-0.03454
x0=-2.92401, x1=3.58341, y=-0.20755
x0=-6.01883, x1=-2.73743, y=-0.07752
x0=9.75365, x1=-0.14215, y=0.87855
x0=3.57280, x1=1.08593, y=-0.68324
x0=-6.96068, x1=-6.01835, y=-0.84269

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=-9.52177, x1=-9.61597, y=-0.09444
x0=-8.86229, x1=-0.04028, y=-0.66455
x0=9.78103, x1=-7.11622, y=-0.78701
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=-6.47611, x1=-9.90847, y=2089.56468
x0=7.51521, x1=-4.11219, y=2777.92369
x0=-1.69031, x1=3.55076, y=15.74592
x0=-7.79687, x1=7.07326, y=4187.49170
x0=1.32204, x1=3.39877, y=3.12117
x0=-7.29940, x1=4.36829, y=3232.97639
x0=2.45849, x1=9.69690, y=58.99045
x0=7.07612, x1=-7.42078, y=2187.79610
x0=-8.66438, x1=5.90869, y=6297.72767
x0=-2.35165, x1=0.50948, y=43.20960
x0=-9.23838, x1=7.15518, y=8091.14751
x0=-2.70063, x1=-0.45774, y=73.45264
x0=-6.19352, x1=-4.43500, y=1723.31233
x0=-0.70480, x1=-8.14080, y=41.87396
x0=1.70267, x1=6.46796, y=17.91785
x0=-7.85261, x1=-0.41624, y=4287.10959
x0=0.34563, x1=-7.30488, y=33.95853
x0=-7.79545, x1=-8.62023, y=4212.36931
x0=-7.92038, x1=-0.07039, y=4432.29331
x0=-5.73617, x1=-2.69515, y=1277.71667
x0=-3.94441, x1=3.84374, y=306.97384
x0=-8.92026, x1=1.94589, y=7041.28012
x0=1.94340, x1=-7.46417, y=42.24546
x0=-5.57321, x1=6.04744, y=1150.11056
x0=7.71409, x1=7.16239, y=3100.54483
x0=-3.40166, x1=-1.25041, y=175.28849
x0=-1.84095, x1=2.50681, y=18.36027
x0=-6.53823, x1=6.85759, y=2123.59040
x0=5.05560, x1=1.32104, y=523.60176
x0=-8.33517, x1=3.70864, y=5409.03514
x0=-0.04094, x1=6.31430, y=13.62094
x0=-4.22075, x1=4.59125, y=398.50314
x0=9.92039, x1=-6.45949, y=8736.34055
x0=-1.09991, x1=-8.16690, y=44.31032
x0=6.72734, x1=-1.46582, y=1746.28340
x0=6.30990, x1=-4.03684, y=1346.17595
x0=4.22199, x1=-0.27916, y=242.79816
x0=-1.13717, x1=8.27269, y=29.08882
x0=9.84653, x1=-7.03085, y=8477.18324
x0=5.72432, x1=-4.48925, y=900.72326
x0=8.69101, x1=-3.82763, y=5060.02160
x0=-9.05173, x1=-7.74228, y=7492.49413
x0=-2.25560, x1=-5.62888, y=58.83178
x0=1.94524, x1=2.26950, y=7.26354
x0=-0.37679, x1=-1.09600, y=1.77024
x0=-7.51579, x1=8.70658, y=3644.53876
x0=-9.87619, x1=9.14829, y=10509.88654
x0=-3.98882, x1=-6.63185, y=345.23792
x0=-6.08124, x1=9.23215, y=1625.90904
x0=4.35148, x1=-3.93634, y=287.83590
x0=-9.77448, x1=-4.26018, y=10075.18424
x0=-7.76508, x1=8.95373, y=4134.99881
x0=6.59647, x1=-5.76594, y=1628.77634
x0=-0.90159, x1=0.03941, y=1.35496
x0=-1.40031, x1=9.42458, y=41.57761
x0=7.98452, x1=2.84941, y=3556.57154
x0=-0.73247, x1=-9.55038, y=55.83606
x0=1.20000, x1=2.68763, y=1.26964
x0=9.93340, x1=-4.76297, y=8772.18980
x0=-5.78547, x1=-5.59022, y=1335.21497
x0=-3.43843, x1=5.19785, y=188.74145
x0=6.98245, x1=-7.85097, y=2075.25748
x0=6.62606, x1=-5.79623, y=1659.29835
x0=-1.27952, x1=0.26929, y=4.54213
x0=-1.91269, x1=-5.12069, y=38.61247
x0=-8.36117, x1=5.74926, y=5482.58800
x0=1.48154, x1=7.14178, y=19.92668
x0=-8.25548, x1=2.28620, y=5207.77670
x0=6.92391, x1=-1.27148, y=1968.44165
x0=2.01942, x1=-1.07290, y=10.04372
x0=9.15061, x1=-2.85314, y=6252.03251
x0=9.91960, x1=0.13020, y=8706.06086
x0=8.69045, x1=0.47201, y=5047.16417
x0=2.56482, x1=-0.43049, y=26.92513
x0=-1.25364, x1=-0.43150, y=4.96484
x0=-6.07746, x1=7.73636, y=1610.89907
x0=6.95219, x1=-6.73735, y=2029.48857
x0=-8.66840, x1=-6.84446, y=6327.82599
x0=9.65721, x1=-7.91115, y=7836.29302
x0=6.43636, x1=-3.63812, y=1459.78925
x0=8.87231, x1=0.25851, y=5497.86265
x0=-6.07985, x1=9.46746, y=1626.46757
x0=-9.37883, x1=-4.52710, y=8577.15161
x0=8.63556, x1=-9.57505, y=4972.56379
x0=-6.93926, x1=0.07983, y=2652.81382
x0=-7.51459, x1=-8.10762, y=3654.07427
x0=4.32974, x1=-1.65027, y=273.28032
x0=4.42150, x1=-1.91234, y=299.49013
x0=-5.75433, x1=-2.79318, y=1293.66100
x0=-4.03360, x1=5.77389, y=341.23052
x0=8.46152, x1=-2.28393, y=4525.25344
x0=-0.15928, x1=2.65782, y=0.87886
x0=-6.75290, x1=5.98200, y=2399.37095
x0=-3.41306, x1=5.02563, y=183.05945
x0=3.59842, x1=4.75415, y=127.61910
x0=1.72282, x1=-1.54406, y=6.43224
x0=-0.36990, x1=6.14483, y=12.80398
x0=-1.06301, x1=-8.05119, y=42.94007
x0=-9.79977, x1=-5.74264, y=10186.19208
x0=-3.41768, x1=3.02686, y=177.91019
x0=-8.02794, x1=-4.39402, y=4684.94227
