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polygamma4_approx.csv
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polygamma4_approx.csv
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x,y_expected,y_actual,error(abs),error(rate)
0.03125,-8.05306389401507800886e8,-805306389.4015079,5.35753835e-8,6.65279504e-17
0.0625,-2.51658424913430802978e7,-25165842.49134308,6.99654548e-10,2.78017534e-17
0.09375,-3.31403402308154891338e6,-3314034.0230815485,4.01400293e-10,1.21121355e-16
0.125,-7.86445985431063785793e5,-786445.9854310638,1.80509527e-11,2.29525651e-17
0.15625,-2.57710274140313826485e5,-257710.27414031382,5.80448505e-12,2.25232970e-17
0.1875,-1.03573807933670405699e5,-103573.8079336704,9.83031466e-12,9.49112026e-17
0.21875,-4.79244093547210915941e4,-47924.40935472109,4.73768107e-12,9.88573701e-17
0.25,-2.45843753886379337336e4,-24584.375388637935,7.86816756e-13,3.20047487e-17
0.28125,-1.36453642956728215233e4,-13645.36429567282,1.58817286e-12,1.16389187e-16
0.3125,-8.05967556412007949039e3,-8059.67556412008,3.07773034e-13,3.81867771e-17
0.34375,-5.00621973890074165292e3,-5006.2197389007415,1.48879946e-13,2.97389954e-17
0.375,-3.24162646194371430383e3,-3241.6264619437143,2.82821481e-14,8.72467833e-18
0.40625,-2.17366264236099623597e3,-2173.6626423609964,1.78966799e-13,8.23342110e-17
0.4375,-1.50160442209032151646e3,-1501.6044220903216,6.08817351e-14,4.05444564e-17
0.46875,-1.06432958211903596351e3,-1064.329582119036,1.40395146e-13,1.31909466e-16
0.5,-7.71474249826667225191e2,-771.4742498266672,7.61945984e-15,9.87649276e-18
0.53125,-5.70321470768643713346e2,-570.3214707686437,2.16817329e-14,3.80166871e-17
0.5625,-4.29042450960847569946e2,-429.04245096084753,3.80855717e-14,8.87687726e-17
0.59375,-3.27830795904068990385e2,-327.830795904069,3.03228209e-14,9.24953400e-17
0.625,-2.54027005350093680662e2,-254.02700535009367,6.66553632e-15,2.62394792e-17
0.65625,-1.99343911528717207239e2,-199.3439115287172,7.13976315e-15,3.58163091e-17
0.6875,-1.58238848528452023442e2,-158.23884852845202,8.69162803e-16,5.49272705e-18
0.71875,-1.26932152169196932645e2,-126.93215216919694,6.79487817e-15,5.35315762e-17
0.75,-1.02800605815417472539e2,-102.80060581541747,2.98156219e-15,2.90033523e-17
0.78125,-8.39941350743007149526e1,-83.99413507430071,4.76592121e-17,5.67411190e-19
0.8125,-6.91886070829182908008e1,-69.1886070829183,4.73142842e-15,6.83845017e-17
0.84375,-5.74234140097230972277e1,-57.423414009723096,9.42528542e-16,1.64136626e-17
0.875,-4.79929241496448174147e1,-47.992924149644814,3.17899557e-15,6.62388388e-17
0.90625,-4.03727842923890696545e1,-40.37278429238907,8.60620282e-16,2.13168424e-17
0.9375,-3.41691506983126408078e1,-34.16915069831264,8.15235991e-16,2.38588310e-17
0.96875,-2.90832402269685423403e1,-29.08324022696854,6.20756857e-16,2.13441436e-17
1,-2.48862661234408782320e1,-24.88626612344087,9.15171167e-15,3.67741453e-16
