* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 139 additional inputs, on iter 1 have 117 / 256 * * * * [misc]points: Computing exacts on every 8 of 139 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 139 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 139 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 139 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 81 additional inputs, on iter 2 have 175 / 256 * * * * [misc]points: Computing exacts on every 5 of 81 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 81 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 81 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 39 additional inputs, on iter 3 have 217 / 256 * * * * [misc]points: Computing exacts on every 2 of 39 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 39 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 4 have 236 / 256 * * * * [misc]points: Computing exacts for 20 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"all-alts":["#"],"best-fresh-alt-per-point":[[[1.3073288890631414e+280],0,58.529641140555356],[[3.2964836323184035e-155],0,0],[[9.475383647572687e+150],0,61.02619655241033],[[1.5628986347380075e+167],0,60.868850945294255],[[8.340556674905215e+77],0,61.57763774187394],[[7.077452111412406e-295],0,0],[[3.966194599780254e-223],0,0],[[3.7838902349270595e+124],0,61.25057815871968],[[4.700763524863875e+204],0,60.42234721152568],[[7.759258852634933e-78],0,0],[[20833.64667003459],0,17.92841427761316],[[2.4398615081868066e+205],0,60.41212451432838],[[2.3948670500504287e-261],0,0],[[6.2092037474963055e+231],0,59.98299437241097],[[2.3255349808732236e+289],0,57.94664261784574],[[6.413626161349299e-227],0,0],[[560488966.1174189],0,32.65160571117846],[[2.0882744776400718e-286],0,0],[[1.751208589172235e-52],0,0],[[2.9688880181416084],0,0],[[3.981491076325477e+229],0,60.023579962314685],[[1.6703871447091801e-184],0,0],[[3.294798454877577e-109],0,0],[[5.873882793788073e+304],0,55.39154469230018],[[1.9827401749271262e+183],0,60.6937361776979],[[2.468160393597418e+16],0,61.91954826971087],[[2.339761031458555e-169],0,0],[[3.943485742551043e+214],0,60.27655581975],[[8.23935440322281e-255],0,0],[[1.2414218620136766e+210],0,60.34455910523372],[[4.2958727261014584e+36],0,61.815763821086485],[[6.328184874755262e+301],0,56.347281953188435],[[1.7255846811749406e-291],0,0],[[9.723806270790304e+261],0,59.25379228666503],[[3.669186107808967e-292],0,0],[[1.4160598314001593e+222],0,60.15492475949343],[[7.17939675829627e-158],0,0],[[5.706174991628051e-294],0,0],[[1.6543220134558954e+211],0,60.327650779783525],[[1.0871440614151498e+289],0,57.9725278936414],[[4.876905254991102e+285],0,58.2085060158621],[[1.2894750780678564e+300],0,56.702585861190826],[[1.4618355052890434e+227],0,60.067684034070616],[[3.043685036732137e-200],0,0],[[1.4920285944075702e-53],0,0],[[7.628653541085044e+123],0,61.25594081430299],[[4.493452818771822e-125],0,0],[[1.4342996382753786e-68],0,0],[[1.0963301159009184e-183],0,0],[[3.231394614843413e+95],0,61.46281414572791],[[8.895467702359268e-17],0,0],[[7.084339583278926e+216],0,60.241063818088925],[[3.879381526714617e+231],0,59.98641542536097],[[1.1166277726761266e+39],0,61.80287007182386],[[1.8687286825225081e+205],0,60.41393999474231],[[2.8321391439452527e-177],0,0],[[1.0865881933967427e-239],0,0],[[1.0321884324238089e-204],0,0],[[2.194953362823915e+177],0,60.761039789297996],[[1.3687884379108643e+17],0,61.915958331796745],[[3.468363920687483e-275],0,0],[[9.235058182301351e-298],0,0],[[1.3508330812519037e-42],0,0],[[3.258549790458107e-45],0,0],[[2.1316535898912934e-76],0,0],[[2.2420303907903802e-68],0,0],[[5.776745162887772e-81],0,0],[[2.3939618552975763e+242],0,59.76674502879628],[[3.161587187966589e+82],0,61.548668168549135],[[3.2633957345317127e+251],0,59.55000892009593],[[2.0474783165414538e-126],0,0],[[5.5609724703152094e-123],0,0],[[4.871284163370267e-185],0,0],[[1.9117791443554203e-134],0,0],[[788647938.445347],0,32.14572444747508],[[7.4751406322111975e-208],0,0],[[7.348751680152543e-306],0,0],[[5.656765710936691e-76],0,0],[[1.961831527193424e-60],0,0],[[7.655606647706524e-307],0,0],[[1.027405627074826e+260],0,59.314671341399446],[[9.383817895669287e-283],0,0],[[3.611278323934413e-94],0,0],[[1.6564415223201099e+136],0,61.15584065508864],[[1.4448618247603424e-257],0,0],[[3.706054342154294e-129],0,0],[[7.195448856340728e-141],0,0],[[3384824.3314616154],0,24.360054169382575],[[2.6544319953421338e+293],0,57.59105174099013],[[1.1509772202461854e+130],0,61.20683653811823],[[7.876423561266471e+22],0,61.88709657652601],[[2.809919074811328e-300],0,0],[[2.1859104172563636e-264],0,0],[[9.260475542482052e+299],0,56.724996533169055],[[8.359355849775862e-16],0,1.0],[[1.3310146389530143e+163],0,60.91013787206607],[[4.6811315760090616e-144],0,0],[[2.043780925156358e+88],0,61.51087756856499],[[1.046624167704608e-163],0,0],[[3.4631943627882644e+200],0,60.4788431994597],[[4.648142651511719e+239],0,59.8252335310792],[[5.903833024524204e-224],0,0],[[6.75061600976492e-09],0,0],[[4.0526523047213233e+244],0,59.71663338042422],[[1.5043274345617834e+228],0,60.04989126551315],[[9.861253466270416e+140],0,61.11516264576948],[[6.509917256919526e-155],0,0],[[2.0740305822111617e-302],0,0],[[2.156659933698441e+65],0,61.65455234259929],[[5.582278109308679e-72],0,0],[[1.329109205730971e+18],0,61.91099474785589],[[2.480190476546545e-246],0,0],[[7.542398567020551e-205],0,0],[[3.211003609332114e-292],0,0],[[4.607613593823294e-213],0,0],[[1.705817703400908e+63],0,61.6669860511725],[[2.0974429565133816e-215],0,0],[[8.530068169212586e+207],0,60.37592741671668],[[2.905639146095198e+214],0,60.278370532653284],[[3.554023312793441e+160],0,60.93540768277144],[[1.51646550817889e-257],0,0],[[9.88160538195634e+236],0,59.88048618592213],[[2.3719183352628996e+212],0,60.310246085210004],[[1.1988791635038015e-56],0,0],[[3.50550012204851e-33],0,0],[[1.708686197016133e+79],0,61.56935214992741],[[1.0057242501199301e-254],0,0],[[1.099315532911349e-23],0,0],[[1.4540832115601766e+80],0,61.56344582999692],[[3.224104279734413e-128],0,0],[[3.8655618297451507e+264],0,59.17035259749217],[[6.029252458259788e+248],0,59.618270762356374],[[2.45682697544046e-235],0,0],[[4.65318267035879e+212],0,60.30581990275461],[[1.7198556401156944e+40],0,61.79647166005875],[[5.394314721089183e-302],0,0],[[3.6553350706241625e-209],0,0],[[5.073224629669749e-209],0,0],[[2.2777945340735493e-276],0,0],[[1.6219172946297815e+205],0,60.41463098112954],[[2.5842129352573833e+157],0,60.96596482553775],[[2.03476018732095e+119],0,61.2913694977838],[[2.3993845233584173e-107],0,0],[[6.8367221822693645e+171],0,60.820595507578304],[[3.637969744290734e+272],0,58.8763575735291],[[3.6070289902878433e-298],0,0],[[2.4220868488775713e+174],0,60.79322558556343],[[1.4680641340515712e+37],0,61.81289716803385],[[2.130535351053153e+251],0,59.55516711299784],[[9.732025433837372e-298],0,0],[[4.3186153363237085e+196],0,60.53033182088258],[[4.717376995390811e-229],0,0],[[7.890896542811938e+189],0,60.615185553702545],[[1.921602658997656e+224],0,60.11855830462994],[[7.317333208039203e-135],0,0],[[6.639161457381533e+272],0,58.86579072213555],[[7.51766164914667e-83],0,0],[[1.2494134226790036e-90],0,0],[[5.2370439997769816e-251],0,0],[[2.29835853317011e+39],0,61.80119817079009],[[3.8297412694520027e-72],0,0],[[9.751429336071956e-111],0,0],[[3.4632829335752192e-251],0,0],[[1.8598894186132259e+137],0,61.14720604362374],[[2.9019277223709396e-286],0,0],[[5.463725192370479e+166],0,60.87368792470018],[[1.2810755089251013e+75],0,61.59509388153502],[[9.138814505421974e-66],0,0],[[2.6556986431700894e-172],0,0],[[3.515792627928699e+199],0,60.49220807117476],[[9.597291263463799e+33],0,61.82985278393179],[[1.8150897130550793e+234],0,59.93517527947961],[[3.165542051316829e+57],0,61.70041014758432],[[1.579252672267158e+84],0,61.537665157333116],[[1.1209809220161085e-271],0,0],[[2.34479875841816e+59],0,61.689497134122604],[[5.702786507831075e+76],0,61.58499109844369],[[8.045725952292009e+27],0,61.86144506022673],[[7.810899588463585e-172],0,0],[[9.291488452698296e+167],0,60.86113479453196],[[3.7649062113016876e-174],0,0],[[3.247555001847955e-09],0,1.0],[[9.099484178294087e-276],0,0],[[1.2224178423718919e+201],0,60.4716828706493],[[3.264541092685341e+28],0,61.8583128165324],[[9.725416649719138e+252],0,59.51181361023932],[[6.950896233858705e-22],0,0],[[4.4532169971988716e-248],0,0],[[1.1685596793963991e+198],0,60.5118455217454],[[3.272100701705269e+216],0,60.246434980351],[[7.435874100938545e+127],0,61.22440027098755],[[1.7367008233662004e-146],0,0],[[3.241242127032787e+189],0,60.619760106047856],[[1.710179159392655e-230],0,0],[[1.7761334469972786e+272],0,58.88902198269435],[[1.2314425699492343e+144],0,61.088172125161186],[[1.7931450786375e+207],0,60.3855706319768],[[6.7889504343027e+141],0,61.107991717977015],[[3.717688415206528e-63],0,0],[[4.2329024975964494e-120],0,0],[[1.5110472870035968e-137],0,0],[[1.6394729264619353e-305],0,0],[[1.273007442525311e+205],0,60.41606387211292],[[9.790032000289722e-170],0,0],[[1.748601585802626e+143],0,61.09570241408977],[[6.1586742802359446e+280],0,58.494718951623064],[[1.4196179692273589e+51],0,61.736493617445255],[[2.0434027565243845e+254],0,59.4769335572755],[[15210.1761529531],0,14.27903013644965],[[3.865070822820752e-125],0,0],[[4.405711435557941e-18],0,0],[[6.86860201817031e+37],0,61.809347785954124],[[2.9793076670648235e+135],0,61.1622697100502],[[3.4461982003189476e-271],0,0],[[4.994366090310223e+293],0,57.56312086343785],[[2.9675638609500463e-266],0,0],[[8.497595544438243e+196],0,60.526535801454294],[[3.7184381896827443e-109],0,0],[[9.342278142177427e-261],0,0],[[1.5030419663802974e-174],0,0],[[0.18720893918478226],0,0],[[8.713457448965708e+55],0,61.70930030726893],[[1.3423233293291483e-162],0,0],[[1.7094985902294833e-299],0,0],[[6.443766269775323e+116],0,61.31051444631481],[[1.2878875837081438e-81],0,0],[[3.802507995980374e-176],0,0],[[1.2952736416079913e-172],0,0],[[2.220662619570457e+252],0,59.528655385627815],[[3.61050150366864e+208],0,60.36692628108522],[[9.426838129136436e+163],0,60.90153593006439],[[4.678580995434083e-146],0,0],[[2.6773769570729964e-91],0,0],[[1.0258897434193047e+31],0,61.84545407015296],[[3.867922064222235e-78],0,0],[[6.811775981980025e+18],0,61.90742254148345],[[1.4782394318457476e-109],0,0],[[6.125036550218122e+186],0,60.6525608976801],[[2.738458460650558e+50],0,61.740398489602285],[[1.2054688632397534e+33],0,61.83459243513939],[[1.692419472494387e-152],0,0],[[3.496596375732988e-212],0,0],[[7.5963065745174464e-06],0,0],[[1.6348045764158446e-257],0,0],[[4.821955799677156e-289],0,0],[[1.7483065599934842e+85],0,61.53094834296597],[[0.060556571647326925],0,0],[[1.8480052807692756e-77],0,0],[[8.452451609890028e+85],0,61.526442398287315],[[3.450903835999846e-213],0,0],[[4.495110039324184e-82],0,0],[[2.229461735274287e-223],0,0],[[5.741222418922647e-41],0,0],[[7.0181404927126106e+305],0,54.807475270839404],[[3.6484688752466967e-69],0,0],[[5.094611782176626e-183],0,0]],"fresh-alts":["#"],"picked-error":28.81070142554136,"best-alt-per-point":[[[1.3073288890631414e+280],0,58.529641140555356],[[3.2964836323184035e-155],0,0],[[9.475383647572687e+150],0,61.02619655241033],[[1.5628986347380075e+167],0,60.868850945294255],[[8.340556674905215e+77],0,61.57763774187394],[[7.077452111412406e-295],0,0],[[3.966194599780254e-223],0,0],[[3.7838902349270595e+124],0,61.25057815871968],[[4.700763524863875e+204],0,60.42234721152568],[[7.759258852634933e-78],0,0],[[20833.64667003459],0,17.92841427761316],[[2.4398615081868066e+205],0,60.41212451432838],[[2.3948670500504287e-261],0,0],[[6.2092037474963055e+231],0,59.98299437241097],[[2.3255349808732236e+289],0,57.94664261784574],[[6.413626161349299e-227],0,0],[[560488966.1174189],0,32.65160571117846],[[2.0882744776400718e-286],0,0],[[1.751208589172235e-52],0,0],[[2.9688880181416084],0,0],[[3.981491076325477e+229],0,60.023579962314685],[[1.6703871447091801e-184],0,0],[[3.294798454877577e-109],0,0],[[5.873882793788073e+304],0,55.39154469230018],[[1.9827401749271262e+183],0,60.6937361776979],[[2.468160393597418e+16],0,61.91954826971087],[[2.339761031458555e-169],0,0],[[3.943485742551043e+214],0,60.27655581975],[[8.23935440322281e-255],0,0],[[1.2414218620136766e+210],0,60.34455910523372],[[4.2958727261014584e+36],0,61.815763821086485],[[6.328184874755262e+301],0,56.347281953188435],[[1.7255846811749406e-291],0,0],[[9.723806270790304e+261],0,59.25379228666503],[[3.669186107808967e-292],0,0],[[1.4160598314001593e+222],0,60.15492475949343],[[7.17939675829627e-158],0,0],[[5.706174991628051e-294],0,0],[[1.6543220134558954e+211],0,60.327650779783525],[[1.0871440614151498e+289],0,57.9725278936414],[[4.876905254991102e+285],0,58.2085060158621],[[1.2894750780678564e+300],0,56.702585861190826],[[1.4618355052890434e+227],0,60.067684034070616],[[3.043