#------------------------------------------------------------------------------- # Copyright 2012 Yuriy Lagodiuk # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. #------------------------------------------------------------------------------- Target is derivative of function f(x) = x^3 + 10*x + 3^x Training set are values (f(x+dx) - f(x))/dx x: [-10, -9.5, -8 ..10] dx = 0.01 Func = 109.64977577815877 0 6.433174489108634E9 Func = (x * (x * x)) 1 6.218170370830117E9 Func = (152.85612008140944 * (x * x)) 2 4.357139286983992E9 3 4.357139286983992E9 4 4.357139286983992E9 Func = ((146.85963807919956 * (x * (x * x))) / 7.754806071541476) 5 4.042479410774492E9 Func = ((146.82207834305945 * (x * (x * x))) / 7.754806071541476) 6 4.042479346747694E9 Func = ((117.4047803743754 * ((x * x) * (x * x))) / 52.09747875865136) 7 3.6713051402935305E9 Func = ((117.35323711757636 * ((x * x) * (x * x))) / 52.09747875865136) 8 3.6713045734101534E9 Func = ((x * ((x * x) * (x * x))) / 4.126969838569372) 9 3.5774063589728093E9 10 3.5774063589728093E9 Func = ((x * ((x * (x * x)) * (x * x))) / 36.63783772357264) 11 3.3550402002124825E9 12 3.3550402002124825E9 13 3.3550402002124825E9 14 3.3550402002124825E9 15 3.3550402002124825E9 Func = ((1.9446676324360634 * (x * (((x * x) * x) * (x * x)))) / 71.24605134378454) 16 3.3550401648771048E9 17 3.3550401648771048E9 18 3.3550401648771048E9 Func = ((1.9446676324360634 * (x * (((x * x) * x) * (x * x)))) / 71.23181584131068) 19 3.3550400971281233E9 20 3.3550400971281233E9 21 3.3550400971281233E9 22 3.3550400971281233E9 23 3.3550400971281233E9 24 3.3550400971281233E9 25 3.3550400971281233E9 Func = (((x * (x * (x * x))) * ((x * (x * (0.39441399389626053 * x))) * (0.048826898862701196 * x))) / 63.12981003658451) 26 3.2251079260362844E9 27 3.2251079260362844E9 Func = (((x * (x * (x * x))) * ((x * (x * (4.314107866748613 + x))) * (0.024904434905545614 * x))) / 80.26450749499529) 28 1.0035788179953475E9 Func = (((x * (9.560968751579718 + x)) * ((x * (x * (x * x))) * (0.21840764073813634 * x))) / 76.58521557535352) 29 2.5243029415654135E8 30 2.5243029415654135E8 31 2.5243029415654135E8 32 2.5243029415654135E8 33 2.5243029415654135E8 34 2.5243029415654135E8 35 2.5243029415654135E8 36 2.5243029415654135E8 Func = (((x * (9.555013152005529 + x)) * (((x + x) * (x * 0.06599738986750836)) * ((x * x) * x))) / 46.22718519859549) 37 2.5239906542695644E8 38 2.5239906542695644E8 Func = ((x * (9.451826939117623 + x)) * (((sqrt(abs((5.942944607476102 - x))) * x) * (x * x)) * (0.014239814401974638 * x))) 39 2.2464070791931325E8 40 2.2464070791931325E8 41 2.2464070791931325E8 42 2.2464070791931325E8 43 2.2464070791931325E8 44 2.2464070791931325E8 45 2.2464070791931325E8 46 2.2464070791931325E8 47 2.2464070791931325E8 48 2.2464070791931325E8 49 2.2464070791931325E8 Func = ((((-6.351922218746511) + x) * (8.663539268245092 + x)) * (((sqrt(abs((7.128727283980184 - x))) * x) * (x * x)) * (0.01307318444295591 * (sqrt(abs((x - (-9.755672223086037)))) * x)))) 50 1.8359943519738394E8 51 1.8359943519738394E8 52 1.8359943519738394E8 53 1.8359943519738394E8 Func = ((((-2.757759711570742) + sqrt(abs(((-0.8654199930065092) - x)))) * (9.795310678053845 + x)) * (((sqrt(abs(79.96273609454731)) * x) * (x * x)) * (0.01307318444295591 * (sqrt(abs((x - (-13.088754291968938)))) * x)))) 54 9.428829934095275E7 