x0=9.07735, x1=3.35339, y=6043.79274
x0=-3.29029, x1=-0.57076, y=153.55733
x0=-2.00295, x1=1.13316, y=23.63897
x0=2.17491, x1=-5.17317, y=30.64132
x0=-0.65762, x1=-0.92028, y=1.81516
x0=-1.48333, x1=1.51830, y=7.73924
x0=-9.79270, x1=5.09691, y=10143.22678
x0=-4.98575, x1=-4.59566, y=756.99361
x0=-3.23982, x1=8.35940, y=170.76222
x0=-7.73385, x1=7.22192, y=4058.96374
x0=-0.64853, x1=-3.30062, y=9.19734
x0=2.50867, x1=-9.18617, y=75.19813
x0=-4.14739, x1=9.01661, y=398.84048
x0=1.96895, x1=1.28305, y=6.93623
x0=8.44959, x1=-7.87018, y=4532.90945
x0=-4.79615, x1=2.40793, y=639.95893
x0=0.88792, x1=6.80044, y=16.24406
x0=8.21754, x1=4.18087, y=4009.66267
x0=-5.76289, x1=-6.54498, y=1322.32006
x0=-9.66844, x1=-9.50061, y=9696.71218
x0=-1.57790, x1=5.07874, y=17.94571
x0=0.89162, x1=1.90552, y=-0.16684
x0=-0.05632, x1=9.05692, y=31.95717
x0=-3.42688, x1=-8.74683, y=225.15329
x0=-4.89356, x1=8.98935, y=722.05788
x0=-7.74684, x1=6.78677, y=4082.77272
x0=5.58837, x1=-4.62236, y=816.08690
x0=-4.60646, x1=3.23823, y=550.01684

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=3.72653, x1=0.04650, y=141.05336
x0=-7.32383, x1=-4.22115, y=3283.06111
x0=5.59191, x1=1.97259, y=802.89592
x0=6.98139, x1=5.00317, y=2042.80492
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=5.24824, x1=6.76790, y=74642.04304
x0=8.05157, x1=-3.61581, y=0.00053
x0=1.76634, x1=-1.53313, y=0.41802
x0=7.38880, x1=-7.16803, y=0.00000
x0=4.96571, x1=4.63837, y=1691.28692
x0=4.36945, x1=-8.22565, y=0.00001
x0=3.99550, x1=-0.19817, y=0.75996
x0=5.15012, x1=-3.66418, y=0.00246
x0=9.24139, x1=-1.41948, y=0.04258
x0=3.49118, x1=8.02523, y=22775.89750
x0=8.75366, x1=4.04016, y=6406.16338
x0=3.86372, x1=-3.19626, y=0.01330
x0=6.38234, x1=-5.72481, y=0.00002
x0=7.36007, x1=-8.40874, y=0.00000
x0=0.47342, x1=3.02584, y=0.10408
x0=3.31653, x1=-5.66949, y=0.00112
x0=6.29127, x1=-0.62779, y=0.31518
x0=8.65799, x1=-9.33998, y=0.00000
x0=5.37367, x1=5.96566, y=22727.29727
x0=2.73929, x1=1.93246, y=7.01001
x0=8.56920, x1=-3.42545, y=0.00064
x0=1.85222, x1=1.61319, y=2.70295
x0=6.20563, x1=7.33960, y=658769.07630
x0=3.77672, x1=-1.45170, y=0.14528
x0=5.21570, x1=-4.05797, y=0.00123
x0=7.65242, x1=-2.30378, y=0.00920
x0=8.54492, x1=-3.78740, y=0.00030
x0=8.33844, x1=-4.62768, y=0.00005
x0=9.72989, x1=-9.76690, y=0.00000
x0=0.58895, x1=3.94628, y=0.12379
x0=5.91908, x1=-0.64841, y=0.31569
x0=2.78288, x1=8.36005, y=5199.91805
x0=1.43150, x1=3.43953, y=3.43435
x0=8.18542, x1=5.65265, y=144911.72449
x0=3.97835, x1=8.31448, y=96875.44297
x0=7.75180, x1=1.93516, y=52.61850
x0=2.84961, x1=-4.32933, y=0.01074
x0=1.25028, x1=-7.63602, y=0.18166
x0=1.22415, x1=-8.13875, y=0.19281
x0=8.63453, x1=-2.36782, y=0.00607
x0=4.65889, x1=1.00016, y=4.66002
x0=4.43377, x1=-1.36392, y=0.13118
x0=4.63676, x1=2.34844, y=36.69124
x0=3.16970, x1=8.57620, y=19807.80055
x0=4.97960, x1=5.86426, y=12260.99085
x0=7.56560, x1=1.79986, y=38.17674
x0=0.04417, x1=1.53306, y=0.00837
x0=0.37066, x1=-0.23018, y=1.25666
x0=3.16943, x1=8.47607, y=17633.87479
x0=4.34848, x1=7.25493, y=42765.81144
x0=2.13409, x1=9.63018, y=1480.43138
x0=3.31810, x1=-7.49449, y=0.00012
x0=4.43624, x1=8.14399, y=185900.46925
x0=3.27326, x1=1.14327, y=3.87935
x0=9.81684, x1=4.49684, y=28889.24717
x0=3.05466, x1=5.83044, y=672.26967
x0=5.95838, x1=-8.41389, y=0.00000
x0=0.27586, x1=3.72484, y=0.00825
x0=9.19037, x1=9.93352, y=3709290928.76675
x0=6.53937, x1=5.29582, y=20841.64045
x0=4.28698, x1=-1.59729, y=0.09779
x0=2.85948, x1=-0.75070, y=0.45443
x0=9.80547, x1=-0.90416, y=0.12693
x0=6.33046, x1=3.48969, y=626.26672
x0=8.78379, x1=1.04370, y=9.65883
x0=1.43706, x1=1.36135, y=1.63825
x0=0.12312, x1=-9.23446, y=251439022.85022
x0=9.70134, x1=0.35305, y=2.23051
x0=8.83584, x1=-1.18160, y=0.07619
x0=8.43812, x1=-6.83963, y=0.00000
x0=5.43055, x1=5.67655, y=14838.03826
x0=3.93109, x1=8.83907, y=179861.77160
x0=7.85897, x1=-0.23231, y=0.61944
x0=6.07359, x1=2.76966, y=147.86988
x0=6.25065, x1=9.95469, y=83789442.75059
x0=8.24020, x1=-9.06087, y=0.00000
x0=1.67835, x1=7.40257, y=46.20733
x0=2.39831, x1=5.12438, y=88.46702
x0=4.90371, x1=8.03013, y=350754.00462
x0=9.93888, x1=0.15254, y=1.41949
x0=5.09759, x1=-1.23656, y=0.13344