685036732137e-200],0,0],[[1.4920285944075702e-53],0,0],[[7.628653541085044e+123],0,61.25594081430299],[[4.493452818771822e-125],0,0],[[1.4342996382753786e-68],0,0],[[1.0963301159009184e-183],0,0],[[3.231394614843413e+95],0,61.46281414572791],[[8.895467702359268e-17],0,0],[[7.084339583278926e+216],0,60.241063818088925],[[3.879381526714617e+231],0,59.98641542536097],[[1.1166277726761266e+39],0,61.80287007182386],[[1.8687286825225081e+205],0,60.41393999474231],[[2.8321391439452527e-177],0,0],[[1.0865881933967427e-239],0,0],[[1.0321884324238089e-204],0,0],[[2.194953362823915e+177],0,60.761039789297996],[[1.3687884379108643e+17],0,61.915958331796745],[[3.468363920687483e-275],0,0],[[9.235058182301351e-298],0,0],[[1.3508330812519037e-42],0,0],[[3.258549790458107e-45],0,0],[[2.1316535898912934e-76],0,0],[[2.2420303907903802e-68],0,0],[[5.776745162887772e-81],0,0],[[2.3939618552975763e+242],0,59.76674502879628],[[3.161587187966589e+82],0,61.548668168549135],[[3.2633957345317127e+251],0,59.55000892009593],[[2.0474783165414538e-126],0,0],[[5.5609724703152094e-123],0,0],[[4.871284163370267e-185],0,0],[[1.9117791443554203e-134],0,0],[[788647938.445347],0,32.14572444747508],[[7.4751406322111975e-208],0,0],[[7.348751680152543e-306],0,0],[[5.656765710936691e-76],0,0],[[1.961831527193424e-60],0,0],[[7.655606647706524e-307],0,0],[[1.027405627074826e+260],0,59.314671341399446],[[9.383817895669287e-283],0,0],[[3.611278323934413e-94],0,0],[[1.6564415223201099e+136],0,61.15584065508864],[[1.4448618247603424e-257],0,0],[[3.706054342154294e-129],0,0],[[7.195448856340728e-141],0,0],[[3384824.3314616154],0,24.360054169382575],[[2.6544319953421338e+293],0,57.59105174099013],[[1.1509772202461854e+130],0,61.20683653811823],[[7.876423561266471e+22],0,61.88709657652601],[[2.809919074811328e-300],0,0],[[2.1859104172563636e-264],0,0],[[9.260475542482052e+299],0,56.724996533169055],[[8.359355849775862e-16],0,1.0],[[1.3310146389530143e+163],0,60.91013787206607],[[4.6811315760090616e-144],0,0],[[2.043780925156358e+88],0,61.51087756856499],[[1.046624167704608e-163],0,0],[[3.4631943627882644e+200],0,60.4788431994597],[[4.648142651511719e+239],0,59.8252335310792],[[5.903833024524204e-224],0,0],[[6.75061600976492e-09],0,0],[[4.0526523047213233e+244],0,59.71663338042422],[[1.5043274345617834e+228],0,60.04989126551315],[[9.861253466270416e+140],0,61.11516264576948],[[6.509917256919526e-155],0,0],[[2.0740305822111617e-302],0,0],[[2.156659933698441e+65],0,61.65455234259929],[[5.582278109308679e-72],0,0],[[1.329109205730971e+18],0,61.91099474785589],[[2.480190476546545e-246],0,0],[[7.542398567020551e-205],0,0],[[3.211003609332114e-292],0,0],[[4.607613593823294e-213],0,0],[[1.705817703400908e+63],0,61.6669860511725],[[2.0974429565133816e-215],0,0],[[8.530068169212586e+207],0,60.37592741671668],[[2.905639146095198e+214],0,60.278370532653284],[[3.554023312793441e+160],0,60.93540768277144],[[1.51646550817889e-257],0,0],[[9.88160538195634e+236],0,59.88048618592213],[[2.3719183352628996e+212],0,60.310246085210004],[[1.1988791635038015e-56],0,0],[[3.50550012204851e-33],0,0],[[1.708686197016133e+79],0,61.56935214992741],[[1.0057242501199301e-254],0,0],[[1.099315532911349e-23],0,0],[[1.4540832115601766e+80],0,61.56344582999692],[[3.224104279734413e-128],0,0],[[3.8655618297451507e+264],0,59.17035259749217],[[6.029252458259788e+248],0,59.618270762356374],[[2.45682697544046e-235],0,0],[[4.65318267035879e+212],0,60.30581990275461],[[1.7198556401156944e+40],0,61.79647166005875],[[5.394314721089183e-302],0,0],[[3.6553350706241625e-209],0,0],[[5.073224629669749e-209],0,0],[[2.2777945340735493e-276],0,0],[[1.6219172946297815e+205],0,60.41463098112954],[[2.5842129352573833e+157],0,60.96596482553775],[[2.03476018732095e+119],0,61.2913694977838],[[2.3993845233584173e-107],0,0],[[6.8367221822693645e+171],0,60.820595507578304],[[3.637969744290734e+272],0,58.8763575735291],[[3.6070289902878433e-298],0,0],[[2.4220868488775713e+174],0,60.79322558556343],[[1.4680641340515712e+37],0,61.81289716803385],[[2.130535351053153e+251],0,59.55516711299784],[[9.732025433837372e-298],0,0],[[4.3186153363237085e+196],0,60.53033182088258],[[4.717376995390811e-229],0,0],[[7.890896542811938e+189],0,60.615185553702545],[[1.921602658997656e+224],0,60.11855830462994],[[7.317333208039203e-135],0,0],[[6.639161457381533e+272],0,58.86579072213555],[[7.51766164914667e-83],0,0],[[1.2494134226790036e-90],0,0],[[5.2370439997769816e-251],0,0],[[2.29835853317011e+39],0,61.80119817079009],[[3.8297412694520027e-72],0,0],[[9.751429336071956e-111],0,0],[[3.4632829335752192e-251],0,0],[[1.8598894186132259e+137],0,61.14720604362374],[[2.9019277223709396e-286],0,0],[[5.463725192370479e+166],0,60.87368792470018],[[1.2810755089251013e+75],0,61.59509388153502],[[9.138814505421974e-66],0,0],[[2.6556986431700894e-172],0,0],[[3.515792627928699e+199],0,60.49220807117476],[[9.597291263463799e+33],0,61.82985278393179],[[1.8150897130550793e+234],0,59.93517527947961],[[3.165542051316829e+57],0,61.70041014758432],[[1.579252672267158e+84],0,61.537665157333116],[[1.1209809220161085e-271],0,0],[[2.34479875841816e+59],0,61.689497134122604],[[5.702786507831075e+76],0,61.58499109844369],[[8.045725952292009e+27],0,61.86144506022673],[[7.810899588463585e-172],0,0],[[9.291488452698296e+167],0,60.86113479453196],[[3.7649062113016876e-174],0,0],[[3.247555001847955e-09],0,1.0],[[9.099484178294087e-276],0,0],[[1.2224178423718919e+201],0,60.4716828706493],[[3.264541092685341e+28],0,61.8583128165324],[[9.725416649719138e+252],0,59.51181361023932],[[6.950896233858705e-22],0,0],[[4.4532169971988716e-248],0,0],[[1.1685596793963991e+198],0,60.5118455217454],[[3.272100701705269e+216],0,60.246434980351],[[7.435874100938545e+127],0,61.22440027098755],[[1.7367008233662004e-146],0,0],[[3.241242127032787e+189],0,60.619760106047856],[[1.710179159392655e-230],0,0],[[1.7761334469972786e+272],0,58.88902198269435],[[1.2314425699492343e+144],0,61.088172125161186],[[1.7931450786375e+207],0,60.3855706319768],[[6.7889504343027e+141],0,61.107991717977015],[[3.717688415206528e-63],0,0],[[4.2329024975964494e-120],0,0],[[1.5110472870035968e-137],0,0],[[1.6394729264619353e-305],0,0],[[1.273007442525311e+205],0,60.41606387211292],[[9.790032000289722e-170],0,0],[[1.748601585802626e+143],0,61.09570241408977],[[6.1586742802359446e+280],0,58.494718951623064],[[1.4196179692273589e+51],0,61.736493617445255],[[2.0434027565243845e+254],0,59.4769335572755],[[15210.1761529531],0,14.27903013644965],[[3.865070822820752e-125],0,0],[[4.405711435557941e-18],0,0],[[6.86860201817031e+37],0,61.809347785954124],[[2.9793076670648235e+135],0,61.1622697100502],[[3.4461982003189476e-271],0,0],[[4.994366090310223e+293],0,57.56312086343785],[[2.9675638609500463e-266],0,0],[[8.497595544438243e+196],0,60.526535801454294],[[3.7184381896827443e-109],0,0],[[9.342278142177427e-261],0,0],[[1.5030419663802974e-174],0,0],[[0.18720893918478226],0,0],[[8.713457448965708e+55],0,61.70930030726893],[[1.3423233293291483e-162],0,0],[[1.7094985902294833e-299],0,0],[[6.443766269775323e+116],0,61.31051444631481],[[1.2878875837081438e-81],0,0],[[3.802507995980374e-176],0,0],[[1.2952736416079913e-172],0,0],[[2.220662619570457e+252],0,59.528655385627815],[[3.61050150366864e+208],0,60.36692628108522],[[9.426838129136436e+163],0,60.90153593006439],[[4.678580995434083e-146],0,0],[[2.6773769570729964e-91],0,0],[[1.0258897434193047e+31],0,61.84545407015296],[[3.867922064222235e-78],0,0],[[6.811775981980025e+18],0,61.90742254148345],[[1.4782394318457476e-109],0,0],[[6.125036550218122e+186],0,60.6525608976801],[[2.738458460650558e+50],0,61.740398489602285],[[1.2054688632397534e+33],0,61.83459243513939],[[1.692419472494387e-152],0,0],[[3.496596375732988e-212],0,0],[[7.5963065745174464e-06],0,0],[[1.6348045764158446e-257],0,0],[[4.821955799677156e-289],0,0],[[1.7483065599934842e+85],0,61.53094834296597],[[0.060556571647326925],0,0],[[1.8480052807692756e-77],0,0],[[8.452451609890028e+85],0,61.526442398287315],[[3.450903835999846e-213],0,0],[[4.495110039324184e-82],0,0],[[2.229461735274287e-223],0,0],[[5.741222418922647e-41],0,0],[[7.0181404927126106e+305],0,54.807475270839404],[[3.6484688752466967e-69],0,0],[[5.094611782176626e-183],0,0]],"picked":"(λ (N) (- (log (+ N 1)) (log N)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (* 1/2 (pow N 2)) (log N))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * [exit]simplify: Simplified to (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ (pow N 3) 1)) * [exit]simplify: Simplified to (log (+ (pow N 3) 1)) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [exit]simplify: Simplified to (/ (+ N 1) N) * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (log (- (log (+ N 1)) (log N))) * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (/ 1 N) 1) * [exit]simplify: Simplified to (+ (/ 1 N) 1) * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * [enter]simplify: Simplifying (cbrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (cbrt (- (log (+ N 1)) (log N))) * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (pow (- (log (+ N 1)) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log (+ N 1)) (log N)) 3) * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (+ N 1)) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (pow (log (+ N 1)) 3) (* (* (log N) (log N)) (- (log N)))) * [exit]simplify: Simplified to (+ (pow (log (+ N 1)) 3) (* (* (log N) (log N)) (- (log N)))) * [enter]simplify: Simplifying (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (+ (* (+ (log (+ N 1)) (log N)) (log (+ N 1))) (* (log N) (log N))) * [exit]simplify: Simplified to (+ (* (+ (log (+ N 1)) (log N)) (log (+ N 1))) (* (log N) (log N))) * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) * [enter]simplify: Simplifying (+ (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (log N) (log (+ N 1))) * [exit]simplify: Simplified to (+ (log N) (log (+ N 1))) * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ N 1)))) * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (log (+ N 1))) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log (+ N 1))) (sqrt (log N))) * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ N 1))) (log N)) * [exit]simplify: Simplified to (- (log (cbrt (+ N 1))) (log N)) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ N 1))) (log N)) * [exit]simplify: Simplified to (- (log (sqrt (+ N 1))) (log N)) * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (+ (log N) (log (- (* N N) (- N 1)))) * [exit]simplify: Simplified to (+ (log N) (log (- (* N N) (- N 1)))) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log N) (log (- N 1))) * [exit]simplify: Simplified to (+ (log N) (log (- N 1))) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (+ (- N (log N)) (* (- (* 1/3 N) 1/2) (* N N))) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ 1/2 (* N N))) * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 N) 0) (/ (/ 1/2 N) N)) 0) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (* 1/2 (pow N 2)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* N (* 1/2 