55 9.428829934095275E7 56 9.428829934095275E7 57 9.428829934095275E7 Func = ((((-2.68403948718011) + sqrt(abs(((-1.8257486185410818) - x)))) * (9.277068226736016 + x)) * (((sqrt(abs((x * x))) * x) * (x * x)) * (0.01307318444295591 * (sqrt(abs(x)) * x)))) 58 6.556025990050476E7 Func = ((((-4.117686352302021) + sqrt(abs(((-4.602384508929739) - (x + x))))) * (8.123588671796426 + x)) * (((sqrt(abs((x * x))) * x) * (x * x)) * (0.01307318444295591 * (sqrt(abs(x)) * x)))) 59 4.1179893542209946E7 60 4.1179893542209946E7 61 4.1179893542209946E7 62 4.1179893542209946E7 63 4.1179893542209946E7 Func = ((((-4.117686352302021) + sqrt(abs(((-4.57544846762388) - (x + x))))) * (7.9524378855439215 + x)) * (((sqrt(abs((x * x))) * x) * (x * x)) * (0.01307318444295591 * (sqrt(abs(x)) * x)))) 64 4.002467177585134E7 Func = ((x * (x * x)) + (3.0160804323861425 ^ x)) 65 1.325602039102765E7 Func = ((x * (x * x)) + (3.0229149011962964 ^ x)) 66 7180143.216776712 Func = ((x * (x + (1.6824066273343554 ^ x))) + (3.0229149011962964 ^ x)) 67 290497.27486719325 Func = ((x * (x + (1.6587882453430076 ^ x))) + (3.0229149011962964 ^ x)) 68 242605.43910943644 Func = (((x * (x + (1.6587882453430076 ^ x))) + (3.0229149011962964 ^ x)) + 44.07333900390181) 69 163119.4335504172 70 163119.4335504172 71 163119.4335504172 Func = (((x * (x + (1.6587882453430076 ^ x))) + (3.0229149011962964 ^ x)) + (0.6285719250608786 ^ x)) 72 121467.41096588725 73 121467.41096588725 74 121467.41096588725 Func = (((x * ((-13.336252869762774) + (1.68626799811129 ^ x))) + (3.0229149011962964 ^ x)) + 30.44399629893308) 75 113628.2751362324 76 113628.2751362324 Func = (((x * ((-13.382777765508543) + (1.68626799811129 ^ x))) + (3.0229149011962964 ^ x)) + 31.435942302690094) 77 111494.85049168814 78 111494.85049168814 79 111494.85049168814 Func = (((x * ((-13.382777765508543) + (1.68626799811129 ^ x))) + (3.0229149011962964 ^ x)) + 55.742310388752465) 80 84663.20813800766 Func = (((x * ((-13.382777765508543) + (1.68626799811129 ^ x))) + (3.0229149011962964 ^ x)) + 57.052764520150724) 81 84592.96279799407 82 84592.96279799407 83 84592.96279799407 84 84592.96279799407 85 84592.96279799407 86 84592.96279799407 87 84592.96279799407 88 84592.96279799407 89 84592.96279799407 90 84592.96279799407 91 84592.96279799407 92 84592.96279799407 93 84592.96279799407 94 84592.96279799407 95 84592.96279799407 Func = (((((x * (x + x)) + (3.0227743447403608 ^ x)) + 11.651070072928283) + (2.0782780619255736 ^ x)) + 21.516975944697798) 96 49313.1016601577 Func = (((((x * (x + (-2.5472995575326784))) + (3.0227743447403608 ^ x)) + 32.12833345693873) + (2.0782780619255736 ^ x)) + (x * x)) 97 42377.6827203764 98 42377.6827203764 99 42377.6827203764 Func = (((((x * (x + x)) + (3.0227743447403608 ^ x)) + 9.572791065650954) + (2.0782780619255736 ^ x)) + (x * x)) 100 26358.275721244667 Func = ((((35.53125252517408 + (3.0227743447403608 ^ x)) + ((((-20.291606123203444) + x) + 14.64432280143765) + (2.102455478564486 ^ x))) + (0.5819225718433412 ^ x)) + (x * x)) 101 16319.039579397642 102 16319.039579397642 Func = ((((33.169472467694604 + (3.0227743447403608 ^ x)) + (((x + (-8.553774629446082)) + 7.740255412327109) + (2.102455478564486 ^ x))) + (0.5819225718433412 ^ x)) + (x * x)) 103 16122.298784598543 Func = (((((0.5842237647120081 ^ x) + (3.0227743447403608 ^ x)) + (((x + 