x0=6.27435, x1=2.17658, y=54.44697
x0=3.46439, x1=9.42754, y=122280.01440
x0=2.45680, x1=9.66069, y=5905.26372
x0=4.83446, x1=-3.16286, y=0.00685
x0=5.74667, x1=4.03039, y=1150.12209

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=3.12625, x1=-7.27368, y=0.00025
x0=0.79447, x1=-6.62826, y=4.59523
x0=0.18131, x1=9.67706, y=0.00000
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=5.55168, x1=6.61954, y=84673.16145
x0=6.02935, x1=0.71276, y=3.59872
x0=5.37765, x1=5.74023, y=15623.10109
x0=7.30572, x1=-4.53100, y=0.00012
x0=3.62588, x1=-4.64968, y=0.00251
x0=2.68389, x1=-3.06844, y=0.04835
x0=5.31111, x1=-3.29072, y=0.00411
x0=3.01348, x1=-7.76161, y=0.00019
x0=0.78375, x1=-5.24338, y=3.58818
x0=2.44422, x1=-6.18044, y=0.00399
x0=8.63627, x1=3.75709, y=3295.02774
x0=4.44190, x1=7.80645, y=113558.51792
x0=4.28795, x1=2.72915, y=53.15041
x0=9.88730, x1=9.11416, y=1173007110.39655
x0=7.55939, x1=-0.39880, y=0.44633
x0=5.90607, x1=-6.68360, y=0.00001
x0=2.99317, x1=-7.12051, y=0.00041
x0=3.29119, x1=5.76346, y=958.84419
x0=2.21789, x1=-6.78332, y=0.00450
x0=8.69859, x1=0.71748, y=4.72100
x0=9.61423, x1=9.22850, y=1177146664.06818
x0=3.21363, x1=3.10039, y=37.31523
x0=1.61327, x1=6.74390, y=25.16221
x0=5.42225, x1=-1.01519, y=0.17975
x0=4.59512, x1=-9.76969, y=0.00000
x0=6.02629, x1=-4.49018, y=0.00031
x0=4.06129, x1=1.23796, y=5.66893
x0=7.30228, x1=4.26983, y=4862.03037
x0=4.41755, x1=2.72714, y=57.47831
x0=4.73794, x1=-1.40753, y=0.11197
x0=0.03800, x1=-3.13296, y=28142.80766
x0=5.85099, x1=-5.85412, y=0.00003
x0=6.90109, x1=-1.96318, y=0.02255
x0=9.61781, x1=-4.41308, y=0.00005
x0=0.03447, x1=4.13953, y=0.00000
x0=8.39423, x1=-6.64947, y=0.00000
x0=7.11032, x1=7.15286, y=1240079.54277
x0=1.23424, x1=-7.76417, y=0.19514
x0=7.00412, x1=-0.00602, y=0.98834
x0=0.60783, x1=1.88695, y=0.39084
x0=5.77775, x1=-7.87105, y=0.00000
x0=6.93868, x1=-9.90942, y=0.00000
x0=1.97971, x1=-7.30920, y=0.00679
x0=9.50276, x1=9.38329, y=1497777284.65892
x0=1.24477, x1=5.90279, y=3.64159
x0=8.10289, x1=5.22851, y=56342.14707
x0=4.56290, x1=-4.76885, y=0.00072
x0=6.49055, x1=-8.68199, y=0.00000
x0=0.39248, x1=6.31540, y=0.00272
x0=3.65812, x1=5.86645, y=2015.23860
x0=4.04240, x1=8.93007, y=261416.96963
x0=8.66396, x1=-8.62243, y=0.00000
x0=4.53694, x1=-5.37947, y=0.00029
x0=4.33204, x1=-2.94558, y=0.01332
x0=4.20770, x1=-7.52287, y=0.00002
x0=8.50151, x1=-8.91860, y=0.00000
x0=4.04509, x1=-7.98707, y=0.00001
x0=0.78500, x1=-3.31298, y=2.22990
x0=2.14474, x1=8.67430, y=748.93176
x0=8.25484, x1=8.39922, y=50076782.36985
x0=3.22887, x1=6.05844, y=1213.53177
x0=4.33382, x1=1.13794, y=5.30546
x0=1.84753, x1=5.16757, y=23.85796
x0=1.19693, x1=-6.09835, y=0.33413
x0=9.08091, x1=-7.37201, y=0.00000
x0=5.81922, x1=-4.72038, y=0.00025
x0=9.90108, x1=-7.21843, y=0.00000
x0=8.03871, x1=-7.98503, y=0.00000
x0=2.33933, x1=-2.52205, y=0.11726
x0=5.69547, x1=-1.43133, y=0.08291
x0=5.05718, x1=3.18426, y=174.35124
x0=4.41798, x1=-6.58525, y=0.00006
x0=3.05111, x1=-2.57142, y=0.05679
x0=1.18627, x1=6.49746, y=3.03385
x0=3.50705, x1=-3.44457, y=0.01327
x0=4.43756, x1=-2.21774, y=0.03671
x0=5.92384, x1=9.88403, y=43295061.94226
x0=2.60693, x1=7.18250, y=974.64646
x0=4.77832, x1=-4.67879, y=0.00066
x0=3.36931, x1=6.30809, y=2127.04909

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=1.78514, x1=-5.76383, y=0.03543
x0=3.54934, x1=9.82757, y=255043.21457
x0=5.22512, x1=6.42478, y=41077.96000
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=1.72381, y=-0.77580
x0=-1.57633, y=-0.75338
x0=8.38868, y=-1.23439
x0=-1.33859, y=-0.52548
x0=-2.85634, y=-1.66539
x0=-2.49833, y=-0.71677
x0=-9.36531, y=-0.49770
x0=4.55896, y=-0.89283
x0=2.68672, y=-1.47292
x0=-3.19481, y=-0.04630
x0=0.34865, y=-0.63604
x0=-0.40670, y=-0.59878
x0=-8.36281, y=-1.10671
x0=-3.67084, y=-1.43081
x0=2.59639, y=-1.12809
x0=4.29944, y=-0.60698
x0=-9.33735, y=-0.05044
x0=-3.04285, y=-0.91430
x0=1.96241, y=-0.50137
x0=6.17329, y=-0.35339
x0=-9.77881, y=-1.67049
x0=7.11195, y=-0.54109
x0=-6.35074, y=-0.26401
x0=-2.64706, y=-1.33285
x0=-7.24676, y=-0.30607
x0=2.00194, y=-0.43161
x0=-0.69986, y=-0.39014
x0=0.83120, y=-0.32052
x0=-8.54747, y=-0.29032
x0=-1.34456, y=-0.53196
