* [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:  Computing exacts on every 8 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:  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
* * * * [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 (- (atan (+ N 1)) (atan 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 (- (atan (+ 1 N)) (atan N))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 1
* [misc]none:  All alts: 1
* [misc]none:  Fresh alt: (λ (N) (- (atan (+ N 1)) (atan N)))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (N) (- (atan (+ N 1)) (atan N))): 0
* [misc]none:  Best fresh alt per point
* [misc]none:  (4.116349531400419e+59): 0
* [misc]none:  (3.7023764599519414e+64): 0
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 0
* [misc]none:  (-5.655718042216706e-88): 0
* [misc]none:  (-1.454645223881282e+52): 0
* [misc]none:  (3.19314088639968e-300): 0
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 0
* [misc]none:  (2.6209483109511002e-99): 0
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 0
* [misc]none:  (-1.184307734105162e-152): 0
* [misc]none:  (3.9436987604242746e-188): 0
* [misc]none:  (1.2987545615858837e-229): 0
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 0
* [misc]none:  (1.3556558330338219e-279): 0
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 0
* [misc]none:  (7.360949206952843e-212): 0
* [misc]none:  (3.6323351005324725e+74): 0
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 0
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 0
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 0
* [misc]none:  (-2.4730898186525758e+92): 0
* [misc]none:  (1.1766044207630259e-195): 0
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 0
* [misc]none:  (3.125863179986306e-134): 0
* [misc]none:  (-8.950192398328319e-216): 0
* [misc]none:  (-2.304991300802574e+103): 0
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 0
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 0
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 0
* [misc]none:  (1.716393032678617e+87): 0
* [misc]none:  (-3.2028793163485514e-267): 0
* [misc]none:  (-5.767560760391122e-80): 0
* [misc]none:  (3.087465078472461e-297): 0
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 0
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 0
* [misc]none:  (-5.923298684844267e+94): 0
* [misc]none:  (2.112352033422511e-76): 0
* [misc]none:  (-1.4985268459995148e-46): 0
* [misc]none:  (5.682432409793209e-103): 0
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 0
* [misc]none:  (2.296991649120878e+37): 0
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 0
* [misc]none:  (-4.885442056107934e-227): 0
* [misc]none:  (3.9227841234365035e+76): 0
* [misc]none:  (-3.356284453668777e-114): 0
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 0
* [misc]none:  (1.939469755263449e-274): 0
* [misc]none:  (2.0558821145728443e-244): 0
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 0
* [misc]none:  (7.118304679887613e-64): 0
* [misc]none:  (2.3966615634258388e-54): 0
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 0
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 0
* [misc]none:  (-2.9085637996437565e-109): 0
* [misc]none:  (-6.751934028520499e-153): 0
* [misc]none:  (1.0609576781328471e-51): 0
* [misc]none:  (-2.9598382711916395e-27): 0
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 0
* [misc]none:  (-3.868414697676859e-187): 0
* [misc]none:  (-7.980669295696735e+44): 0
* [misc]none:  (127403.86295705284): 0
* [misc]none:  (-0.00034026123764188893): 0
* [misc]none:  (-4.6106017244707195e+85): 0
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 0
* [misc]none:  (-3.37039684741933e-178): 0
* [misc]none:  (-2.4597612805403014e-225): 0
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 0
* [misc]none:  (2.0217918620332625e-85): 0
* [misc]none:  (5.6334012743355e-180): 0
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 0
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 0
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 0
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 0
* [misc]none:  (-4.494398935743406e-151): 0
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 0
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 0
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 0
* [misc]none:  (-7.966969819213301e-111): 0
* [misc]none:  (-2.0310019187041234e+101): 0
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 0
* [misc]none:  (5.834035641946906e-257): 0
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 0
* [misc]none:  (-1.7127652241866663e-27): 0
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 0
* [misc]none:  (-1.933548091484468e-204): 0
* [misc]none:  (-1.947707196703237e+130): 0
* [misc]none:  (-1.2654394089404018e+152): 0
* [misc]none:  (-1.9108430739228874e-168): 0
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 0
* [misc]none:  (5.976566162781828e-262): 0
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 0
* [misc]none:  (1.638426277474575e-287): 0
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 0
* [misc]none:  (-1.0864842934460505e-25): 0
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 0
* [misc]none:  (-1.142257873712315e-49): 0
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 0
* [misc]none:  (7.549936203493533e-264): 0
* [misc]none:  (-7.706007717334245e-133): 0
* [misc]none:  (-3.852230944737251e+125): 0
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 0
* [misc]none:  (-1.2153695779764702e-107): 0
* [misc]none:  (-5.6718708555151934e-182): 0
* [misc]none:  (-6.791163764654487e+57): 0
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 0
* [misc]none:  (1.9978503540907537e+101): 0
* [misc]none:  (-36.06203897217008): 0
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 0
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 0
* [misc]none:  (1.2154965615643017e-95): 0
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 0
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 0
* [misc]none:  (-1.7028093168367145e-212): 0
* [misc]none:  (-3.61122588585932e-122): 0
* [misc]none:  (-4.1072671632900297e-249): 0
* [misc]none:  (1.2926844442603449e-272): 0
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 0
* [misc]none:  (8.02593234133885e-135): 0
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 0
* [misc]none:  (-1.1940600737652846e+124): 0
* [misc]none:  (-1.3488399650730669e+44): 0
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 0
* [misc]none:  (4.693484541613577e-225): 0
* [misc]none:  (-6.27613587070019e-241): 0
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 0
* [misc]none:  (1.9700593229138827e-50): 0
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 0
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 0
* [misc]none:  (-1.9062985237621918e-44): 0
* [misc]none:  (-7.188940579708169e-182): 0
* [misc]none:  (-3.5617683302613897e-208): 0
* [misc]none:  (3.049268063166789e-38): 0
* [misc]none:  (-3.2414750156447513e-81): 0
* [misc]none:  (-9.695048812228804e-33): 0
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 0
* [misc]none:  (-1.4358426706351876e-229): 0
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 0
* [misc]none:  (-1.367452993894295e-129): 0
* [misc]none:  (6.343584508561789e+87): 0
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 0
* [misc]none:  (-72190905149076.94): 0
* [misc]none:  (3.388041199273477e-265): 0
* [misc]none:  (3.7476721237841876e-281): 0
* [misc]none:  (4.811543151950025e-33): 0
* [misc]none:  (-9.85118113779452e-207): 0
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 0
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 0
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 0
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 0
* [misc]none:  (3.82956155404422e-299): 0
* [misc]none:  (-3.302434769770763e+39): 0
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 0
* [misc]none:  (-7.731583384630845e+52): 0
* [misc]none:  (-8.347536812100916e-44): 0
* [misc]none:  (-2.710750607360271e-260): 0
* [misc]none:  (4.296582624822391e-200): 0
* [misc]none:  (1.733700273392293e+77): 0
* [misc]none:  (-2.8582758774924267e-140): 0
* [misc]none:  (9.139158849230913e-305): 0
* [misc]none:  (6.683383915725252e-271): 0
* [misc]none:  (1.830961252259433e-59): 0
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 0
* [misc]none:  (4.068667347744151e-179): 0
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 0
* [misc]none:  (-2.7764650204569527e-216): 0
* [misc]none:  (-3.81685776062912e-89): 0
* [misc]none:  (3.853952974089327e-228): 0
* [misc]none:  (-5.100815418059268e-90): 0
* [misc]none:  (6.487293944891719e+78): 0
* [misc]none:  (6.009493492582987e-296): 0
* [misc]none:  (-1.157925061166081e-58): 0
* [misc]none:  All alt indexes
* [misc]none:  (λ (N) (- (atan (+ N 1)) (atan N))): 0
* [misc]none:  Best alt per point
* [misc]none:  (4.116349531400419e+59): 0
* [misc]none:  (3.7023764599519414e+64): 0
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 0
* [misc]none:  (-5.655718042216706e-88): 0
* [misc]none:  (-1.454645223881282e+52): 0
* [misc]none:  (3.19314088639968e-300): 0
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 0
* [misc]none:  (2.6209483109511002e-99): 0
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 0
* [misc]none:  (-1.184307734105162e-152): 0
* [misc]none:  (3.9436987604242746e-188): 0
* [misc]none:  (1.2987545615858837e-229): 0
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 0
* [misc]none:  (1.3556558330338219e-279): 0
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 0
* [misc]none:  (7.360949206952843e-212): 0
* [misc]none:  (3.6323351005324725e+74): 0
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 0
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 0
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 0
* [misc]none:  (-2.4730898186525758e+92): 0
* [misc]none:  (1.1766044207630259e-195): 0
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 0
* [misc]none:  (3.125863179986306e-134): 0
* [misc]none:  (-8.950192398328319e-216): 0
* [misc]none:  (-2.304991300802574e+103): 0
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 0
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 0
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 0
* [misc]none:  (1.716393032678617e+87): 0
* [misc]none:  (-3.2028793163485514e-267): 0
* [misc]none:  (-5.767560760391122e-80): 0
* [misc]none:  (3.087465078472461e-297): 0
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 0
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 0
* [misc]none:  (-5.923298684844267e+94): 0
* [misc]none:  (2.112352033422511e-76): 0
* [misc]none:  (-1.4985268459995148e-46): 0
* [misc]none:  (5.682432409793209e-103): 0
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 0
* [misc]none:  (2.296991649120878e+37): 0
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 0
* [misc]none:  (-4.885442056107934e-227): 0
* [misc]none:  (3.9227841234365035e+76): 0
* [misc]none:  (-3.356284453668777e-114): 0
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 0
* [misc]none:  (1.939469755263449e-274): 0
