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=1.29154, x1=7.45624, y=-0.77755
x0=8.53743, x1=7.01663, y=-0.22169
x0=-1.72484, x1=-3.81615, y=0.17419
x0=3.67513, x1=-1.27518, y=-0.55965
x0=-7.18369, x1=2.57916, y=0.27083
x0=-7.54760, x1=-5.87357, y=-0.92759
x0=6.56277, x1=-1.52129, y=-0.29497
x0=6.84867, x1=-9.18424, y=0.09000
x0=3.21718, x1=0.10450, y=-0.99222
x0=-6.44278, x1=5.18526, y=-0.20227
x0=4.48814, x1=8.91701, y=-0.10903
x0=0.83147, x1=0.89895, y=0.85393
x0=3.70073, x1=-8.62436, y=0.26043
x0=-4.46731, x1=6.03945, y=0.40272
x0=-3.12315, x1=-4.67241, y=-0.69257
x0=2.74982, x1=-3.43947, y=0.12349
x0=7.52623, x1=3.38653, y=0.11693
x0=2.65000, x1=-7.22407, y=0.65981
x0=5.74244, x1=-3.48012, y=-0.12214
x0=2.13770, x1=-5.90648, y=0.06377
x0=-8.07619, x1=3.85085, y=-0.15169
x0=-6.81312, x1=-8.41964, y=-0.34382
x0=6.11167, x1=-0.44215, y=0.24825
x0=-0.86723, x1=5.78157, y=0.93363
x0=-2.40378, x1=9.34886, y=-0.01699
x0=7.40763, x1=3.94222, y=0.38709
x0=9.83408, x1=9.52448, y=0.04073
x0=-2.53934, x1=6.20196, y=-0.61845
x0=-4.98181, x1=-6.48190, y=0.92361
x0=-1.86806, x1=8.35669, y=0.16951
x0=-5.24987, x1=-8.30528, y=0.53086
x0=5.06464, x1=1.40434, y=0.73836
x0=-7.97767, x1=9.07977, y=-0.09690
x0=8.88004, x1=-0.79605, y=0.63083
x0=-5.08667, x1=5.40971, y=0.88350
x0=-1.06567, x1=-4.21604, y=0.51155
x0=3.63429, x1=0.09152, y=-0.73833
x0=8.16599, x1=2.28197, y=-0.13005
x0=-3.38401, x1=5.38213, y=-0.84135
x0=3.68652, x1=-7.62414, y=0.53603
x0=5.32272, x1=-0.87204, y=0.89878
x0=7.50667, x1=0.57994, y=-0.92495
x0=-5.85731, x1=7.71064, y=0.45072
x0=-2.31910, x1=-8.84041, y=-0.09526
x0=8.05618, x1=-2.92843, y=-0.04932
x0=7.40519, x1=-5.50927, y=0.92024
x0=-9.19057, x1=-1.48425, y=-0.69202
x0=-5.03107, x1=-3.67366, y=0.25058
x0=-6.42845, x1=-2.27491, y=0.09078
x0=-1.60340, x1=-1.72705, y=-0.43644
x0=-4.60988, x1=-8.63387, y=0.22746
x0=7.16897, x1=-2.53400, y=-0.29042
x0=-9.04364, x1=-5.18868, y=0.71816
x0=-6.83104, x1=-7.92201, y=-0.49995
x0=-8.15378, x1=-8.64141, y=-0.12576
x0=-0.59984, x1=-2.26556, y=-0.33218
x0=-4.37081, x1=5.15471, y=0.22785
x0=9.44954, x1=-4.44191, y=-0.60489
x0=1.42904, x1=3.66464, y=-0.21729
x0=-5.98166, x1=-9.28648, y=0.03020
x0=8.24863, x1=-3.97592, y=0.07788
x0=-1.09233, x1=3.99439, y=0.41265
x0=9.99736, x1=2.89974, y=0.07881
x0=-1.60217, x1=-8.97888, y=0.14882
x0=9.71205, x1=-1.63187, y=0.62255
x0=4.88712, x1=-0.42566, y=0.84663
x0=6.31360, x1=-3.26607, y=0.00284
x0=-9.88391, x1=8.61747, y=0.30325
x0=5.06372, x1=-3.01205, y=0.06258
x0=4.98344, x1=3.05472, y=0.04034
x0=-9.32716, x1=-2.56847, y=-0.27963
x0=-7.26864, x1=2.65855, y=0.23816
x0=-5.04413, x1=9.03290, y=0.18668
x0=8.23119, x1=-9.57923, y=-0.01681
x0=6.22089, x1=-1.08305, y=0.07995
x0=2.42032, x1=5.19787, y=0.40217
x0=7.61591, x1=1.93268, y=-0.51698
x0=-0.06073, x1=-6.92434, y=0.08633
x0=5.99640, x1=-6.85146, y=-0.40032
x0=5.35880, x1=-8.75551, y=-0.32287
x0=-4.33725, x1=-1.78216, y=-0.13882
x0=-8.68362, x1=-3.14371, y=0.00047
x0=8.98554, x1=-3.11720, y=0.00964
x0=1.52493, x1=-9.02405, y=-0.15007
x0=-2.65521, x1=-9.20360, y=-0.08227
x0=6.45596, x1=7.69210, y=0.19527
x0=-1.24736, x1=8.37127, y=0.48024
x0=-0.70750, x1=0.46011, y=-0.84997
x0=8.96916, x1=-2.97600, y=0.06413