x0=0.26297, y=-0.68328
x0=2.52342, y=-0.81877
x0=9.65944, y=0.03711
x0=3.54643, y=-0.75989
x0=-7.81492, y=-0.78837
x0=-7.02280, y=-1.34906
x0=7.22422, y=-0.19736
x0=-9.78237, y=-1.67957
x0=6.46720, y=-1.56862
x0=-4.49620, y=-0.96004
x0=-3.18906, y=-0.07254
x0=-1.59111, y=-0.76164
x0=3.28506, y=0.21921
x0=4.01124, y=-0.50946
x0=-9.35070, y=-0.24678
x0=-8.58761, y=-0.08259
x0=-4.41836, y=-0.93050
x0=9.35654, y=-0.34341
x0=-1.47529, y=-0.67160
x0=-6.84889, y=-0.56862
x0=2.82134, y=-1.69383
x0=8.30634, y=-0.69775
x0=-0.46462, y=-0.55851
x0=2.27145, y=-0.16866
x0=4.03073, y=-0.42670
x0=5.13915, y=-0.35367
x0=-4.39267, y=-0.88557
x0=-4.64747, y=-0.77479
x0=5.03364, y=-0.68578
x0=-1.60009, y=-0.76608
x0=-4.01330, y=-0.50024
x0=8.46427, y=-1.07961
x0=6.70403, y=-0.00142
x0=-5.01774, y=-0.73648
x0=-9.41943, y=-1.43972
x0=9.59512, y=0.05746
x0=5.54784, y=-1.19131
x0=-8.70463, y=-1.02353
x0=-2.13528, y=-0.22127
x0=-2.46667, y=-0.59587
x0=1.12065, y=-0.33630
x0=-2.14368, y=-0.21165
x0=-3.69362, y=-1.49953
x0=8.44940, y=-1.17659

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=9.21608, y=-0.63965
x0=3.48158, y=-0.34424
x0=7.99002, y=-0.86475
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=7.14676, x1=2.86888, y=1.02952
x0=3.98512, x1=-9.93357, y=-0.25987
x0=-7.60645, x1=4.11925, y=-1.79871
x0=-6.04113, x1=-8.86364, y=-0.29244
x0=8.47902, x1=9.63857, y=0.59877
x0=-2.22030, x1=0.18332, y=-0.61408
x0=8.59708, x1=-8.87877, y=0.21709
x0=8.68738, x1=-7.58217, y=-0.29092
x0=4.12104, x1=-3.91542, y=-0.13132
x0=-2.66371, x1=9.90099, y=-0.91832
x0=4.46361, x1=-5.15951, y=-0.06752
x0=-4.12251, x1=-7.69640, y=-0.15660
x0=7.71726, x1=9.13697, y=1.27452
x0=9.71065, x1=-2.23121, y=-1.07173
x0=4.44196, x1=-4.21267, y=-0.08594
x0=6.55298, x1=3.05509, y=0.35292
x0=7.20638, x1=-9.36913, y=0.74192
x0=9.76696, x1=-7.44645, y=-1.25364
x0=1.74210, x1=1.09217, y=1.87299
x0=4.22806, x1=-5.11997, y=0.03309
x0=9.41650, x1=2.49453, y=0.61112
x0=-8.03674, x1=9.96753, y=-1.49984
x0=-9.33559, x1=-6.71874, y=-0.51099
x0=-2.48262, x1=5.49085, y=-1.32430
x0=-0.00326, x1=1.95655, y=0.92325
x0=-7.30757, x1=5.92154, y=-1.20820
x0=2.03690, x1=4.25714, y=-0.00482
x0=-6.81319, x1=-6.15325, y=-0.37597
x0=4.57708, x1=-4.02478, y=-0.21809
x0=5.52939, x1=2.92630, y=-0.47078
x0=8.18651, x1=6.03215, y=0.69682
x0=4.42392, x1=-6.61508, y=-1.28451
x0=-3.14646, x1=-6.65311, y=-0.35668
x0=-6.19704, x1=-2.32938, y=-0.63978
x0=6.74355, x1=-5.66365, y=1.02493
x0=2.40977, x1=-8.63780, y=-0.03999
x0=-6.82154, x1=-7.81643, y=-1.51202
x0=4.72342, x1=4.82711, y=-1.99337
x0=5.98296, x1=9.72692, y=-0.59330
x0=6.52967, x1=-4.30078, y=1.16047
x0=-4.99086, x1=1.74989, y=1.94548
x0=4.17672, x1=1.74912, y=0.12421
x0=2.30536, x1=-1.48807, y=-0.25446
x0=6.07671, x1=5.30914, y=-1.03218
x0=-3.12560, x1=8.76353, y=0.59811
x0=1.83566, x1=0.59233, y=1.52343
x0=-2.31581, x1=7.87712, y=0.26466
x0=-5.68564, x1=5.68470, y=-0.00078
x0=-2.93368, x1=-0.61337, y=-0.78205
x0=2.76035, x1=5.15698, y=-0.53071
x0=-6.65170, x1=-4.86614, y=0.62797
x0=-8.80266, x1=5.31646, y=-1.40579
x0=6.11038, x1=7.94200, y=0.82418
x0=4.92606, x1=-8.66111, y=-1.66884
x0=3.07644, x1=7.13707, y=0.81895
x0=-1.96412, x1=4.44818, y=-1.88894
x0=-3.90294, x1=1.65600, y=1.68627
x0=-8.20140, x1=6.17950, y=-1.04375
x0=2.43842, x1=-9.66809, y=0.88756
x0=1.90981, x1=3.26422, y=0.82076
x0=6.25892, x1=-5.49284, y=0.68633
x0=-2.83365, x1=-3.68113, y=0.21064
x0=-4.56309, x1=0.63829, y=1.58470
x0=1.07997, x1=-8.65204, y=0.18385
x0=-3.09527, x1=-9.09257, y=-0.37244
x0=0.73045, x1=-9.60126, y=0.84277
x0=-0.59640, x1=-3.87201, y=0.10551
x0=-4.67943, x1=9.23593, y=1.18719
x0=4.94239, x1=1.25158, y=-0.02418
x0=-5.58323, x1=-2.16210, y=-0.18603
x0=2.63630, x1=4.24726, y=-0.40970
x0=1.26379, x1=-5.42119, y=1.71239
x0=-2.56906, x1=9.70929, y=-0.82246
x0=6.86881, x1=8.62532, y=1.26970
x0=-4.67138, x1=8.89582, y=1.50380
x0=0.11121, x1=4.74450, y=-0.88850

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=9.68137, x1=0.68242, y=0.37689
x0=-8.61033, x1=-2.91412, y=-0.95287
x0=-2.67561, x1=9.47333, y=-0.49783
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=6.51870, x1=-9.99051, y=-65.12517
x0=6.93440, x1=-8.65867, y=-60.04268