1.03125,-2.14015078008862864302e1,-21.401507800886282,4.19012297e-15,1.95786344e-16
1.0625,-1.84913430802978124930e1,-18.49134308029781,2.67303396e-15,1.44555966e-16
1.09375,-1.60477729069380736148e1,-16.047772906938068,5.70981593e-15,3.55801142e-16
1.125,-1.39854310637857932012e1,-13.98543106378579,3.93824169e-15,2.81596017e-16
1.15625,-1.22363803138264850884e1,-12.236380313826485,1.89239663e-16,1.54653302e-17
1.1875,-1.07462052753439707500e1,-10.74620527534397,1.11822274e-15,1.04057452e-16
1.21875,-9.47105520303364208072e0,-9.471055203033643,9.29997478e-16,9.81936498e-17
1.25,-8.37538863793373355823e0,-8.375388637933735,1.66703338e-15,1.99039526e-16
1.28125,-7.43024090474755084392e0,-7.430240904747549,1.56410567e-15,2.10505378e-16
1.3125,-6.61188412007949038522e0,-6.611884120079491,7.26485712e-16,1.09875748e-16
1.34375,-5.90078403551262608955e0,-5.9007840355126255,5.53493344e-16,9.37999663e-17
1.375,-5.28078293136862481850e0,-5.280782931368625,3.80794936e-16,7.21095604e-17
1.40625,-4.73845580213302012657e0,-4.73845580213302,4.81229242e-16,1.01558242e-16
1.4375,-4.26260023038220546017e0,-4.262600230382205,6.46776056e-16,1.51732750e-16
1.46875,-3.84383002027053141045e0,-3.8438300202705307,7.43048607e-16,1.93309434e-16
1.5,-3.47424982666722519054e0,-3.474249826667225,3.74145932e-16,1.07691142e-16
1.53125,-3.14719335901725096266e0,-3.147193359017251,2.05887910e-16,6.54195300e-17
1.5625,-2.85701174934525830614e0,-2.857011749345258,4.94456862e-16,1.73067844e-16
1.59375,-2.59890170274666845817e0,-2.5989017027466677,8.05793842e-16,3.10051681e-16
1.625,-2.36876535009368066206e0,-2.3687653500936805,1.62507091e-16,6.86041320e-17
1.65625,-2.16309548131779179823e0,-2.1630954813177916,1.85283137e-16,8.56564762e-17
1.6875,-1.97888118891361635366e0,-1.9788811889136162,1.57772986e-16,7.97283775e-17
1.71875,-1.81352999508346479509e0,-1.8135299950834647,1.09708364e-16,6.04943750e-17
1.75,-1.66480334628167006979e0,-1.6648033462816696,4.76021828e-16,2.85932768e-16
1.78125,-1.53076299110071495255e0,-1.5307629911007146,3.87445796e-16,2.53106326e-16
1.8125,-1.40972625295381530566e0,-1.4097262529538153,4.36551812e-17,3.09671336e-17
1.84375,-1.30022859915489157967e0,-1.3002285991548912,3.83807122e-16,2.95184341e-16
1.875,-1.20099221652171394587e0,-1.200992216521714,5.26437299e-18,4.38335313e-18
1.90625,-1.11089954863336879153e0,-1.1108995486333688,2.47689652e-17,2.22963140e-17
1.9375,-1.02897094522622105471e0,-1.0289709452262208,2.64663526e-16,2.57211855e-16
1.96875,-9.54345730586166209062e-1,-0.954345730586166,2.01237437e-16,2.10864292e-16
2,-8.86266123440878231953e-1,-0.8862661234408782,4.78828696e-17,5.40276428e-17
2.03125,-8.24063542181640229248e-1,-0.8240635421816402,1.13657105e-17,1.37922743e-17
2.0625,-7.67146911246985543527e-1,-0.7671469112469855,1.34850432e-17,1.75781757e-17
2.09375,-7.14992651092295070165e-1,-0.714992651092295,3.06036611e-17,4.28027631e-17
