Henrywood and Agarwal, Equation (12)

Time bar (total: 8.3min)

analyze856.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 41 to 23 computations (43.9% saved)

sample8.3min (99.8%)

Results
3.8min460×0exit-sollya
93.0ms293×0invalid
71.0ms168×0valid
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(5.162275672229981e-145 2.9074233461862492e+253 3.0165912033921873e-61 2.4748683028300065e-61 8.207683361850594e+163)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(2.2373215080654955e-154 -1.8353396814439094e-182 8.372473131247067e+291 -4.732436507490738e-254 -5.0715576666498276e-306)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(1.096836531177314e-130 -3.4441056214468067e-107 -7.904786549709612e-293 -1.4027096127918443e-130 -6.580053145734378e+43)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-6.52967982980297e-173 -4.978792820156669e-45 -5.602514320154235e-234 2.7480983312180743e-67 1.086047748592779e-85)-9.073358409866171e+195(+nan.0 +nan.0)+nan.0validexit0500.0#f
(9.840295929751328e-207 -1.0276384681270953e+87 1.1471798504852916e+67 -2.4542731545146996e-188 -1.361469752799561e-31)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(2.0516211765463458e-22 -5.054970295885782e-225 -6.015378686136379e+244 1.6947986501237364e+49 6.865027569852769e-93)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(1.5091726276893173e-40 -6.782022317791336e-16 3.56573425826701e-253 3.2214531968478304e-24 4.5510935974777534e+57)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(7.344616406409614e+244 7.87984567208262e-130 2.3225546409981607e-185 -1.4402962652171798e-78 -4.971362537313239e+263)+inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(6.842331919102917e-249 -3.479102709288986e-18 -7.51668767510749e-107 4.934030095634763e-207 -2.1820994870989346e+230)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(7.665029705183526e-241 -1.8499191668342365e-151 -2.5409348758147227e+72 -6.07248064683785e+32 7.242451739466331e-24)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-4.114040187065945e-9 -4.376446279194466e+120 -4.35137794352835e-222 -3.191955046840819e-218 3.5059707138142455e+199)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-1.3149793083085512e-270 1.6091217136286526e+56 1.1724640708852843e-22 -5.307170824663751e-190 -3.181840929438427e-204)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(7.1817700058462465e-208 2.9619493492491364e-181 7.624010928829248e-179 1.8179632795795476e+178 2.3751621436911254e+60)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(3.5702797657515554e-97 -2.0899466821701254e-76 -3.183168851688911e-262 -5.362408545800499e+194 6.102090567008404e+41)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.5527744546338221e-285 -1.331755819575761e-235 2.0596377343957152e-162 -2.15984411504457e-256 -1.3642869033475834e+122)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.357969635481783e+210 -5.445344385456492e+105 -1.2741146941144238e+90 -1.1974891164341207e-167 6.966485414896267e-160)1.630320994401008e+112(+nan.0 +nan.0)+nan.0validexit0500.0#f
(4.915582986986995e-93 6.441782603789826e-203 1.9734544900639322e-142 8.701353623114558e-100 2.1422205206414872e+58)-2.5579928555437423e+121(+nan.0 +nan.0)+nan.0validexit0500.0#f
(4.0105686839299667e-228 -4.483085051707798e+47 -7.588300411146086e+111 2.6903888013025532e+147 6.141602574239099e-244)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-4.577963857118513e-259 6.787324155673954e+135 1.2795070551888279e+251 -9.393127982016725e+43 -2.1490158984397898e-288)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-2.1422634588357295e-253 -4.854613180731026e-238 3.743806620619324e-201 -1.5045997243990812e-13 3.535742854269958e+141)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(6.972753412780004e-81 -9.666597775762771e-218 -6.4508269978486265e+103 -2.2010928768658714e+56 1.168403716557762e-12)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(9.338861809438162e-263 3.6320118118852166e-209 -7.872409901392454e-235 -1.5736343905968876e+49 -9.734298127132336e-192)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.721186908795825e-295 -8.677525912104129e-169 -3.6582599395519316e+33 -3.584843894451111e-38 1.7530026239095835e+270)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(2.7034349109244518e+42 1.133982954994991e+167 1.9189862386685425e-171 -1.8946527116035149e-103 -3.945518972704559e+210)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(2.311141007414199e-167 -7.207478379996246e+125 2.6275463132528245e+68 1.8545120972905856e-172 -4.346466825712566e+147)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-7.524232157592581e-22 -9.26082697451728e-224 -1.7017448007479764e+233 -5.816238048361413e+46 1.72657294251386e+46)5.993632157917077e-27(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-5.990315686196274e-141 2.5235122185092465e+243 -1.2374747328843137e+176 0.06106747362030245 1.2222801099951562e-289)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-6.005710510871649e-5 -4.275966237545269e-236 1.8728626378954798e+231 5.790535153063252e+169 -2.1329681422736866e+235)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(8.464404662142215e-272 1.9650700040567186e+68 8.25613156828945e-13 1.2839370315519112e-74 -4.486253773931747e+270)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(1.1585388499794455e+177 9.334161528391022e+183 9.532412236139871e+80 7.635210200250891e+260 -1.6624527703018757e+47)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(2.3344019221208376e-269 -4.0242594450431857e-262 -6.856487602019633e+244 -5.413650696102203e-221 -5.663041626769164e-192)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(9.596740093654193e+216 2.8316829337741752e-275 21484938626940.49 -7.637121796121328e+183 4.6141006271527205e+75)+inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(8.82869119536172e+280 1.0101219220043817e+186 -9.493252254309933e-107 -4.507648169670627e-48 7.148027375768106e+110)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(6.622998786540483e-221 -8.770149254970967e+231 -1.7721719953777197e-301 7.183421211115298e-175 9.443250939301366e+264)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(0.08675590111243336 2.5265726673812855e-218 -2.8238143343562128e-46 8.549072916674568e+63 8.344966081575614e+89)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.264914794962867e-264 3.9687054237233977e-143 -2.8279518512687077e+28 7.084854430178195e+114 -8.713335628640188e+197)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.908859781795893e-111 -9.283544411042266e-136 -1.672677111461143e-63 4.1269702869531106e-107 -3.473424541537807e+60)-5.993122361526407e+44(+nan.0 +nan.0)+nan.0validexit0500.0#f
(1.0353453375851526e-7 -2.638268387281008e+133 -3.651485473724039e-183 -1.1691039649370322e-127 7.398824839623513e-37)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.043657014255104e+21 -3.277939411237336e-299 2.4834448806536536e+234 6.6990771816730155e-136 -1.0120353919126625e+254)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(6.02926388216699e-9 1.6559688150745344e+226 -1.279214338884662e+219 1.6406540548087937e-72 -5.776830224155295e-185)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-3.3594883843785393e+128 -9.864706242050052e-139 -3.6866055286445735e-67 -9.751334207897688e+33 -3.926580532254814e-158)5.5708020953871595e+230(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-1.734998720612813e-181 -1.1878495361711423e-303 1.549818604833162e-197 -2.3029558229141522e+252 -4.083809036716905e-147)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-5.452603632889003e-106 -1.0266133150334927e+193 -3.036811771957267e-207 5.714057370991088e+219 -7.383675128473137e-83)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(8.78865141589671e-173 -3.711298855989299e+226 1.0719150947797038e-204 -2.2501875998296882e-237 -1.1047102319427303e-305)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-4.297646545513611e+20 -5.3188374817470654e+272 -5.33906032059285e-242 1.1644670793346632e-230 2.5234548107295767e-122)80647.31641624503(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-1.4380322926261453e-202 2.990724636729096e+270 -1.0226142613256642e+58 5.766082333361816e+140 -1.4440993403056787e+158)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-4.205898077761499e-215 -5.17516083822658e-188 1.330652300126911e+296 1.9034053654773004e-59 1.4783099543289188e-295)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.2534227196605144e-9 -2.609308610708753e+129 -3.736518227746117e+281 1.3930344364910952e-90 -1.0397457615371357e-253)4.0142210702653855e-215(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-3.282642134933116e-194 3.035138062457986e-180 5.038096453970967e-197 1.9053490076403668e+205 2.4380961122968797e-231)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(5.98216953490825e-267 -1.1155044167561635e+154 1.991836549167812e-52 -7.624167864835061e+182 -4.537482745972093e-144)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(5.8176635079256176e+35 1.7810486230854798e+103 2.0838761157895605e+42 2.0159883078648537e-59 -1.606014273139118e-15)9.549370897192125e-38(+nan.0 +nan.0)+nan.0validexit0500.0#f
(1.3625009718438617e-86 1.7590699823965553e-177 -1.686502067507397e-88 4.558641305076784e+297 1.012030928191092e-298)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(1.8584034334669762e-164 -3317281.922118455 -1.956721158503766e+128 5.541927142983754e-222 -4.487599729076217e-59)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-3.772631987789781e-162 1.9119217033207968e+99 -2.554285355046277e-156 3.886391786116377e-198 3.4589181698609456e-120)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(1.4784276580125587e+111 3.849882288576783e+136 1.1285200136094222e+227 1.0883010073441534e+22 2.5404104757165726e+210)-3.344842047019749e+80(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-1.8610417612582503e-9 4.450464028679108e+198 -5.625570453494535e+266 1.0822108723306336e-145 1.6081633285578854e-31)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.6676177297698653e-241 5.878691949298374e-308 -3.4319576185097293e-223 -4.2760958574391763e+306 -3.740596927644114e-40)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.478245740713947e+151 -1.191806890586254e-245 3.56436112423601e+216 1.809818066561568e-165 2.540364092677201e+191)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-5.102261127696498e-253 5.1563889967217346e-101 -7.591325294786435e-277 1.0889314299091125e+89 4.422926447812399e-90)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(4.175234444195015e+273 -5.93517715403715e-138 3.67941461761418e-231 1.860414159300603e+245 7.1444796440409e-97)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.318020435460969e+101 1.8252931562612076e+100 -1.870357390048097e-235 5.452771658078565e-35 3.18962933260075e-272)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(8.370593640108106e-82 5.002453606697306e+101 -2.799749603166342e+227 -1.9464621108489736e-99 -1.984221524992037e-146)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.0535121993964286e+202 4.7987220120534815e-32 -1.0532435050132595e-253 1.0322361856003774e+34 5.168633383245233e-20)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.0928924754582971e+78 -5.704769257881457e+25 -2.3934064239871584e-96 2.8403616505226118e+256 1.361533763738888e+25)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-2.5453541902210108e-76 -2.220160304225988e+157 9.935731633791474e+102 -4.478991848161617e+79 -4.530111404528303e-248)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(2.4819982693141375e-27 4.343333765367927e-253 -8.498777697405024e+27 -6.71370742802579e+50 -3.20005590108965e+28)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.4079069606338234e-179 -8.961533268492814e+45 -3.914389673365653e+208 3.294159419840479e+264 -1.2275686548735397e+42)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-4.953883808670873e-14 2.004427262609092e+216 -2.466532112990922e+156 -1.1349900259222239e-41 -1.4529018908869785e+281)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(1.0024108067770155e-173 -1.9527745689753145e+144 4.3423386731441654e+196 -3.898778778875225e+149 -1.8161123083308177e-197)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(1.7431177115435564e-11 7.67740881756395e-295 1.0942789439115192e-182 -2.013677469287372e+171 9.57689775230825e-253)1.9017584771957597e+227(+nan.0 +nan.0)+nan.0validexit0500.0#f
(2.8701479041078447e-139 -7.204840393681774e+259 1.5556180104765897e+101 2.2257756943073927e+150 2.2782104332215588e+288)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(2.346759958407891e+202 -1.202076210680451e-81 -1.51451153180574e-276 -1.057732336271497e-215 2.8997355500940527e-258)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(1.2187295823691926e-128 -7.100613762791779e+27 2.7515310572485804e+195 2.4243872606232625e+259 2.6355021617475824e-52)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(5.727685847147142e-49 3.8009933518710287e+264 -1.638267741005094e+202 2.4835783120973893e-29 3.404546913706316e+213)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.882452459764067e-270 -2.0233580628591672e-44 19748768.888149265 -9.868490968038263e-296 1.0341906682235945e+163)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(8.980384494099958e+279 -2.6802983220448586e-33 1.0420150500742344e-127 -4.702670011365222e-221 -5.175586395681446e+294)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-1.7589047470786687e-215 -9.240998665855221e+150 -3.781644905637681e-37 2.686805634613339e+298 -1.65990533982714e-214)-inf.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-3.682743657192965e-202 -1.4767438145361766e+116 -1.1939056752715185e+176 1.417772720675447e-269 3.0254302459437855e-79)0.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
(-9.969242294677275e-158 1.2775024422370511e-208 4.9670686634441833e+179 1.961196161849081e+54 4.5092460789537044e+209)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(3.714058336330328e+47 -6.766483653663934e-301 -9.814027976292882e-151 -3.1187051526132374e-167 -1.440132878799628e+131)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-6.362210757190722e-196 2.474834149203058e-128 -5.5912499415775776e+290 -6.056070052321466e+247 -3.01747527287385e-83)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-7.591241809544092e-245 -6.669165992046225e-40 5.614930282917875e-167 -6.441206240600687e+42 8.669543927467387e-196)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
(-3.895786806247139e-86 -1.961848848447474e+228 -1.2025700310617335e+76 -7.728593421891255e-197 -3.8942805743948816e-16)2.5363385471470517e-238(+nan.0 +nan.0)+nan.0validexit0500.0#f
(1.412517580200061e-229 8.459924926767394e+126 4.579111899032538e+254 -6.871846449653681e-78 5.536253017121605e-293)0.0(+nan.0 +nan.0)+nan.0validexit0500.0#f
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(2.912024509931272e-158 -7.3318111275776e+194 -1.528319808212711e-176 -6.53643105403561e-246 4.3164423197587936e-302)#f(+nan.0 +nan.0)+nan.0invalidexit0500.0#f
Sollya timings
Total time spent in Sollya 3.8min

end0.0ms (0%)

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