30.071577464649145) + (-3.3284630090326743)) + (2.102455478564486 ^ x))) + (0.7049311404210852 ^ x)) + (x * x)) 104 14103.92822465458 105 14103.92822465458 Func = (((((0.5842237647120081 ^ x) + (3.0227743447403608 ^ x)) + (27.446538076252672 + (2.102455478564486 ^ x))) + (1.4309491873218803 ^ x)) + (x * x)) 106 13353.392854350004 Func = (((((0.5842237647120081 ^ x) + (3.02236613191685 ^ x)) + 29.130680822095684) + (2.117062732354109 ^ x)) + (x * x)) 107 12893.035527854994 Func = (((((0.5842237647120081 ^ x) + (3.02236613191685 ^ x)) + 29.066737264614357) + (2.117062732354109 ^ x)) + (x * x)) 108 12892.613516338599 Func = (((((0.5842237647120081 ^ x) + (3.02236613191685 ^ x)) + 29.042851562588822) + (2.117062732354109 ^ x)) + (x * x)) 109 12892.541889072567 110 12892.541889072567 Func = ((((16.750621160238104 + (3.0227743447403608 ^ x)) + (7.503636572735155 + (2.102455478564486 ^ x))) + (0.5071286408113616 ^ (((x + (-14.945320397380394)) + 18.448719514146724) + (10.242673797961922 ^ x)))) + (((x + (0.7140500213643302 * x)) + (-4.200014532927048)) * x)) 111 4915.589085707631 112 4915.589085707631 Func = ((((18.122603413551655 + (3.0227743447403608 ^ x)) + (x + (2.102455478564486 ^ x))) + (0.419206670649769 ^ (((x + (-14.103961607922795)) + 19.87561556922841) + (2.8037774010362235 ^ x)))) + (((x + (0.989734085371968 * x)) + (-5.814072528223743)) * x)) 113 4277.327206687451 114 4277.327206687451 115 4277.327206687451 116 4277.327206687451 117 4277.327206687451 118 4277.327206687451 119 4277.327206687451 120 4277.327206687451 121 4277.327206687451 122 4277.327206687451 123 4277.327206687451 124 4277.327206687451 125 4277.327206687451 Func = ((((17.427496123215562 + (3.0227743447403608 ^ x)) + (x + (2.102455478564486 ^ x))) + (0.3862899084896809 ^ (((x + (-0.3476736269055336)) + 6.066900784062549) + (2.6271785332851953 ^ x)))) + (((x + x) + (-5.720443207026344)) * x)) 126 3967.6745201261324 127 3967.6745201261324 128 3967.6745201261324 Func = ((((13.581336509897604 + (3.0227743447403608 ^ x)) + (x + (2.102455478564486 ^ x))) + (0.7554158161317059 ^ (((x + x) + 6.69641553859699) + (1.539296427288483 ^ x)))) + (((x + (1.0832180337850685 * x)) + (-5.384372687306603)) * x)) 129 3798.2615350088813 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.9499533011678976) + (0.4708545768090151 ^ x)))) + (((x + x) + (-9.326484744189356)) * x)) 130 2513.3589425398936 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.9499533011678976) + (0.4708545768090151 ^ x)))) + (((x + x) + (-9.420645542804063)) * x)) 131 2394.624241166934 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.9499533011678976) + (0.4708545768090151 ^ x)))) + (((x + x) + (-9.961821564685302)) * x)) 132 2205.607840939216 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.9499533011678976) + (0.4708545768090151 ^ x)))) + (((x + x) + (-9.719032351082683)) * x)) 133 2186.448046364718 134 2186.448046364718 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.9499533011678976) + (0.4708545768090151 ^ x)))) + ((((2.311713757352109 + x) + x) + (-12.132705977779384)) * x)) 135 2173.889163528494 136 2173.889163528494 137 2173.889163528494 138 2173.889163528494 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.9499533011678976) + (0.4006053066135895 ^ x)))) + ((((2.311713757352109 + x) + x) + (-12.132705977779384)) * x)) 139 2167.433992943317 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.9539498261600645) + (0.4708545768090151 ^ x)))) + ((((2.311713757352109 + x) + x) + (-12.132705977779384)) * x)) 140 2145.2251165067555 141 2145.2251165067555 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.969702382856572) + (0.4708545768090151 ^ x)))) + ((((2.0963702261492507 + x) + x) + (-12.132705977779384)) * x)) 142 2064.365843867753 143 2064.365843867753 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-1.969702382856572) + (0.4708545768090151 ^ x)))) + ((((2.0963702261492507 + x) + x) + (-12.040621315298468)) * x)) 144 2051.3090391944284 145 2051.3090391944284 146 2051.3090391944284 147 2051.3090391944284 148 2051.3090391944284 149 2051.3090391944284 150 2051.3090391944284 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-2.002048457267678) + (0.4687847255773152 ^ x)))) + ((((1.9535667653163302 + x) + x) + (-12.040621315298468)) * x)) 151 1985.7270667698356 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-2.002048457267678) + (0.5050189120240571 ^ x)))) + ((((1.9535667653163302 + x) + x) + (-12.040621315298468)) * x)) 152 1978.5798128063502 153 1978.5798128063502 154 1978.5798128063502 155 1978.5798128063502 156 1978.5798128063502 Func = ((((3.0227743447403608 ^ x) + (x + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-2.002048457267678) + (0.5050189120240571 ^ x)))) + ((((1.9535667653163302 + x) + x) + (-12.071149723643902)) * x)) 157 1977.1396986913803 158 1977.1396986913803 159 1977.1396986913803 160 1977.1396986913803 161 1977.1396986913803 162 1977.1396986913803 163 1977.1396986913803 164 1977.1396986913803 165 1977.1396986913803 166 1977.1396986913803 167 1977.1396986913803 168 1977.1396986913803 169 1977.1396986913803 170 1977.1396986913803 171 1977.1396986913803 172 1977.1396986913803 173 1977.1396986913803 174 1977.1396986913803 175 1977.1396986913803 176 1977.1396986913803 177 1977.1396986913803 178 1977.1396986913803 179 1977.1396986913803 180 1977.1396986913803 181 1977.1396986913803 182 1977.1396986913803 183 1977.1396986913803 184 1977.1396986913803 185 1977.1396986913803 186 1977.1396986913803 187 1977.1396986913803 188 1977.1396986913803 189 1977.1396986913803 Func = ((((3.0227743447403608 ^ x) + ((-1.387739086674642) + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-2.002048457267678) + (0.5050189120240571 ^ x)))) + ((((3.9985371839798014 + x) + x) + (-13.12791374392654)) * x)) 190 1942.5950196857818 191 1942.5950196857818 192 1942.5950196857818 193 1942.5950196857818 Func = ((((3.0227743447403608 ^ x) + ((-1.0166651376810267) + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-2.002048457267678) + (0.5050189120240571 ^ x)))) + ((((3.9985371839798014 + x) + x) + (-13.12791374392654)) * x)) 194 1936.40726418591 195 1936.40726418591 196 1936.40726418591 197 1936.40726418591 198 1936.40726418591 Func = ((((3.0227743447403608 ^ x) + ((-12.239440411314542) + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-2.2335077015658515) + (0.5050189120240571 ^ x)))) + ((((0.7108684661206528 + x) + x) + (-11.765417190571963)) * x)) 199 1574.8350076402287 ((((3.0227743447403608 ^ x) + ((-12.239440411314542) + (2.102455478564486 ^ x))) + (0.13948571196849002 ^ ((-2.2335077015658515) + (0.5050189120240571 ^ x)))) + ((((0.7108684661206528 + x) + x) + (-11.765417190571963)) * x))