* [misc]none:  (2.0558821145728443e-244): 0
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 0
* [misc]none:  (7.118304679887613e-64): 0
* [misc]none:  (2.3966615634258388e-54): 0
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 0
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 0
* [misc]none:  (-2.9085637996437565e-109): 0
* [misc]none:  (-6.751934028520499e-153): 0
* [misc]none:  (1.0609576781328471e-51): 0
* [misc]none:  (-2.9598382711916395e-27): 0
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 0
* [misc]none:  (-3.868414697676859e-187): 0
* [misc]none:  (-7.980669295696735e+44): 0
* [misc]none:  (127403.86295705284): 0
* [misc]none:  (-0.00034026123764188893): 0
* [misc]none:  (-4.6106017244707195e+85): 0
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 0
* [misc]none:  (-3.37039684741933e-178): 0
* [misc]none:  (-2.4597612805403014e-225): 0
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 0
* [misc]none:  (2.0217918620332625e-85): 0
* [misc]none:  (5.6334012743355e-180): 0
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 0
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 0
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 0
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 0
* [misc]none:  (-4.494398935743406e-151): 0
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 0
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 0
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 0
* [misc]none:  (-7.966969819213301e-111): 0
* [misc]none:  (-2.0310019187041234e+101): 0
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 0
* [misc]none:  (5.834035641946906e-257): 0
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 0
* [misc]none:  (-1.7127652241866663e-27): 0
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 0
* [misc]none:  (-1.933548091484468e-204): 0
* [misc]none:  (-1.947707196703237e+130): 0
* [misc]none:  (-1.2654394089404018e+152): 0
* [misc]none:  (-1.9108430739228874e-168): 0
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 0
* [misc]none:  (5.976566162781828e-262): 0
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 0
* [misc]none:  (1.638426277474575e-287): 0
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 0
* [misc]none:  (-1.0864842934460505e-25): 0
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 0
* [misc]none:  (-1.142257873712315e-49): 0
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 0
* [misc]none:  (7.549936203493533e-264): 0
* [misc]none:  (-7.706007717334245e-133): 0
* [misc]none:  (-3.852230944737251e+125): 0
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 0
* [misc]none:  (-1.2153695779764702e-107): 0
* [misc]none:  (-5.6718708555151934e-182): 0
* [misc]none:  (-6.791163764654487e+57): 0
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 0
* [misc]none:  (1.9978503540907537e+101): 0
* [misc]none:  (-36.06203897217008): 0
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 0
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 0
* [misc]none:  (1.2154965615643017e-95): 0
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 0
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 0
* [misc]none:  (-1.7028093168367145e-212): 0
* [misc]none:  (-3.61122588585932e-122): 0
* [misc]none:  (-4.1072671632900297e-249): 0
* [misc]none:  (1.2926844442603449e-272): 0
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 0
* [misc]none:  (8.02593234133885e-135): 0
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 0
* [misc]none:  (-1.1940600737652846e+124): 0
* [misc]none:  (-1.3488399650730669e+44): 0
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 0
* [misc]none:  (4.693484541613577e-225): 0
* [misc]none:  (-6.27613587070019e-241): 0
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 0
* [misc]none:  (1.9700593229138827e-50): 0
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 0
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 0
* [misc]none:  (-1.9062985237621918e-44): 0
* [misc]none:  (-7.188940579708169e-182): 0
* [misc]none:  (-3.5617683302613897e-208): 0
* [misc]none:  (3.049268063166789e-38): 0
* [misc]none:  (-3.2414750156447513e-81): 0
* [misc]none:  (-9.695048812228804e-33): 0
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 0
* [misc]none:  (-1.4358426706351876e-229): 0
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 0
* [misc]none:  (-1.367452993894295e-129): 0
* [misc]none:  (6.343584508561789e+87): 0
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 0
* [misc]none:  (-72190905149076.94): 0
* [misc]none:  (3.388041199273477e-265): 0
* [misc]none:  (3.7476721237841876e-281): 0
* [misc]none:  (4.811543151950025e-33): 0
* [misc]none:  (-9.85118113779452e-207): 0
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 0
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 0
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 0
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 0
* [misc]none:  (3.82956155404422e-299): 0
* [misc]none:  (-3.302434769770763e+39): 0
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 0
* [misc]none:  (-7.731583384630845e+52): 0
* [misc]none:  (-8.347536812100916e-44): 0
* [misc]none:  (-2.710750607360271e-260): 0
* [misc]none:  (4.296582624822391e-200): 0
* [misc]none:  (1.733700273392293e+77): 0
* [misc]none:  (-2.8582758774924267e-140): 0
* [misc]none:  (9.139158849230913e-305): 0
* [misc]none:  (6.683383915725252e-271): 0
* [misc]none:  (1.830961252259433e-59): 0
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 0
* [misc]none:  (4.068667347744151e-179): 0
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 0
* [misc]none:  (-2.7764650204569527e-216): 0
* [misc]none:  (-3.81685776062912e-89): 0
* [misc]none:  (3.853952974089327e-228): 0
* [misc]none:  (-5.100815418059268e-90): 0
* [misc]none:  (6.487293944891719e+78): 0
* [misc]none:  (6.009493492582987e-296): 0
* [misc]none:  (-1.157925061166081e-58): 0
* [misc]none:  Picked alt (λ (N) (- (atan (+ N 1)) (atan N)))
* * * * [misc]pick:  Picked  #<alt-event (λ (N) (- (atan (+ N 1)) (atan N)))>
* * * [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 (- (atan (+ N 1)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (- (atan N)) into (- (atan N))
* [misc]backup-simplify:  Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N))
* [misc]backup-simplify:  Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N))
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ 1 (/ 1 (/ 1 N)))) (atan (/ 1 (/ 1 N)))) into (- (atan (+ 1 N)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (atan (+ N 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ 1 N))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ 1 N))
* [misc]approximate:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (/ 1 N)))) into (atan (+ 1 N))
* [misc]approximate:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ 1 N))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 28 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
* [enter]simplify:  Simplifying (- (+ N 1) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (+ 1 (* (+ N 1) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (+ (+ N 1) (* N N))
* [exit]simplify:  Simplified to (+ (+ N 1) (* N N))
* * * * [misc]progress:  [ 2 / 28 ] simplifiying candidate #<alt-delta (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 3 / 28 ] simplifiying candidate #<alt-delta (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
* * * * [misc]progress:  [ 4 / 28 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (log (- (atan (+ N 1)) (atan 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 (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (log (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 5 / 28 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (exp (- (atan (+ N 1)) (atan 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 (20 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 6 / 28 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan 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 (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
* [exit]simplify:  Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
* [enter]simplify:  Simplifying (cbrt (- (atan (+ N 1)) (atan 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 (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (cbrt (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 7 / 28 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan 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 (282 enodes)
* [exit]simplify:  Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3)
* [exit]simplify:  Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3)
* * * * [misc]progress:  [ 8 / 28 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (sqrt (- (atan (+ N 1)) (atan 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 (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (atan N)))
* [enter]simplify:  Simplifying (sqrt (- (atan (+ N 1)) (atan 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 (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 9 / 28 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
* [enter]simplify:  Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan 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 (atan (+ 1 N)) 3) (* (* (atan N) (atan N)) (- (atan N))))
* [exit]simplify:  Simplified to (+ (pow (atan (+ 1 N)) 3) (* (* (atan N) (atan N)) (- (atan N))))
* [enter]simplify:  Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan 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 (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N)))
* [exit]simplify:  Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N)))
* * * * [misc]progress:  [ 10 / 28 ] simplifiying candidate #<alt-delta (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* [enter]simplify:  Simplifying (- (atan N))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (atan N))
* [exit]simplify:  Simplified to (- (atan N))
* * * * [misc]progress:  [ 11 / 28 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 12 / 28 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan 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 (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N)))
* [exit]simplify:  Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N)))
* [enter]simplify:  Simplifying (+ (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (atan (+ 1 N)) (atan N))
* [exit]simplify:  Simplified to (+ (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 13 / 28 ] simplifiying candidate #<alt-delta (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan 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 (atan (+ 1 N))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * * * [misc]progress:  [ 14 / 28 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan 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 (- (atan (+ 1 N)) (atan N))
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 15 / 28 ] simplifiying candidate #<alt-delta (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* [enter]simplify:  Simplifying (- (atan N))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (atan N))
* [exit]simplify:  Simplified to (- (atan N))
* * * * [misc]progress:  [ 16 / 28 ] simplifiying candidate #<alt-delta (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
* * * * [misc]progress:  [ 17 / 28 ] simplifiying candidate #<alt-delta (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (log (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (atan (+ 1 N)))
* [exit]simplify:  Simplified to (log (atan (+ 1 N)))
* * * * [misc]progress:  [ 18 / 28 ] simplifiying candidate #<alt-delta (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (exp (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (atan (+ 1 N)))
* [exit]simplify:  Simplified to (exp (atan (+ 1 N)))
* * * * [misc]progress:  [ 19 / 28 ] simplifiying candidate #<alt-delta (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
* [exit]simplify:  Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
* [enter]simplify:  Simplifying (cbrt (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (atan (+ 1 N)))
* [exit]simplify:  Simplified to (cbrt (atan (+ 1 N)))
* * * * [misc]progress:  [ 20 / 28 ] simplifiying candidate #<alt-delta (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ 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 (atan (+ 1 N)) 3)
* [exit]simplify:  Simplified to (pow (atan (+ 1 N)) 3)
* * * * [misc]progress:  [ 21 / 28 ] simplifiying candidate #<alt-delta (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (sqrt (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (atan (+ 1 N)))
* [exit]simplify:  Simplified to (sqrt (atan (+ 1 N)))
* [enter]simplify:  Simplifying (sqrt (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (atan (+ 1 N)))
* [exit]simplify:  Simplified to (sqrt (atan (+ 1 N)))
* * * * [misc]progress:  [ 22 / 28 ] simplifiying candidate #<alt-delta (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
* * * * [misc]progress:  [ 23 / 28 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan 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 (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 24 / 28 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan 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 (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 25 / 28 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan 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 (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 26 / 28 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan 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 (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 27 / 28 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan 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 (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 28 / 28 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan 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 (- (atan (+ N 1)) (atan N))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 1
* [misc]none:  All alts: 1
* [misc]none:  Fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 0
* [misc]none:  Best fresh alt per point
* [misc]none:  (4.116349531400419e+59): 0
* [misc]none:  (3.7023764599519414e+64): 0
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 0
* [misc]none:  (-5.655718042216706e-88): 0
* [misc]none:  (-1.454645223881282e+52): 0
* [misc]none:  (3.19314088639968e-300): 0
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 0
* [misc]none:  (2.6209483109511002e-99): 0
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 0
* [misc]none:  (-1.184307734105162e-152): 0
* [misc]none:  (3.9436987604242746e-188): 0
* [misc]none:  (1.2987545615858837e-229): 0
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 0
* [misc]none:  (1.3556558330338219e-279): 0
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 0
* [misc]none:  (7.360949206952843e-212): 0
* [misc]none:  (3.6323351005324725e+74): 0
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 0
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 0
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 0
* [misc]none:  (-2.4730898186525758e+92): 0
* [misc]none:  (1.1766044207630259e-195): 0
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 0
* [misc]none:  (3.125863179986306e-134): 0
* [misc]none:  (-8.950192398328319e-216): 0
* [misc]none:  (-2.304991300802574e+103): 0
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 0
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 0
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 0
* [misc]none:  (1.716393032678617e+87): 0
* [misc]none:  (-3.2028793163485514e-267): 0
* [misc]none:  (-5.767560760391122e-80): 0
* [misc]none:  (3.087465078472461e-297): 0
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 0
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 0
* [misc]none:  (-5.923298684844267e+94): 0
* [misc]none:  (2.112352033422511e-76): 0
* [misc]none:  (-1.4985268459995148e-46): 0
* [misc]none:  (5.682432409793209e-103): 0
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 0
* [misc]none:  (2.296991649120878e+37): 0
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 0
* [misc]none:  (-4.885442056107934e-227): 0
* [misc]none:  (3.9227841234365035e+76): 0
* [misc]none:  (-3.356284453668777e-114): 0
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 0
* [misc]none:  (1.939469755263449e-274): 0
* [misc]none:  (2.0558821145728443e-244): 0
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 0
* [misc]none:  (7.118304679887613e-64): 0
* [misc]none:  (2.3966615634258388e-54): 0
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 0
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 0
* [misc]none:  (-2.9085637996437565e-109): 0
* [misc]none:  (-6.751934028520499e-153): 0
* [misc]none:  (1.0609576781328471e-51): 0
* [misc]none:  (-2.9598382711916395e-27): 0
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 0
* [misc]none:  (-3.868414697676859e-187): 0
* [misc]none:  (-7.980669295696735e+44): 0
* [misc]none:  (127403.86295705284): 0
* [misc]none:  (-0.00034026123764188893): 0
* [misc]none:  (-4.6106017244707195e+85): 0
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 0
* [misc]none:  (-3.37039684741933e-178): 0
* [misc]none:  (-2.4597612805403014e-225): 0
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 0
* [misc]none:  (2.0217918620332625e-85): 0
* [misc]none:  (5.6334012743355e-180): 0
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 0
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 0
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 0
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 0
* [misc]none:  (-4.494398935743406e-151): 0
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 0
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 0
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 0
* [misc]none:  (-7.966969819213301e-111): 0
* [misc]none:  (-2.0310019187041234e+101): 0
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 0
* [misc]none:  (5.834035641946906e-257): 0
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 0
* [misc]none:  (-1.7127652241866663e-27): 0
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 0
* [misc]none:  (-1.933548091484468e-204): 0
* [misc]none:  (-1.947707196703237e+130): 0
* [misc]none:  (-1.2654394089404018e+152): 0
* [misc]none:  (-1.9108430739228874e-168): 0
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 0
* [misc]none:  (5.976566162781828e-262): 0
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 0
* [misc]none:  (1.638426277474575e-287): 0
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 0
* [misc]none:  (-1.0864842934460505e-25): 0
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 0
* [misc]none:  (-1.142257873712315e-49): 0
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 0
* [misc]none:  (7.549936203493533e-264): 0
* [misc]none:  (-7.706007717334245e-133): 0
* [misc]none:  (-3.852230944737251e+125): 0
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 0
* [misc]none:  (-1.2153695779764702e-107): 0
* [misc]none:  (-5.6718708555151934e-182): 0
* [misc]none:  (-6.791163764654487e+57): 0
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 0
* [misc]none:  (1.9978503540907537e+101): 0
* [misc]none:  (-36.06203897217008): 0
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 0
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 0
* [misc]none:  (1.2154965615643017e-95): 0
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 0
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 0
* [misc]none:  (-1.7028093168367145e-212): 0
* [misc]none:  (-3.61122588585932e-122): 0
* [misc]none:  (-4.1072671632900297e-249): 0
* [misc]none:  (1.2926844442603449e-272): 0
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 0
* [misc]none:  (8.02593234133885e-135): 0
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 0
* [misc]none:  (-1.1940600737652846e+124): 0
* [misc]none:  (-1.3488399650730669e+44): 0
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 0
* [misc]none:  (4.693484541613577e-225): 0
* [misc]none:  (-6.27613587070019e-241): 0
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 0
* [misc]none:  (1.9700593229138827e-50): 0
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 0
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 0
* [misc]none:  (-1.9062985237621918e-44): 0
* [misc]none:  (-7.188940579708169e-182): 0
* [misc]none:  (-3.5617683302613897e-208): 0
* [misc]none:  (3.049268063166789e-38): 0
* [misc]none:  (-3.2414750156447513e-81): 0
* [misc]none:  (-9.695048812228804e-33): 0
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 0
* [misc]none:  (-1.4358426706351876e-229): 0
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 0
* [misc]none:  (-1.367452993894295e-129): 0
* [misc]none:  (6.343584508561789e+87): 0
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 0
* [misc]none:  (-72190905149076.94): 0
* [misc]none:  (3.388041199273477e-265): 0
* [misc]none:  (3.7476721237841876e-281): 0
* [misc]none:  (4.811543151950025e-33): 0
* [misc]none:  (-9.85118113779452e-207): 0
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 0
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 0
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 0
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 0
* [misc]none:  (3.82956155404422e-299): 0
* [misc]none:  (-3.302434769770763e+39): 0
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 0
* [misc]none:  (-7.731583384630845e+52): 0
* [misc]none:  (-8.347536812100916e-44): 0
* [misc]none:  (-2.710750607360271e-260): 0
* [misc]none:  (4.296582624822391e-200): 0
* [misc]none:  (1.733700273392293e+77): 0
* [misc]none:  (-2.8582758774924267e-140): 0
* [misc]none:  (9.139158849230913e-305): 0
* [misc]none:  (6.683383915725252e-271): 0
* [misc]none:  (1.830961252259433e-59): 0
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 0
* [misc]none:  (4.068667347744151e-179): 0
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 0
* [misc]none:  (-2.7764650204569527e-216): 0
* [misc]none:  (-3.81685776062912e-89): 0
* [misc]none:  (3.853952974089327e-228): 0
* [misc]none:  (-5.100815418059268e-90): 0