N))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"all-alts":["#","#","#"],"best-fresh-alt-per-point":[[[1.3073288890631414e+280],1,0],[[3.2964836323184035e-155],0,0],[[9.475383647572687e+150],1,0],[[1.5628986347380075e+167],1,0],[[8.340556674905215e+77],1,0],[[7.077452111412406e-295],0,0],[[3.966194599780254e-223],0,0],[[3.7838902349270595e+124],1,0],[[4.700763524863875e+204],1,0],[[7.759258852634933e-78],0,0],[[20833.64667003459],1,7.622051819456376],[[2.4398615081868066e+205],1,0],[[2.3948670500504287e-261],0,0],[[6.2092037474963055e+231],1,0],[[2.3255349808732236e+289],1,0],[[6.413626161349299e-227],0,0],[[560488966.1174189],1,0],[[2.0882744776400718e-286],0,0],[[1.751208589172235e-52],0,0],[[2.9688880181416084],2,0],[[3.981491076325477e+229],1,0],[[1.6703871447091801e-184],0,0],[[3.294798454877577e-109],0,0],[[5.873882793788073e+304],1,0],[[1.9827401749271262e+183],1,0],[[2.468160393597418e+16],1,0],[[2.339761031458555e-169],0,0],[[3.943485742551043e+214],1,0],[[8.23935440322281e-255],0,0],[[1.2414218620136766e+210],1,0],[[4.2958727261014584e+36],1,0],[[6.328184874755262e+301],1,0],[[1.7255846811749406e-291],0,0],[[9.723806270790304e+261],1,0],[[3.669186107808967e-292],0,0],[[1.4160598314001593e+222],1,0],[[7.17939675829627e-158],0,0],[[5.706174991628051e-294],0,0],[[1.6543220134558954e+211],1,0],[[1.0871440614151498e+289],1,0],[[4.876905254991102e+285],1,0],[[1.2894750780678564e+300],1,0],[[1.4618355052890434e+227],1,0],[[3.043685036732137e-200],0,0],[[1.4920285944075702e-53],0,0],[[7.628653541085044e+123],1,0],[[4.493452818771822e-125],0,0],[[1.4342996382753786e-68],0,0],[[1.0963301159009184e-183],0,0],[[3.231394614843413e+95],1,0],[[8.895467702359268e-17],0,0],[[7.084339583278926e+216],1,0],[[3.879381526714617e+231],1,0],[[1.1166277726761266e+39],1,0],[[1.8687286825225081e+205],1,0],[[2.8321391439452527e-177],0,0],[[1.0865881933967427e-239],0,0],[[1.0321884324238089e-204],0,0],[[2.194953362823915e+177],1,0],[[1.3687884379108643e+17],1,0],[[3.468363920687483e-275],0,0],[[9.235058182301351e-298],0,0],[[1.3508330812519037e-42],0,0],[[3.258549790458107e-45],0,0],[[2.1316535898912934e-76],0,0],[[2.2420303907903802e-68],0,0],[[5.776745162887772e-81],0,0],[[2.3939618552975763e+242],1,0],[[3.161587187966589e+82],1,0],[[3.2633957345317127e+251],1,0],[[2.0474783165414538e-126],0,0],[[5.5609724703152094e-123],0,0],[[4.871284163370267e-185],0,0],[[1.9117791443554203e-134],0,0],[[788647938.445347],1,0],[[7.4751406322111975e-208],0,0],[[7.348751680152543e-306],0,0],[[5.656765710936691e-76],0,0],[[1.961831527193424e-60],0,0],[[7.655606647706524e-307],0,0],[[1.027405627074826e+260],1,0],[[9.383817895669287e-283],0,0],[[3.611278323934413e-94],0,0],[[1.6564415223201099e+136],1,0],[[1.4448618247603424e-257],0,0],[[3.706054342154294e-129],0,0],[[7.195448856340728e-141],0,0],[[3384824.3314616154],1,0],[[2.6544319953421338e+293],1,0],[[1.1509772202461854e+130],1,0],[[7.876423561266471e+22],1,0],[[2.809919074811328e-300],0,0],[[2.1859104172563636e-264],0,0],[[9.260475542482052e+299],1,0],[[8.359355849775862e-16],0,0],[[1.3310146389530143e+163],1,0],[[4.6811315760090616e-144],0,0],[[2.043780925156358e+88],1,0],[[1.046624167704608e-163],0,0],[[3.4631943627882644e+200],1,0],[[4.648142651511719e+239],1,0],[[5.903833024524204e-224],0,0],[[6.75061600976492e-09],0,0],[[4.0526523047213233e+244],1,0],[[1.5043274345617834e+228],1,0],[[9.861253466270416e+140],1,0],[[6.509917256919526e-155],0,0],[[2.0740305822111617e-302],0,0],[[2.156659933698441e+65],1,0],[[5.582278109308679e-72],0,0],[[1.329109205730971e+18],1,0],[[2.480190476546545e-246],0,0],[[7.542398567020551e-205],0,0],[[3.211003609332114e-292],0,0],[[4.607613593823294e-213],0,0],[[1.705817703400908e+63],1,0],[[2.0974429565133816e-215],0,0],[[8.530068169212586e+207],1,0],[[2.905639146095198e+214],1,0],[[3.554023312793441e+160],1,0],[[1.51646550817889e-257],0,0],[[9.88160538195634e+236],1,0],[[2.3719183352628996e+212],1,0],[[1.1988791635038015e-56],0,0],[[3.50550012204851e-33],0,0],[[1.708686197016133e+79],1,0],[[1.0057242501199301e-254],0,0],[[1.099315532911349e-23],0,0],[[1.4540832115601766e+80],1,0],[[3.224104279734413e-128],0,0],[[3.8655618297451507e+264],1,0],[[6.029252458259788e+248],1,0],[[2.45682697544046e-235],0,0],[[4.65318267035879e+212],1,0],[[1.7198556401156944e+40],1,0],[[5.394314721089183e-302],0,0],[[3.6553350706241625e-209],0,0],[[5.073224629669749e-209],0,0],[[2.2777945340735493e-276],0,0],[[1.6219172946297815e+205],1,0],[[2.5842129352573833e+157],1,0],[[2.03476018732095e+119],1,0],[[2.3993845233584173e-107],0,0],[[6.8367221822693645e+171],1,0],[[3.637969744290734e+272],1,0],[[3.6070289902878433e-298],0,0],[[2.4220868488775713e+174],1,0],[[1.4680641340515712e+37],1,0],[[2.130535351053153e+251],1,0],[[9.732025433837372e-298],0,0],[[4.3186153363237085e+196],1,0],[[4.717376995390811e-229],0,0],[[7.890896542811938e+189],1,0],[[1.921602658997656e+224],1,0],[[7.317333208039203e-135],0,0],[[6.639161457381533e+272],1,0],[[7.51766164914667e-83],0,0],[[1.2494134226790036e-90],0,0],[[5.2370439997769816e-251],0,0],[[2.29835853317011e+39],1,0],[[3.8297412694520027e-72],0,0],[[9.751429336071956e-111],0,0],[[3.4632829335752192e-251],0,0],[[1.8598894186132259e+137],1,0],[[2.9019277223709396e-286],0,0],[[5.463725192370479e+166],1,0],[[1.2810755089251013e+75],1,0],[[9.138814505421974e-66],0,0],[[2.6556986431700894e-172],0,0],[[3.515792627928699e+199],1,0],[[9.597291263463799e+33],1,0],[[1.8150897130550793e+234],1,0],[[3.165542051316829e+57],1,0],[[1.579252672267158e+84],1,0],[[1.1209809220161085e-271],0,0],[[2.34479875841816e+59],1,0],[[5.702786507831075e+76],1,0],[[8.045725952292009e+27],1,0],[[7.810899588463585e-172],0,0],[[9.291488452698296e+167],1,0],[[3.7649062113016876e-174],0,0],[[3.247555001847955e-09],0,0],[[9.099484178294087e-276],0,0],[[1.2224178423718919e+201],1,0],[[3.264541092685341e+28],1,0],[[9.725416649719138e+252],1,0],[[6.950896233858705e-22],0,0],[[4.4532169971988716e-248],0,0],[[1.1685596793963991e+198],1,0],[[3.272100701705269e+216],1,0],[[7.435874100938545e+127],1,0],[[1.7367008233662004e-146],0,0],[[3.241242127032787e+189],1,0],[[1.710179159392655e-230],0,0],[[1.7761334469972786e+272],1,0],[[1.2314425699492343e+144],1,0],[[1.7931450786375e+207],1,0],[[6.7889504343027e+141],1,0],[[3.717688415206528e-63],0,0],[[4.2329024975964494e-120],0,0],[[1.5110472870035968e-137],0,0],[[1.6394729264619353e-305],0,0],[[1.273007442525311e+205],1,0],[[9.790032000289722e-170],0,0],[[1.748601585802626e+143],1,0],[[6.1586742802359446e+280],1,0],[[1.4196179692273589e+51],1,0],[[2.0434027565243845e+254],1,0],[[15210.1761529531],1,8.434628227636725],[[3.865070822820752e-125],0,0],[[4.405711435557941e-18],0,0],[[6.86860201817031e+37],1,0],[[2.9793076670648235e+135],1,0],[[3.4461982003189476e-271],0,0],[[4.994366090310223e+293],1,0],[[2.9675638609500463e-266],0,0],[[8.497595544438243e+196],1,0],[[3.7184381896827443e-109],0,0],[[9.342278142177427e-261],0,0],[[1.5030419663802974e-174],0,0],[[0.18720893918478226],0,0],[[8.713457448965708e+55],1,0],[[1.3423233293291483e-162],0,0],[[1.7094985902294833e-299],0,0],[[6.443766269775323e+116],1,0],[[1.2878875837081438e-81],0,0],[[3.802507995980374e-176],0,0],[[1.2952736416079913e-172],0,0],[[2.220662619570457e+252],1,0],[[3.61050150366864e+208],1,0],[[9.426838129136436e+163],1,0],[[4.678580995434083e-146],0,0],[[2.6773769570729964e-91],0,0],[[1.0258897434193047e+31],1,0],[[3.867922064222235e-78],0,0],[[6.811775981980025e+18],1,0],[[1.4782394318457476e-109],0,0],[[6.125036550218122e+186],1,0],[[2.738458460650558e+50],1,0],[[1.2054688632397534e+33],1,0],[[1.692419472494387e-152],0,0],[[3.496596375732988e-212],0,0],[[7.5963065745174464e-06],0,0],[[1.6348045764158446e-257],0,0],[[4.821955799677156e-289],0,0],[[1.7483065599934842e+85],1,0],[[0.060556571647326925],0,0],[[1.8480052807692756e-77],0,0],[[8.452451609890028e+85],1,0],[[3.450903835999846e-213],0,0],[[4.495110039324184e-82],0,0],[[2.229461735274287e-223],0,0],[[5.741222418922647e-41],0,0],[[7.0181404927126106e+305],1,0],[[3.6484688752466967e-69],0,0],[[5.094611782176626e-183],0,0]],"fresh-alts":["#","#","#"],"picked-error":28.722339898181517,"best-alt-per-point":[[[1.3073288890631414e+280],1,0],[[3.2964836323184035e-155],0,0],[[9.475383647572687e+150],1,0],[[1.5628986347380075e+167],1,0],[[8.340556674905215e+77],1,0],[[7.077452111412406e-295],0,0],[[3.966194599780254e-223],0,0],[[3.7838902349270595e+124],1,0],[[4.700763524863875e+204],1,0],[[7.759258852634933e-78],0,0],[[20833.64667003459],1,7.622051819456376],[[2.4398615081868066e+205],1,0],[[2.3948670500504287e-261],0,0],[[6.2092037474963055e+231],1,0],[[2.3255349808732236e+289],1,0],[[6.413626161349299e-227],0,0],[[560488966.1174189],1,0],[[2.0882744776400718e-286],0,0],[[1.751208589172235e-52],0,0],[[2.9688880181416084],2,0],[[3.981491076325477e+229],1,0],[[1.6703871447091801e-184],0,0],[[3.294798454877577e-109],0,0],[[5.873882793788073e+304],1,0],[[1.9827401749271262e+183],1,0],[[2.468160393597418e+16],1,0],[[2.339761031458555e-169],0,0],[[3.943485742551043e+214],1,0],[[8.23935440322281e-255],0,0],[[1.2414218620136766e+210],1,0],[[4.2958727261014584e+36],1,0],[[6.328184874755262e+301],1,0],[[1.7255846811749406e-291],0,0],[[9.723806270790304e+261],1,0],[[3.669186107808967e-292],0,0],[[1.4160598314001593e+222],1,0],[[7.17939675829627e-158],0,0],[[5.706174991628051e-294],0,0],[[1.6543220134558954e+211],1,0],[[1.0871440614151498e+289],1,0],[[4.876905254991102e+285],1,0],[[1.2894750780678564e+300],1,0],[[1.4618355052890434e+227],1,0],[[3.043685036732137e-200],0,0],[[1.4920285944075702e-53],0,0],[[7.628653541085044e+123],1,0],[[4.493452818771822e-125],0,0],[[1.4342996382753786e-68],0,0],[[1.0963301159009184e-183],0,0],[[3.231394614843413e+95],1,0],[[8.895467702359268e-17],0,0],[[7.084339583278926e+216],1,0],[[3.879381526714617e+231],1,0],[[1.1166277726761266e+39],1,0],[[1.8687286825225081e+205],1,0],[[2.8321391439452527e-177],0,0],[[1.0865881933967427e-239],0,0],[[1.0321884324238089e-204],0,0],[[2.194953362823915e+177],1,0],[[1.3687884379108643e+17],1,0],[[3.468363920687483e-275],0,0],[[9.235058182301351e-298],0,0],[[1.3508330812519037e-42],0,0],[[3.258549790458107e-45],0,0],[[2.1316535898912934e-76],0,0],[[2.2420303907903802e-68],0,0],[[5.776745162887772e-81],0,0],[[2.3939618552975763e+242],1,0],[[3.161587187966589e+82],1,0],[[3.2633957345317127e+251],1,0],[[2.0474783165414538e-126],0,0],[[5.5609724703152094e-123],0,0],[[4.871284163370267e-185],0,0],[[1.9117791443554203e-134],0,0],[[788647938.445347],1,0],[[7.4751406322111975e-208],0,0],[[7.348751680152543e-306],0,0],[[5.656765710936691e-76],0,0],[[1.961831527193424e-60],0,0],[[7.655606647706524e-307],0,0],[[1.027405627074826e+260],1,0],[[9.383817895669287e-283],0,0],[[3.611278323934413e-94],0,0],[[1.6564415223201099e+136],1,0],[[1.4448618247603424e-257],0,0],[[3.706054342154294e-129],0,0],[[7.195448856340728e-141],0,0],[[3384824.3314616154],1,0],[[2.6544319953421338e+293],1,0],[[1.1509772202461854e+130],1,0],[[7.876423561266471e+22],1,0],[[2.809919074811328e-300],0,0],[[2.1859104172563636e-264],0,0],[[9.260475542482052e+299],1,0],[[8.359355849775862e-16],0,0],[[1.3310146389530143e+163],1,0],[[4.6811315760090616e-144],0,0],[[2.043780925156358e+88],1,0],[[1.046624167704608e-163],0,0],[[3.4631943627882644e+200],1,0],[[4.648142651511719e+239],1,0],[[5.903833024524204e-224],0,0],[[6.75061600976492e-09],0,0],[[4.0526523047213233e+244],1,0],[[1.5043274345617834e+228],1,0],[[9.861253466270416e+140],1,0],[[6.509917256919526e-155],0,0],[[2.0740305822111617e-302],0,0],[[2.156659933698441e+65],1,0],[[5.582278109308679e-72],0,0],[[1.329109205730971e+18],1,0],[[2.480190476546545e-246],0,0],[[7.542398567020551e-205],0,0],[[3.211003609332114e-292],0,0],[[4.607613593823294e-213],0,0],[[1.705817703400908e+63],1,0],[[2.0974429565133816e-215],0,0],[[8.530068169212586e+207],1,0],[[2.905639146095198e+214],1,0],[[3.554023312793441e+160],1,0],[[1.51646550817889e-257],0,0],[[9.88160538195634e+236],1,0],[[2.3719183352628996e+212],1,0],[[1.1988791635038015e-56],0,0],[[3.50550012204851e-33],0,0],[[1.708686197016133e+79],1,0],[[1.0057242501199301e-254],0,0],[[1.099315532911349e-23],0,0],[[1.4540832115601766e+80],1,0],[[3.224104279734413e-128],0,0],[[3.8655618297451507e+264],1,0],[[6.029252458259788e+248],1,0],[[2.45682697544046e-235],0,0],[[4.65318267035879e+212],1,0],[[1.7198556401156944e+40],1,0],[[5.394314721089183e-302],0,0],[[3.6553350706241625e-209],0,0],[[5.073224629669749e-209],0,0],[[2.2777945340735493e-276],0,0],[[1.6219172946297815e+205],1,0],[[2.5842129352573833e+157],1,0],[[2.03476018732095e+119],1,0],[[2.3993845233584173e-107],0,0],[[6.8367221822693645e+171],1,0],[[3.637969744290734e+272],1,0],[[3.6070289902878433e-298],0,0],[[2.4220868488775713e+174],1,0],[[1.4680641340515712e+37],1,0],[[2.130535351053153e+251],1,0],[[9.732025433837372e-298],0,0],[[4.3186153363237085e+196],1,0],[[4.717376995390811e-229],0,0],[[7.890896542811938e+189],1,0],[[1.921602658997656e+224],1,0],[[7.317333208039203e-135],0,0],[[6.639161457381533e+272],1,0],[[7.51766164914667e-83],0,0],[[1.2494134226790036e-90],0,0],[[5.2370439997769816e-251],0,0],[[2.29835853317011e+39],1,0],[[3.8297412694520027e-72],0,0],[[9.751429336071956e-111],0,0],[[3.4632829335752192e-251],0,0],[[1.8598894186132259e+137],1,0],[[2.9019277223709396e-286],0,0],[[5.463725192370479e+166],1,0],[[1.2810755089251013e+75],1,0],[[9.138814505421974e-66],0,0],[[2.6556986431700894e-172],0,0],[[3.515792627928699e+199],1,0],[[9.597291263463799e+33],1,0],[[1.8150897130550793e+234],1,0],[[3.165542051316829e+57],1,0],[[1.579252672267158e+84],1,0],[[1.1209809220161085e-271],0,0],[[2.34479875841816e+59],1,0],[[5.702786507831075e+76],1,0],[[8.045725952292009e+27],1,0],[[7.810899588463585e-172],0,0],[[9.291488452698296e+167],1,0],[[3.7649062113016876e-174],0,0],[[3.247555001847955e-09],0,0],[[9.099484178294087e-276],0,0],[[1.2224178423718919e+201],1,0],[[3.264541092685341e+28],1,0],[[9.725416649719138e+252],1,0],[[6.950896233858705e-22],0,0],[[4.4532169971988716e-248],0,0],[[1.1685596793963991e+198],1,0],[[3.272100701705269e+216],1,0],[[7.435874100938545e+127],1,0],[[1.7367008233662004e-146],0,0],[[3.241242127032787e+189],1,0],[[1.710179159392655e-230],0,0],[[1.7761334469972786e+272],1,0],[[1.2314425699492343e+144],1,0],[[1.7931450786375e+207],1,0],[[6.7889504343027e+141],1,0],[[3.717688415206528e-63],0,0],[[4.2329024975964494e-120],0,0],[[1.5110472870035968e-137],0,0],[[1.6394729264619353e-305],0,0],[[1.273007442525311e+205],1,0],[[9.790032000289722e-170],0,0],[[1.748601585802626e+143],1,0],[[6.1586742802359446e+280],1,0],[[1.4196179692273589e+51],1,0],[[2.0434027565243845e+254],1,0],[[15210.1761529531],1,8.434628227636725],[[3.865070822820752e-125],0,0],[[4.405711435557941e-18],0,0],[[6.86860201817031e+37],1,0],[[2.9793076670648235e+135],1,0],[[3.4461982003189476e-271],0,0],[[4.994366090310223e+293],1,0],[[2.9675638609500463e-266],0,0],[[8.497595544438243e+196],1,0],[[3.7184381896827443e-109],0,0],[[9.342278142177427e-261],0,0],[[1.5030419663802974e-174],0,0],[[0.18720893918478226],0,0],[[8.713457448965708e+55],1,0],[[1.3423233293291483e-162],0,0],[[1.7094985902294833e-299],0,0],[[6.443766269775323e+116],1,0],[[1.2878875837081438e-81],0,0],[[3.802507995980374e-176],0,0],[[1.2952736416079913e-172],0,0],[[2.220662619570457e+252],1,0],[[3.61050150366864e+208],1,0],[[9.426838129136436e+163],1,0],[[4.678580995434083e-146],0,0],[[2.6773769570729964e-91],0,0],[[1.0258897434193047e+31],1,0],[[3.867922064222235e-78],0,0],[[6.811775981980025e+18],1,0],[[1.4782394318457476e-109],0,0],[[6.125036550218122e+186],1,0],[[2.738458460650558e+50],1,0],[[1.2054688632397534e+33],1,0],[[1.692419472494387e-152],0,0],[[3.496596375732988e-212],0,0],[[7.5963065745174464e-06],0,0],[[1.6348045764158446e-257],0,0],[[4.821955799677156e-289],0,0],[[1.7483065599934842e+85],1,0],[[0.060556571647326925],0,0],[[1.8480052807692756e-77],0,0],[[8.452451609890028e+85],1,0],[[3.450903835999846e-213],0,0],[[4.495110039324184e-82],0,0],[[2.229461735274287e-223],0,0],[[5.741222418922647e-41],0,0],[[7.0181404927126106e+305],1,0],[[3.6484688752466967e-69],0,0],[[5.094611782176626e-183],0,0]],"picked":"(λ (N) (log (/ (+ N 1) N)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (* 1/2 (pow N 2)) (log N))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ N 1) N))) (log (cbrt (/ (+ N 1) N)))) * [enter]simplify: Simplifying (log (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ N 1) N))) * [exit]simplify: Simplified to (log (cbrt (/ (+ N 1) N))) * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ N 1) N)) * [exit]simplify: Simplified to (log (/ (+ N 1) N)) * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * [enter]simplify: Simplifying (log (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ N 1) N)) * [exit]simplify: Simplified to (log (/ (+ N 1) N)) * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (log (/ (+ N 1) N))) * [exit]simplify: Simplified to (log (log (/ (+ N 1) N))) * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [exit]simplify: Simplified to (/ (+ N 1) N) * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) * [enter]simplify: Simplifying (cbrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ N 1) N))) * [exit]simplify: Simplified to (cbrt (log (/ (+ N 1) N))) * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ N 1) N)) 3) * [exit]simplify: Simplified to (pow (log (/ (+ N 1) N)) 3) * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ N 1) N))) * [exit]simplify: Simplified to (sqrt (log (/ (+ N 1) N))) * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ N 1) N))) * [exit]simplify: Simplified to (sqrt (log (/ (+ N 1) N))) * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ N 1) N)) * [exit]simplify: Simplified to (log (/ (+ N 1) N)) * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (/ (+ N 1) N)) * [exit]simplify: Simplified to (exp (/ (+ N 1) N)) * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) * [exit]simplify: Simplified to (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) * [enter]simplify: Simplifying (cbrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ N 1) N)) * [exit]simplify: Simplified to (cbrt (/ (+ N 1) N)) * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (pow (/ (+ N 1) N) 3) * [exit]simplify: Simplified to (pow (/ (+ N 1) N) 3) * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (- 1) N) * [exit]simplify: Simplified to (- (- 1) N) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ N 1)) * [exit]simplify: Simplified to (/ N (+ N 1)) * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (cbrt (+ N 1))) * [exit]simplify: Simplified to (/ N (cbrt (+ N 1))) * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (sqrt (+ N 1))) * [exit]simplify: Simplified to (/ N (sqrt (+ N 1))) * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ N 1)) * [exit]simplify: Simplified to (/ N (+ N 1)) * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (+ (- 1 N) (* N N)) N) * [exit]simplify: Simplified to (* (+ (- 1 N) (* N N)) N) * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (- N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (* 1/2 (pow N 2)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* N (* 1/2 N))) * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 N) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 N) 1)) * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 N) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 N) 1)) * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 N) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 N) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"all-alts":["#","#","#"],"best-fresh-alt-per-point":[[[1.3073288890631414e+280],0,0],[[3.2964836323184035e-155],1,0],[[9.475383647572687e+150],0,0],[[1.5628986347380075e+167],0,0],[[8.340556674905215e+77],0,0],[[7.077452111412406e-295],1,0],[[3.966194599780254e-223],1,0],[[3.7838902349270595e+124],0,0],[[4.700763524863875e+204],0,0],[[7.759258852634933e-78],1,0],[[20833.64667003459],0,7.622051819456376],[[2.4398615081868066e+205],0,0],[[2.3948670500504287e-261],1,0],[[6.2092037474963055e+231],0,0],[[2.3255349808732236e+289],0,0],[[6.413626161349299e-227],1,0],[[560488966.1174189],0,0],[[2.0882744776400718e-286],1,0],[[1.751208589172235e-52],1,0],[[2.9688880181416084],1,0],[[3.981491076325477e+229],0,0],[[1.6703871447091801e-184],1,0],[[3.294798454877577e-109],1,0],[[5.873882793788073e+304],0,0],[[1.9827401749271262e+183],0,0],[[2.468160393597418e+16],0,0],[[2.339761031458555e-169],1,0],[[3.943485742551043e+214],0,0],[[8.23935440322281e-255],1,0],[[1.2414218620136766e+210],0,0],[[4.2958727261014584e+36],0,0],[[6.328184874755262e+301],0,0],[[1.7255846811749406e-291],1,0],[[9.723806270790304e+261],0,0],[[3.669186107808967e-292],1,0],[[1.4160598314001593e+222],0,0],[[7.17939675829627e-158],1,0],[[5.706174991628051e-294],1,0],[[1.6543220134558954e+211],0,0],[[1.0871440614151498e+289],0,0],[[4.876905254991102e+285],0,0],[[1.2894750780678564e+300],0,0],[[1.4618355052890434e+227],0,0],[[3.043685036732137e-200],1,0],[[1.4920285944075702e-53],1,0],[[7.628653541085044e+123],0,0],[[4.493452818771822e-125],1,0],[[1.4342996382753786e-68],1,0],[[1.0963301159009184e-183],1,0],[[3.231394614843413e+95],0,0],[[8.895467702359268e-17],1,0],[[7.084339583278926e+216],0,0],[[3.879381526714617e+231],0,0],[[1.1166277726761266e+39],0,0],[[1.8687286825225081e+205],0,0],[[2.8321391439452527e-177],1,0],[[1.0865881933967427e-239],1,0],[[1.0321884324238089e-204],1,0],[[2.194953362823915e+177],0,0],[[1.3687884379108643e+17],0,0],[[3.468363920687483e-275],1,0],[[9.235058182301351e-298],1,0],[[1.3508330812519037e-42],1,0],[[3.258549790458107e-45],1,0],[[2.1316535898912934e-76],1,0],[[2.2420303907903802e-68],1,0],[[5.776745162887772e-81],1,0],[[2.3939618552975763e+242],0,0],[[3.161587187966589e+82],0,0],[[3.2633957345317127e+251],0,0],[[2.0474783165414538e-126],1,0],[[5.5609724703152094e-123],1,0],[[4.871284163370267e-185],1,0],[[1.9117791443554203e-134],1,0],[[788647938.445347],0,0],[[7.4751406322111975e-208],1,0],[[7.348751680152543e-306],1,0],[[5.656765710936691e-76],1,0],[[1.961831527193424e-60],1,0],[[7.655606647706524e-307],1,0],[[1.027405627074826e+260],0,0],[[9.383817895669287e-283],1,0],[[3.611278323934413e-94],1,0],[[1.6564415223201099e+136],0,0],[[1.4448618247603424e-257],1,0],[[3.706054342154294e-129],1,0],[[7.195448856340728e-141],1,0],[[3384824.3314616154],0,0],[[2.6544319953421338e+293],0,0],[[1.1509772202461854e+130],0,0],[[7.876423561266471e+22],0,0],[[2.809919074811328e-300],1,0],[[2.1859104172563636e-264],1,0],[[9.260475542482052e+299],0,0],[[8.359355849775862e-16],1,1.0],[[1.3310146389530143e+163],0,0],[[4.6811315760090616e-144],1,0],[[2.043780925156358e+88],0,0],[[1.046624167704608e-163],1,0],[[3.4631943627882644e+200],0,0],[[4.648142651511719e+239],0,0],[[5.903833024524204e-224],1,0],[[6.75061600976492e-09],1,0],[[4.0526523047213233e+244],0,0],[[1.5043274345617834e+228],0,0],[[9.861253466270416e+140],0,0],[[6.509917256919526e-155],1,0],[[2.0740305822111617e-302],1,0],[[2.156659933698441e+65],0,0],[[5.582278109308679e-72],1,0],[[1.329109205730971e+18],0,0],[[2.480190476546545e-246],1,0],[[7.542398567020551e-205],1,0],[[3.211003609332114e-292],1,0],[[4.607613593823294e-213],1,0],[[1.705817703400908e+63],0,0],[[2.0974429565133816e-215],1,0],[[8.530068169212586e+207],0,0],[[2.905639146095198e+214],0,0],[[3.554023312793441e+160],0,0],[[1.51646550817889e-257],1,0],[[9.88160538195634e+236],0,0],[[2.3719183352628996e+212],0,0],[[1.1988791635038015e-56],1,0],[[3.50550012204851e-33],1,0],[[1.708686197016133e+79],0,0],[[1.0057242501199301e-254],1,0],[[1.099315532911349e-23],1,0],[[1.4540832115601766e+80],0,0],[[3.224104279734413e-128],1,0],[[3.8655618297451507e+264],0,0],[[6.029252458259788e+248],0,0],[[2.45682697544046e-235],1,0],[[4.65318267035879e+212],0,0],[[1.7198556401156944e+40],0,0],[[5.394314721089183e-302],1,0],[[3.6553350706241625e-209],1,0],[[5.073224629669749e-209],1,0],[[2.2777945340735493e-276],1,0],[[1.6219172946297815e+205],0,0],[[2.5842129352573833e+157],0,0],[[2.03476018732095e+119],0,0],[[2.3993845233584173e-107],1,0],[[6.8367221822693645e+171],0,0],[[3.637969744290734e+272],0,0],[[3.6070289902878433e-298],1,0],[[2.4220868488775713e+174],0,0],[[1.4680641340515712e+37],0,0],[[2.130535351053153e+251],0,0],[[9.732025433837372e-298],1,0],[[4.3186153363237085e+196],0,0],[[4.717376995390811e-229],1,0],[[7.890896542811938e+189],0,0],[[1.921602658997656e+224],0,0],[[7.317333208039203e-135],1,0],[[6.639161457381533e+272],0,0],[[7.51766164914667e-83],1,0],[[1.2494134226790036e-90],1,0],[[5.2370439997769816e-251],1,0],[[2.29835853317011e+39],0,0],[[3.8297412694520027e-72],1,0],[[9.751429336071956e-111],1,0],[[3.4632829335752192e-251],1,0],[[1.8598894186132259e+137],0,0],[[2.9019277223709396e-286],1,0],[[5.463725192370479e+166],0,0],[[1.2810755089251013e+75],0,0],[[9.138814505421974e-66],1,0],[[2.6556986431700894e-172],1,0],[[3.515792627928699e+199],0,0],[[9.597291263463799e+33],0,0],[[1.8150897130550793e+234],0,0],[[3.165542051316829e+57],0,0],[[1.579252672267158e+84],0,0],[[1.1209809220161085e-271],1,0],[[2.34479875841816e+59],0,0],[[5.702786507831075e+76],0,0],[[8.045725952292009e+27],0,0],[[7.810899588463585e-172],1,0],[[9.291488452698296e+167],0,0],[[3.7649062113016876e-174],1,0],[[3.247555001847955e-09],1,1.0],[[9.099484178294087e-276],1,0],[[1.2224178423718919e+201],0,0],[[3.264541092685341e+28],0,0],[[9.725416649719138e+252],0,0],[[6.950896233858705e-22],1,0],[[4.4532169971988716e-248],1,0],[[1.1685596793963991e+198],0,0],[[3.272100701705269e+216],0,0],[[7.435874100938545e+127],0,0],[[1.7367008233662004e-146],1,0],[[3.241242127032787e+189],0,0],[[1.710179159392655e-230],1,0],[[1.7761334469972786e+272],0,0],[[1.2314425699492343e+144],0,0],[[1.7931450786375e+207],0,0],[[6.7889504343027e+141],0,0],[[3.717688415206528e-63],1,0],[[4.2329024975964494e-120],1,0],[[1.5110472870035968e-137],1,0],[[1.6394729264619353e-305],1,0],[[1.273007442525311e+205],0,0],[[9.790032000289722e-170],1,0],[[1.748601585802626e+143],0,0],[[6.1586742802359446e+280],0,0],[[1.4196179692273589e+51],0,0],[[2.0434027565243845e+254],0,0],[[15210.1761529531],0,8.434628227636725],[[3.865070822820752e-125],1,0],[[4.405711435557941e-18],1,0],[[6.86860201817031e+37],0,0],[[2.9793076670648235e+135],0,0],[[3.4461982003189476e-271],1,0],[[4.994366090310223e+293],0,0],[[2.9675638609500463e-266],1,0],[[8.497595544438243e+196],0,0],[[3.7184381896827443e-109],1,0],[[9.342278142177427e-261],1,0],[[1.5030419663802974e-174],1,0],[[0.18720893918478226],1,0],[[8.713457448965708e+55],0,0],[[1.3423233293291483e-162],1,0],[[1.7094985902294833e-299],1,0],[[6.443766269775323e+116],0,0],[[1.2878875837081438e-81],1,0],[[3.802507995980374e-176],1,0],[[1.2952736416079913e-172],1,0],[[2.220662619570457e+252],0,0],[[3.61050150366864e+208],0,0],[[9.426838129136436e+163],0,0],[[4.678580995434083e-146],1,0],[[2.6773769570729964e-91],1,0],[[1.0258897434193047e+31],0,0],[[3.867922064222235e-78],1,0],[[6.811775981980025e+18],0,0],[[1.4782394318457476e-109],1,0],[[6.125036550218122e+186],0,0],[[2.738458460650558e+50],0,0],[[1.2054688632397534e+33],0,0],[[1.692419472494387e-152],1,0],[[3.496596375732988e-212],1,0],[[7.5963065745174464e-06],1,0],[[1.6348045764158446e-257],1,0],[[4.821955799677156e-289],1,0],[[1.7483065599934842e+85],0,0],[[0.060556571647326925],1,0],[[1.8480052807692756e-77],1,0],[[8.452451609890028e+85],0,0],[[3.450