2.125,-6.67136088426345962473e-1,-0.667136088426346,1.20382142e-17,1.80446156e-17
2.15625,-6.23164067744652752272e-1,-0.6231640677446528,7.53135241e-17,1.20856654e-16
2.1875,-5.82708581552648189781e-1,-0.5827085815526482,3.70793517e-17,6.36327537e-17
2.21875,-5.45441266577414855024e-1,-0.5454412665774149,1.88268680e-17,3.45167650e-17
2.25,-5.11068637933733558227e-1,-0.5110686379337336,2.45072666e-17,4.79529847e-17
2.28125,-4.79327953614274861571e-1,-0.47932795361427477,9.05826808e-17,1.88978506e-16
2.3125,-4.49983618598258652708e-1,-0.4499836185982587,4.17570049e-17,9.27967222e-17
2.34375,-4.22824051948960974072e-1,-0.42282405194896094,3.01575110e-17,7.13240197e-17
2.375,-3.97658952008049596989e-1,-0.39765895200804957,2.59970785e-17,6.53753131e-17
2.40625,-3.74316904607236455380e-1,-0.37431690460723654,8.92975374e-17,2.38561327e-16
2.4375,-3.52643287441159589869e-1,-0.3526432874411596,9.06043470e-18,2.56929170e-17
2.46875,-3.32498430653670904742e-1,-0.33249843065367085,5.35886428e-17,1.61169611e-16
2.5,-3.13755999506731363375e-1,-0.3137559995067314,2.33413232e-17,7.43932332e-17
2.53125,-2.96301569910446776787e-1,-0.29630156991044676,1.63838382e-17,5.52944699e-17
2.5625,-2.80031371745258306140e-1,-0.2800313717452584,7.77918947e-17,2.77797070e-16
2.59375,-2.64851178427217995689e-1,-0.26485117842721795,4.75696384e-17,1.79608936e-16
2.625,-2.50675324157290802840e-1,-0.25067532415729077,3.41726971e-17,1.36322541e-16
2.65625,-2.37425832840733725302e-1,-0.2374258328407337,1.71060615e-17,7.20480214e-17
2.6875,-2.25031644833359927163e-1,-0.2250316448333599,1.54128517e-17,6.84919303e-17
2.71875,-2.13427929526591506502e-1,-0.21342792952659148,2.54111398e-17,1.19061923e-16
2.75,-2.02555473371573086387e-1,-0.2025554733715731,5.12545949e-18,2.53039792e-17
2.78125,-1.92360134305149841744e-1,-0.1923601343051498,3.14807151e-17,1.63655090e-16
2.8125,-1.82792354711449653691e-1,-0.18279235471144972,6.90023432e-17,3.77490313e-16
2.84375,-1.73806726060884461585e-1,-0.17380672606088446,2.72310495e-18,1.56674314e-17
2.875,-1.65361599237763328590e-1,-0.16536159923776333,6.21198261e-18,3.75660530e-17
2.90625,-1.57418735318748319374e-1,-0.1574187353187483,9.77043388e-18,6.20665251e-17
2.9375,-1.49942992214271800610e-1,-0.14994299221427176,3.64478328e-17,2.43077934e-16
2.96875,-1.42902043148308532353e-1,-0.1429020431483085,2.16187083e-17,1.51283409e-16
3,-1.36266123440878231953e-1,-0.1362661234408782,2.01272940e-17,1.47705779e-16
3.03125,-1.30007802482804000178e-1,-0.130007802482804,3.30963112e-18,2.54571730e-17
3.0625,-1.24101778162465349747e-1,-0.12410177816246537,2.06669635e-17,1.66532372e-16
3.09375,-1.18524691327141247275e-1,-0.11852469132714123,1.50420109e-17,1.26910357e-16
3.125,-1.13254958143507620302e-1,-0.11325495814350761,8.93429065e-18,7.88865300e-17
3.15625,-1.08272618468465641779e-1,-0.10827261846846564,5.26074557e-19,4.85879592e-18
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