* [misc]none:  (6.487293944891719e+78): 0
* [misc]none:  (6.009493492582987e-296): 0
* [misc]none:  (-1.157925061166081e-58): 0
* [misc]none:  All alt indexes
* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 0
* [misc]none:  Best alt per point
* [misc]none:  (4.116349531400419e+59): 0
* [misc]none:  (3.7023764599519414e+64): 0
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 0
* [misc]none:  (-5.655718042216706e-88): 0
* [misc]none:  (-1.454645223881282e+52): 0
* [misc]none:  (3.19314088639968e-300): 0
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 0
* [misc]none:  (2.6209483109511002e-99): 0
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 0
* [misc]none:  (-1.184307734105162e-152): 0
* [misc]none:  (3.9436987604242746e-188): 0
* [misc]none:  (1.2987545615858837e-229): 0
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 0
* [misc]none:  (1.3556558330338219e-279): 0
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 0
* [misc]none:  (7.360949206952843e-212): 0
* [misc]none:  (3.6323351005324725e+74): 0
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 0
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 0
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 0
* [misc]none:  (-2.4730898186525758e+92): 0
* [misc]none:  (1.1766044207630259e-195): 0
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 0
* [misc]none:  (3.125863179986306e-134): 0
* [misc]none:  (-8.950192398328319e-216): 0
* [misc]none:  (-2.304991300802574e+103): 0
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 0
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 0
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 0
* [misc]none:  (1.716393032678617e+87): 0
* [misc]none:  (-3.2028793163485514e-267): 0
* [misc]none:  (-5.767560760391122e-80): 0
* [misc]none:  (3.087465078472461e-297): 0
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 0
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 0
* [misc]none:  (-5.923298684844267e+94): 0
* [misc]none:  (2.112352033422511e-76): 0
* [misc]none:  (-1.4985268459995148e-46): 0
* [misc]none:  (5.682432409793209e-103): 0
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 0
* [misc]none:  (2.296991649120878e+37): 0
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 0
* [misc]none:  (-4.885442056107934e-227): 0
* [misc]none:  (3.9227841234365035e+76): 0
* [misc]none:  (-3.356284453668777e-114): 0
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 0
* [misc]none:  (1.939469755263449e-274): 0
* [misc]none:  (2.0558821145728443e-244): 0
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 0
* [misc]none:  (7.118304679887613e-64): 0
* [misc]none:  (2.3966615634258388e-54): 0
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 0
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 0
* [misc]none:  (-2.9085637996437565e-109): 0
* [misc]none:  (-6.751934028520499e-153): 0
* [misc]none:  (1.0609576781328471e-51): 0
* [misc]none:  (-2.9598382711916395e-27): 0
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 0
* [misc]none:  (-3.868414697676859e-187): 0
* [misc]none:  (-7.980669295696735e+44): 0
* [misc]none:  (127403.86295705284): 0
* [misc]none:  (-0.00034026123764188893): 0
* [misc]none:  (-4.6106017244707195e+85): 0
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 0
* [misc]none:  (-3.37039684741933e-178): 0
* [misc]none:  (-2.4597612805403014e-225): 0
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 0
* [misc]none:  (2.0217918620332625e-85): 0
* [misc]none:  (5.6334012743355e-180): 0
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 0
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 0
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 0
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 0
* [misc]none:  (-4.494398935743406e-151): 0
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 0
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 0
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 0
* [misc]none:  (-7.966969819213301e-111): 0
* [misc]none:  (-2.0310019187041234e+101): 0
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 0
* [misc]none:  (5.834035641946906e-257): 0
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 0
* [misc]none:  (-1.7127652241866663e-27): 0
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 0
* [misc]none:  (-1.933548091484468e-204): 0
* [misc]none:  (-1.947707196703237e+130): 0
* [misc]none:  (-1.2654394089404018e+152): 0
* [misc]none:  (-1.9108430739228874e-168): 0
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 0
* [misc]none:  (5.976566162781828e-262): 0
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 0
* [misc]none:  (1.638426277474575e-287): 0
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 0
* [misc]none:  (-1.0864842934460505e-25): 0
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 0
* [misc]none:  (-1.142257873712315e-49): 0
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 0
* [misc]none:  (7.549936203493533e-264): 0
* [misc]none:  (-7.706007717334245e-133): 0
* [misc]none:  (-3.852230944737251e+125): 0
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 0
* [misc]none:  (-1.2153695779764702e-107): 0
* [misc]none:  (-5.6718708555151934e-182): 0
* [misc]none:  (-6.791163764654487e+57): 0
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 0
* [misc]none:  (1.9978503540907537e+101): 0
* [misc]none:  (-36.06203897217008): 0
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 0
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 0
* [misc]none:  (1.2154965615643017e-95): 0
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 0
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 0
* [misc]none:  (-1.7028093168367145e-212): 0
* [misc]none:  (-3.61122588585932e-122): 0
* [misc]none:  (-4.1072671632900297e-249): 0
* [misc]none:  (1.2926844442603449e-272): 0
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 0
* [misc]none:  (8.02593234133885e-135): 0
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 0
* [misc]none:  (-1.1940600737652846e+124): 0
* [misc]none:  (-1.3488399650730669e+44): 0
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 0
* [misc]none:  (4.693484541613577e-225): 0
* [misc]none:  (-6.27613587070019e-241): 0
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 0
* [misc]none:  (1.9700593229138827e-50): 0
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 0
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 0
* [misc]none:  (-1.9062985237621918e-44): 0
* [misc]none:  (-7.188940579708169e-182): 0
* [misc]none:  (-3.5617683302613897e-208): 0
* [misc]none:  (3.049268063166789e-38): 0
* [misc]none:  (-3.2414750156447513e-81): 0
* [misc]none:  (-9.695048812228804e-33): 0
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 0
* [misc]none:  (-1.4358426706351876e-229): 0
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 0
* [misc]none:  (-1.367452993894295e-129): 0
* [misc]none:  (6.343584508561789e+87): 0
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 0
* [misc]none:  (-72190905149076.94): 0
* [misc]none:  (3.388041199273477e-265): 0
* [misc]none:  (3.7476721237841876e-281): 0
* [misc]none:  (4.811543151950025e-33): 0
* [misc]none:  (-9.85118113779452e-207): 0
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 0
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 0
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 0
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 0
* [misc]none:  (3.82956155404422e-299): 0
* [misc]none:  (-3.302434769770763e+39): 0
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 0
* [misc]none:  (-7.731583384630845e+52): 0
* [misc]none:  (-8.347536812100916e-44): 0
* [misc]none:  (-2.710750607360271e-260): 0
* [misc]none:  (4.296582624822391e-200): 0
* [misc]none:  (1.733700273392293e+77): 0
* [misc]none:  (-2.8582758774924267e-140): 0
* [misc]none:  (9.139158849230913e-305): 0
* [misc]none:  (6.683383915725252e-271): 0
* [misc]none:  (1.830961252259433e-59): 0
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 0
* [misc]none:  (4.068667347744151e-179): 0
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 0
* [misc]none:  (-2.7764650204569527e-216): 0
* [misc]none:  (-3.81685776062912e-89): 0
* [misc]none:  (3.853952974089327e-228): 0
* [misc]none:  (-5.100815418059268e-90): 0
* [misc]none:  (6.487293944891719e+78): 0
* [misc]none:  (6.009493492582987e-296): 0
* [misc]none:  (-1.157925061166081e-58): 0
* [misc]none:  Picked alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 10 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
* * * * [misc]progress:  [ 2 / 10 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 3 / 10 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 4 / 10 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 5 / 10 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 6 / 10 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 7 / 10 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
* * * * [misc]progress:  [ 8 / 10 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 9 / 10 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 10 / 10 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 2
* [misc]none:  All alts: 3
* [misc]none:  Non-fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* [misc]none:  Fresh alt: (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 0
* [misc]none:  (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 1
* [misc]none:  Best fresh alt per point
* [misc]none:  (4.116349531400419e+59): 0
* [misc]none:  (3.7023764599519414e+64): 0
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 0
* [misc]none:  (-5.655718042216706e-88): 0
* [misc]none:  (-1.454645223881282e+52): 1
* [misc]none:  (3.19314088639968e-300): 0
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 0
* [misc]none:  (2.6209483109511002e-99): 0
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 0
* [misc]none:  (-1.184307734105162e-152): 0
* [misc]none:  (3.9436987604242746e-188): 0
* [misc]none:  (1.2987545615858837e-229): 0
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 0
* [misc]none:  (1.3556558330338219e-279): 0
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 0
* [misc]none:  (7.360949206952843e-212): 0
* [misc]none:  (3.6323351005324725e+74): 0
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 0
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 0
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 0
* [misc]none:  (-2.4730898186525758e+92): 0
* [misc]none:  (1.1766044207630259e-195): 0
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 0
* [misc]none:  (3.125863179986306e-134): 0
* [misc]none:  (-8.950192398328319e-216): 0
* [misc]none:  (-2.304991300802574e+103): 0
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 0
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 0
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 0
* [misc]none:  (1.716393032678617e+87): 1
* [misc]none:  (-3.2028793163485514e-267): 0
* [misc]none:  (-5.767560760391122e-80): 0
* [misc]none:  (3.087465078472461e-297): 0
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 0
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 0
* [misc]none:  (-5.923298684844267e+94): 0
* [misc]none:  (2.112352033422511e-76): 0
* [misc]none:  (-1.4985268459995148e-46): 0
* [misc]none:  (5.682432409793209e-103): 0
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 0
* [misc]none:  (2.296991649120878e+37): 0
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 0
* [misc]none:  (-4.885442056107934e-227): 0
* [misc]none:  (3.9227841234365035e+76): 0
* [misc]none:  (-3.356284453668777e-114): 0
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 0
* [misc]none:  (1.939469755263449e-274): 0
* [misc]none:  (2.0558821145728443e-244): 0
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 0
* [misc]none:  (7.118304679887613e-64): 0
* [misc]none:  (2.3966615634258388e-54): 0
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 0
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 0
* [misc]none:  (-2.9085637996437565e-109): 0
* [misc]none:  (-6.751934028520499e-153): 0
* [misc]none:  (1.0609576781328471e-51): 0
* [misc]none:  (-2.9598382711916395e-27): 0
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 0
* [misc]none:  (-3.868414697676859e-187): 0
* [misc]none:  (-7.980669295696735e+44): 1
* [misc]none:  (127403.86295705284): 0
* [misc]none:  (-0.00034026123764188893): 0
* [misc]none:  (-4.6106017244707195e+85): 0
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 0
* [misc]none:  (-3.37039684741933e-178): 0
* [misc]none:  (-2.4597612805403014e-225): 0
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 0
* [misc]none:  (2.0217918620332625e-85): 0
* [misc]none:  (5.6334012743355e-180): 0
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 0
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 0
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 0
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 0
* [misc]none:  (-4.494398935743406e-151): 0
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 0
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 0
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 0
* [misc]none:  (-7.966969819213301e-111): 0
* [misc]none:  (-2.0310019187041234e+101): 0
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 1
* [misc]none:  (5.834035641946906e-257): 0
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 0
* [misc]none:  (-1.7127652241866663e-27): 0
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 0
* [misc]none:  (-1.933548091484468e-204): 0
* [misc]none:  (-1.947707196703237e+130): 0
* [misc]none:  (-1.2654394089404018e+152): 0
* [misc]none:  (-1.9108430739228874e-168): 0
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 0
* [misc]none:  (5.976566162781828e-262): 0
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 0
* [misc]none:  (1.638426277474575e-287): 0
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 1
* [misc]none:  (-1.0864842934460505e-25): 0
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 0
* [misc]none:  (-1.142257873712315e-49): 0
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 0
* [misc]none:  (7.549936203493533e-264): 0
* [misc]none:  (-7.706007717334245e-133): 0
* [misc]none:  (-3.852230944737251e+125): 0
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 0
* [misc]none:  (-1.2153695779764702e-107): 0
* [misc]none:  (-5.6718708555151934e-182): 0
* [misc]none:  (-6.791163764654487e+57): 0
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 0
* [misc]none:  (1.9978503540907537e+101): 0
* [misc]none:  (-36.06203897217008): 0
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 0
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 0
* [misc]none:  (1.2154965615643017e-95): 0
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 0
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 0
* [misc]none:  (-1.7028093168367145e-212): 0
* [misc]none:  (-3.61122588585932e-122): 0
* [misc]none:  (-4.1072671632900297e-249): 0
* [misc]none:  (1.2926844442603449e-272): 0
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 0
* [misc]none:  (8.02593234133885e-135): 0
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 0
* [misc]none:  (-1.1940600737652846e+124): 0
* [misc]none:  (-1.3488399650730669e+44): 0
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 0
* [misc]none:  (4.693484541613577e-225): 0
* [misc]none:  (-6.27613587070019e-241): 0
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 0
* [misc]none:  (1.9700593229138827e-50): 0
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 0
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 0
* [misc]none:  (-1.9062985237621918e-44): 0
* [misc]none:  (-7.188940579708169e-182): 0
* [misc]none:  (-3.5617683302613897e-208): 0
* [misc]none:  (3.049268063166789e-38): 0
* [misc]none:  (-3.2414750156447513e-81): 0
* [misc]none:  (-9.695048812228804e-33): 0
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 0
* [misc]none:  (-1.4358426706351876e-229): 0
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 0
* [misc]none:  (-1.367452993894295e-129): 0
* [misc]none:  (6.343584508561789e+87): 0
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 0
* [misc]none:  (-72190905149076.94): 0
* [misc]none:  (3.388041199273477e-265): 0
* [misc]none:  (3.7476721237841876e-281): 0
* [misc]none:  (4.811543151950025e-33): 0
* [misc]none:  (-9.85118113779452e-207): 0
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 0
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 0
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 0
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 0
* [misc]none:  (3.82956155404422e-299): 0
* [misc]none:  (-3.302434769770763e+39): 0
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 0
* [misc]none:  (-7.731583384630845e+52): 0
* [misc]none:  (-8.347536812100916e-44): 0
* [misc]none:  (-2.710750607360271e-260): 0
* [misc]none:  (4.296582624822391e-200): 0
* [misc]none:  (1.733700273392293e+77): 0
* [misc]none:  (-2.8582758774924267e-140): 0
* [misc]none:  (9.139158849230913e-305): 0
* [misc]none:  (6.683383915725252e-271): 0
* [misc]none:  (1.830961252259433e-59): 0
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 0
* [misc]none:  (4.068667347744151e-179): 0
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 0
* [misc]none:  (-2.7764650204569527e-216): 0
* [misc]none:  (-3.81685776062912e-89): 0
* [misc]none:  (3.853952974089327e-228): 0
* [misc]none:  (-5.100815418059268e-90): 0
* [misc]none:  (6.487293944891719e+78): 0
* [misc]none:  (6.009493492582987e-296): 0
* [misc]none:  (-1.157925061166081e-58): 0
* [misc]none:  All alt indexes
* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 0
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 1
* [misc]none:  (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 2
* [misc]none:  Best alt per point
* [misc]none:  (4.116349531400419e+59): 0
* [misc]none:  (3.7023764599519414e+64): 0
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 0
* [misc]none:  (-5.655718042216706e-88): 0
* [misc]none:  (-1.454645223881282e+52): 0
* [misc]none:  (3.19314088639968e-300): 0
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 0
* [misc]none:  (2.6209483109511002e-99): 0
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 0
* [misc]none:  (-1.184307734105162e-152): 0
* [misc]none:  (3.9436987604242746e-188): 0
* [misc]none:  (1.2987545615858837e-229): 0
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 1
* [misc]none:  (1.3556558330338219e-279): 0
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 0
* [misc]none:  (7.360949206952843e-212): 0
* [misc]none:  (3.6323351005324725e+74): 0
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 0
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 0
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 0
* [misc]none:  (-2.4730898186525758e+92): 0
* [misc]none:  (1.1766044207630259e-195): 0
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 0
* [misc]none:  (3.125863179986306e-134): 0
* [misc]none:  (-8.950192398328319e-216): 0
* [misc]none:  (-2.304991300802574e+103): 0
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 0
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 0
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 0
* [misc]none:  (1.716393032678617e+87): 0
* [misc]none:  (-3.2028793163485514e-267): 0
* [misc]none:  (-5.767560760391122e-80): 0
* [misc]none:  (3.087465078472461e-297): 0
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 0
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 0
* [misc]none:  (-5.923298684844267e+94): 0
* [misc]none:  (2.112352033422511e-76): 0
* [misc]none:  (-1.4985268459995148e-46): 0
* [misc]none:  (5.682432409793209e-103): 0
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 0
* [misc]none:  (2.296991649120878e+37): 0
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 0
* [misc]none:  (-4.885442056107934e-227): 0
* [misc]none:  (3.9227841234365035e+76): 0
* [misc]none:  (-3.356284453668777e-114): 0
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 0
* [misc]none:  (1.939469755263449e-274): 0
* [misc]none:  (2.0558821145728443e-244): 0
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 0
* [misc]none:  (7.118304679887613e-64): 0
* [misc]none:  (2.3966615634258388e-54): 0
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 0
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 0
* [misc]none:  (-2.9085637996437565e-109): 0
* [misc]none:  (-6.751934028520499e-153): 0
* [misc]none:  (1.0609576781328471e-51): 0
* [misc]none:  (-2.9598382711916395e-27): 0
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 0
* [misc]none:  (-3.868414697676859e-187): 0
* [misc]none:  (-7.980669295696735e+44): 0
* [misc]none:  (127403.86295705284): 0
* [misc]none:  (-0.00034026123764188893): 0
* [misc]none:  (-4.6106017244707195e+85): 1
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 0
* [misc]none:  (-3.37039684741933e-178): 0
* [misc]none:  (-2.4597612805403014e-225): 0
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 0
* [misc]none:  (2.0217918620332625e-85): 0
* [misc]none:  (5.6334012743355e-180): 0
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 0
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 0
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 0
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 0
* [misc]none:  (-4.494398935743406e-151): 0
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 0
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 0
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 0
* [misc]none:  (-7.966969819213301e-111): 0
* [misc]none:  (-2.0310019187041234e+101): 0
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 0
* [misc]none:  (5.834035641946906e-257): 0
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 0
* [misc]none:  (-1.7127652241866663e-27): 0
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 0
* [misc]none:  (-1.933548091484468e-204): 0
* [misc]none:  (-1.947707196703237e+130): 0
* [misc]none:  (-1.2654394089404018e+152): 0
* [misc]none:  (-1.9108430739228874e-168): 0
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 0
* [misc]none:  (5.976566162781828e-262): 0
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 0
* [misc]none:  (1.638426277474575e-287): 0
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 2
* [misc]none:  (-1.0864842934460505e-25): 0
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 0
* [misc]none:  (-1.142257873712315e-49): 0
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 0
* [misc]none:  (7.549936203493533e-264): 0
* [misc]none:  (-7.706007717334245e-133): 0
* [misc]none:  (-3.852230944737251e+125): 0
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 0
* [misc]none:  (-1.2153695779764702e-107): 0
* [misc]none:  (-5.6718708555151934e-182): 0
* [misc]none:  (-6.791163764654487e+57): 0
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 0
* [misc]none:  (1.9978503540907537e+101): 0
* [misc]none:  (-36.06203897217008): 0
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 0
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 1
* [misc]none:  (1.2154965615643017e-95): 0
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 0
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 0
* [misc]none:  (-1.7028093168367145e-212): 0
* [misc]none:  (-3.61122588585932e-122): 0
* [misc]none:  (-4.1072671632900297e-249): 0
* [misc]none:  (1.2926844442603449e-272): 0
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 0
* [misc]none:  (8.02593234133885e-135): 0
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 0
* [misc]none:  (-1.1940600737652846e+124): 0
* [misc]none:  (-1.3488399650730669e+44): 0
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 0
* [misc]none:  (4.693484541613577e-225): 0
* [misc]none:  (-6.27613587070019e-241): 0
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 0
* [misc]none:  (1.9700593229138827e-50): 0
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 0
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 0
* [misc]none:  (-1.9062985237621918e-44): 0
* [misc]none:  (-7.188940579708169e-182): 0
* [misc]none:  (-3.5617683302613897e-208): 0
* [misc]none:  (3.049268063166789e-38): 0
* [misc]none:  (-3.2414750156447513e-81): 0
* [misc]none:  (-9.695048812228804e-33): 0
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 0
* [misc]none:  (-1.4358426706351876e-229): 0
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 0
* [misc]none:  (-1.367452993894295e-129): 0
* [misc]none:  (6.343584508561789e+87): 0
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 0
* [misc]none:  (-72190905149076.94): 0
* [misc]none:  (3.388041199273477e-265): 0
* [misc]none:  (3.7476721237841876e-281): 0
* [misc]none:  (4.811543151950025e-33): 0
* [misc]none:  (-9.85118113779452e-207): 0
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 0
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 0
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 0
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 0
* [misc]none:  (3.82956155404422e-299): 0
* [misc]none:  (-3.302434769770763e+39): 1
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 0
* [misc]none:  (-7.731583384630845e+52): 0
* [misc]none:  (-8.347536812100916e-44): 0
* [misc]none:  (-2.710750607360271e-260): 0
* [misc]none:  (4.296582624822391e-200): 0
* [misc]none:  (1.733700273392293e+77): 0
* [misc]none:  (-2.8582758774924267e-140): 0
* [misc]none:  (9.139158849230913e-305): 0
* [misc]none:  (6.683383915725252e-271): 0
* [misc]none:  (1.830961252259433e-59): 0
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 0
* [misc]none:  (4.068667347744151e-179): 0
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 0
* [misc]none:  (-2.7764650204569527e-216): 0
* [misc]none:  (-3.81685776062912e-89): 0
* [misc]none:  (3.853952974089327e-228): 0
* [misc]none:  (-5.100815418059268e-90): 0
* [misc]none:  (6.487293944891719e+78): 0
* [misc]none:  (6.009493492582987e-296): 0
* [misc]none:  (-1.157925061166081e-58): 0
* [misc]none:  Picked alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
* * * * [misc]progress:  [ 2 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
* * * * [misc]progress:  [ 3 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 4 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 5 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 6 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 7 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 8 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 9 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 10 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 11 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 12 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 13 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 14 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 15 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 16 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 17 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 18 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 19 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 20 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 21 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 22 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 23 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 24 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 25 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
* [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:  [ 26 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
* [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:  [ 27 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 28 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 29 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))>
* * * * [misc]progress:  [ 30 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
* [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:  [ 31 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
* * * * [misc]progress:  [ 32 / 73 ] simplifiying candidate #<alt-delta (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 33 / 73 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 34 / 73 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 35 / 73 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 36 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 37 / 73 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 38 / 73 ] simplifiying candidate #<alt-delta (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 39 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 40 / 73 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
* * * * [misc]progress:  [ 41 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 42 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) 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 (37 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 43 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 44 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 45 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 46 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 47 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 48 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 49 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 50 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 51 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 52 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 53 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 54 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 55 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
* * * * [misc]progress:  [ 56 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 57 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 58 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 59 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 60 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 61 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 62 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 63 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 64 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 65 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 66 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 67 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 68 / 73 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 69 / 73 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 70 / 73 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 71 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 72 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 73 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 5
* [misc]none:  All alts: 6
* [misc]none:  Fresh alt: (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* [misc]none:  Non-fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))))
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))): 0
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 1
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 2
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))): 3
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 4
* [misc]none:  Best fresh alt per point
* [misc]none:  (4.116349531400419e+59): 3
* [misc]none:  (3.7023764599519414e+64): 0
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 0
* [misc]none:  (-5.655718042216706e-88): 2
* [misc]none:  (-1.454645223881282e+52): 3
* [misc]none:  (3.19314088639968e-300): 2
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 2
* [misc]none:  (2.6209483109511002e-99): 2
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 1
* [misc]none:  (-1.184307734105162e-152): 2
* [misc]none:  (3.9436987604242746e-188): 2
* [misc]none:  (1.2987545615858837e-229): 2
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 0
* [misc]none:  (1.3556558330338219e-279): 2
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 2
* [misc]none:  (7.360949206952843e-212): 2
* [misc]none:  (3.6323351005324725e+74): 2
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 2
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 1
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 2
* [misc]none:  (-2.4730898186525758e+92): 0
* [misc]none:  (1.1766044207630259e-195): 2
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 2
* [misc]none:  (3.125863179986306e-134): 2
* [misc]none:  (-8.950192398328319e-216): 2
* [misc]none:  (-2.304991300802574e+103): 0
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 2
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 2
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 2
* [misc]none:  (1.716393032678617e+87): 0
* [misc]none:  (-3.2028793163485514e-267): 2
* [misc]none:  (-5.767560760391122e-80): 2
* [misc]none:  (3.087465078472461e-297): 2
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 2
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 0
* [misc]none:  (-5.923298684844267e+94): 4
* [misc]none:  (2.112352033422511e-76): 2
* [misc]none:  (-1.4985268459995148e-46): 2
* [misc]none:  (5.682432409793209e-103): 2
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 2
* [misc]none:  (2.296991649120878e+37): 2
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 2
* [misc]none:  (-4.885442056107934e-227): 2
* [misc]none:  (3.9227841234365035e+76): 3
* [misc]none:  (-3.356284453668777e-114): 2
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 3
* [misc]none:  (1.939469755263449e-274): 2
* [misc]none:  (2.0558821145728443e-244): 2
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 2
* [misc]none:  (7.118304679887613e-64): 2
* [misc]none:  (2.3966615634258388e-54): 2
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 2
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 2
* [misc]none:  (-2.9085637996437565e-109): 2
* [misc]none:  (-6.751934028520499e-153): 2
* [misc]none:  (1.0609576781328471e-51): 2
* [misc]none:  (-2.9598382711916395e-27): 2
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 2
* [misc]none:  (-3.868414697676859e-187): 2
* [misc]none:  (-7.980669295696735e+44): 0
* [misc]none:  (127403.86295705284): 2
* [misc]none:  (-0.00034026123764188893): 1
* [misc]none:  (-4.6106017244707195e+85): 0
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 2
* [misc]none:  (-3.37039684741933e-178): 2
* [misc]none:  (-2.4597612805403014e-225): 2
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 4
* [misc]none:  (2.0217918620332625e-85): 2
* [misc]none:  (5.6334012743355e-180): 2
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 2
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 2
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 0
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 2
* [misc]none:  (-4.494398935743406e-151): 2
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 2
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 2
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 2
* [misc]none:  (-7.966969819213301e-111): 2
* [misc]none:  (-2.0310019187041234e+101): 0
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 1
* [misc]none:  (5.834035641946906e-257): 2
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 2
* [misc]none:  (-1.7127652241866663e-27): 2
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 2
* [misc]none:  (-1.933548091484468e-204): 2
* [misc]none:  (-1.947707196703237e+130): 1
* [misc]none:  (-1.2654394089404018e+152): 0
* [misc]none:  (-1.9108430739228874e-168): 2
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 2
* [misc]none:  (5.976566162781828e-262): 2
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 2
* [misc]none:  (1.638426277474575e-287): 2
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 3
* [misc]none:  (-1.0864842934460505e-25): 2
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 2
* [misc]none:  (-1.142257873712315e-49): 2
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 2
* [misc]none:  (7.549936203493533e-264): 2
* [misc]none:  (-7.706007717334245e-133): 2
* [misc]none:  (-3.852230944737251e+125): 4
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 2
* [misc]none:  (-1.2153695779764702e-107): 2
* [misc]none:  (-5.6718708555151934e-182): 2
* [misc]none:  (-6.791163764654487e+57): 3
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 2
* [misc]none:  (1.9978503540907537e+101): 0
* [misc]none:  (-36.06203897217008): 1
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 2
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 0
* [misc]none:  (1.2154965615643017e-95): 2
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 2
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 2
* [misc]none:  (-1.7028093168367145e-212): 2
* [misc]none:  (-3.61122588585932e-122): 2
* [misc]none:  (-4.1072671632900297e-249): 2
* [misc]none:  (1.2926844442603449e-272): 2
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 2
* [misc]none:  (8.02593234133885e-135): 2
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 2
* [misc]none:  (-1.1940600737652846e+124): 1
* [misc]none:  (-1.3488399650730669e+44): 2
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 2
* [misc]none:  (4.693484541613577e-225): 2
* [misc]none:  (-6.27613587070019e-241): 2
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 2
* [misc]none:  (1.9700593229138827e-50): 2
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 2
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 2
* [misc]none:  (-1.9062985237621918e-44): 2
* [misc]none:  (-7.188940579708169e-182): 2
* [misc]none:  (-3.5617683302613897e-208): 2
* [misc]none:  (3.049268063166789e-38): 2
* [misc]none:  (-3.2414750156447513e-81): 2
* [misc]none:  (-9.695048812228804e-33): 2
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 2
* [misc]none:  (-1.4358426706351876e-229): 2
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 4
* [misc]none:  (-1.367452993894295e-129): 2
* [misc]none:  (6.343584508561789e+87): 1
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 0
* [misc]none:  (-72190905149076.94): 1
* [misc]none:  (3.388041199273477e-265): 2
* [misc]none:  (3.7476721237841876e-281): 2
* [misc]none:  (4.811543151950025e-33): 2
* [misc]none:  (-9.85118113779452e-207): 2
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 2
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 2
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 2
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 2
* [misc]none:  (3.82956155404422e-299): 2
* [misc]none:  (-3.302434769770763e+39): 0
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 2
* [misc]none:  (-7.731583384630845e+52): 1
* [misc]none:  (-8.347536812100916e-44): 2
* [misc]none:  (-2.710750607360271e-260): 2
* [misc]none:  (4.296582624822391e-200): 2
* [misc]none:  (1.733700273392293e+77): 3
* [misc]none:  (-2.8582758774924267e-140): 2
* [misc]none:  (9.139158849230913e-305): 2
* [misc]none:  (6.683383915725252e-271): 2
* [misc]none:  (1.830961252259433e-59): 2
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 2
* [misc]none:  (4.068667347744151e-179): 2
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 1
* [misc]none:  (-2.7764650204569527e-216): 2
* [misc]none:  (-3.81685776062912e-89): 2
* [misc]none:  (3.853952974089327e-228): 2
* [misc]none:  (-5.100815418059268e-90): 2
* [misc]none:  (6.487293944891719e+78): 0
* [misc]none:  (6.009493492582987e-296): 2
* [misc]none:  (-1.157925061166081e-58): 2
* [misc]none:  All alt indexes
* [misc]none:  (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))): 0
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 1
* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 2
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 3
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))): 4
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 5
* [misc]none:  Best alt per point
* [misc]none:  (4.116349531400419e+59): 2
* [misc]none:  (3.7023764599519414e+64): 2
* [misc]none:  (1.1375933635893308e+160): 0
* [misc]none:  (-6.814866840940998e+135): 2
* [misc]none:  (-5.655718042216706e-88): 2
* [misc]none:  (-1.454645223881282e+52): 2
* [misc]none:  (3.19314088639968e-300): 2
* [misc]none:  (7.10649025136688e+263): 0
* [misc]none:  (3.308825514112168e+294): 0
* [misc]none:  (-2.460746881557577e-120): 2
* [misc]none:  (2.6209483109511002e-99): 2
* [misc]none:  (1.0152763243033748e+142): 0
* [misc]none:  (3.1947368360544475e+37): 2
* [misc]none:  (-1.184307734105162e-152): 2
* [misc]none:  (3.9436987604242746e-188): 2
* [misc]none:  (1.2987545615858837e-229): 2
* [misc]none:  (4.072041399031216e+135): 0
* [misc]none:  (3.886264623793198e+50): 0
* [misc]none:  (1.3556558330338219e-279): 2
* [misc]none:  (-3.8277959540181416e+261): 0
* [misc]none:  (2.0115211857947715e+45): 0
* [misc]none:  (-1.1045058999604857e+216): 0
* [misc]none:  (5.600091178152213e-210): 2
* [misc]none:  (7.360949206952843e-212): 2
* [misc]none:  (3.6323351005324725e+74): 2
* [misc]none:  (-9.559208559238359e+170): 0
* [misc]none:  (-4.623471500501843e-242): 2
* [misc]none:  (5.1613450216466796e+222): 0
* [misc]none:  (5.235172412726717e+152): 2
* [misc]none:  (3.9088394890922115e+223): 0
* [misc]none:  (3.345926165056854e+246): 0
* [misc]none:  (2.924154450481512e-86): 2
* [misc]none:  (-2.4730898186525758e+92): 2
* [misc]none:  (1.1766044207630259e-195): 2
* [misc]none:  (3.799449287593535e+246): 0
* [misc]none:  (-0.014763539181529813): 0
* [misc]none:  (-2.5295585364629736e-253): 2
* [misc]none:  (3.125863179986306e-134): 2
* [misc]none:  (-8.950192398328319e-216): 2
* [misc]none:  (-2.304991300802574e+103): 2
* [misc]none:  (1.2265182674709907e+198): 0
* [misc]none:  (3.136601910786915e+46): 0
* [misc]none:  (-7.336082833730887e+220): 0
* [misc]none:  (-1.7783570294902284e-29): 2
* [misc]none:  (4.1738948781395064e+263): 0
* [misc]none:  (4.319230432601922e-289): 2
* [misc]none:  (1.878611753272109e+229): 0
* [misc]none:  (6.0910080487156845e-145): 2
* [misc]none:  (1.716393032678617e+87): 0
* [misc]none:  (-3.2028793163485514e-267): 2
* [misc]none:  (-5.767560760391122e-80): 2
* [misc]none:  (3.087465078472461e-297): 2
* [misc]none:  (11105828726598036.0): 0
* [misc]none:  (1.8641835944090122e-68): 2
* [misc]none:  (4.082771820413304e+20): 0
* [misc]none:  (2.9298628929536803e-07): 2
* [misc]none:  (-5.923298684844267e+94): 2
* [misc]none:  (2.112352033422511e-76): 2
* [misc]none:  (-1.4985268459995148e-46): 2
* [misc]none:  (5.682432409793209e-103): 2
* [misc]none:  (-2.927239517009746e+252): 0
* [misc]none:  (3.763740454339611e-154): 2
* [misc]none:  (2.296991649120878e+37): 3
* [misc]none:  (3.5701416837580245e+199): 0
* [misc]none:  (2.337605690906294e-85): 2
* [misc]none:  (-4.885442056107934e-227): 2
* [misc]none:  (3.9227841234365035e+76): 2
* [misc]none:  (-3.356284453668777e-114): 2
* [misc]none:  (4.984374966308376e+225): 0
* [misc]none:  (1.882765755995834e+18): 2
* [misc]none:  (1.939469755263449e-274): 2
* [misc]none:  (2.0558821145728443e-244): 2
* [misc]none:  (-1.1054341172121307e+140): 0
* [misc]none:  (-2.1503642873783828e+135): 3
* [misc]none:  (7.118304679887613e-64): 2
* [misc]none:  (2.3966615634258388e-54): 2
* [misc]none:  (-5.898930020082935e+214): 0
* [misc]none:  (-5.628195320915282e-68): 2
* [misc]none:  (2.8183580936830136e+173): 0
* [misc]none:  (-3.0745109023049084e+38): 0
* [misc]none:  (-2.745352039047204e+251): 0
* [misc]none:  (-3.2549065076282373e-223): 2
* [misc]none:  (-2.9085637996437565e-109): 2
* [misc]none:  (-6.751934028520499e-153): 2
* [misc]none:  (1.0609576781328471e-51): 2
* [misc]none:  (-2.9598382711916395e-27): 2
* [misc]none:  (1.953450184014831e+240): 0
* [misc]none:  (1.9357477509582754e-93): 2
* [misc]none:  (-3.868414697676859e-187): 2
* [misc]none:  (-7.980669295696735e+44): 0
* [misc]none:  (127403.86295705284): 2
* [misc]none:  (-0.00034026123764188893): 1
* [misc]none:  (-4.6106017244707195e+85): 0
* [misc]none:  (-1.107092798905617e+261): 0
* [misc]none:  (-6.976081079926557e-283): 2
* [misc]none:  (-3.37039684741933e-178): 2
* [misc]none:  (-2.4597612805403014e-225): 2
* [misc]none:  (-1.0732537067454568e+260): 0
* [misc]none:  (3.703142739667792e+145): 2
* [misc]none:  (2.0217918620332625e-85): 2
* [misc]none:  (5.6334012743355e-180): 2
* [misc]none:  (2.2204044591450003e+49): 0
* [misc]none:  (-4.3610333217031953e+170): 0
* [misc]none:  (-5.0919585379789005e+258): 0
* [misc]none:  (2.872174301870785e-238): 2
* [misc]none:  (-2.9327506918514952e+199): 0
* [misc]none:  (-7.645827496994951e-25): 2
* [misc]none:  (5.725707728057964e+165): 0
* [misc]none:  (-24848314.999854505): 2
* [misc]none:  (1.0486772986933419e+51): 0
* [misc]none:  (2.885576028912994e-235): 2
* [misc]none:  (-4.494398935743406e-151): 2
* [misc]none:  (1.6819327664275566e+227): 0
* [misc]none:  (2.7377399598585416e-269): 2
* [misc]none:  (656785701220.522): 0
* [misc]none:  (-3.093221131514378e+260): 0
* [misc]none:  (1.2391428993123195e-53): 2
* [misc]none:  (3.206221419912265e+51): 0
* [misc]none:  (-9.565609472547322e-124): 2
* [misc]none:  (-7.966969819213301e-111): 2
* [misc]none:  (-2.0310019187041234e+101): 2
* [misc]none:  (3.221198963762039e+166): 0
* [misc]none:  (4.1941250065146804e+123): 1
* [misc]none:  (5.834035641946906e-257): 2
* [misc]none:  (3.906362661689762e+158): 0
* [misc]none:  (-2.0517902863946083e-102): 2
* [misc]none:  (-1.7127652241866663e-27): 2
* [misc]none:  (1.1525212824649757e+173): 0
* [misc]none:  (2.1519168903719224e-48): 2
* [misc]none:  (-1.933548091484468e-204): 2
* [misc]none:  (-1.947707196703237e+130): 2
* [misc]none:  (-1.2654394089404018e+152): 2
* [misc]none:  (-1.9108430739228874e-168): 2
* [misc]none:  (2.5954317092090663e+188): 0
* [misc]none:  (1.2296515355157788e+308): 0
* [misc]none:  (2.467422452934927e-37): 2
* [misc]none:  (5.976566162781828e-262): 2
* [misc]none:  (4.0522267480412145e+189): 0
* [misc]none:  (-4.452114039611652e-132): 2
* [misc]none:  (1.638426277474575e-287): 2
* [misc]none:  (1.1394954880619105e+204): 0
* [misc]none:  (-1.9937829353717472e+136): 0
* [misc]none:  (7.12002652771949e+38): 4
* [misc]none:  (-1.0864842934460505e-25): 2
* [misc]none:  (-2.8684613953187015e+191): 0
* [misc]none:  (3.1888170814308676e+138): 2
* [misc]none:  (-1.142257873712315e-49): 2
* [misc]none:  (-2.488397426951592e+85): 0
* [misc]none:  (-3.0074667053035266e-198): 2
* [misc]none:  (7.549936203493533e-264): 2
* [misc]none:  (-7.706007717334245e-133): 2
* [misc]none:  (-3.852230944737251e+125): 5
* [misc]none:  (1.9142734474564412e+250): 0
* [misc]none:  (-2.669176676414129e+220): 0
* [misc]none:  (-1.917715355857765e-213): 2
* [misc]none:  (-1.2153695779764702e-107): 2
* [misc]none:  (-5.6718708555151934e-182): 2
* [misc]none:  (-6.791163764654487e+57): 4
* [misc]none:  (1.2321306439728458e+129): 0
* [misc]none:  (-8.306263539762776e+107): 3
* [misc]none:  (1.9978503540907537e+101): 2
* [misc]none:  (-36.06203897217008): 2
* [misc]none:  (8.837317626991618e+153): 0
* [misc]none:  (-4.077199751463202e-279): 2
* [misc]none:  (3.561052370274286e+222): 0
* [misc]none:  (-1.9803302250630132e+229): 0
* [misc]none:  (-1.2602406432951942e+242): 0
* [misc]none:  (1.3132191418449429e+272): 0
* [misc]none:  (161670548.36131597): 0
* [misc]none:  (1.2154965615643017e-95): 2
* [misc]none:  (3.335747506626598e+164): 0
* [misc]none:  (1.7054753386147003e-193): 2
* [misc]none:  (1.417395857982962e+112): 0
* [misc]none:  (-9.484486393474689e+224): 0
* [misc]none:  (1.0400546097675973e-191): 2
* [misc]none:  (-1.7028093168367145e-212): 2
* [misc]none:  (-3.61122588585932e-122): 2
* [misc]none:  (-4.1072671632900297e-249): 2
* [misc]none:  (1.2926844442603449e-272): 2
* [misc]none:  (6.777020097920311e+216): 0
* [misc]none:  (-4.994865514247891e-53): 2
* [misc]none:  (8.02593234133885e-135): 2
* [misc]none:  (2.416983450303648e+283): 0
* [misc]none:  (-2.2431045278273084e+46): 2
* [misc]none:  (-1.1940600737652846e+124): 1
* [misc]none:  (-1.3488399650730669e+44): 3
* [misc]none:  (4.3691114851826394e+164): 0
* [misc]none:  (-3.2452411716841134e-254): 2
* [misc]none:  (4.693484541613577e-225): 2
* [misc]none:  (-6.27613587070019e-241): 2
* [misc]none:  (-3.384502355044081e+73): 0
* [misc]none:  (1.488087021136329e-285): 2
* [misc]none:  (1.9700593229138827e-50): 2
* [misc]none:  (-2.9685688564746695e+259): 0
* [misc]none:  (-7.343076758450515e-245): 2
* [misc]none:  (-2.1621255712627967e+96): 0
* [misc]none:  (976625461889127.8): 0
* [misc]none:  (-3.730183968226007e+95): 0
* [misc]none:  (1.6501972239963874e-258): 2
* [misc]none:  (-1.9062985237621918e-44): 2
* [misc]none:  (-7.188940579708169e-182): 2
* [misc]none:  (-3.5617683302613897e-208): 2
* [misc]none:  (3.049268063166789e-38): 2
* [misc]none:  (-3.2414750156447513e-81): 2
* [misc]none:  (-9.695048812228804e-33): 2
* [misc]none:  (4.3191412376834275e+249): 0
* [misc]none:  (-7.454312585016396e+276): 0
* [misc]none:  (1.2650453722225915e+227): 0
* [misc]none:  (-3.468803990975246e-114): 2
* [misc]none:  (-1.4358426706351876e-229): 2
* [misc]none:  (1.4932339006735016e+157): 0
* [misc]none:  (3.1812804254524387e+233): 0
* [misc]none:  (-5.546827771104374e+87): 0
* [misc]none:  (-3.1207763882486933e+109): 2
* [misc]none:  (-1.367452993894295e-129): 2
* [misc]none:  (6.343584508561789e+87): 1
* [misc]none:  (-1.0793047599221616e+192): 0
* [misc]none:  (-1.7397736048308963e+103): 2
* [misc]none:  (-72190905149076.94): 1
* [misc]none:  (3.388041199273477e-265): 2
* [misc]none:  (3.7476721237841876e-281): 2
* [misc]none:  (4.811543151950025e-33): 2
* [misc]none:  (-9.85118113779452e-207): 2
* [misc]none:  (-1.3584511753805632e+240): 0
* [misc]none:  (1.7265727720717877e-65): 2
* [misc]none:  (-2.2076426027359137e+164): 0
* [misc]none:  (6.525431496731668e-64): 2
* [misc]none:  (1.0982823072397984e+136): 0
* [misc]none:  (2.704077310435608e-253): 2
* [misc]none:  (3.1639399211332326e+205): 0
* [misc]none:  (2.7511202385052856e-18): 2
* [misc]none:  (3.82956155404422e-299): 2
* [misc]none:  (-3.302434769770763e+39): 0
* [misc]none:  (5.765366200121622e+260): 0
* [misc]none:  (-8.2157022007629e-58): 2
* [misc]none:  (-7.731583384630845e+52): 2
* [misc]none:  (-8.347536812100916e-44): 2
* [misc]none:  (-2.710750607360271e-260): 2
* [misc]none:  (4.296582624822391e-200): 2
* [misc]none:  (1.733700273392293e+77): 4
* [misc]none:  (-2.8582758774924267e-140): 2
* [misc]none:  (9.139158849230913e-305): 2
* [misc]none:  (6.683383915725252e-271): 2
* [misc]none:  (1.830961252259433e-59): 2
* [misc]none:  (-1.8390495199831918e+89): 0
* [misc]none:  (-1.7614646333235536e-68): 2
* [misc]none:  (4.068667347744151e-179): 2
* [misc]none:  (8.630725328355339e+266): 0
* [misc]none:  (2.0934780804159847e+108): 1
* [misc]none:  (-2.7764650204569527e-216): 2
* [misc]none:  (-3.81685776062912e-89): 2
* [misc]none:  (3.853952974089327e-228): 2
* [misc]none:  (-5.100815418059268e-90): 2
* [misc]none:  (6.487293944891719e+78): 2
* [misc]none:  (6.009493492582987e-296): 2
* [misc]none:  (-1.157925061166081e-58): 2
* [misc]none:  Picked alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))))>
* * * * [misc]progress:  [ 2 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))))>
* * * * [misc]progress:  [ 3 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 4 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 5 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 6 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 7 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 8 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 9 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 10 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 11 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 12 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 13 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 14 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 15 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 16 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 17 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 18 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 19 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 20 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 21 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 22 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 23 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 24 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 25 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 26 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 27 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 28 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 29 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 30 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 31 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 32 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 33 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 34 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 35 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 36 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 37 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (+ 1/2 1/2))))>
* [enter]simplify:  Simplifying (+ 1 (+ 1/2 1/2))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (+ 1 (+ 1/2 1/2))
* [exit]simplify:  Simplified to (+ 1 (+ 1/2 1/2))
* * * * [misc]progress:  [ 38 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1/2))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 39 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 40 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 41 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
* * * * [misc]progress:  [ 42 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 43 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 44 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 45 / 72 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 46 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* * * * [misc]progress:  [ 47 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* * * * [misc]progress:  [ 48 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 49 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* * * * [misc]progress:  [ 50 / 72 ] simplifiying candidate #<alt-delta (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 51 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 52 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 53 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 54 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 55 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 56 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 57 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 58 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 59 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 60 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 61 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 62 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 63 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 64 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 65 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 66 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 67 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 68 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 69 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 70 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 71 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 72 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (- (atan (+ N 1)) (atan N)) +nan.0)) , with alts (#<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ 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
* * * * [exit]points:  Sampled 8000 points with exact outputs