903835999846e-213],1,0],[[4.495110039324184e-82],1,0],[[2.229461735274287e-223],1,0],[[5.741222418922647e-41],1,0],[[7.0181404927126106e+305],0,0],[[3.6484688752466967e-69],1,0],[[5.094611782176626e-183],1,0]],"fresh-alts":["#","#"],"picked-error":29.06615185712934,"best-alt-per-point":[[[1.3073288890631414e+280],1,0],[[3.2964836323184035e-155],0,0],[[9.475383647572687e+150],1,0],[[1.5628986347380075e+167],1,0],[[8.340556674905215e+77],1,0],[[7.077452111412406e-295],0,0],[[3.966194599780254e-223],0,0],[[3.7838902349270595e+124],1,0],[[4.700763524863875e+204],1,0],[[7.759258852634933e-78],0,0],[[20833.64667003459],1,7.622051819456376],[[2.4398615081868066e+205],1,0],[[2.3948670500504287e-261],0,0],[[6.2092037474963055e+231],1,0],[[2.3255349808732236e+289],1,0],[[6.413626161349299e-227],0,0],[[560488966.1174189],1,0],[[2.0882744776400718e-286],0,0],[[1.751208589172235e-52],0,0],[[2.9688880181416084],2,0],[[3.981491076325477e+229],1,0],[[1.6703871447091801e-184],0,0],[[3.294798454877577e-109],0,0],[[5.873882793788073e+304],1,0],[[1.9827401749271262e+183],1,0],[[2.468160393597418e+16],1,0],[[2.339761031458555e-169],0,0],[[3.943485742551043e+214],1,0],[[8.23935440322281e-255],0,0],[[1.2414218620136766e+210],1,0],[[4.2958727261014584e+36],1,0],[[6.328184874755262e+301],1,0],[[1.7255846811749406e-291],0,0],[[9.723806270790304e+261],1,0],[[3.669186107808967e-292],0,0],[[1.4160598314001593e+222],1,0],[[7.17939675829627e-158],0,0],[[5.706174991628051e-294],0,0],[[1.6543220134558954e+211],1,0],[[1.0871440614151498e+289],1,0],[[4.876905254991102e+285],1,0],[[1.2894750780678564e+300],1,0],[[1.4618355052890434e+227],1,0],[[3.043685036732137e-200],0,0],[[1.4920285944075702e-53],0,0],[[7.628653541085044e+123],1,0],[[4.493452818771822e-125],0,0],[[1.4342996382753786e-68],0,0],[[1.0963301159009184e-183],0,0],[[3.231394614843413e+95],1,0],[[8.895467702359268e-17],0,0],[[7.084339583278926e+216],1,0],[[3.879381526714617e+231],1,0],[[1.1166277726761266e+39],1,0],[[1.8687286825225081e+205],1,0],[[2.8321391439452527e-177],0,0],[[1.0865881933967427e-239],0,0],[[1.0321884324238089e-204],0,0],[[2.194953362823915e+177],1,0],[[1.3687884379108643e+17],1,0],[[3.468363920687483e-275],0,0],[[9.235058182301351e-298],0,0],[[1.3508330812519037e-42],0,0],[[3.258549790458107e-45],0,0],[[2.1316535898912934e-76],0,0],[[2.2420303907903802e-68],0,0],[[5.776745162887772e-81],0,0],[[2.3939618552975763e+242],1,0],[[3.161587187966589e+82],1,0],[[3.2633957345317127e+251],1,0],[[2.0474783165414538e-126],0,0],[[5.5609724703152094e-123],0,0],[[4.871284163370267e-185],0,0],[[1.9117791443554203e-134],0,0],[[788647938.445347],1,0],[[7.4751406322111975e-208],0,0],[[7.348751680152543e-306],0,0],[[5.656765710936691e-76],0,0],[[1.961831527193424e-60],0,0],[[7.655606647706524e-307],0,0],[[1.027405627074826e+260],1,0],[[9.383817895669287e-283],0,0],[[3.611278323934413e-94],0,0],[[1.6564415223201099e+136],1,0],[[1.4448618247603424e-257],0,0],[[3.706054342154294e-129],0,0],[[7.195448856340728e-141],0,0],[[3384824.3314616154],1,0],[[2.6544319953421338e+293],1,0],[[1.1509772202461854e+130],1,0],[[7.876423561266471e+22],1,0],[[2.809919074811328e-300],0,0],[[2.1859104172563636e-264],0,0],[[9.260475542482052e+299],1,0],[[8.359355849775862e-16],0,0],[[1.3310146389530143e+163],1,0],[[4.6811315760090616e-144],0,0],[[2.043780925156358e+88],1,0],[[1.046624167704608e-163],0,0],[[3.4631943627882644e+200],1,0],[[4.648142651511719e+239],1,0],[[5.903833024524204e-224],0,0],[[6.75061600976492e-09],0,0],[[4.0526523047213233e+244],1,0],[[1.5043274345617834e+228],1,0],[[9.861253466270416e+140],1,0],[[6.509917256919526e-155],0,0],[[2.0740305822111617e-302],0,0],[[2.156659933698441e+65],1,0],[[5.582278109308679e-72],0,0],[[1.329109205730971e+18],1,0],[[2.480190476546545e-246],0,0],[[7.542398567020551e-205],0,0],[[3.211003609332114e-292],0,0],[[4.607613593823294e-213],0,0],[[1.705817703400908e+63],1,0],[[2.0974429565133816e-215],0,0],[[8.530068169212586e+207],1,0],[[2.905639146095198e+214],1,0],[[3.554023312793441e+160],1,0],[[1.51646550817889e-257],0,0],[[9.88160538195634e+236],1,0],[[2.3719183352628996e+212],1,0],[[1.1988791635038015e-56],0,0],[[3.50550012204851e-33],0,0],[[1.708686197016133e+79],1,0],[[1.0057242501199301e-254],0,0],[[1.099315532911349e-23],0,0],[[1.4540832115601766e+80],1,0],[[3.224104279734413e-128],0,0],[[3.8655618297451507e+264],1,0],[[6.029252458259788e+248],1,0],[[2.45682697544046e-235],0,0],[[4.65318267035879e+212],1,0],[[1.7198556401156944e+40],1,0],[[5.394314721089183e-302],0,0],[[3.6553350706241625e-209],0,0],[[5.073224629669749e-209],0,0],[[2.2777945340735493e-276],0,0],[[1.6219172946297815e+205],1,0],[[2.5842129352573833e+157],1,0],[[2.03476018732095e+119],1,0],[[2.3993845233584173e-107],0,0],[[6.8367221822693645e+171],1,0],[[3.637969744290734e+272],1,0],[[3.6070289902878433e-298],0,0],[[2.4220868488775713e+174],1,0],[[1.4680641340515712e+37],1,0],[[2.130535351053153e+251],1,0],[[9.732025433837372e-298],0,0],[[4.3186153363237085e+196],1,0],[[4.717376995390811e-229],0,0],[[7.890896542811938e+189],1,0],[[1.921602658997656e+224],1,0],[[7.317333208039203e-135],0,0],[[6.639161457381533e+272],1,0],[[7.51766164914667e-83],0,0],[[1.2494134226790036e-90],0,0],[[5.2370439997769816e-251],0,0],[[2.29835853317011e+39],1,0],[[3.8297412694520027e-72],0,0],[[9.751429336071956e-111],0,0],[[3.4632829335752192e-251],0,0],[[1.8598894186132259e+137],1,0],[[2.9019277223709396e-286],0,0],[[5.463725192370479e+166],1,0],[[1.2810755089251013e+75],1,0],[[9.138814505421974e-66],0,0],[[2.6556986431700894e-172],0,0],[[3.515792627928699e+199],1,0],[[9.597291263463799e+33],1,0],[[1.8150897130550793e+234],1,0],[[3.165542051316829e+57],1,0],[[1.579252672267158e+84],1,0],[[1.1209809220161085e-271],0,0],[[2.34479875841816e+59],1,0],[[5.702786507831075e+76],1,0],[[8.045725952292009e+27],1,0],[[7.810899588463585e-172],0,0],[[9.291488452698296e+167],1,0],[[3.7649062113016876e-174],0,0],[[3.247555001847955e-09],0,0],[[9.099484178294087e-276],0,0],[[1.2224178423718919e+201],1,0],[[3.264541092685341e+28],1,0],[[9.725416649719138e+252],1,0],[[6.950896233858705e-22],0,0],[[4.4532169971988716e-248],0,0],[[1.1685596793963991e+198],1,0],[[3.272100701705269e+216],1,0],[[7.435874100938545e+127],1,0],[[1.7367008233662004e-146],0,0],[[3.241242127032787e+189],1,0],[[1.710179159392655e-230],0,0],[[1.7761334469972786e+272],1,0],[[1.2314425699492343e+144],1,0],[[1.7931450786375e+207],1,0],[[6.7889504343027e+141],1,0],[[3.717688415206528e-63],0,0],[[4.2329024975964494e-120],0,0],[[1.5110472870035968e-137],0,0],[[1.6394729264619353e-305],0,0],[[1.273007442525311e+205],1,0],[[9.790032000289722e-170],0,0],[[1.748601585802626e+143],1,0],[[6.1586742802359446e+280],1,0],[[1.4196179692273589e+51],1,0],[[2.0434027565243845e+254],1,0],[[15210.1761529531],1,8.434628227636725],[[3.865070822820752e-125],0,0],[[4.405711435557941e-18],0,0],[[6.86860201817031e+37],1,0],[[2.9793076670648235e+135],1,0],[[3.4461982003189476e-271],0,0],[[4.994366090310223e+293],1,0],[[2.9675638609500463e-266],0,0],[[8.497595544438243e+196],1,0],[[3.7184381896827443e-109],0,0],[[9.342278142177427e-261],0,0],[[1.5030419663802974e-174],0,0],[[0.18720893918478226],0,0],[[8.713457448965708e+55],1,0],[[1.3423233293291483e-162],0,0],[[1.7094985902294833e-299],0,0],[[6.443766269775323e+116],1,0],[[1.2878875837081438e-81],0,0],[[3.802507995980374e-176],0,0],[[1.2952736416079913e-172],0,0],[[2.220662619570457e+252],1,0],[[3.61050150366864e+208],1,0],[[9.426838129136436e+163],1,0],[[4.678580995434083e-146],0,0],[[2.6773769570729964e-91],0,0],[[1.0258897434193047e+31],1,0],[[3.867922064222235e-78],0,0],[[6.811775981980025e+18],1,0],[[1.4782394318457476e-109],0,0],[[6.125036550218122e+186],1,0],[[2.738458460650558e+50],1,0],[[1.2054688632397534e+33],1,0],[[1.692419472494387e-152],0,0],[[3.496596375732988e-212],0,0],[[7.5963065745174464e-06],0,0],[[1.6348045764158446e-257],0,0],[[4.821955799677156e-289],0,0],[[1.7483065599934842e+85],1,0],[[0.060556571647326925],0,0],[[1.8480052807692756e-77],0,0],[[8.452451609890028e+85],1,0],[[3.450903835999846e-213],0,0],[[4.495110039324184e-82],0,0],[[2.229461735274287e-223],0,0],[[5.741222418922647e-41],0,0],[[7.0181404927126106e+305],1,0],[[3.6484688752466967e-69],0,0],[[5.094611782176626e-183],0,0]],"picked":"(λ (N) (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) * [misc]approximate: Taking taylor expansion of (- (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) * [misc]backup-simplify: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (/ 1 N) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N)))) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1) 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/3) 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow N 4)) (+ (* (- +nan.0) (pow N 3)) (* (- +nan.0) (pow N 2)))) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 (pow N 4)) (- (* +nan.0 (pow N 3))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (pow (sqrt (- (log N))) 2) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2))) 1/2) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2))) into (- (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log (+ (/ 1 (- N)) 1))) (sqrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * [exit]simplify: Simplified to (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 2 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * * * * [misc]progress: [ 3 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 4 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ (pow N 3) 1)) * [exit]simplify: Simplified to (log (+ (pow N 3) 1)) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 5 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 6 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 7 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 10 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 11 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 12 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * * * * [misc]progress: [ 13 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 14 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * [exit]simplify: Simplified to (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 16 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * [exit]simplify: Simplified to (log (sqrt (+ N 1))) * * * * [misc]progress: [ 17 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 18 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ (pow N 3) 1)) * [exit]simplify: Simplified to (log (+ (pow N 3) 1)) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 19 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 20 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 21 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 24 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 25 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 26 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * * * * [misc]progress: [ 27 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 28 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) N) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [exit]simplify: Simplified to (/ (+ N 1) N) * * * * [misc]progress: [ 30 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (log (- (log (+ N 1)) (log N))) * * * * [misc]progress: [ 32 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [exit]simplify: Simplified to (/ (+ N 1) N) * * * * [misc]progress: [ 33 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) (cbrt (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * [enter]simplify: Simplifying (cbrt (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (cbrt (- (log (+ N 1)) (log N))) * * * * [misc]progress: [ 34 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)) (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (pow (- (log (+ N 1)) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log (+ N 1)) (log N)) 3) * * * * [misc]progress: [ 35 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * [enter]simplify: Simplifying (sqrt (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ N 1)) (log N))) * * * * [misc]progress: [ 36 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (* (* (log N) (log N)) (- (log N))) (pow (log (+ N 1)) 3)) * [exit]simplify: Simplified to (+ (* (* (log N) (log N)) (- (log N))) (pow (log (+ N 1)) 3)) * [enter]simplify: Simplifying (+ (* (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) (+ (* (log N) (log N)) (* (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ (* (log N) (+ (log N) (log (+ N 1)))) (* (log (+ N 1)) (log (+ N 1)))) * [exit]simplify: Simplified to (+ (* (log N) (+ (log N) (log (+ N 1)))) (* (log (+ N 1)) (log (+ N 1)))) * * * * [misc]progress: [ 37 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 38 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1)))) * [exit]simplify: Simplified to (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1)))) * [enter]simplify: Simplifying (+ (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (log (+ N 1)) (log N)) * [exit]simplify: Simplified to (+ (log (+ N 1)) (log N)) * * * * [misc]progress: [ 40 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ N 1)))) * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (log (+ N 1))) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log (+ N 1))) (sqrt (log N))) * * * * [misc]progress: [ 41 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 42 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 43 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 44 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ N 1)) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (log (+ N 1))) * [exit]simplify: Simplified to (* (log (+ N 1)) (log (+ N 1))) * * * * [misc]progress: [ 45 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 46 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 48 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (log (+ N 1)))) (log (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (log (+ N 1)))) (log (sqrt (log (+ N 1))))) * [exit]simplify: Simplified to (+ (log (sqrt (log (+ N 1)))) (log (sqrt (log (+ N 1))))) * * * * [misc]progress: [ 50 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 51 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 52 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) (* (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * * * * [misc]progress: [ 53 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) (cbrt (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 54 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * [exit]simplify: Simplified to (pow (log (+ N 1)) 3) * * * * [misc]progress: [ 55 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ N 1)) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (log (+ N 1))) * [exit]simplify: Simplified to (* (log (+ N 1)) (log (+ N 1))) * * * * [misc]progress: [ 56 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [enter]simplify: Simplifying (sqrt (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 57 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (* (cbrt (sqrt (log (+ N 1)))) (cbrt (sqrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (log (+ N 1)))) (cbrt (sqrt (log (+ N 1))))) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (log (+ N 1)))) (cbrt (sqrt (log (+ N 1))))) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 60 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 61 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (log (+ N 1))) (fabs (cbrt (log (+ N 1))))) * [exit]simplify: Simplified to (* (sqrt (log (+ N 1))) (fabs (cbrt (log (+ N 1))))) * * * * [misc]progress: [ 62 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 63 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 64 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt (sqrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 65 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 66 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 67 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 68 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 69 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 70 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 71 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (log (+ N 1)))) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 72 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 73 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log (+ N 1))) (sqrt (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) (log N)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (- (* (sqrt (+ (* (- (* 1/3 N) 1/2) (* N N)) N)) (sqrt (log (+ N 1)))) (log N)) * * * * [misc]progress: [ 75 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log (+ N 1))) (sqrt (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))))) (log N)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log (+ N 1))) (sqrt (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))))) (log N)) * * * * [misc]progress: [ 76 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log (+ N 1))) (sqrt (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))))) (log N)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (- (* (sqrt (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N)))) (sqrt (log (+ N 1)))) (log N)) * * * * [misc]progress: [ 77 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) (sqrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log (+ N 1))) (sqrt (+ (* (- (* 1/3 N) 1/2) (* N N)) N))) (log N)) * * * * [misc]progress: [ 78 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N))))) (sqrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (- (* (sqrt (- (+ (log N) (/ 1 N)) (/ (/ 1/2 N) N))) (sqrt (log (+ 1 N)))) (log N)) * * * * [misc]progress: [ 79 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N))))) (sqrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (- (* (sqrt (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (sqrt (log (+ 1 N)))) (log N)) * * * * [misc]progress: [ 80 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) * * * * [misc]progress: [ 81 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N)))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ 1/2 (* N N))) * * * * [misc]progress: [ 82 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 83 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 (pow N 4)) (- (* +nan.0 (pow N 3))))))) (log N)) * * * * [misc]progress: [ 84 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2)) (* 1/2 (/ 1 (pow N 2)))) (log N)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 85 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 N) 0) (/ (/ 1/2 N) N)) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"all-alts":["#","#","#"],"best-fresh-alt-per-point":[[[1.3073288890631414e+280],0,0],[[3.2964836323184035e-155],0,61.98813152341924],[[9.475383647572687e+150],0,0],[[1.5628986347380075e+167],0,0],[[8.340556674905215e+77],0,0],[[7.077452111412406e-295],0,61.98680503032391],[[3.966194599780254e-223],0,61.98726373815634],[[3.7838902349270595e+124],0,0],[[4.700763524863875e+204],0,0],[[7.759258852634933e-78],0,61.568813596396545],[[20833.64667003459],0,7.622051819456376],[[2.4398615081868066e+205],0,0],[[2.3948670500504287e-261],0,61.98701941116159],[[6.2092037474963055e+231],0,0],[[2.3255349808732236e+289],0,0],[[6.413626161349299e-227],0,61.98723950317374],[[560488966.1174189],0,0],[[2.0882744776400718e-286],0,61.9868591883801],[[1.751208589172235e-52],0,60.98668172260197],[[2.9688880181416084],0,45.37894287984994],[[3.981491076325477e+229],0,0],[[1.6703871447091801e-184],0,61.987757174671046],[[3.294798454877577e-109],0,61.98875358244456],[[5.873882793788073e+304],0,0],[[1.9827401749271262e+183],0,0],[[2.468160393597418e+16],0,0],[[2.339761031458555e-169],0,61.987950734283004],[[3.943485742551043e+214],0,0],[[8.23935440322281e-255],0,61.987061201343195],[[1.2414218620136766e+210],0,0],[[4.2958727261014584e+36],0,0],[[6.328184874755262e+301],0,0],[[1.7255846811749406e-291],0,61.98682668800412],[[9.723806270790304e+261],0,0],[[3.669186107808967e-292],0,61.986822388755016],[[1.4160598314001593e+222],0,0],[[7.17939675829627e-158],0,61.988097511573386],[[5.706174991628051e-294],0,61.98681082653331],[[1.6543220134558954e+211],0,0],[[1.0871440614151498e+289],0,0],[[4.876905254991102e+285],0,0],[[1.2894750780678564e+300],0,0],[[1.4618355052890434e+227],0,0],[[3.043685036732137e-200],0,61.98755600861795],[[1.4920285944075702e-53],0,61.01660442115946],[[7.628653541085044e+123],0,0],[[4.493452818771822e-125],0,61.988516495770355],[[1.4342996382753786e-68],0,61.38202051526538],[[1.0963301159009184e-183],0,61.98776761759866],[[3.231394614843413e+95],0,0],[[8.895467702359268e-17],0,59.25871803165637],[[7.084339583278926e+216],0,0],[[3.879381526714617e+231],0,0],[[1.1166277726761266e+39],0,0],[[1.8687286825225081e+205],0,0],[[2.8321391439452527e-177],0,61.987849563178585],[[1.0865881933967427e-239],0,61.98715786371629],[[1.0321884324238089e-204],0,61.98749887686696],[[2.194953362823915e+177],0,0],[[1.3687884379108643e+17],0,0],[[3.468363920687483e-275],0,61.98693093000259],[[9.235058182301351e-298],0,61.986786586274725],[[1.3508330812519037e-42],0,60.676280832372754],[[3.258549790458107e-45],0,60.7651900927271],[[2.1316535898912934e-76],0,61.54127367949436],[[2.2420303907903802e-68],0,61.377844817518735],[[5.776745162887772e-81],0,61.62679295709369],[[2.3939618552975763e+242],0,0],[[3.161587187966589e+82],0,0],[[3.2633957345317127e+251],0,0],[[2.0474783165414538e-126],0,61.98849936190308],[[5.5609724703152094e-123],0,61.98854322480492],[[4.871284163370267e-185],0,61.98775033505796],[[1.9117791443554203e-134],0,61.98839678926766],[[788647938.445347],0,0],[[7.4751406322111975e-208],0,61.98745873768486],[[7.348751680152543e-306],0,61.986734795875336],[[5.656765710936691e-76],0,61.53311582450788],[[1.961831527193424e-60],0,61.19546499344376],[[7.655606647706524e-307],0,61.98672851486619],[[1.027405627074826e+260],0,0],[[9.383817895669287e-283],0,61.98688254305013],[[3.611278323934413e-94],0,61.848433172315744],[[1.6564415223201099e+136],0,0],[[1.4448618247603424e-257],0,61.987043581271195],[[3.706054342154294e-129],0,61.98846433241658],[[7.195448856340728e-141],0,61.98831471882368],[[3384824.3314616154],0,0],[[2.6544319953421338e+293],0,0],[[1.1509772202461854e+130],0,0],[[7.876423561266471e+22],0,0],[[2.809919074811328e-300],0,61.986770493174255],[[2.1859104172563636e-264],0,61.98699997751835],[[9.260475542482052e+299],0,0],[[8.359355849775862e-16],0,59.16505098808821],[[1.3310146389530143e+163],0,0],[[4.6811315760090616e-144],0,61.98827400740903],[[2.043780925156358e+88],0,0],[[1.046624167704608e-163],0,61.98802293851839],[[3.4631943627882644e+200],0,0],[[4.648142651511719e+239],0,0],[[5.903833024524204e-224],0,61.9872584502153],[[6.75061600976492e-09],0,58.240633544156196],[[4.0526523047213233e+244],0,0],[[1.5043274345617834e+228],0,0],[[9.861253466270416e+140],0,0],[[6.509917256919526e-155],0,61.988135299280785],[[2.0740305822111617e-302],0,61.98675686093116],[[2.156659933698441e+65],0,0],[[5.582278109308679e-72],0,61.453561280928625],[[1.329109205730971e+18],0,0],[[2.480190476546545e-246],0,61.98711540528215],[[7.542398567020551e-205],0,61.98749713526571],[[3.211003609332114e-292],0,61.98682201834488],[[4.607613593823294e-213],0,61.98739213598771],[[1.705817703400908e+63],0,0],[[2.0974429565133816e-215],0,61.98736219974148],[[8.530068169212586e+207],0,0],[[2.905639146095198e+214],0,0],[[3.554023312793441e+160],0,0],[[1.51646550817889e-257],0,61.987043715568866],[[9.88160538195634e+236],0,0],[[2.3719183352628996e+212],0,0],[[1.1988791635038015e-56],0,61.099700922962036],[[3.50550012204851e-33],0,60.30215300601585],[[1.708686197016133e+79],0,0],[[1.0057242501199301e-254],0,61.98706175489919],[[1.099315532911349e-23],0,59.79123652062829],[[1.4540832115601766e+80],0,0],[[3.224104279734413e-128],0,61.988476333393926],[[3.8655618297451507e+264],0,0],[[6.029252458259788e+248],0,0],[[2.45682697544046e-235],0,61.98718569936152],[[4.65318267035879e+212],0,0],[[1.7198556401156944e+40],0,0],[[5.394314721089183e-302],0,61.98675951542259],[[3.6553350706241625e-209],0,61.98744198328678],[[5.073224629669749e-209],0,61.98744380302489],[[2.2777945340735493e-276],0,61.986923368689546],[[1.6219172946297815e+205],0,0],[[2.5842129352573833e+157],0,0],[[2.03476018732095e+119],0,0],[[2.3993845233584173e-107],0,61.98880114898119],[[6.8367221822693645e+171],0,0],[[3.637969744290734e+272],0,0],[[3.6070289902878433e-298],0,61.98678397551392],[[2.4220868488775713e+174],0,0],[[1.4680641340515712e+37],0,0],[[2.130535351053153e+251],0,0],[[9.732025433837372e-298],0,61.98678673183366],[[4.3186153363237085e+196],0,0],[[4.717376995390811e-229],0,61.98722586561708],[[7.890896542811938e+189],0,0],[[1.921602658997656e+224],0,0],[[7.317333208039203e-135],0,61.98839146121539],[[6.639161457381533e+272],0,0],[[7.51766164914667e-83],0,61.66056295674473],[[1.2494134226790036e-90],0,61.79226445866088],[[5.2370439997769816e-251],0,61.98708551554329],[[2.29835853317011e+39],0,0],[[3.8297412694520027e-72],0,61.45700530321319],[[9.751429336071956e-111],0,61.988714533332555],[[3.4632829335752192e-251],0,61.98708436736263],[[1.8598894186132259e+137],0,0],[[2.9019277223709396e-286],0,61.986860102083355],[[5.463725192370479e+166],0,0],[[1.2810755089251013e+75],0,0],[[9.138814505421974e-66],0,61.32040721544883],[[2.6556986431700894e-172],0,61.98791310140915],[[3.515792627928699e+199],0,0],[[9.597291263463799e+33],0,0],[[1.8150897130550793e+234],0,0],[[3.165542051316829e+57],0,0],[[1.579252672267158e+84],0,0],[[1.1209809220161085e-271],0,61.986