x0=5.23864, x1=-0.63720, y=-3.33808
x0=-5.09222, x1=-2.36915, y=12.06423
x0=-4.62950, x1=2.36154, y=-10.93276
x0=-4.96775, x1=-1.53136, y=7.60741
x0=2.46559, x1=-3.75909, y=-9.26840
x0=5.52167, x1=-5.30000, y=-29.26485
x0=-9.51173, x1=-3.87065, y=36.81659
x0=8.80945, x1=-7.73814, y=-68.16878
x0=-0.77552, x1=-0.71221, y=0.55234
x0=6.44521, x1=3.19535, y=20.59467
x0=2.07455, x1=8.96577, y=18.59993
x0=-6.53018, x1=7.60374, y=-49.65377
x0=-1.48158, x1=9.95246, y=-14.74539
x0=9.49025, x1=-8.73791, y=-82.92489
x0=-9.27548, x1=-5.56463, y=51.61460
x0=5.29884, x1=2.69606, y=14.28600
x0=8.46751, x1=-7.09255, y=-60.05619
x0=-0.75310, x1=-7.23090, y=5.44560
x0=-8.91109, x1=3.14807, y=-28.05272
x0=6.81579, x1=-4.69004, y=-31.96637
x0=-2.39901, x1=5.67783, y=-13.62115
x0=9.50312, x1=1.95292, y=18.55881
x0=-5.40745, x1=0.07099, y=-0.38386
x0=-5.66031, x1=3.03046, y=-17.15337
x0=8.53776, x1=-8.42375, y=-71.91995
x0=9.38993, x1=-8.99974, y=-84.50697
x0=-0.06544, x1=-0.66726, y=0.04366
x0=7.36328, x1=-4.29479, y=-31.62374
x0=-1.51951, x1=0.58467, y=-0.88841
x0=2.49319, x1=0.71982, y=1.79466
x0=5.78615, x1=8.87987, y=51.38027
x0=4.61607, x1=-6.08459, y=-28.08689
x0=1.94980, x1=1.28838, y=2.51208
x0=-1.29886, x1=-8.59224, y=11.16012
x0=0.87434, x1=0.54488, y=0.47641
x0=-1.80141, x1=-6.64884, y=11.97729
x0=6.23667, x1=8.29969, y=51.76244
x0=-7.35108, x1=4.75930, y=-34.98605
x0=6.54937, x1=-3.19095, y=-20.89871
x0=-1.07994, x1=3.95720, y=-4.27353
x0=-2.93002, x1=7.71855, y=-22.61547
x0=9.91885, x1=-0.11879, y=-1.17829
x0=2.07316, x1=-9.13189, y=-18.93185
x0=-7.57332, x1=-5.74665, y=43.52124
x0=-7.07322, x1=0.01068, y=-0.07554
x0=9.60178, x1=5.80922, y=55.77883
x0=-9.24150, x1=-2.76702, y=25.57137
x0=7.92859, x1=-9.43938, y=-74.84095
x0=-2.47176, x1=-5.30824, y=13.12069
x0=2.44461, x1=7.34603, y=17.95815
x0=-8.65812, x1=-7.21880, y=62.50126
x0=1.76348, x1=4.31141, y=7.60307
x0=8.46439, x1=6.95496, y=58.86951
x0=4.33110, x1=-0.13480, y=-0.58385
x0=-9.19670, x1=1.33766, y=-12.30205
x0=-8.67636, x1=9.22390, y=-80.02995
x0=-0.64177, x1=-4.47000, y=2.86869
x0=0.08529, x1=-4.06337, y=-0.34658
x0=-9.82902, x1=5.77254, y=-56.73840
x0=5.05799, x1=3.48616, y=17.63296
x0=4.49367, x1=-0.04196, y=-0.18857
x0=-2.79327, x1=1.16702, y=-3.25980
x0=0.73433, x1=8.20369, y=6.02424
x0=-1.24360, x1=-1.66333, y=2.06852
x0=-4.89900, x1=-0.07643, y=0.37443
x0=-4.09037, x1=8.66000, y=-35.42265
x0=-6.14785, x1=-9.69282, y=59.58999
x0=-1.70448, x1=2.63800, y=-4.49642
x0=-6.83673, x1=1.19216, y=-8.15050
x0=9.06510, x1=-3.72794, y=-33.79410
x0=9.99763, x1=-5.84889, y=-58.47501
x0=-3.73002, x1=3.56144, y=-13.28422
x0=9.44782, x1=-3.14574, y=-29.72035
x0=-6.15405, x1=8.85454, y=-54.49129

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=-9.49853, x1=-1.80616, y=17.15586
x0=-5.66525, x1=-8.24259, y=46.69630
x0=9.26469, x1=-3.48878, y=-32.32248
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=1.57393, x1=9.92334, y=90.10450
x0=7.67482, x1=8.98158, y=88984278.71489
x0=6.43131, x1=-2.54310, y=0.00880
x0=1.50216, x1=5.54581, y=9.55063
x0=7.64219, x1=-5.64790, y=0.00001
x0=0.26043, x1=-0.72855, y=2.66502
x0=3.05558, x1=-8.14506, y=0.00011
x0=9.29931, x1=-9.97932, y=0.00000
x0=6.21788, x1=-1.62038, y=0.05176
x0=0.83219, x1=6.42434, y=0.30724
x0=3.71560, x1=-8.15873, y=0.00002
x0=4.95296, x1=1.40679, y=9.49575
x0=4.13621, x1=7.58140, y=47283.51218
x0=8.05970, x1=-7.10820, y=0.00000
x0=8.09451, x1=8.55057, y=58284124.05853
x0=7.92782, x1=-6.83461, y=0.00000
x0=1.24356, x1=5.34091, y=3.20343
x0=7.69312, x1=7.29545, y=2914162.33022
x0=2.64168, x1=-2.70072, y=0.07255
x0=8.83868, x1=-8.03869, y=0.00000
x0=9.88578, x1=-6.86044, y=0.00000
x0=8.16143, x1=3.27641, y=971.22227
x0=0.69209, x1=7.13682, y=0.07232
x0=8.17579, x1=-0.96351, y=0.13206
x0=5.76747, x1=-5.24999, y=0.00010
x0=2.03490, x1=3.52316, y=12.21920
x0=1.66707, x1=-9.15644, y=0.00928
x0=5.91582, x1=0.50091, y=2.43617
x0=2.36196, x1=8.46111, y=1439.77970
x0=0.29306, x1=-1.47593, y=6.11978
x0=4.04286, x1=-8.30291, y=0.00001
x0=3.98601, x1=3.89161, y=217.29888
x0=0.44497, x1=2.28185, y=0.15760
x0=4.12456, x1=-2.89161, y=0.01662
x0=1.17564, x1=6.64373, y=2.93007
x0=4.63676, x1=2.34844, y=36.69124
x0=9.47843, x1=8.00117, y=65318463.16949
x0=0.23295, x1=-5.80736, y=4726.59378
x0=3.27124, x1=-0.77182, y=0.40062
x0=5.73634, x1=-1.07580, y=0.15271
x0=5.09869, x1=-4.39090, y=0.00078
x0=2.86422, x1=-3.64380, y=0.02162
x0=6.50514, x1=3.27157, y=457.74923
x0=7.56548, x1=-3.74610, y=0.00051
x0=2.04213, x1=3.49039, y=12.08683
x0=7.75856, x1=2.63391, y=220.59761
x0=9.87809, x1=-1.47617, y=0.03402
x0=5.17157, x1=4.20587, y=1003.24025
x0=7.40170, x1=-8.02605, y=0.00000
x0=4.11600, x1=-6.50951, y=0.00010
x0=7.11438, x1=1.63261, y=24.61547
x0=6.04427, x1=0.99377, y=5.97690
x0=6.34841, x1=-5.48156, y=0.00004
x0=2.33588, x1=-8.54963, y=0.00071
x0=9.33003, x1=8.35477, y=126807461.19574
x0=8.60902, x1=-5.81464, y=0.00000
x0=7.99959, x1=6.85206, y=1541242.45227
x0=5.73028, x1=-3.47259, y=0.00233
x0=6.82039, x1=6.88034, y=545627.06863
x0=7.24438, x1=-4.40823, y=0.00016
x0=9.18005, x1=-1.23136, y=0.06522
x0=6.40662, x1=-5.71493, y=0.00002

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=5.24723, x1=5.04203, y=4264.90193
x0=4.84497, x1=-6.44182, y=0.00004
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=-1.68579, x1=4.57655, y=-1.16006
x0=3.36838, x1=4.92237, y=-2.66272
x0=-8.32298, x1=5.78056, y=-1.82391
x0=-4.00266, x1=6.54209, y=-1.69163
x0=6.53907, x1=5.70116, y=-2.26254
x0=-1.73051, x1=-8.13532, y=-2.81240
x0=-7.44872, x1=-3.86540, y=-2.34894
x0=-4.14518, x1=-1.49831, y=-4.80309
x0=2.49383, x1=0.08170, y=1.21858
x0=-1.85968, x1=-8.18377, y=-2.73654
x0=1.95206, x1=-9.92029, y=-1.59759
x0=4.48229, x1=-0.50378, y=-0.28835
x0=8.45425, x1=-1.93302, y=-1.53470
x0=-4.09024, x1=-6.85078, y=-2.35969
x0=-4.33986, x1=-4.79939, y=-2.50481
x0=0.48086, x1=9.45704, y=-7.81593
x0=-0.54901, x1=-1.29937, y=1.93593
x0=-6.50633, x1=4.09061, y=-1.69610
x0=0.77638, x1=0.71853, y=1.68528
x0=-8.65157, x1=9.73302, y=-1.89680
x0=-8.81774, x1=-9.31572, y=-2.11372
x0=9.82435, x1=4.43120, y=-2.22204
x0=-5.04811, x1=-3.66387, y=-2.58081
x0=7.72243, x1=7.13253, y=-2.17281
x0=-0.22658, x1=-7.91968, y=5.46523
x0=-5.06318, x1=5.58843, y=-1.71242
x0=5.47561, x1=9.95269, y=-2.17477
x0=-2.79329, x1=-1.13467, y=-55.11066
x0=-4.13245, x1=-2.99363, y=-2.96041
x0=5.14331, x1=1.73398, y=-3.52068
x0=-2.08033, x1=2.11193, y=-0.78272
x0=2.75046, x1=1.50537, y=-9.89161
x0=-5.03473, x1=0.52019, y=-0.39830
x0=-0.00829, x1=0.05514, y=0.99954
x0=-9.40153, x1=1.56006, y=-1.49058
x0=-1.32281, x1=3.34044, y=-0.78686
x0=3.07810, x1=6.26607, y=-2.55257
x0=-9.15676, x1=2.79828, y=-1.68557
x0=1.42375, x1=8.84112, y=-2.93871
x0=9.91649, x1=3.04975, y=-2.33036
x0=-8.85745, x1=9.03454, y=-1.89160
x0=-6.37227, x1=8.34018, y=-1.83970
x0=7.74271, x1=3.74874, y=-2.34582
x0=-0.09955, x1=-9.37256, y=2.35423
x0=-6.41175, x1=-7.36638, y=-2.20348
x0=2.09425, x1=-6.36888, y=-1.44914
x0=-7.05046, x1=9.29854, y=-1.86873
x0=4.79663, x1=-6.20341, y=-1.72524
x0=1.35509, x1=-6.19310, y=-1.20999
x0=-3.30704, x1=-0.09705, y=1.35942
x0=3.46068, x1=6.68242, y=-2.44719
x0=1.62075, x1=8.92732, y=-2.78473
x0=2.73049, x1=-3.62846, y=-1.30273
x0=-8.54832, x1=7.60532, y=-1.86767
x0=0.63440, x1=-8.39135, y=-0.91872
x0=-6.97791, x1=0.91513, y=-1.04110
x0=0.35956, x1=-3.42103, y=0.12762
x0=3.10874, x1=-9.53129, y=-1.72418
x0=7.20549, x1=-2.63505, y=-1.59066
x0=-1.73365, x1=-2.81020, y=-6.80797
x0=8.11986, x1=-2.97893, y=-1.66898
x0=5.18096, x1=-3.08313, y=-1.52566
x0=5.58857, x1=0.56016, y=-70.96649
x0=-5.83797, x1=1.68568, y=-1.29912
x0=-6.01903, x1=3.39179, y=-1.61564
x0=-6.77691, x1=-6.70669, y=-2.21201
x0=7.17578, x1=-2.21891, y=-1.52437
x0=3.95940, x1=-7.72307, y=-1.73197
x0=-3.07355, x1=1.73898, y=-0.92149
x0=-5.91560, x1=-4.17218, y=-2.41511
x0=-0.88536, x1=-5.15516, y=-7.75391
x0=-8.96916, x1=3.35041, y=-1.72769
x0=5.59874, x1=9.19375, y=-2.18567
x0=-2.94271, x1=2.43702, y=-1.11517

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=0.90788, x1=-3.82743, y=-0.61000
x0=4.00144, x1=-3.31160, y=-1.44619
x0=8.04272, x1=-2.96258, y=-1.66452
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=-9.73165, x1=2.70366, y=-1.69295
x0=-3.58268, x1=-9.31126, y=-2.29645
x0=4.59906, x1=8.05587, y=-2.26432
x0=8.89259, x1=5.35131, y=-2.20185
x0=4.77268, x1=7.83134, y=-2.26181
x0=7.54619, x1=-4.17174, y=-1.73898
x0=-4.69631, x1=1.46738, y=-1.09011
x0=-7.35791, x1=4.53563, y=-1.75256
x0=4.61014, x1=-7.68097, y=-1.76569
x0=5.32894, x1=-9.07763, y=-1.82481
x0=4.37892, x1=-1.72957, y=-1.14883
x0=9.40402, x1=-4.63863, y=-1.80696
x0=2.99356, x1=7.84679, y=-2.43924
x0=-9.40153, x1=1.56006, y=-1.49058
x0=9.56959, x1=0.51514, y=-6.66389
x0=-4.84610, x1=-8.48702, y=-2.23604
x0=6.93124, x1=2.98108, y=-2.50955
x0=-9.06827, x1=2.65665, y=-1.66779
x0=5.02402, x1=0.54235, y=30.70247
x0=-0.64621, x1=9.46125, y=-1.01250
x0=3.69362, x1=-5.90848, y=-1.63744
x0=1.75590, x1=-5.74574, y=-1.31240
x0=-2.06908, x1=2.52093, y=-0.90458
x0=-2.83324, x1=8.72107, y=-1.67519
x0=-0.91879, x1=4.55418, y=-0.74727
x0=-4.38042, x1=7.72467, y=-1.75568
x0=5.92963, x1=6.35222, y=-2.25962
x0=1.83120, x1=-2.17233, y=-0.71023
x0=5.19742, x1=-8.30516, y=-1.80505
x0=6.20048, x1=3.40747, y=-2.49647
x0=-1.87980, x1=0.92979, y=-0.10439
x0=-1.05473, x1=-0.17530, y=1.19704
x0=3.01641, x1=-2.92019, y=-1.23784
x0=8.70121, x1=9.09109, y=-2.11826
x0=5.87392, x1=2.80625, y=-2.66747
x0=-3.88265, x1=-4.82167, y=-2.57249
x0=-9.95439, x1=1.32555, y=-1.44427
x0=-7.56250, x1=2.75247, y=-1.62210
x0=-6.47645, x1=-7.84048, y=-2.18837
x0=7.35070, x1=4.49089, y=-2.29989
x0=1.26082, x1=-3.43990, y=-0.77336
x0=0.85149, x1=-9.46795, y=-1.18640
x0=7.18050, x1=8.10274, y=-2.16310
x0=6.34728, x1=0.89253, y=-5.37694
x0=6.51879, x1=-8.84923, y=-1.85170
x0=2.62482, x1=-6.96446, y=-1.57708
x0=9.76911, x1=-9.62123, y=-1.90721
x0=-1.11423, x1=-1.50134, y=4.78141
x0=-2.45529, x1=2.87342, y=-1.10493
x0=-2.15239, x1=-5.93424, y=-2.92092
x0=-0.34881, x1=9.68708, y=-0.58911
x0=-2.08033, x1=2.11193, y=-0.78272
x0=9.18800, x1=-5.88021, y=-1.84218
x0=-2.98089, x1=-5.22547, y=-2.71562
x0=5.19343, x1=8.28835, y=-2.22475
x0=9.16697, x1=1.14916, y=-3.19454
x0=-9.65316, x1=3.43396, y=-1.75103
x0=1.00422, x1=9.79178, y=-3.31711
x0=2.45919, x1=0.60605, y=3.96185
x0=4.73816, x1=-2.86862, y=-1.45757
x0=6.12438, x1=-2.73783, y=-1.54471
x0=-5.48836, x1=-5.60268, y=-2.32433
x0=3.05416, x1=-7.67360, y=-1.65956
x0=9.21692, x1=-0.39726, y=-0.64896
x0=7.10050, x1=3.31672, y=-2.43795
x0=-5.94963, x1=-2.66231, y=-2.70095
x0=0.53407, x1=4.07169, y=8.90347
x0=-5.48410, x1=-6.70475, y=-2.26651
x0=-8.60110, x1=3.41180, y=-1.72175
x0=4.54884, x1=-6.62563, y=-1.72842
x0=-9.96575, x1=-7.87244, y=-2.11928
x0=-8.77594, x1=5.06376, y=-1.81028
x0=-1.89232, x1=-5.44426, y=-3.23250
x0=-8.30235, x1=9.00606, y=-1.88428
x0=-5.87204, x1=7.44181, y=-1.80727
x0=-4.66849, x1=7.80270, y=-1.77173
x0=1.35997, x1=2.66194, y=-16.51267
x0=9.26257, x1=0.17119, y=4.36347
x0=-9.07206, x1=8.38658, y=-1.88620
x0=0.47349, x1=5.53335, y=21.68475
x0=7.47228, x1=-6.07808, y=-1.81412
x0=-8.10032, x1=9.62911, y=-1.88889
x0=-6.85848, x1=-5.55301, y=-2.25652
x0=-9.68451, x1=3.17796, y=-1.73355
x0=9.25520, x1=9.06697, y=-2.11123
x0=9.19072, x1=-9.05942, y=-1.89567
x0=-8.46162, x1=5.94451, y=-1.83114
x0=-2.88537, x1=2.08042, y=-1.00031
x0=-7.87847, x1=8.33922, y=-1.86900
x0=4.79539, x1=-3.16986, y=-1.50551
x0=-6.00547, x1=-3.24680, y=-2.54550
x0=4.56262, x1=2.56289, y=-3.03526
x0=5.82621, x1=-7.80736, y=-1.81438
x0=8.00024, x1=8.79269, y=-2.13364
x0=-5.97891, x1=6.58001, y=-1.78744
x0=-0.27576, x1=-8.25026, y=10.41571
x0=-7.25835, x1=-5.72032, y=-2.23364
x0=-7.25059, x1=-8.90885, y=-2.14612
x0=-5.72274, x1=5.41270, y=-1.73510
x0=-6.62694, x1=7.60213, y=-1.83139
x0=8.76377, x1=0.63551, y=-5.50266
x0=-7.73837, x1=-2.57009, y=-2.53291
x0=5.28997, x1=4.66292, y=-2.41538
x0=4.13827, x1=7.97249, y=-2.30008
x0=-5.61978, x1=6.19505, y=-1.76200
x0=3.52562, x1=-9.54944, y=-1.75455

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=9.03154, x1=-6.84761, y=-1.86121
x0=3.22706, x1=8.95938, y=-2.34732
x0=-2.81824, x1=-0.99523, y=44.10693
x0=-6.79524, x1=6.14007, y=-1.79876
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=6.31081, y=2.17990
x0=3.68512, y=1.73624
x0=8.85191, y=2.51534
x0=8.01261, y=2.41155
x0=2.32660, y=1.42930
x0=1.23563, y=1.09363
x0=8.42312, y=2.46306
x0=6.21173, y=2.16535
x0=5.76891, y=2.09866
x0=2.16067, y=1.38526
x0=4.73172, y=1.92989
x0=8.77546, y=2.50613
x0=1.90122, y=1.31229
x0=9.58121, y=2.60100
x0=6.10042, y=2.14886
x0=8.56541, y=2.48058
x0=5.43664, y=2.04666
x0=1.30843, y=1.12043
x0=2.79627, y=1.54491
x0=2.45237, y=1.46149
x0=2.13546, y=1.37840
x0=8.05280, y=2.41666
x0=1.81505, y=1.28680
x0=9.03459, y=2.53717
x0=2.50166, y=1.47384
x0=7.19541, y=2.30428
x0=0.52430, y=0.76100
x0=0.08634, y=0.35483
x0=3.87343, y=1.77323
x0=5.36398, y=2.03504
x0=3.05511, y=1.60386
x0=2.28339, y=1.41801
x0=1.70686, y=1.25377
x0=1.49938, y=1.18689
x0=1.71620, y=1.25667
x0=4.02235, y=1.80175
x0=7.17848, y=2.30198
x0=4.48171, y=1.88608
x0=0.52146, y=0.75925
x0=9.26556, y=2.56441
x0=2.15569, y=1.38391
x0=1.37834, y=1.14537
x0=9.94761, y=2.64262
x0=0.43674, y=0.70439
x0=4.64311, y=1.91452
x0=7.76898, y=2.38026
x0=7.81583, y=2.38632
x0=8.17969, y=2.43270
x0=9.93733, y=2.64147
x0=7.44026, y=2.33712
x0=3.22007, y=1.63994
x0=7.56669, y=2.35384
x0=2.77802, y=1.54064
x0=3.59997, y=1.71915
x0=8.44180, y=2.46537
x0=2.05687, y=1.35671
x0=5.54169, y=2.06329
x0=9.81628, y=2.62781
x0=3.27810, y=1.65237
x0=1.04818, y=1.02011
x0=4.28361, y=1.85036
x0=1.61091, y=1.22346
x0=0.38751, y=0.66964
x0=8.19813, y=2.43501
x0=4.39019, y=1.86969
x0=6.97363, y=2.27396
x0=1.40682, y=1.15533
x0=4.61814, y=1.91016
x0=2.45409, y=1.46192
x0=4.08211, y=1.81303
x0=2.35960, y=1.43784
x0=3.65653, y=1.73053
x0=7.18150, y=2.30239
x0=9.22513, y=2.55967
x0=5.26808, y=2.01957
x0=6.59145, y=2.22039
x0=5.23985, y=2.01499
x0=6.55900, y=2.21576
x0=3.51263, y=1.70138
x0=9.86546, y=2.63337
x0=9.16785, y=2.55293
x0=6.77911, y=2.24691
x0=2.99835, y=1.59119
x0=5.96545, y=2.12861
x0=9.55747, y=2.59827
x0=6.98355, y=2.27533
x0=8.55636, y=2.47947
x0=7.75459, y=2.37839
x0=3.07406, y=1.60806
x0=9.60955, y=2.60425
x0=0.85631, y=0.93649
x0=2.30667, y=1.42411
x0=7.69645, y=2.37083
x0=3.68980, y=1.73717
x0=4.39394, y=1.87037
x0=2.40572, y=1.44966
x0=4.49242, y=1.88799
x0=4.40118, y=1.87167
x0=2.22802, y=1.40336
x0=4.82667, y=1.94618
x0=9.38915, y=2.57882
x0=9.73378, y=2.61844
x0=5.24069, y=2.01512
x0=0.06845, y=0.32163
x0=9.19567, y=2.55621
x0=9.01752, y=2.53514
x0=4.65254, y=1.91616
x0=7.25995, y=2.31300
x0=1.12575, y=1.05138
x0=9.96690, y=2.64479
x0=5.55944, y=2.06609
x0=6.16766, y=2.15884
x0=8.35257, y=2.45431
x0=4.89319, y=1.95748
x0=5.76811, y=2.09854

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=3.43926, y=1.68626
x0=8.89211, y=2.52017
x0=0.63216, y=0.82366
x0=6.80638, y=2.25073
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=8.61046, y=2.93436
x0=5.77411, y=2.40294
x0=5.07255, y=2.25223
x0=1.90090, y=1.37873
x0=3.35925, y=1.83283
x0=4.11636, y=2.02888
x0=4.76727, y=2.18341
x0=3.19649, y=1.78787
x0=3.09815, y=1.76016
x0=2.46212, y=1.56911
x0=0.04280, y=0.20688
x0=3.70791, y=1.92559
x0=5.55494, y=2.35689
x0=8.04202, y=2.83585
x0=6.14957, y=2.47983
x0=0.16951, y=0.41171
x0=8.69791, y=2.94922
x0=4.74705, y=2.17877
x0=2.34548, y=1.53150
x0=3.96550, y=1.99136
x0=4.95399, y=2.22576
x0=8.03094, y=2.83389
x0=5.48657, y=2.34234
x0=0.75187, y=0.86711
x0=5.05352, y=2.24800
x0=9.55844, y=3.09167
x0=5.50665, y=2.34663
x0=6.01158, y=2.45185
x0=6.14008, y=2.47792
x0=5.99297, y=2.44806
x0=4.10248, y=2.02546
x0=4.82708, y=2.19706
x0=5.81851, y=2.41216
x0=1.87943, y=1.37092
x0=3.52174, y=1.87663
x0=8.94822, y=2.99136
x0=9.02780, y=3.00463
x0=9.10047, y=3.01670
x0=3.99841, y=1.99960
x0=4.03059, y=2.00763
x0=8.13118, y=2.85152
x0=0.10446, y=0.32320
x0=0.64314, y=0.80196
x0=6.95489, y=2.63721
x0=9.28482, y=3.04710
x0=7.11480, y=2.66736
x0=2.93460, y=1.71307
x0=1.98249, y=1.40801
x0=0.38660, y=0.62177
x0=9.17038, y=3.02826
x0=8.79486, y=2.96561
x0=1.42210, y=1.19252
x0=5.95070, y=2.43940
x0=1.68851, y=1.29943
x0=4.88672, y=2.21059
x0=9.35944, y=3.05932
x0=9.40194, y=3.06626
x0=9.41990, y=3.06918
x0=4.40210, y=2.09812
x0=9.69962, y=3.11442
x0=1.20262, y=1.09664
x0=8.88924, y=2.98148
x0=0.67452, y=0.82129
x0=0.93845, y=0.96874
x0=0.78752, y=0.88742
x0=5.42954, y=2.33014
x0=1.55676, y=1.24770
x0=4.70801, y=2.16980
x0=9.51222, y=3.08419
x0=4.42298, y=2.10309
x0=5.05306, y=2.24790
x0=8.87119, y=2.97845
x0=8.16713, y=2.85782

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=9.74652, y=3.12194
x0=9.74998, y=3.12250
x0=9.86614, y=3.14104
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)).