Based on the above data, please infer the possible formula. Ensure that your inference applies to all the provided data points, and consider both linear and nonlinear combinations. Verify whether your formula applies to the following new data point and adjust it to ensure accuracy:
x0=6.72750, x1=-3.34869, y=0.06390
x0=-7.80027, x1=4.09259, y=-0.34870
x0=-3.29319, x1=-2.99364, y=0.07201
Finally, please output the formula string you inferred within \boxed{}(e.g. \boxed{y=sqrt(x0 + x1) / (2 * pi)}). Note that you should express mathematical formulas using Python syntax(sqrt(x0)) instead of LaTeX format(\sqrt(x_0)).


Prompt:
You will be provided with a set of input-output pairs. Based on these data, infer the mathematical relationship between y and multiple input variables. Please note that the possible mathematical operations include: +, -, *, /, exp, sqrt, sin, arcsin, and constant terms. The input sample data are as follows:
x0=4.68545, y=-1.29160
x0=5.58048, y=-0.81094
x0=-8.35205, y=2.00794
x0=8.48855, y=0.18304
x0=7.47944, y=0.28911
x0=5.99556, y=-0.05012
x0=5.19296, y=1.45891
x0=3.26714, y=0.97446
x0=-2.07674, y=0.28889
x0=0.75994, y=-0.22754
x0=-8.00576, y=0.08694
x0=5.93445, y=-0.71274
x0=5.54420, y=-0.45602
x0=-5.56950, y=-0.70668
x0=-3.63673, y=-0.82616
x0=-8.39078, y=1.59498
x0=-4.79930, y=-1.37126
x0=-7.09458, y=1.19164
x0=7.48431, y=0.22097
x0=-3.95019, y=-0.36482
x0=8.01228, y=0.18525
x0=-3.49863, y=0.00904
x0=6.09691, y=1.04617
x0=-5.67329, y=-1.50810
x0=0.96432, y=-0.06431
x0=-2.85347, y=-0.68143
x0=-4.84904, y=-1.18204
x0=7.19607, y=2.03604
x0=-2.47895, y=0.09806
x0=-7.73253, y=-2.30580
x0=7.19260, y=2.01896
x0=-6.29990, y=1.79783
x0=-6.69990, y=-1.91120
x0=4.69351, y=-1.32030
x0=-2.16311, y=0.55460
x0=8.39326, y=1.56492
x0=-2.81900, y=-0.76746
x0=4.10999, y=0.78589
x0=-3.73561, y=-1.11610
x0=-1.24065, y=0.37155
x0=9.38715, y=1.83363
x0=1.13588, y=0.25686
x0=-3.18057, y=0.86481
x0=-5.05007, y=0.46878
x0=-2.41146, y=0.38203
x0=2.14766, y=0.51562
x0=5.15182, y=1.26066
x0=5.10683, y=0.95290
x0=-0.59787, y=-0.10347
x0=-2.23390, y=0.66675
x0=1.34085, y=0.33848
x0=9.53696, y=-0.65854
x0=0.61283, y=-0.11969
x0=-4.40052, y=0.77246
x0=2.84329, y=-0.71060
x0=1.92980, y=-0.24715
x0=7.99533, y=-0.07037
x0=-6.72427, y=-1.99097
x0=6.67530, y=-1.78602
x0=-8.61456, y=-1.70370
x0=-0.93531, y=-0.11094
x0=-1.22009, y=0.35958
x0=7.69414, y=-2.16750
x0=-3.20029, y=0.91364
x0=-2.24558, y=0.67342
x0=6.03710, y=0.41839
x0=1.93743, y=-0.22267
x0=2.64429, y=-0.62464
x0=-8.15538, y=2.02682
x0=-7.14308, y=1.67731
x0=-4.08000, y=0.58969
x0=-5.34253, y=1.33943
x0=-6.65613, y=-1.65951
x0=3.97732, y=-0.16943
x0=-5.39943, y=0.95679
x0=-1.94368, y=-0.20207
x0=3.89149, y=-0.73573
x0=-6.04045, y=0.45558
x0=7.22543, y=2.14184

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=-0.59562, y=-0.10101
x0=-0.09324, y=0.01546
x0=3.68227, y=-1.00616
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)).