953368464796],[[2.34479875841816e+59],0,0],[[5.702786507831075e+76],0,0],[[8.045725952292009e+27],0,0],[[7.810899588463585e-172],0,61.98791908853181],[[9.291488452698296e+167],0,0],[[3.7649062113016876e-174],0,61.987889480635026],[[3.247555001847955e-09],0,58.299843515093926],[[9.099484178294087e-276],0,61.98692721454918],[[1.2224178423718919e+201],0,0],[[3.264541092685341e+28],0,0],[[9.725416649719138e+252],0,0],[[6.950896233858705e-22],0,59.67018849997378],[[4.4532169971988716e-248],0,61.987104244415754],[[1.1685596793963991e+198],0,0],[[3.272100701705269e+216],0,0],[[7.435874100938545e+127],0,0],[[1.7367008233662004e-146],0,61.988242954451785],[[3.241242127032787e+189],0,0],[[1.710179159392655e-230],0,61.98721665628183],[[1.7761334469972786e+272],0,0],[[1.2314425699492343e+144],0,0],[[1.7931450786375e+207],0,0],[[6.7889504343027e+141],0,0],[[3.717688415206528e-63],0,61.2606088631994],[[4.2329024975964494e-120],0,61.98858003010321],[[1.5110472870035968e-137],0,61.98835716024776],[[1.6394729264619353e-305],0,61.986737024332875],[[1.273007442525311e+205],0,0],[[9.790032000289722e-170],0,61.98794589907813],[[1.748601585802626e+143],0,0],[[6.1586742802359446e+280],0,0],[[1.4196179692273589e+51],0,0],[[2.0434027565243845e+254],0,0],[[15210.1761529531],0,8.434628227636725],[[3.865070822820752e-125],0,61.98851566009812],[[4.405711435557941e-18],0,59.37550351758827],[[6.86860201817031e+37],0,0],[[2.9793076670648235e+135],0,0],[[3.4461982003189476e-271],0,61.98695648690522],[[4.994366090310223e+293],0,0],[[2.9675638609500463e-266],0,61.98698803945576],[[8.497595544438243e+196],0,0],[[3.7184381896827443e-109],0,61.98875492424266],[[9.342278142177427e-261],0,61.987023190716776],[[1.5030419663802974e-174],0,61.98788438458833],[[0.18720893918478226],0,54.157558648200165],[[8.713457448965708e+55],0,0],[[1.3423233293291483e-162],0,61.98803709708888],[[1.7094985902294833e-299],0,61.98677550752825],[[6.443766269775323e+116],0,0],[[1.2878875837081438e-81],0,61.63844945637589],[[3.802507995980374e-176],0,61.98786397761834],[[1.2952736416079913e-172],0,61.987909116764655],[[2.220662619570457e+252],0,0],[[3.61050150366864e+208],0,0],[[9.426838129136436e+163],0,0],[[4.678580995434083e-146],0,61.988248453024944],[[2.6773769570729964e-91],0,61.80315931703899],[[1.0258897434193047e+31],0,0],[[3.867922064222235e-78],0,61.57452272457299],[[6.811775981980025e+18],0,0],[[1.4782394318457476e-109],0,61.98874469143048],[[6.125036550218122e+186],0,0],[[2.738458460650558e+50],0,0],[[1.2054688632397534e+33],0,0],[[1.692419472494387e-152],0,61.98816615404961],[[3.496596375732988e-212],0,61.98740338748316],[[7.5963065745174464e-06],0,57.51970968689206],[[1.6348045764158446e-257],0,61.987043924201195],[[4.821955799677156e-289],0,61.98684232995494],[[1.7483065599934842e+85],0,0],[[0.060556571647326925],0,55.156616214018854],[[1.8480052807692756e-77],0,61.561685627733326],[[8.452451609890028e+85],0,0],[[3.450903835999846e-213],0,61.98739053112064],[[4.495110039324184e-82],0,61.64675958623576],[[2.229461735274287e-223],0,61.98726213897867],[[5.741222418922647e-41],0,60.61807884914995],[[7.0181404927126106e+305],0,0],[[3.6484688752466967e-69],0,61.394756509383484],[[5.094611782176626e-183],0,61.98777614403755]],"fresh-alts":["#"],"picked-error":31.49614454427211,"best-alt-per-point":[[[1.3073288890631414e+280],1,0],[[3.2964836323184035e-155],0,0],[[9.475383647572687e+150],1,0],[[1.5628986347380075e+167],1,0],[[8.340556674905215e+77],1,0],[[7.077452111412406e-295],0,0],[[3.966194599780254e-223],0,0],[[3.7838902349270595e+124],1,0],[[4.700763524863875e+204],1,0],[[7.759258852634933e-78],0,0],[[20833.64667003459],1,7.622051819456376],[[2.4398615081868066e+205],1,0],[[2.3948670500504287e-261],0,0],[[6.2092037474963055e+231],1,0],[[2.3255349808732236e+289],1,0],[[6.413626161349299e-227],0,0],[[560488966.1174189],1,0],[[2.0882744776400718e-286],0,0],[[1.751208589172235e-52],0,0],[[2.9688880181416084],2,0],[[3.981491076325477e+229],1,0],[[1.6703871447091801e-184],0,0],[[3.294798454877577e-109],0,0],[[5.873882793788073e+304],1,0],[[1.9827401749271262e+183],1,0],[[2.468160393597418e+16],1,0],[[2.339761031458555e-169],0,0],[[3.943485742551043e+214],1,0],[[8.23935440322281e-255],0,0],[[1.2414218620136766e+210],1,0],[[4.2958727261014584e+36],1,0],[[6.328184874755262e+301],1,0],[[1.7255846811749406e-291],0,0],[[9.723806270790304e+261],1,0],[[3.669186107808967e-292],0,0],[[1.4160598314001593e+222],1,0],[[7.17939675829627e-158],0,0],[[5.706174991628051e-294],0,0],[[1.6543220134558954e+211],1,0],[[1.0871440614151498e+289],1,0],[[4.876905254991102e+285],1,0],[[1.2894750780678564e+300],1,0],[[1.4618355052890434e+227],1,0],[[3.043685036732137e-200],0,0],[[1.4920285944075702e-53],0,0],[[7.628653541085044e+123],1,0],[[4.493452818771822e-125],0,0],[[1.4342996382753786e-68],0,0],[[1.0963301159009184e-183],0,0],[[3.231394614843413e+95],1,0],[[8.895467702359268e-17],0,0],[[7.084339583278926e+216],1,0],[[3.879381526714617e+231],1,0],[[1.1166277726761266e+39],1,0],[[1.8687286825225081e+205],1,0],[[2.8321391439452527e-177],0,0],[[1.0865881933967427e-239],0,0],[[1.0321884324238089e-204],0,0],[[2.194953362823915e+177],1,0],[[1.3687884379108643e+17],1,0],[[3.468363920687483e-275],0,0],[[9.235058182301351e-298],0,0],[[1.3508330812519037e-42],0,0],[[3.258549790458107e-45],0,0],[[2.1316535898912934e-76],0,0],[[2.2420303907903802e-68],0,0],[[5.776745162887772e-81],0,0],[[2.3939618552975763e+242],1,0],[[3.161587187966589e+82],1,0],[[3.2633957345317127e+251],1,0],[[2.0474783165414538e-126],0,0],[[5.5609724703152094e-123],0,0],[[4.871284163370267e-185],0,0],[[1.9117791443554203e-134],0,0],[[788647938.445347],1,0],[[7.4751406322111975e-208],0,0],[[7.348751680152543e-306],0,0],[[5.656765710936691e-76],0,0],[[1.961831527193424e-60],0,0],[[7.655606647706524e-307],0,0],[[1.027405627074826e+260],1,0],[[9.383817895669287e-283],0,0],[[3.611278323934413e-94],0,0],[[1.6564415223201099e+136],1,0],[[1.4448618247603424e-257],0,0],[[3.706054342154294e-129],0,0],[[7.195448856340728e-141],0,0],[[3384824.3314616154],1,0],[[2.6544319953421338e+293],1,0],[[1.1509772202461854e+130],1,0],[[7.876423561266471e+22],1,0],[[2.809919074811328e-300],0,0],[[2.1859104172563636e-264],0,0],[[9.260475542482052e+299],1,0],[[8.359355849775862e-16],0,0],[[1.3310146389530143e+163],1,0],[[4.6811315760090616e-144],0,0],[[2.043780925156358e+88],1,0],[[1.046624167704608e-163],0,0],[[3.4631943627882644e+200],1,0],[[4.648142651511719e+239],1,0],[[5.903833024524204e-224],0,0],[[6.75061600976492e-09],0,0],[[4.0526523047213233e+244],1,0],[[1.5043274345617834e+228],1,0],[[9.861253466270416e+140],1,0],[[6.509917256919526e-155],0,0],[[2.0740305822111617e-302],0,0],[[2.156659933698441e+65],1,0],[[5.582278109308679e-72],0,0],[[1.329109205730971e+18],1,0],[[2.480190476546545e-246],0,0],[[7.542398567020551e-205],0,0],[[3.211003609332114e-292],0,0],[[4.607613593823294e-213],0,0],[[1.705817703400908e+63],1,0],[[2.0974429565133816e-215],0,0],[[8.530068169212586e+207],1,0],[[2.905639146095198e+214],1,0],[[3.554023312793441e+160],1,0],[[1.51646550817889e-257],0,0],[[9.88160538195634e+236],1,0],[[2.3719183352628996e+212],1,0],[[1.1988791635038015e-56],0,0],[[3.50550012204851e-33],0,0],[[1.708686197016133e+79],1,0],[[1.0057242501199301e-254],0,0],[[1.099315532911349e-23],0,0],[[1.4540832115601766e+80],1,0],[[3.224104279734413e-128],0,0],[[3.8655618297451507e+264],1,0],[[6.029252458259788e+248],1,0],[[2.45682697544046e-235],0,0],[[4.65318267035879e+212],1,0],[[1.7198556401156944e+40],1,0],[[5.394314721089183e-302],0,0],[[3.6553350706241625e-209],0,0],[[5.073224629669749e-209],0,0],[[2.2777945340735493e-276],0,0],[[1.6219172946297815e+205],1,0],[[2.5842129352573833e+157],1,0],[[2.03476018732095e+119],1,0],[[2.3993845233584173e-107],0,0],[[6.8367221822693645e+171],1,0],[[3.637969744290734e+272],1,0],[[3.6070289902878433e-298],0,0],[[2.4220868488775713e+174],1,0],[[1.4680641340515712e+37],1,0],[[2.130535351053153e+251],1,0],[[9.732025433837372e-298],0,0],[[4.3186153363237085e+196],1,0],[[4.717376995390811e-229],0,0],[[7.890896542811938e+189],1,0],[[1.921602658997656e+224],1,0],[[7.317333208039203e-135],0,0],[[6.639161457381533e+272],1,0],[[7.51766164914667e-83],0,0],[[1.2494134226790036e-90],0,0],[[5.2370439997769816e-251],0,0],[[2.29835853317011e+39],1,0],[[3.8297412694520027e-72],0,0],[[9.751429336071956e-111],0,0],[[3.4632829335752192e-251],0,0],[[1.8598894186132259e+137],1,0],[[2.9019277223709396e-286],0,0],[[5.463725192370479e+166],1,0],[[1.2810755089251013e+75],1,0],[[9.138814505421974e-66],0,0],[[2.6556986431700894e-172],0,0],[[3.515792627928699e+199],1,0],[[9.597291263463799e+33],1,0],[[1.8150897130550793e+234],1,0],[[3.165542051316829e+57],1,0],[[1.579252672267158e+84],1,0],[[1.1209809220161085e-271],0,0],[[2.34479875841816e+59],1,0],[[5.702786507831075e+76],1,0],[[8.045725952292009e+27],1,0],[[7.810899588463585e-172],0,0],[[9.291488452698296e+167],1,0],[[3.7649062113016876e-174],0,0],[[3.247555001847955e-09],0,0],[[9.099484178294087e-276],0,0],[[1.2224178423718919e+201],1,0],[[3.264541092685341e+28],1,0],[[9.725416649719138e+252],1,0],[[6.950896233858705e-22],0,0],[[4.4532169971988716e-248],0,0],[[1.1685596793963991e+198],1,0],[[3.272100701705269e+216],1,0],[[7.435874100938545e+127],1,0],[[1.7367008233662004e-146],0,0],[[3.241242127032787e+189],1,0],[[1.710179159392655e-230],0,0],[[1.7761334469972786e+272],1,0],[[1.2314425699492343e+144],1,0],[[1.7931450786375e+207],1,0],[[6.7889504343027e+141],1,0],[[3.717688415206528e-63],0,0],[[4.2329024975964494e-120],0,0],[[1.5110472870035968e-137],0,0],[[1.6394729264619353e-305],0,0],[[1.273007442525311e+205],1,0],[[9.790032000289722e-170],0,0],[[1.748601585802626e+143],1,0],[[6.1586742802359446e+280],1,0],[[1.4196179692273589e+51],1,0],[[2.0434027565243845e+254],1,0],[[15210.1761529531],1,8.434628227636725],[[3.865070822820752e-125],0,0],[[4.405711435557941e-18],0,0],[[6.86860201817031e+37],1,0],[[2.9793076670648235e+135],1,0],[[3.4461982003189476e-271],0,0],[[4.994366090310223e+293],1,0],[[2.9675638609500463e-266],0,0],[[8.497595544438243e+196],1,0],[[3.7184381896827443e-109],0,0],[[9.342278142177427e-261],0,0],[[1.5030419663802974e-174],0,0],[[0.18720893918478226],0,0],[[8.713457448965708e+55],1,0],[[1.3423233293291483e-162],0,0],[[1.7094985902294833e-299],0,0],[[6.443766269775323e+116],1,0],[[1.2878875837081438e-81],0,0],[[3.802507995980374e-176],0,0],[[1.2952736416079913e-172],0,0],[[2.220662619570457e+252],1,0],[[3.61050150366864e+208],1,0],[[9.426838129136436e+163],1,0],[[4.678580995434083e-146],0,0],[[2.6773769570729964e-91],0,0],[[1.0258897434193047e+31],1,0],[[3.867922064222235e-78],0,0],[[6.811775981980025e+18],1,0],[[1.4782394318457476e-109],0,0],[[6.125036550218122e+186],1,0],[[2.738458460650558e+50],1,0],[[1.2054688632397534e+33],1,0],[[1.692419472494387e-152],0,0],[[3.496596375732988e-212],0,0],[[7.5963065745174464e-06],0,0],[[1.6348045764158446e-257],0,0],[[4.821955799677156e-289],0,0],[[1.7483065599934842e+85],1,0],[[0.060556571647326925],0,0],[[1.8480052807692756e-77],0,0],[[8.452451609890028e+85],1,0],[[3.450903835999846e-213],0,0],[[4.495110039324184e-82],0,0],[[2.229461735274287e-223],0,0],[[5.741222418922647e-41],0,0],[[7.0181404927126106e+305],1,0],[[3.6484688752466967e-69],0,0],[[5.094611782176626e-183],0,0]],"picked":"(λ (N) (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 1/3 N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/3 -1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) in N * [misc]taylor: Taking taylor expansion of (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) in N * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) in N * [misc]taylor: Taking taylor expansion of (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) in N * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1/3 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 (/ 1 N))) (/ (/ 1/3 (/ 1 N)) (/ 1 N))) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 (/ 1 N))) (/ (/ 1/3 (/ 1 N)) (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (- 1 (/ 1/2 (/ 1 N))) (/ (/ 1/3 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 (/ 1 N))) (/ (/ 1/3 (/ 1 N)) (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (- 1 (/ 1/2 (/ 1 N))) (/ (/ 1/3 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 1) (+ (* 1 (/ 0 1)) (* -1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 (/ 1 (- N)))) (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N)))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 (/ 1 (- N)))) (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (- 1 (/ 1/2 (/ 1 (- N)))) (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (- 1 (/ 1/2 (/ 1 (- N)))) (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (- 1 (/ 1/2 (/ 1 (- N)))) (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 -1) (+ (* -1 (/ 0 -1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 -1) (+ (* -1 (/ 0 -1)) (* -1/2 (/ 0 -1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1/2 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* -1/2 (/ 1 N))) into (- 1 (* 1/2 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 N)) 1) into (- 1 (* 1/2 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (- N))) 1) into (- 1 (* 1/2 (/ 1 N))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 1/3 N)) * [exit]simplify: Simplified to (log (/ 1/3 N)) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 1/3 N)) * [exit]simplify: Simplified to (exp (/ 1/3 N)) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * [enter]simplify: Simplifying (cbrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 1/3 N)) * [exit]simplify: Simplified to (cbrt (/ 1/3 N)) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (pow (/ 1/3 N) 3) * [exit]simplify: Simplified to (pow (/ 1/3 N) 3) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [enter]simplify: Simplifying (sqrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/3) * [exit]simplify: Simplified to (- 1/3) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N 1/3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ N 1/3) * [exit]simplify: Simplified to (/ N 1/3) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (log (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (exp (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) * [enter]simplify: Simplifying (cbrt (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (cbrt (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1/3 N) N) (/ (/ 1/3 N) N)) (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/3 N) N) 3) * [exit]simplify: Simplified to (pow (/ (/ 1/3 N) N) 3) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * [enter]simplify: Simplifying (sqrt (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/3 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- 1/3) N) * [exit]simplify: Simplified to (/ (- 1/3) N) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1/3 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ N (/ 1/3 N)) * [exit]simplify: Simplified to (/ N (/ 1/3 N)) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (/ 1/3 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (cbrt (/ 1/3 N))) * [exit]simplify: Simplified to (/ N (cbrt (/ 1/3 N))) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (/ 1/3 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (sqrt (/ 1/3 N))) * [exit]simplify: Simplified to (/ N (sqrt (/ 1/3 N))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1/3 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ N (/ 1/3 N)) * [exit]simplify: Simplified to (/ N (/ 1/3 N)) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (log (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (exp (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) (cbrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [enter]simplify: Simplifying (cbrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (cbrt (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * [enter]simplify: Simplifying (sqrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) 1) (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (- (- (/ 1/2 N) 1) (/ (/ 1/3 N) N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * [enter]simplify: Simplifying (/ (- (/ 1/2 N) (/ (/ 1/3 N) N)) N) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) * [exit]simplify: Simplified to (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ N (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * [exit]simplify: Simplified to (/ N (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ N (sqrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * [exit]simplify: Simplified to (/ N (sqrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (* (+ (* 1 1) (+ (* (/ 1/2 N) (/ 1/2 N)) (* 1 (/ 1/2 N)))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (+ (* N (+ 1/2 N)) (* 1/2 1/2)) * [exit]simplify: Simplified to (+ (* N (+ 1/2 N)) (* 1/2 1/2)) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (* (+ 1 (/ 1/2 N)) N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ 1/2 N) N) * [exit]simplify: Simplified to (* (+ 1/2 N) N) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ (* (- 1 (/ 1/2 N)) (- 1 (/ 1/2 N))) (- (* (/ (/ 1/3 N) N) (/ (/ 1/3 N) N)) (* (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) (* (/ N N) (/ 1/3 N))) (* (* (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (+ (* (- (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) (* (/ N N) (/ 1/3 N))) (* (* (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (- (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (- (- 1/2) (- (/ 1/3 N) N)) * [exit]simplify: Simplified to (- (- 1/2) (- (/ 1/3 N) N)) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (log (- 1 (/ 1/2 N))) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (exp (- 1 (/ 1/2 N))) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (/ 1/2 N))) (cbrt (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (/ 1/2 N))) (cbrt (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (* (cbrt (- 1 (/ 1/2 N))) (cbrt (- 1 (/ 1/2 N)))) * [enter]simplify: Simplifying (cbrt (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (cbrt (- 1 (/ 1/2 N))) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- 1 (/ 1/2 N)) (- 1 (/ 1/2 N))) (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (pow (- 1 (/ 1/2 N)) 3) * [exit]simplify: Simplified to (pow (- 1 (/ 1/2 N)) 3) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (sqrt (- 1 (/ 1/2 N))) * [enter]simplify: Simplifying (sqrt (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (sqrt (- 1 (/ 1/2 N))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (/ 1/2 N) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (- 1 (pow (/ 1/2 N) 3)) * [exit]simplify: Simplified to (- 1 (pow (/ 1/2 N) 3)) * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (/ 1/2 N) (/ 1/2 N)) (* 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (+ (+ 1 (/ 1/2 N)) (* (/ 1/2 N) (/ 1/2 N))) * [exit]simplify: Simplified to (+ (+ 1 (/ 1/2 N)) (* (/ 1/2 N) (/ 1/2 N))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/2 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- 1/2) N) * [exit]simplify: Simplified to (/ (- 1/2) N) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (/ 1/2 N) (/ 1/2 N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- 1 (* (/ 1/2 N) (/ 1/2 N))) * [exit]simplify: Simplified to (- 1 (* (/ 1/2 N) (/ 1/2 N))) * [enter]simplify: Simplifying (+ 1 (/ 1/2 N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (/ 1/2 N) 1) * [exit]simplify: Simplified to (+ (/ 1/2 N) 1) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/2 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- 1/2) N) * [exit]simplify: Simplified to (/ (- 1/2) N) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (/ 1/2 N)) (/ 1/3 (pow N 2))) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (/ 1/2 N)) (/ 1/3 (pow N 2))) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (/ 1/2 N)) (/ 1/3 (pow N 2))) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (* 1/2 (/ 1 N))) (/ (/ 1/3 N) N)) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (* 1/2 (/ 1 N))) (/ (/ 1/3 N) N)) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- 1 (* 1/2 (/ 1 N))) (/ (/ 1/3 N) N)) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: searching between 0.2902984812372864 and 6.574329703035175e-05 on (- (log (+ N 1)) (log N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 15210.1761529531 and 2.9688880181416084 on N * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 0.292838302838202 and 6.57432970306258e-05 on (* (* (cbrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) (cbrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N))) (cbrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 0.6640630163179885 and 0.04035993827729255 on (cbrt (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 0.29283830283820217 and 6.574329703062584e-05 on (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 1 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * [misc]regimes: searching between 0.2928383028382022 and 6.574329703062584e-05 on (/ (+ (- 1 (/ 1/2 N)) (log (exp (/ (/ 1/3 N) N)))) N) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 1 have 3 / 16 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * [misc]regimes: searching between 0.29029848123728647 and 6.5743297030597e-05 on (log (/ (+ N 1) N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * [misc]regimes: searching between 1.3368264460934285 and 1.0000657454581685 on (/ (+ N 1) N) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 3 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 3 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * [misc]regimes: searching between 0.2902984812372864 and 6.574329703035175e-05 on (- (* (sqrt (log (+ N 1))) (sqrt (log (+ N 1)))) (log N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ N 1)) (log N)) 6.718382873077259e-05) #s(sp 1 (- (log (+ N 1)) (log N)) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (- (log (+ N 1)) (log N)) 6.718382873077259e-05) (/ (+ (- 1 (/ 1/2 N)) (log (exp (/ (/ 1/3 N) N)))) N) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * [exit]simplify: Simplified to (if (<= (- (log (+ N 1)) (log N)) 6.718382873077259e-05) (/ (+ (- 1 (/ 1/2 N)) (log (exp (/ (/ 1/3 N) N)))) N) (log (/ (+ N 1) N))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4002 additional inputs, on iter 1 have 3998 / 8000 * * * * [misc]points: Computing exacts on every 250 of 4002 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 4002 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 4002 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 4002 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 4002 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 4002 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 4002 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 4002 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2010 additional inputs, on iter 2 have 5990 / 8000 * * * * [misc]points: Computing exacts on every 125 of 2010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 2010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 2010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 2010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 2010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 2010 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2010 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1011 additional inputs, on iter 3 have 6989 / 8000 * * * * [misc]points: Computing exacts on every 63 of 1011 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 1011 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 1011 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1011 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1011 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1011 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 516 additional inputs, on iter 4 have 7484 / 8000 * * * * [misc]points: Computing exacts on every 32 of 516 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 516 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 516 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 516 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 516 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 516 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 276 additional inputs, on iter 5 have 7724 / 8000 * * * * [misc]points: Computing exacts on every 17 of 276 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 276 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 276 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 276 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 276 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 135 additional inputs, on iter 6 have 7865 / 8000 * * * * [misc]points: Computing exacts on every 8 of 135 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 135 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 135 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 135 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 73 additional inputs, on iter 7 have 7927 / 8000 * * * * [misc]points: Computing exacts on every 4 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 73 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 39 additional inputs, on iter 8 have 7961 / 8000 * * * * [misc]points: Computing exacts on every 2 of 39 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 39 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 19 additional inputs, on iter 9 have 7981 / 8000 * * * * [misc]points: Computing exacts for 19 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs