* [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:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 199 additional inputs, on iter 1 have 57 / 256
* * * * [misc]points:  Computing exacts on every 12 of 199 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 6 of 199 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 199 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 199 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 170 additional inputs, on iter 2 have 86 / 256
* * * * [misc]points:  Computing exacts on every 10 of 170 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 5 of 170 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 170 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 170 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 139 additional inputs, on iter 3 have 117 / 256
* * * * [misc]points:  Computing exacts on every 8 of 139 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 139 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 139 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 139 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 115 additional inputs, on iter 4 have 141 / 256
* * * * [misc]points:  Computing exacts on every 7 of 115 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 115 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 115 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 92 additional inputs, on iter 5 have 164 / 256
* * * * [misc]points:  Computing exacts on every 5 of 92 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 92 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 92 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 73 additional inputs, on iter 6 have 183 / 256
* * * * [misc]points:  Computing exacts on every 4 of 73 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 73 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 73 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 61 additional inputs, on iter 7 have 195 / 256
* * * * [misc]points:  Computing exacts on every 3 of 61 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 61 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 52 additional inputs, on iter 8 have 204 / 256
* * * * [misc]points:  Computing exacts on every 3 of 52 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 52 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 39 additional inputs, on iter 9 have 217 / 256
* * * * [misc]points:  Computing exacts on every 2 of 39 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 39 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 29 additional inputs, on iter 10 have 227 / 256
* * * * [misc]points:  Computing exacts for 29 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 22 additional inputs, on iter 11 have 234 / 256
* * * * [misc]points:  Computing exacts for 22 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 12 have 238 / 256
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 13 have 243 / 256
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 10 additional inputs, on iter 14 have 246 / 256
* * * * [misc]points:  Computing exacts for 10 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 8 additional inputs, on iter 15 have 248 / 256
* * * * [misc]points:  Computing exacts for 8 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 16 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 17 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 18 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 19 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 257 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 2
* [misc]none:  All alts: 2
* [misc]none:  Fresh alt: (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))): 0
* [misc]none:  (λ (k n) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))): 1
* [misc]none:  Best fresh alt per point
* [misc]none:  (2.1591070107318723e-73 1.0546090354418652e-284): 0
* [misc]none:  (4.2673255068595107e+307 1.641796573996837e+72): 0
* [misc]none:  (1.6618811033930501e-286 4.2616624006393814e+307): 0
* [misc]none:  (1.700131343853337e-247 5.358070604307343e+123): 1
* [misc]none:  (6.91244459251702e+159 6.2427911338324315e+144): 0
* [misc]none:  (2.7602896294106625e+85 1413016772.140476): 0
* [misc]none:  (4.948991987084853e-143 4.975234314899556e-76): 0
* [misc]none:  (1.6743140997091086e-248 16758704080134802.0): 0
* [misc]none:  (6.124581526441171e-72 2.4472280969194244e-239): 0
* [misc]none:  (3.1729755184682613e+99 1.2190355679523996e+246): 0
* [misc]none:  (8.36573081564486e-171 4.0259980559952376e+294): 0
* [misc]none:  (1.9551443859949132e-199 1.0612625616481418e+52): 0
* [misc]none:  (2.8092236867516366e-92 2.0589025523519248e+36): 0
* [misc]none:  (3.2762171748120655e-264 2.7380948133178565e+255): 0
* [misc]none:  (1.0007882000768061e+301 1.1240815104646505e+121): 0
* [misc]none:  (1.4687117125438864e-63 1.1903717794304471e-253): 1
* [misc]none:  (6.805404708852922e-276 4.8394725379365604e+231): 0
* [misc]none:  (1.2613046437556606e-273 1.1781911093287235e+90): 0
* [misc]none:  (4.9644016493223024e+157 2.622523515950845e+46): 0
* [misc]none:  (3.940778559368626e-33 4.007840368164342e+163): 0
* [misc]none:  (4.5929857219747294e+201 2.2776546349112237e+61): 0
* [misc]none:  (6.811006036553457e-239 8.714568815815567e+255): 0
* [misc]none:  (4.930143670298941e-163 4.883160675332215e-65): 0
* [misc]none:  (8.292215173313494e-08 8.286044086380669e+269): 0
* [misc]none:  (1.1096937442974064e+189 2.5007452867635535e+39): 0
* [misc]none:  (1.694187914797535e-197 1.0220391282066121e+67): 0
* [misc]none:  (23927272430021.414 7.23057643946872e+201): 0
* [misc]none:  (4.853399664516162e-305 3.30533827067496e-166): 0
* [misc]none:  (3.588670464978036e+247 4.124664696569464e+307): 0
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* [misc]none:  (1.9693831015496925e+180 89707777220460.48): 0
* [misc]none:  (6.837267614082976e-13 3.7326834852996e+81): 0
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* [misc]none:  (5.316529507267825e-36 3.5697323250583347e-109): 0
* [misc]none:  (1.2234978537990676e-128 1.3110935399580867e-263): 0
* [misc]none:  (1.43007574576318e+135 7.071122237402694e+105): 0
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* [misc]none:  (5.002237503650598e-296 1.9553950199973193e+280): 0
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* [misc]none:  (2.8707216174156258e-288 3.9448428391223416e+100): 0
* [misc]none:  (2.9165973639362348e-61 2.154045822148676e+236): 0
* [misc]none:  (1.2678990949422917e-52 1.5936876549452747e-106): 0
* [misc]none:  (5.579485540887826e+183 1.6734685422310338e+131): 0
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* [misc]none:  (2.8934651166283667e+279 55177.631326622766): 0
* [misc]none:  (6.623520715255185e-244 9.35562630771522e-28): 0
* [misc]none:  (1.0389702896854317e+262 1.5208343197925154e+110): 0
* [misc]none:  (7.469239815183447e+247 4.8471473290825236e+262): 0
* [misc]none:  (6.1713074230530685e-109 1.9989151102552388e-41): 0
* [misc]none:  (1.943389366798004e-136 3.966184336206354e+306): 1
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* [misc]none:  (4.179321646584815e-42 3.4907285275620847e-183): 0
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* [misc]none:  (5.0588074473585105e-110 3.742291531299835e+250): 1
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* [misc]none:  (1.4351275309127672e-234 4.416557773834991e-25): 0
* [misc]none:  (1.0684729481870001e-64 6.3073426358942834e+75): 0
* [misc]none:  (0.19659739803111875 7.786539791485611e+181): 0
* [misc]none:  (8.76720870691781e-247 6.160331831501279e+241): 0
* [misc]none:  (3.0044088767799776e-30 4.7140908881238785e+103): 0
* [misc]none:  (4.097601147132013e-78 4.194634882433556e+107): 0
* [misc]none:  (1.7036347403091437e+117 9.645064592867311e+67): 0
* [misc]none:  (8.2625435987749e+74 5.2790261762422465e+19): 0
* [misc]none:  (2.031068672850261e-255 2.4294527094706238e+82): 1
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* [misc]none:  (8.949756960721031e-195 2.722605535602291e+155): 0
* [misc]none:  (4.178563936936926e-127 2.1657839461347663e+307): 0
* [misc]none:  (7.808994559121766e-111 8.788013174305029e-230): 0
* [misc]none:  (4.896551008070313e-307 1.2607016124581028e+98): 0
* [misc]none:  (6.351701463874224e-34 1.1127979592570306e-297): 1
* [misc]none:  (2.0134175477923286e-117 3.3910436622012204e+183): 0
* [misc]none:  (5.027318832526334e+284 1.0214816826091913e+147): 0
* [misc]none:  (8.06210226572923e-308 1.3704592194822044e+306): 0
* [misc]none:  (2.0724540688985427e-14 7.930730410937821e+23): 0
* [misc]none:  (4.870593988390179e-194 5.0297272719312193e+287): 0
* [misc]none:  (3.506434173585025e+201 1.1750256677114723e+302): 0
* [misc]none:  (1.7531612809893653e+136 8.844853331262414e+38): 0
* [misc]none:  (1.178943808525994e-266 9.178781884958768e+207): 0
* [misc]none:  (3.0568938748675284e-154 2.0291756699515804e-73): 0
* [misc]none:  Picked alt (λ (k n) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]pick:  Picked  #<alt-delta (λ (k n) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* n (* 2 PI)) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 0 (* 2 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 0 (* 2 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (+ (log (* 2 PI)) (log n))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log (* 2 PI)) (log n)))) into (- (+ (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))
* [misc]backup-simplify:  Simplify (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k)))))
* [misc]approximate:  Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 1 (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 1 (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
* [misc]approximate:  Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* -1 (* 2 PI)) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* -1 (* 2 PI)) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* n (* PI 2)) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 0 (* 2 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 1 (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* -1 (* 2 PI)) into (* -2 PI)
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* n (* 2 PI)) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (pow (* 2 (* n PI)) 1/2) +nan.0) into (* +nan.0 (sqrt (* n (* 2 PI))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 0 (* 2 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (sqrt k)) into (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n (* PI 2)) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* n (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 0 (* 2 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (sqrt k)) into (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (+ (log (* 2 PI)) (log n))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (* 0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log (* 2 PI)) (log n)))) into (- (+ (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))) (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))) (+ (* +nan.0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))) (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))))))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (log n))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (+ (* 1/48 (pow (log n) 3)) (* 1/16 (* (log (* 2 PI)) (pow (log n) 2))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/16 (* (pow (log (* 2 PI)) 2) (log n))) (+ (* 1/48 (pow (log (* 2 PI)) 3)) (+ (* 1/48 (pow (log n) 3)) (* 1/16 (* (log (* 2 PI)) (pow (log n) 2))))))))) (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))) (+ (* +nan.0 (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))) (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n))))))))))))))) into (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow (log (* 2 PI)) 2)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log (* 2 PI)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) k)) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (pow k 2) (log n))))))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 1 (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 1 (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* 2 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (/ -1 n) (* 2 PI)) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* -1 (* 2 PI)) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* -1 (* 2 PI)) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (* 2 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (log1p (expm1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))>
* [enter]simplify:  Simplifying (expm1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (expm1 (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 2 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (expm1 (log1p (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))>
* [enter]simplify:  Simplifying (log1p (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (log1p (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 3 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (* (log (* n (* PI 2))) (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (log (* n (* PI 2))) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* * * * [misc]progress:  [ 4 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (* (log (* n (* PI 2))) (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (log (* n (* PI 2))) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* * * * [misc]progress:  [ 5 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (* n (* PI 2)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 1 (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* * * * [misc]progress:  [ 6 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* n (* PI 2)) (/ 1 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (pow (* 2 (* PI n)) (/ 1 2))
* [exit]simplify:  Simplified to (pow (* 2 (* PI n)) (/ 1 2))
* [enter]simplify:  Simplifying (pow (* n (* PI 2)) (/ k 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) (/ k 2))
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) (/ k 2))
* * * * [misc]progress:  [ 7 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 8 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 9 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* n (* PI 2)) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* * * * [misc]progress:  [ 10 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow (* n (* PI 2)) (- 1 k)) (/ 1 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* n (* PI 2)) (- 1 k))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- 1 k))
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- 1 k))
* * * * [misc]progress:  [ 11 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (pow n (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (pow (* PI 2) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 12 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow (* n (* PI 2)) (/ (- 1 k) 2)) 1) (sqrt k)))>
* * * * [misc]progress:  [ 13 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))>
* [enter]simplify:  Simplifying (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
* * * * [misc]progress:  [ 14 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (log (exp (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))>
* [enter]simplify:  Simplifying (exp (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (exp (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (exp (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 15 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 16 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (cbrt (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3)
* [exit]simplify:  Simplified to (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3)
* * * * [misc]progress:  [ 17 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))>
* [enter]simplify:  Simplifying (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 18 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)))>
* * * * [misc]progress:  [ 19 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (log1p (expm1 (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (expm1 (* n (* PI 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* n 2) PI))
* [exit]simplify:  Simplified to (expm1 (* (* n 2) PI))
* * * * [misc]progress:  [ 20 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (expm1 (log1p (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (log1p (* n (* PI 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (log1p (* (* n 2) PI))
* [exit]simplify:  Simplified to (log1p (* (* n 2) PI))
* * * * [misc]progress:  [ 21 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 22 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (exp (log (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (log (* n (* PI 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (log (* (* PI n) 2))
* [exit]simplify:  Simplified to (log (* (* PI n) 2))
* * * * [misc]progress:  [ 23 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (log (exp (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (exp (* n (* PI 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (pow (exp 2) (* PI n))
* [exit]simplify:  Simplified to (pow (exp 2) (* PI n))
* * * * [misc]progress:  [ 24 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (* (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) (cbrt (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2)))
* [exit]simplify:  Simplified to (* (cbrt (* (* PI n) 2)) (cbrt (* (* PI n) 2)))
* [enter]simplify:  Simplifying (cbrt (* n (* PI 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* n 2) PI))
* [exit]simplify:  Simplified to (cbrt (* (* n 2) PI))
* * * * [misc]progress:  [ 25 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (cbrt (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) 3)
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) 3)
* * * * [misc]progress:  [ 26 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (* (sqrt (* n (* PI 2))) (sqrt (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (sqrt (* n (* PI 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* n 2) PI))
* [exit]simplify:  Simplified to (sqrt (* (* n 2) PI))
* [enter]simplify:  Simplifying (sqrt (* n (* PI 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* n 2) PI))
* [exit]simplify:  Simplified to (sqrt (* (* n 2) PI))
* * * * [misc]progress:  [ 27 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (* 1 (* n (* PI 2))) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 28 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (* n PI)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* PI n)
* [exit]simplify:  Simplified to (* PI n)
* * * * [misc]progress:  [ 29 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 30 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (log1p (expm1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (expm1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (expm1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 31 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (expm1 (log1p (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (log1p (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (log1p (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (log1p (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 32 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (pow (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) 1))>
* * * * [misc]progress:  [ 33 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k))))
* * * * [misc]progress:  [ 34 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (- (log (sqrt k))))
* * * * [misc]progress:  [ 35 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (302 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k))))
* * * * [misc]progress:  [ 36 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (exp (log (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (log (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (430 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* 2 (* PI n))) (- (log (sqrt k))))
* * * * [misc]progress:  [ 37 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (log (exp (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (exp (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (exp (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (exp (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 38 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (353 enodes)
* [exit]simplify:  Simplified to (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (* k (sqrt k))))
* [exit]simplify:  Simplified to (* (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (* k (sqrt k))))
* * * * [misc]progress:  [ 39 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))))
* [enter]simplify:  Simplifying (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 40 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (* (* (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (* (* (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 41 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* [enter]simplify:  Simplifying (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 42 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (- (pow (* n (* PI 2)) (/ (- 1 k) 2))) (- (sqrt k))))>
* [enter]simplify:  Simplifying (- (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (- (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (- (sqrt k))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt k))
* [exit]simplify:  Simplified to (- (sqrt k))
* * * * [misc]progress:  [ 43 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * * * [misc]progress:  [ 44 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 45 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 46 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * * * [misc]progress:  [ 47 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 48 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
* * * * [misc]progress:  [ 49 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * * * [misc]progress:  [ 50 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 51 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k))
* * * * [misc]progress:  [ 52 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * * * [misc]progress:  [ 53 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 54 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 1) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 55 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 56 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt k))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* * * * [misc]progress:  [ 57 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 58 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
* [enter]simplify:  Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 59 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
* [enter]simplify:  Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 60 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) 1) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 61 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 62 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 63 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 64 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 65 / 74 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))))>
* [enter]simplify:  Simplifying (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))
* [exit]simplify:  Simplified to (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))
* * * * [misc]progress:  [ 66 / 74 ] simplifiying candidate #<alt-event (λ (k n) (/ (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))))) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))))) (sqrt k))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (* (* (pow (* PI 2) 1/2) (pow n 1/2)) (* (* k k) 1/8)) (+ (* (log n) (log n)) (* (log (* PI 2)) (log (* PI 2))))) (- (fma (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/4)) (* (log (* PI 2)) (* (* k k) (log n))) (* (pow (* PI 2) 1/2) (pow n 1/2))) (* (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/2)) (fma k (log (* PI 2)) (* (log n) k))))) (sqrt k))
* * * * [misc]progress:  [ 67 / 74 ] simplifiying candidate #<alt-event (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* PI 2)) (log n))) (sqrt k))
* * * * [misc]progress:  [ 68 / 74 ] simplifiying candidate #<alt-event (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (277 enodes)
* [exit]simplify:  Simplified to (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* PI -2)) (log (/ -1 n)))) (sqrt k))
* * * * [misc]progress:  [ 69 / 74 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 70 / 74 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 71 / 74 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 72 / 74 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) k)) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (pow k 2) (log n)))))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow k 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log (* 2 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) k)) (- (* +nan.0 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (pow k 2) (log n))))))))))))))))))))))))
* * * * [misc]progress:  [ 73 / 74 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))
* * * * [misc]progress:  [ 74 / 74 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))))))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 12
* [misc]none:  All alts: 12
* [misc]none:  Fresh alt: (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)))
* [misc]none:  Fresh alt: (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* [misc]none:  Fresh alt: (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))
* [misc]none:  Fresh alt: (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow (* (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) (cbrt (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k)))
* [misc]none:  Fresh alt: (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))): 0
* [misc]none:  (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 1
* [misc]none:  (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))): 2
* [misc]none:  (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))): 3
* [misc]none:  (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))): 4
* [misc]none:  (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))): 5
* [misc]none:  (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 6
* [misc]none:  (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)))): 7
* [misc]none:  (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))))): 8
* [misc]none:  (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))): 9
* [misc]none:  (λ (k n) (/ (pow (* (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) (cbrt (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k))): 10
* [misc]none:  (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))): 11
* [misc]none:  Best fresh alt per point
* [misc]none:  (2.1591070107318723e-73 1.0546090354418652e-284): 4
* [misc]none:  (4.2673255068595107e+307 1.641796573996837e+72): 0
* [misc]none:  (1.6618811033930501e-286 4.2616624006393814e+307): 0
* [misc]none:  (1.700131343853337e-247 5.358070604307343e+123): 2
* [misc]none:  (6.91244459251702e+159 6.2427911338324315e+144): 0
* [misc]none:  (2.7602896294106625e+85 1413016772.140476): 0
* [misc]none:  (4.948991987084853e-143 4.975234314899556e-76): 3
* [misc]none:  (1.6743140997091086e-248 16758704080134802.0): 2
* [misc]none:  (6.124581526441171e-72 2.4472280969194244e-239): 0
* [misc]none:  (3.1729755184682613e+99 1.2190355679523996e+246): 0
* [misc]none:  (8.36573081564486e-171 4.0259980559952376e+294): 2
* [misc]none:  (1.9551443859949132e-199 1.0612625616481418e+52): 0
* [misc]none:  (2.8092236867516366e-92 2.0589025523519248e+36): 1
* [misc]none:  (3.2762171748120655e-264 2.7380948133178565e+255): 0
* [misc]none:  (1.0007882000768061e+301 1.1240815104646505e+121): 0
* [misc]none:  (1.4687117125438864e-63 1.1903717794304471e-253): 1
* [misc]none:  (6.805404708852922e-276 4.8394725379365604e+231): 0
* [misc]none:  (1.2613046437556606e-273 1.1781911093287235e+90): 1
* [misc]none:  (4.9644016493223024e+157 2.622523515950845e+46): 0
* [misc]none:  (3.940778559368626e-33 4.007840368164342e+163): 1
* [misc]none:  (4.5929857219747294e+201 2.2776546349112237e+61): 0
* [misc]none:  (6.811006036553457e-239 8.714568815815567e+255): 1
* [misc]none:  (4.930143670298941e-163 4.883160675332215e-65): 2
* [misc]none:  (8.292215173313494e-08 8.286044086380669e+269): 2
* [misc]none:  (1.1096937442974064e+189 2.5007452867635535e+39): 0
* [misc]none:  (1.694187914797535e-197 1.0220391282066121e+67): 1
* [misc]none:  (23927272430021.414 7.23057643946872e+201): 0
* [misc]none:  (4.853399664516162e-305 3.30533827067496e-166): 2
* [misc]none:  (3.588670464978036e+247 4.124664696569464e+307): 0
* [misc]none:  (3.679840099109323e-170 4.860609492717627e+283): 1
* [misc]none:  (1.9693831015496925e+180 89707777220460.48): 0
* [misc]none:  (6.837267614082976e-13 3.7326834852996e+81): 2
* [misc]none:  (1.829705748556049e-75 2.200538467966707e+230): 2
* [misc]none:  (5.316529507267825e-36 3.5697323250583347e-109): 1
* [misc]none:  (1.2234978537990676e-128 1.3110935399580867e-263): 0
* [misc]none:  (1.43007574576318e+135 7.071122237402694e+105): 0
* [misc]none:  (4.637560235206779e+243 68548893892959.35): 0
* [misc]none:  (5.002237503650598e-296 1.9553950199973193e+280): 0
* [misc]none:  (1.6246603698352073e+112 2.3317555643477245e+130): 0
* [misc]none:  (3.200962382784537e+213 2.6530245017350275e+294): 0
* [misc]none:  (2.8707216174156258e-288 3.9448428391223416e+100): 1
* [misc]none:  (2.9165973639362348e-61 2.154045822148676e+236): 6
* [misc]none:  (1.2678990949422917e-52 1.5936876549452747e-106): 1
* [misc]none:  (5.579485540887826e+183 1.6734685422310338e+131): 0
* [misc]none:  (1.0136580008978249e+204 4.547177371886508e+127): 0
* [misc]none:  (9.485527140858208e-99 6.616483485750784e+277): 1
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* [misc]none:  (2.8934651166283667e+279 55177.631326622766): 0
* [misc]none:  (6.623520715255185e-244 9.35562630771522e-28): 1
* [misc]none:  (1.0389702896854317e+262 1.5208343197925154e+110): 0
* [misc]none:  (7.469239815183447e+247 4.8471473290825236e+262): 0
* [misc]none:  (6.1713074230530685e-109 1.9989151102552388e-41): 1
* [misc]none:  (1.943389366798004e-136 3.966184336206354e+306): 0
* [misc]none:  (2.209291129508407e-103 2.6072584186591613e+22): 1
* [misc]none:  (4.179321646584815e-42 3.4907285275620847e-183): 2
* [misc]none:  (4.0960369147892466e-53 6.704955520516661e+202): 10
* [misc]none:  (2.4072431119226268e-294 1.6773884942239408e-156): 1
* [misc]none:  (3.7255320389432313e-165 1.8768406743539232e+264): 1
* [misc]none:  (1.1389442877655414e-177 1.849281552574909e+116): 1
* [misc]none:  (2.4886568141795916e+45 9.518068148307147e+26): 0
* [misc]none:  (1.6613686666519827e-62 7.500417889097776e+226): 1
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* [misc]none:  (2.691927618107144e-05 1.1000446194483325e-90): 2
* [misc]none:  (7.74992657978382e-63 5.482382059424217e+269): 2
* [misc]none:  (1.6346571412006282e+159 5.1830351224509916e+160): 0
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* [misc]none:  (3.8194206079901515e-23 2.741371289157953e-145): 0
* [misc]none:  (3.698929817180471e+162 5.436276416758887e+80): 0
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* [misc]none:  (3.254932313264323e-181 7.231336457780734e-20): 2
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* [misc]none:  (9.670913491472054e-92 3.022368240249581e-289): 3
* [misc]none:  (7.956319754267398e-14 2.1275458515370088e+150): 2
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* [misc]none:  (2.045529509427446e+49 1.2991605271353226e+210): 0
* [misc]none:  (1.4188583663033445e-249 1.504713479140784e+180): 6
* [misc]none:  (1.4943962403820765e-140 1.6013845362657103e-298): 5
* [misc]none:  (2.280095815862488e-176 3.561509455251411e+295): 2
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* [misc]none:  (6.916435830562058e+206 4.475596769635978e+288): 0
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* [misc]none:  All alt indices
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* [misc]none:  (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 1
* [misc]none:  (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))): 2
* [misc]none:  (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))): 3
* [misc]none:  (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))): 4
* [misc]none:  (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))): 5
* [misc]none:  (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 6
* [misc]none:  (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)))): 7
* [misc]none:  (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))))): 8
* [misc]none:  (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))): 9
* [misc]none:  (λ (k n) (/ (pow (* (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) (cbrt (* n (* PI 2)))) (/ (- 1 k) 2)) (sqrt k))): 10
* [misc]none:  (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))): 11
* [misc]none:  Best alt per point
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* [misc]none:  (2.3040347636911724e-27 7.527413299194134e-199): 0
* [misc]none:  (2.236333776084836e+240 8.787526117599876e+89): 0
* [misc]none:  (0.0006145505508753878 5.770600846660463e-216): 2
* [misc]none:  (2.781426133815738e-217 2.5557241024046246e-63): 1
* [misc]none:  (9.534360742444564e-26 1.2538968992553631e-96): 1
* [misc]none:  (1.2604501780655313e-299 33610193246.41273): 0
* [misc]none:  (4.652749385182812e-160 9.610215461209792e+222): 0
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* [misc]none:  (2.5999866956432144e-15 1.1466100384783977e-24): 8
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* [misc]none:  (0.001153502653320492 9.828142580013114e-63): 2
* [misc]none:  (5.189166453459553e-135 1.4373294578855835e+256): 1
* [misc]none:  (9.568527921939742e-273 2.654414227492494e+20): 9
* [misc]none:  (1.7090726067739176e-227 7.696162327562603e-152): 2
* [misc]none:  (2.3623052767393814e+153 4.4633600804799425e+142): 0
* [misc]none:  (1.2790861077923577e+68 1.0592112097552954e+143): 0
* [misc]none:  (1.6780592368033288e-262 1.5331200777386884e+269): 6
* [misc]none:  (2.973444851318118e-169 1.6828576275377584e-98): 0
* [misc]none:  (3.727663855470157e+254 8.775974517752829e+204): 0
* [misc]none:  (9.424239481611678e-294 1.5096638452158614e-71): 2
* [misc]none:  (6.967234360883543e-112 2.0770495361468835e+203): 1
* [misc]none:  (6.866799226360426e-109 6.417434319517234e+231): 3
* [misc]none:  (1.430295312965348e-149 3.112001531242655e+80): 0
* [misc]none:  (1.4966275592591335e-123 6.384545099874781e-168): 0
* [misc]none:  (4.232269734875141e-205 4.1020469956028986e+24): 7
* [misc]none:  (2.68866513359689e-174 8.96636707501737e-13): 0
* [misc]none:  (2.7230496615379425e-188 7.15832835948139e-179): 1
* [misc]none:  (6.354961149716869e-97 2.8293820765322485e-296): 0
* [misc]none:  (7.175557259725409e-49 4.4800031186106794e-70): 0
* [misc]none:  (8.976998414840432e+184 3.9122094377392414e+59): 0
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* [misc]none:  (6.724679859609688e-169 1.4230714989143866e-75): 1
* [misc]none:  (1.3610327499536486e+226 4.84788597345363e+32): 0
* [misc]none:  (1.9963004369674967e-80 1.4604179220567222e+231): 1
* [misc]none:  (1.5216315041338872e-218 1.6707151526371295e-190): 1
* [misc]none:  (8.044445972631143e-28 2.635030752287841e+186): 2
* [misc]none:  (4.12100928340286e-184 9.74865050931635e+298): 2
* [misc]none:  (1.782256728493473e+35 6.657191501816709e+167): 0
* [misc]none:  (2.6679523035634032e-104 8.366391802268445e+167): 2
* [misc]none:  (5.0588074473585105e-110 3.742291531299835e+250): 1
* [misc]none:  (5.013161881068948e+307 66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234 4.416557773834991e-25): 3
* [misc]none:  (1.0684729481870001e-64 6.3073426358942834e+75): 2
* [misc]none:  (0.19659739803111875 7.786539791485611e+181): 2
* [misc]none:  (8.76720870691781e-247 6.160331831501279e+241): 2
* [misc]none:  (3.0044088767799776e-30 4.7140908881238785e+103): 1
* [misc]none:  (4.097601147132013e-78 4.194634882433556e+107): 0
* [misc]none:  (1.7036347403091437e+117 9.645064592867311e+67): 0
* [misc]none:  (8.2625435987749e+74 5.2790261762422465e+19): 0
* [misc]none:  (2.031068672850261e-255 2.4294527094706238e+82): 0
* [misc]none:  (7.274711555473555e+146 1.5565784464325313e+71): 0
* [misc]none:  (1.0953112641111952e+229 3.2587696828142436e+75): 0
* [misc]none:  (8.949756960721031e-195 2.722605535602291e+155): 0
* [misc]none:  (4.178563936936926e-127 2.1657839461347663e+307): 0
* [misc]none:  (7.808994559121766e-111 8.788013174305029e-230): 2
* [misc]none:  (4.896551008070313e-307 1.2607016124581028e+98): 0
* [misc]none:  (6.351701463874224e-34 1.1127979592570306e-297): 0
* [misc]none:  (2.0134175477923286e-117 3.3910436622012204e+183): 3
* [misc]none:  (5.027318832526334e+284 1.0214816826091913e+147): 0
* [misc]none:  (8.06210226572923e-308 1.3704592194822044e+306): 0
* [misc]none:  (2.0724540688985427e-14 7.930730410937821e+23): 11
* [misc]none:  (4.870593988390179e-194 5.0297272719312193e+287): 3
* [misc]none:  (3.506434173585025e+201 1.1750256677114723e+302): 0
* [misc]none:  (1.7531612809893653e+136 8.844853331262414e+38): 0
* [misc]none:  (1.178943808525994e-266 9.178781884958768e+207): 1
* [misc]none:  (3.0568938748675284e-154 2.0291756699515804e-73): 1
* [misc]none:  Picked alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI)))) into (* -1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))
* [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (pow k 2)) (+ (* (* -1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) k) (pow (* 2 PI) 1/2))) into (- (+ (pow (* 2 PI) 1/2) (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2))))))
* [misc]approximate:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [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 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* [misc]approximate:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [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 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (/ +nan.0 (pow (* 2 PI) 1/2)) into (* +nan.0 (sqrt (/ 1 (* 2 PI))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (/ +nan.0 (pow (* 2 PI) 1/2)) into (* +nan.0 (sqrt (/ 1 (* 2 PI))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 (* 2 PI)))) into (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (pow (* 2 PI) 1/2)) (+ (* (* +nan.0 (sqrt (/ 1 (* 2 PI)))) (/ (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (pow (* 2 PI) 1/2)) (+ (* (* +nan.0 (sqrt (/ 1 (* 2 PI)))) (/ (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/2))) (* (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))) (/ (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))) (pow k 2)) (* (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))) k))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (pow (sqrt 2) 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) k) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (/ 1 k)) (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) (/ 1 (- k))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (pow n (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (/ +nan.0 (pow (* 2 PI) 1/2)) into (* +nan.0 (sqrt (/ 1 (* 2 PI))))
* [misc]backup-simplify:  Simplify (/ (pow n 1/2) (* +nan.0 (sqrt (/ 1 (* 2 PI))))) into (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2))))
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (pow n (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) into (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (log n)))) (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) into (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (pow n (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) into (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (log n)))) (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) into (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (log n)) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* n (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (sqrt (* n (* 2 PI))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (+ (* (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)) (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) (+ (* (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
* [misc]backup-simplify:  Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt (* n PI)) (* (log n) (sqrt 2))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* n (* 2 PI))) +nan.0) (* (- (+ (* 1/2 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))))) 0)) into (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))) into (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (+ (* (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)) (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) (+ (* (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))) (* 0 (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
* [misc]backup-simplify:  Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (sqrt 2)))) (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (* 1/4 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (log n) (sqrt 2)))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* n (* 2 PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))))) +nan.0) (* (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (sqrt 2)))) (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (* 1/4 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (log n) (sqrt 2))))))) 0))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (+ (* (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)) (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) (+ (* (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))) (* 0 (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))) (* 0 (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3)))
* [misc]backup-simplify:  Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 3) (sqrt 2)))) (+ (* 1/16 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (pow (log n) 2) (sqrt 2))))) (+ (* 1/16 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (* (log n) (sqrt 2))))) (* 1/48 (* (sqrt (* n PI)) (* (pow (log n) 3) (sqrt 2))))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* n (* 2 PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))))) +nan.0) (+ (* (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (sqrt 2)))) (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (* 1/4 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (log n) (sqrt 2))))))) +nan.0) (* (- (+ (* 1/48 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 3) (sqrt 2)))) (+ (* 1/16 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (pow (log n) 2) (sqrt 2))))) (+ (* 1/16 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (* (log n) (sqrt 2))))) (* 1/48 (* (sqrt (* n PI)) (* (pow (log n) 3) (sqrt 2)))))))) 0)))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log n) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log n) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))))))))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log n) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log n) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (sqrt 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))))) (* k 1)) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* k (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (* (pow (log n) 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (* (log (* 2 PI)) (* (pow k 2) (log n)))))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
* [misc]backup-simplify:  Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]backup-simplify:  Simplify (/ (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]backup-simplify:  Simplify (/ (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (log n)) into (* -1 (log n))
* [misc]backup-simplify:  Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (+ (* (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) (sqrt k)) (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (+ (* (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) (sqrt k)) (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) (* 0 (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (+ (* (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) (sqrt k)) (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) (* 0 (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) (* 0 (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) (pow k 3))))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (/ -1 n)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (/ -1 n))))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (/ -1 n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log -1) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into (/ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt (/ -1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log -1) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into (/ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt (/ -1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt (/ -1 k))) in k
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log -1) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -1) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (+ (* (/ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt (/ -1 k))) (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (+ (* (/ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt (/ -1 k))) (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) (* 0 (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log -1) (log (/ 1 (- n))))))) (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log -1) (log (/ 1 (- n))))))) (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log -1) (log (/ 1 (- n))))))) (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (pow n (/ (- 1 k) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow n (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (pow n (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow n (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (log n)) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]backup-simplify:  Simplify (pow n 1/2) into (pow n 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
* [misc]backup-simplify:  Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
* [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (pow n 1/2)) (* 1/2 (* (sqrt n) (* (log n) k))))
* [misc]approximate:  Taking taylor expansion of (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
* [misc]backup-simplify:  Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (log n)) into (* -1 (log n))
* [misc]backup-simplify:  Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))
* [misc]approximate:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (/ -1 n)))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log -1) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log -1) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log -1) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -1) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (log1p (expm1 (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (expm1 (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (expm1 (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (expm1 (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 2 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (expm1 (log1p (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log1p (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (log1p (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (log1p (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 3 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (log (* PI 2)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 4 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (log (* PI 2)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 5 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (* 1 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* 1 (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* * * * [misc]progress:  [ 6 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (/ 1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ 1 2))
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ 1 2))
* [enter]simplify:  Simplifying (pow (* PI 2) (/ k 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ k 2))
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ k 2))
* * * * [misc]progress:  [ 7 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 8 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (sqrt (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (sqrt (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (pow (* 2 PI) (sqrt (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 9 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) 1) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow (* PI 2) 1)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* 2 PI)
* [exit]simplify:  Simplified to (* 2 PI)
* * * * [misc]progress:  [ 10 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (- 1 k)) (/ 1 2)))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (- 1 k))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (- 1 k))
* [exit]simplify:  Simplified to (pow (* 2 PI) (- 1 k))
* * * * [misc]progress:  [ 11 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (pow PI (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (pow 2 (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (pow 2 (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow 2 (/ (- 1 k) 2))
* * * * [misc]progress:  [ 12 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (/ (- 1 k) 2)) 1))))>
* * * * [misc]progress:  [ 13 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (490 enodes)
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 14 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (log (exp (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (exp (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (exp (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (exp (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 15 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (cbrt (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 16 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (pow (pow (* 2 PI) (/ (- 1 k) 2)) 3)
* [exit]simplify:  Simplified to (pow (pow (* 2 PI) (/ (- 1 k) 2)) 3)
* * * * [misc]progress:  [ 17 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (sqrt (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 18 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 19 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (log1p (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 20 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (expm1 (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 21 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (pow (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) 1)))>
* * * * [misc]progress:  [ 22 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 23 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 24 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (283 enodes)
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* * * * [misc]progress:  [ 25 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (298 enodes)
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* * * * [misc]progress:  [ 26 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (log (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 27 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (/ (* k (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (* k (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 28 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 29 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sqrt k) k) (pow (* PI 2) (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (* (sqrt k) k) (pow (* PI 2) (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 30 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 31 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (- (sqrt k)) (- (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (sqrt k))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt k))
* [exit]simplify:  Simplified to (- (sqrt k))
* [enter]simplify:  Simplifying (- (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (- (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 32 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 33 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 34 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 35 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 36 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 37 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 38 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 39 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 40 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow PI (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ 1 (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ 1 (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 41 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 42 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 43 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 44 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 45 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt k) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 46 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ 1 (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 47 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow PI (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 48 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 49 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 50 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) 1) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [exit]simplify:  Simplified to (sqrt k)
* * * * [misc]progress:  [ 51 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * * * [misc]progress:  [ 52 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 53 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ 1 (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 54 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI 2) (/ 1 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ 1 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ 1 2)))
* * * * [misc]progress:  [ 55 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (log1p (expm1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* [exit]simplify:  Simplified to (expm1 (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 56 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (expm1 (log1p (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log1p (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* [exit]simplify:  Simplified to (log1p (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 57 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (pow (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) 1))>
* * * * [misc]progress:  [ 58 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* * * * [misc]progress:  [ 59 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* * * * [misc]progress:  [ 60 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* * * * [misc]progress:  [ 61 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* [exit]simplify:  Simplified to (- (* (/ (log n) 2) (- 1 k)) (fma (- (/ k 2) (/ 1 2)) (log (* PI 2)) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (* (/ (log n) 2) (- 1 k)) (fma (- (/ k 2) (/ 1 2)) (log (* PI 2)) (log (sqrt k))))
* * * * [misc]progress:  [ 62 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* * * * [misc]progress:  [ 63 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* * * * [misc]progress:  [ 64 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) (log (sqrt k)))
* * * * [misc]progress:  [ 65 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (pow n (/ (- 1 k) 2))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (log (pow n (/ (- 1 k) 2))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* [exit]simplify:  Simplified to (- (* (log n) (/ (- 1 k) 2)) (fma (- (/ k 2) (/ 1 2)) (log (* PI 2)) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (* (log n) (/ (- 1 k) 2)) (fma (- (/ k 2) (/ 1 2)) (log (* PI 2)) (log (sqrt k))))
* * * * [misc]progress:  [ 66 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (exp (log (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (252 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (+ (log (* PI 2)) (log n)) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (+ (log (* PI 2)) (log n)) (- (log (sqrt k))))
* * * * [misc]progress:  [ 67 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (log (exp (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (exp (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (exp (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (exp (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 68 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (435 enodes)
* [exit]simplify:  Simplified to (* (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (/ k (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (/ k (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 69 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))) (/ (/ k (pow (* PI 2) (/ (- 1 k) 2))) (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))) (/ (/ k (pow (* PI 2) (/ (- 1 k) 2))) (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 70 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (cbrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (cbrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* [exit]simplify:  Simplified to (cbrt (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 71 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (* (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* [exit]simplify:  Simplified to (pow (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 3)
* [exit]simplify:  Simplified to (pow (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 3)
* * * * [misc]progress:  [ 72 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (sqrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (sqrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* [enter]simplify:  Simplifying (sqrt (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 73 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (- (pow n (/ (- 1 k) 2))) (- (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (- (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (pow n (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (- (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (- (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 74 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 75 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 76 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (172 enodes)
* [exit]simplify:  Simplified to (* (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 77 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow n (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow n (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 78 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 79 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 80 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 81 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 82 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 83 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 84 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 85 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (378 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 86 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 87 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 1)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 88 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 1) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 89 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow n (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow n (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 90 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (pow (* PI 2) (/ 1 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (pow (* PI 2) (/ 1 2)) (sqrt k)))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))
* * * * [misc]progress:  [ 91 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 92 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 93 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 94 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 95 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 96 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 97 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 98 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 99 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 100 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 101 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 102 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 103 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 104 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 1)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 105 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) 1) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 106 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 107 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ k 2)))
* * * * [misc]progress:  [ 108 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 109 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 110 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * * * [misc]progress:  [ 111 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 112 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 113 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 114 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 115 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 116 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 117 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 118 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 119 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 120 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 121 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 1)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 1))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 122 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 1) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 123 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt k))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 124 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ 1 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ 1 2)) (sqrt k))
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2)))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2)))
* * * * [misc]progress:  [ 125 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 126 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 127 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 128 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 129 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 130 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 131 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 132 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 133 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 134 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 135 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 136 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 137 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 138 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (pow n (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (pow n (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 139 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 140 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 141 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 1)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* * * * [misc]progress:  [ 142 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* * * * [misc]progress:  [ 143 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 144 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (pow (* PI 2) (/ k 2))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * * * [misc]progress:  [ 145 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 146 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 147 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 148 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 149 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ 1 2)) (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ k 2)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 150 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (log1p (expm1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (expm1 (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (expm1 (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (expm1 (pow n (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 151 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (expm1 (log1p (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (log1p (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (log1p (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (log1p (pow n (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 152 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (* (log n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (log n) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (345 enodes)
* [exit]simplify:  Simplified to (* (/ (log n) 2) (- 1 k))
* [exit]simplify:  Simplified to (* (/ (log n) 2) (- 1 k))
* * * * [misc]progress:  [ 153 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow n (/ 1 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [enter]simplify:  Simplifying (pow n (/ k 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (pow n (/ k 2))
* [exit]simplify:  Simplified to (pow n (/ k 2))
* * * * [misc]progress:  [ 154 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 155 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow n (sqrt (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (pow n (sqrt (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (pow n (sqrt (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 156 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow n 1) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow n 1)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to n
* [exit]simplify:  Simplified to n
* * * * [misc]progress:  [ 157 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow n (- 1 k)) (/ 1 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow n (- 1 k))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (pow n (- 1 k))
* [exit]simplify:  Simplified to (pow n (- 1 k))
* * * * [misc]progress:  [ 158 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 159 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (log (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (log (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (* (- 1 k) (log n)) 2)
* [exit]simplify:  Simplified to (/ (* (- 1 k) (log n)) 2)
* * * * [misc]progress:  [ 160 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (log (exp (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (exp (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (exp (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (exp (pow n (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 161 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (cbrt (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (cbrt (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (cbrt (pow n (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 162 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (cbrt (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (pow (pow n (/ (- 1 k) 2)) 3)
* [exit]simplify:  Simplified to (pow (pow n (/ (- 1 k) 2)) 3)
* * * * [misc]progress:  [ 163 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (sqrt (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (sqrt (pow n (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow n (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 164 / 176 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 165 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (- (+ (pow (* 2 PI) 1/2) (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2)))))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (- (+ (pow (* 2 PI) 1/2) (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2))))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (214 enodes)
* [exit]simplify:  Simplified to (fma (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (fma 1/8 (* (* (sqrt PI) (log (* PI 2))) (* (log (* PI 2)) (* (* k k) (sqrt 2)))) (sqrt (* PI 2))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (* (* (* (sqrt PI) (- 1/2)) (log (* PI 2))) (* (sqrt 2) k))))
* * * * [misc]progress:  [ 166 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* PI 2) (- 1/2 (* 1/2 k))) (pow n (/ (- 1 k) 2))) (sqrt k))
* * * * [misc]progress:  [ 167 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* PI 2) (- 1/2 (* 1/2 k))) (pow n (/ (- 1 k) 2))) (sqrt k))
* * * * [misc]progress:  [ 168 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow n (/ (- 1 k) 2)) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (pow (sqrt 2) 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) k) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))))))))))))))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (pow (sqrt 2) 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) k) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI))))))))))))))))))
* * * * [misc]progress:  [ 169 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow n (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))))))
* * * * [misc]progress:  [ 170 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (pow n (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))))))
* * * * [misc]progress:  [ 171 / 176 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* k (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (* (pow (log n) 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (* (log (* 2 PI)) (* (pow k 2) (log n)))))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (* (log n) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log (* 2 PI)) (* k (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* k (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (* (pow (log n) 2) (sqrt 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow k 2) (sqrt 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (* (log (* 2 PI)) (* (pow k 2) (log n)))))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))))))))))))))))))
* * * * [misc]progress:  [ 172 / 176 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) (pow k 3)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))) (pow k 3))))))))
* * * * [misc]progress:  [ 173 / 176 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))))))))))
* * * * [misc]progress:  [ 174 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (- (+ (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (pow n 1/2)) (* 1/2 (* (sqrt n) (* (log n) k)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (pow n 1/2)) (* 1/2 (* (sqrt n) (* (log n) k)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (161 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (* (log n) k) (* (log n) k)) (* 1/8 (sqrt n)) (fma (* (- 1/2) (sqrt n)) (* (log n) k) (sqrt n))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 175 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (/ 1 n) (- -1/2 (* -1/2 k)))) (sqrt k))
* * * * [misc]progress:  [ 176 / 176 ] simplifiying candidate #<alt-event (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (exp (log n)) (- 1/2 (* 1/2 k)))) (sqrt k))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 11
* [misc]none:  All alts: 11
* [misc]none:  Fresh alt: (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)))
* [misc]none:  Fresh alt: (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* [misc]none:  Fresh alt: (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))
* [misc]none:  Fresh alt: (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))
* [misc]none:  Fresh alt: (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 0
* [misc]none:  (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))): 1
* [misc]none:  (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))): 2
* [misc]none:  (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))): 3
* [misc]none:  (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))): 4
* [misc]none:  (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 5
* [misc]none:  (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)))): 6
* [misc]none:  (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))))): 7
* [misc]none:  (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))): 8
* [misc]none:  (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))): 9
* [misc]none:  (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))): 10
* [misc]none:  Best fresh alt per point
* [misc]none:  (2.1591070107318723e-73 1.0546090354418652e-284): 3
* [misc]none:  (4.2673255068595107e+307 1.641796573996837e+72): 0
* [misc]none:  (1.6618811033930501e-286 4.2616624006393814e+307): 8
* [misc]none:  (1.700131343853337e-247 5.358070604307343e+123): 1
* [misc]none:  (6.91244459251702e+159 6.2427911338324315e+144): 0
* [misc]none:  (2.7602896294106625e+85 1413016772.140476): 0
* [misc]none:  (4.948991987084853e-143 4.975234314899556e-76): 2
* [misc]none:  (1.6743140997091086e-248 16758704080134802.0): 1
* [misc]none:  (6.124581526441171e-72 2.4472280969194244e-239): 0
* [misc]none:  (3.1729755184682613e+99 1.2190355679523996e+246): 0
* [misc]none:  (8.36573081564486e-171 4.0259980559952376e+294): 1
* [misc]none:  (1.9551443859949132e-199 1.0612625616481418e+52): 1
* [misc]none:  (2.8092236867516366e-92 2.0589025523519248e+36): 0
* [misc]none:  (3.2762171748120655e-264 2.7380948133178565e+255): 1
* [misc]none:  (1.0007882000768061e+301 1.1240815104646505e+121): 0
* [misc]none:  (1.4687117125438864e-63 1.1903717794304471e-253): 0
* [misc]none:  (6.805404708852922e-276 4.8394725379365604e+231): 0
* [misc]none:  (1.2613046437556606e-273 1.1781911093287235e+90): 0
* [misc]none:  (4.9644016493223024e+157 2.622523515950845e+46): 0
* [misc]none:  (3.940778559368626e-33 4.007840368164342e+163): 0
* [misc]none:  (4.5929857219747294e+201 2.2776546349112237e+61): 0
* [misc]none:  (6.811006036553457e-239 8.714568815815567e+255): 0
* [misc]none:  (4.930143670298941e-163 4.883160675332215e-65): 1
* [misc]none:  (8.292215173313494e-08 8.286044086380669e+269): 1
* [misc]none:  (1.1096937442974064e+189 2.5007452867635535e+39): 0
* [misc]none:  (1.694187914797535e-197 1.0220391282066121e+67): 0
* [misc]none:  (23927272430021.414 7.23057643946872e+201): 0
* [misc]none:  (4.853399664516162e-305 3.30533827067496e-166): 1
* [misc]none:  (3.588670464978036e+247 4.124664696569464e+307): 0
* [misc]none:  (3.679840099109323e-170 4.860609492717627e+283): 0
* [misc]none:  (1.9693831015496925e+180 89707777220460.48): 0
* [misc]none:  (6.837267614082976e-13 3.7326834852996e+81): 1
* [misc]none:  (1.829705748556049e-75 2.200538467966707e+230): 1
* [misc]none:  (5.316529507267825e-36 3.5697323250583347e-109): 0
* [misc]none:  (1.2234978537990676e-128 1.3110935399580867e-263): 3
* [misc]none:  (1.43007574576318e+135 7.071122237402694e+105): 0
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* [misc]none:  (7.808994559121766e-111 8.788013174305029e-230): 1
* [misc]none:  (4.896551008070313e-307 1.2607016124581028e+98): 0
* [misc]none:  (6.351701463874224e-34 1.1127979592570306e-297): 1
* [misc]none:  (2.0134175477923286e-117 3.3910436622012204e+183): 2
* [misc]none:  (5.027318832526334e+284 1.0214816826091913e+147): 0
* [misc]none:  (8.06210226572923e-308 1.3704592194822044e+306): 0
* [misc]none:  (2.0724540688985427e-14 7.930730410937821e+23): 9
* [misc]none:  (4.870593988390179e-194 5.0297272719312193e+287): 2
* [misc]none:  (3.506434173585025e+201 1.1750256677114723e+302): 0
* [misc]none:  (1.7531612809893653e+136 8.844853331262414e+38): 0
* [misc]none:  (1.178943808525994e-266 9.178781884958768e+207): 0
* [misc]none:  (3.0568938748675284e-154 2.0291756699515804e-73): 0
* [misc]none:  All alt indices
* [misc]none:  (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 0
* [misc]none:  (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))): 1
* [misc]none:  (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))): 2
* [misc]none:  (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))): 3
* [misc]none:  (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))): 4
* [misc]none:  (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 5
* [misc]none:  (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)))): 6
* [misc]none:  (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))))): 7
* [misc]none:  (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))): 8
* [misc]none:  (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))): 9
* [misc]none:  (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))): 10
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* [misc]none:  (1.6570172448601563e-137 2.4048926517811354e+66): 1
* [misc]none:  (1.5982222044177176e+181 8.398043771606399e+47): 0
* [misc]none:  (6.724679859609688e-169 1.4230714989143866e-75): 0
* [misc]none:  (1.3610327499536486e+226 4.84788597345363e+32): 0
* [misc]none:  (1.9963004369674967e-80 1.4604179220567222e+231): 8
* [misc]none:  (1.5216315041338872e-218 1.6707151526371295e-190): 0
* [misc]none:  (8.044445972631143e-28 2.635030752287841e+186): 1
* [misc]none:  (4.12100928340286e-184 9.74865050931635e+298): 1
* [misc]none:  (1.782256728493473e+35 6.657191501816709e+167): 0
* [misc]none:  (2.6679523035634032e-104 8.366391802268445e+167): 1
* [misc]none:  (5.0588074473585105e-110 3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307 66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234 4.416557773834991e-25): 2
* [misc]none:  (1.0684729481870001e-64 6.3073426358942834e+75): 1
* [misc]none:  (0.19659739803111875 7.786539791485611e+181): 1
* [misc]none:  (8.76720870691781e-247 6.160331831501279e+241): 1
* [misc]none:  (3.0044088767799776e-30 4.7140908881238785e+103): 0
* [misc]none:  (4.097601147132013e-78 4.194634882433556e+107): 1
* [misc]none:  (1.7036347403091437e+117 9.645064592867311e+67): 0
* [misc]none:  (8.2625435987749e+74 5.2790261762422465e+19): 0
* [misc]none:  (2.031068672850261e-255 2.4294527094706238e+82): 0
* [misc]none:  (7.274711555473555e+146 1.5565784464325313e+71): 0
* [misc]none:  (1.0953112641111952e+229 3.2587696828142436e+75): 0
* [misc]none:  (8.949756960721031e-195 2.722605535602291e+155): 1
* [misc]none:  (4.178563936936926e-127 2.1657839461347663e+307): 0
* [misc]none:  (7.808994559121766e-111 8.788013174305029e-230): 1
* [misc]none:  (4.896551008070313e-307 1.2607016124581028e+98): 0
* [misc]none:  (6.351701463874224e-34 1.1127979592570306e-297): 1
* [misc]none:  (2.0134175477923286e-117 3.3910436622012204e+183): 2
* [misc]none:  (5.027318832526334e+284 1.0214816826091913e+147): 0
* [misc]none:  (8.06210226572923e-308 1.3704592194822044e+306): 0
* [misc]none:  (2.0724540688985427e-14 7.930730410937821e+23): 9
* [misc]none:  (4.870593988390179e-194 5.0297272719312193e+287): 2
* [misc]none:  (3.506434173585025e+201 1.1750256677114723e+302): 0
* [misc]none:  (1.7531612809893653e+136 8.844853331262414e+38): 0
* [misc]none:  (1.178943808525994e-266 9.178781884958768e+207): 0
* [misc]none:  (3.0568938748675284e-154 2.0291756699515804e-73): 0
* [misc]none:  Picked alt (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI)))) into (* -1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))
* [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (pow k 2)) (+ (* (* -1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) k) (pow (* 2 PI) 1/2))) into (- (+ (pow (* 2 PI) 1/2) (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2))))))
* [misc]approximate:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [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 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* [misc]approximate:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [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 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (/ +nan.0 (pow (* 2 PI) 1/2)) into (* +nan.0 (sqrt (/ 1 (* 2 PI))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (/ +nan.0 (pow (* 2 PI) 1/2)) into (* +nan.0 (sqrt (/ 1 (* 2 PI))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 (* 2 PI)))) into (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (pow (* 2 PI) 1/2)) (+ (* (* +nan.0 (sqrt (/ 1 (* 2 PI)))) (/ (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (pow (* 2 PI) 1/2)) (+ (* (* +nan.0 (sqrt (/ 1 (* 2 PI)))) (/ (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/2))) (* (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))) (/ (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))))))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (pow (sqrt 2) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI))))))) (pow k 2)) (* (* +nan.0 (* (sqrt 1/2) (sqrt (/ 1 PI)))) k))) into (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (pow (sqrt 2) 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) k) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (/ 1 k)) (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) (/ 1 (- k))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow n (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (pow n (/ k 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (/ k 2) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ (pow n 1/2) 1) into (sqrt n)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]backup-simplify:  Simplify (/ +nan.0 (pow (* 2 PI) 1/2)) into (* +nan.0 (sqrt (/ 1 (* 2 PI))))
* [misc]backup-simplify:  Simplify (/ (sqrt n) (* +nan.0 (sqrt (/ 1 (* 2 PI))))) into (* +nan.0 (* (sqrt (* n PI)) (/ 1 (sqrt 1/2))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow n (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (pow n (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n))))
* [misc]backup-simplify:  Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) into (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))
* [misc]backup-simplify:  Simplify (/ (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) into (* (sqrt (/ n k)) (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* k (log n))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow n (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (pow n (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n))))
* [misc]backup-simplify:  Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n))))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) into (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))
* [misc]backup-simplify:  Simplify (/ (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) into (* (sqrt (/ n k)) (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* k (log n))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ n k)) (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* k (log n)))))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ n k)) in k
* [misc]taylor:  Taking taylor expansion of (/ n k) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ n 1) into n
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n)
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* k (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* k (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* k (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* k (log n)) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 0 (log n)) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (log n))) into (log n)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (log n)) (* 0 0)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ (pow (* 2 PI) 1/2) 1) into (sqrt (* 2 PI))
* [misc]backup-simplify:  Simplify (* 0 (sqrt (* 2 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (log n))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (log n))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (+ (* (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)) (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) (+ (* (* (sqrt (/ n k)) (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* k (log n)))))) (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 1) 1)))) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (- (/ (* -1/2 (* (sqrt (* 2 PI)) (log (* 2 PI)))) 1) (+ (* (sqrt (* 2 PI)) (/ (* 1/2 (log n)) 1)))) into (- (+ (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt PI) (* (log n) (sqrt 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt PI) (* (log n) (sqrt 2))))))) (* (* +nan.0 n) (sqrt (* 2 PI)))) into (- (* +nan.0 (* (* n (sqrt 2)) (sqrt PI))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (* n (sqrt 2)) (sqrt PI)))) into (- (* +nan.0 (* (* n (sqrt 2)) (sqrt PI))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (+ (* (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)) (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) (+ (* (* (sqrt (/ n k)) (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* k (log n)))))) (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))) (* 0 (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (log n)) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log n) 2))
* [misc]backup-simplify:  Simplify (- (/ (* 1/8 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 2))) 1) (+ (* (sqrt (* 2 PI)) (/ (* 1/8 (pow (log n) 2)) 1)) (* (- (+ (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt PI) (* (log n) (sqrt 2)))))) (/ (* 1/2 (log n)) 1)))) into (+ (* 1/4 (* (sqrt PI) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (+ (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (* 1/8 (* (sqrt PI) (* (pow (log n) 2) (sqrt 2))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 1/4 (* (sqrt PI) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (+ (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (* 1/8 (* (sqrt PI) (* (pow (log n) 2) (sqrt 2))))))) (+ (* (* +nan.0 n) (- (+ (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt PI) (* (log n) (sqrt 2))))))) (* (* +nan.0 (pow n 2)) (sqrt (* 2 PI))))) into (- (+ (* +nan.0 (* (* n (* (log n) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* n (* (log (* 2 PI)) (sqrt 2))) (sqrt PI))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* n (* (log n) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* n (* (log (* 2 PI)) (sqrt 2))) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (* n (* (log n) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* n (* (log (* 2 PI)) (sqrt 2))) (sqrt PI))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (+ (* (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)) (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k))) (+ (* (* (sqrt (/ n k)) (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* k (log n)))))) (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))) (* 0 (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))) (* 0 (/ 0 (* (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log n))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (log n)) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 3) 6)) (* (/ (pow (* 1/2 (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log n) 3))
* [misc]backup-simplify:  Simplify (- (/ (* -1/48 (* (sqrt (* 2 PI)) (pow (log (* 2 PI)) 3))) 1) (+ (* (sqrt (* 2 PI)) (/ (* 1/48 (pow (log n) 3)) 1)) (* (- (+ (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt PI) (* (log n) (sqrt 2)))))) (/ (* 1/8 (pow (log n) 2)) 1)) (* (+ (* 1/4 (* (sqrt PI) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (+ (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (* 1/8 (* (sqrt PI) (* (pow (log n) 2) (sqrt 2)))))) (/ (* 1/2 (log n)) 1)))) into (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (log n) (sqrt 2))))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 PI)) (* (pow (log n) 2) (sqrt 2))))) (+ (* 1/48 (* (sqrt PI) (* (pow (log (* 2 PI)) 3) (sqrt 2)))) (* 1/48 (* (sqrt PI) (* (pow (log n) 3) (sqrt 2))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (log n) (sqrt 2))))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 PI)) (* (pow (log n) 2) (sqrt 2))))) (+ (* 1/48 (* (sqrt PI) (* (pow (log (* 2 PI)) 3) (sqrt 2)))) (* 1/48 (* (sqrt PI) (* (pow (log n) 3) (sqrt 2))))))))) (+ (* (* +nan.0 n) (+ (* 1/4 (* (sqrt PI) (* (log (* 2 PI)) (* (log n) (sqrt 2))))) (+ (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (sqrt 2)))) (* 1/8 (* (sqrt PI) (* (pow (log n) 2) (sqrt 2))))))) (+ (* (* +nan.0 (pow n 2)) (- (+ (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (sqrt 2)))) (* 1/2 (* (sqrt PI) (* (log n) (sqrt 2))))))) (* (* +nan.0 (pow n 3)) (sqrt (* 2 PI)))))) into (- (+ (* +nan.0 (* (* (pow n 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log n) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log n) 2) (sqrt 2))) (sqrt PI))) (- (* +nan.0 (* (* (pow n 3) (sqrt 2)) (sqrt PI))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (pow n 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log n) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log n) 2) (sqrt 2))) (sqrt PI))) (- (* +nan.0 (* (* (pow n 3) (sqrt 2)) (sqrt PI)))))))))))))) into (- (+ (* +nan.0 (* (* n (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log n) 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 3) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (sqrt PI))) (- (* +nan.0 (* (* (pow n 2) (* (log n) (sqrt 2))) (sqrt PI))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (* n (* (pow (log (* 2 PI)) 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log (* 2 PI)) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log n) 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 3) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (log (* 2 PI)) (* (log n) (sqrt 2)))) (sqrt PI))) (- (* +nan.0 (* (* (pow n 2) (* (log n) (sqrt 2))) (sqrt PI)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* n (* (log n) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* n (* (log (* 2 PI)) (sqrt 2))) (sqrt PI)))))))) (* k 1)) (- (* +nan.0 (* (* n (sqrt 2)) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* n (* (log n) (* k (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 3) (* (pow k 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* k (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log n) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (log (* 2 PI)) (* (log n) (* (sqrt 2) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log n) 2) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (* +nan.0 (* (* n (* (log (* 2 PI)) (* k (sqrt 2)))) (sqrt PI))))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ 1 n)))) into (pow (/ 1 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) into (exp (* 1/2 (/ (log (/ 1 n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 n) 1/2) (exp (* 1/2 (/ (log (/ 1 n)) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* 1/2 (/ (log (/ 1 n)) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* 1/2 (/ (log (/ 1 n)) k))))) (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (* +nan.0 (* (sqrt (/ 1 n)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/2 (/ (log (/ 1 n)) k))))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log n))) into (* -1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (log n))) into (pow n -1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k)))
* [misc]backup-simplify:  Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (* (sqrt (/ k n)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log n))) into (* -1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (log n))) into (pow n -1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k)))
* [misc]backup-simplify:  Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 k)) (pow (* PI 2) (/ (- 1 (/ 1 k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 k)) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (* (sqrt (/ k n)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ k n)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k))))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ k n)) in k
* [misc]taylor:  Taking taylor expansion of (/ k n) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n)
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log n) k))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log n) k)) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (log n) k) in k
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (log n) 1) into (log n)
* [misc]backup-simplify:  Simplify (* -1/2 (log n)) into (* -1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))) into (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k))))
* [misc]backup-simplify:  Simplify (* 0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (+ (* (* (sqrt (/ k n)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k))))) (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))) (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (/ +nan.0 n) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* n (exp (* -1/2 (/ (log n) k)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* n (exp (* -1/2 (/ (log n) k))))))) into (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* n (exp (* -1/2 (/ (log n) k)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (+ (* (* (sqrt (/ k n)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k))))) (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) (* 0 (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (exp (* -1/2 (/ (log n) k)))) (+ (* (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (/ +nan.0 n) 0) (* (/ +nan.0 (pow n 2)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k))))))) into (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (pow n 2) (exp (* -1/2 (/ (log n) k)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (pow n 2) (exp (* -1/2 (/ (log n) k))))))) into (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (pow n 2) (exp (* -1/2 (/ (log n) k)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) (+ (* (* (sqrt (/ k n)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k))))) (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) (* 0 (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) (* 0 (/ 0 (* (sqrt (/ 1 k)) (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (exp (* -1/2 (/ (log n) k)))) (+ (* (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (/ +nan.0 n) 0) (+ (* (/ +nan.0 (pow n 2)) 0) (* (/ +nan.0 (pow n 3)) (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* -1/2 (/ (log n) k)))))))) into (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (pow n 3) (exp (* -1/2 (/ (log n) k)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (pow n 3) (exp (* -1/2 (/ (log n) k))))))) into (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (* (pow n 3) (exp (* -1/2 (/ (log n) k)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) (* (pow (/ 1 n) 3) (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) (* (pow (/ 1 n) 2) (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) (* (/ 1 n) (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (pow n 2) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (pow n 3) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) (pow k 3)))) (- (* +nan.0 (/ (* n (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) k))))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ -1 n)))) into (pow (/ -1 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
* [misc]backup-simplify:  Simplify (* -1/2 (log (/ -1 n))) into (* -1/2 (log (/ -1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) into (exp (* -1/2 (/ (log (/ -1 n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 n) 1/2) (exp (* -1/2 (/ (log (/ -1 n)) k)))) into (* (sqrt (/ -1 n)) (/ 1 (exp (* -1/2 (/ (log (/ -1 n)) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in k
* [misc]taylor:  Taking taylor expansion of (* PI 2) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ -1 n)) (/ 1 (exp (* -1/2 (/ (log (/ -1 n)) k))))) (/ +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into (* +nan.0 (/ (* (sqrt (/ -1 n)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (log (/ -1 n)) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt (/ -1 k))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ 1 (- k))) (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (* PI 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* PI 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* PI 2)) in n
* [misc]taylor:  Taking taylor expansion of (* PI 2) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* PI 2) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt (/ -1 k))))
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt (/ -1 k)))) in k
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log -1) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log -1) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -1) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt (/ -1 k))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log -1) (log n)) k))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log -1) (log n)) k)) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (- (log -1) (log n)) k) in k
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -1) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (/ (- (log -1) (log n)) 1) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* -1/2 (- (log -1) (log n))) into (* -1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))))
* [misc]backup-simplify:  Simplify (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))))) into (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))) into (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (+ (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt (/ -1 k)))) (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (- (log -1) (log n)))) 0) (* 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))))) (+ (* (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (+ (* (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI))))))) (+ (* (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (sqrt (/ -1 k)))) (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) (* 0 (/ 0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))))) (+ (* (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log n)))) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (log (* 2 PI)))))) (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (- (log -1) (log (/ -1 n)))))) (* k (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow n (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (pow n (/ k 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (/ k 2) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ (pow n 1/2) 1) into (sqrt n)
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow n (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (pow n (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n))))
* [misc]backup-simplify:  Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow n (/ 1 2)) (pow n (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow n (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
* [misc]taylor:  Taking taylor expansion of (pow n (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log n))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log n)) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (log n)) into (* 1/2 (* k (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* k (log n)))) into (exp (* 1/2 (* k (log n))))
* [misc]backup-simplify:  Simplify (/ (pow n 1/2) (exp (* 1/2 (* k (log n))))) into (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (sqrt n) into (sqrt n)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt n))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (exp (* 1/2 (* k (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* k (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* k (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* k (log n)) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (* 0 (log n)) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (log n))) into (log n)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (log n)) (* 0 0)) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt n) 1) into (sqrt n)
* [misc]backup-simplify:  Simplify (sqrt n) into (sqrt n)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (log n))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (log n))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 1) 1)))) into (* 1/2 (log n))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (* 1/2 (log n)) 1)))) into (- (* 1/2 (log n)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt n) (- (* 1/2 (log n)))) (* 0 1)) into (- (* 1/2 (* (sqrt n) (log n))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (sqrt n) (log n)))) into (- (* 1/2 (* (sqrt n) (log n))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* k (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* k (log n))))) (+ (* (* (sqrt n) (/ 1 (exp (* 1/2 (* k (log n)))))) (/ 0 (exp (* 1/2 (* k (log n)))))) (* 0 (/ 0 (exp (* 1/2 (* k (log n)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log n)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (log n)) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log n) 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (* 1/8 (pow (log n) 2)) 1)) (* (- (* 1/2 (log n))) (/ (* 1/2 (log n)) 1)))) into (* 1/8 (pow (log n) 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt n))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt n) (* 1/8 (pow (log n) 2))) (+ (* 0 (- (* 1/2 (log n)))) (* 0 1))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
* [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (- (* 1/2 (* (sqrt n) (log n)))) (* k 1)) (sqrt n))) into (- (+ (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (sqrt n)) (* 1/2 (* (sqrt n) (* (log n) k))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ 1 n)))) into (pow (/ 1 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ 1 n))) into (* 1/2 (log (/ 1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) into (exp (* 1/2 (/ (log (/ 1 n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 n) 1/2) (exp (* 1/2 (/ (log (/ 1 n)) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* 1/2 (/ (log (/ 1 n)) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log n))) into (* -1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (log n))) into (pow n -1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k)))
* [misc]backup-simplify:  Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 n) (/ 1 2)) (pow (/ 1 n) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log n))) into (* -1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (log n))) into (pow n -1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log n))) into (* -1/2 (/ (log n) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k)))
* [misc]backup-simplify:  Simplify (/ (pow n -1/2) (exp (* -1/2 (/ (log n) k)))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k)))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 n)) into (sqrt (/ 1 n))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 n)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (exp (* -1/2 (/ (log n) k)))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log n) k))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log n) k)) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (log n) k) in k
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (log n) 1) into (log n)
* [misc]backup-simplify:  Simplify (* -1/2 (log n)) into (* -1/2 (log n))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (log n) k))) into (exp (* -1/2 (/ (log n) k)))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* -1/2 (/ (log n) k)))) into (/ 1 (exp (* -1/2 (/ (log n) k))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k)))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) into (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 n)) 0) (* 0 (/ 1 (exp (* -1/2 (/ (log n) k)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- (+ (* (/ 1 (exp (* -1/2 (/ (log n) k)))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 n)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 n)) 0) (+ (* 0 0) (* 0 (/ 1 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log n) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (log n) k)))) (+ (* (* (sqrt (/ 1 n)) (/ 1 (exp (* -1/2 (/ (log n) k))))) (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (log n) k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (/ 1 n))) (/ 1 (exp (* -1/2 (/ (log (/ 1 n)) (/ 1 k)))))) into (* (sqrt n) (/ 1 (exp (* -1/2 (* (log (/ 1 n)) k)))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ -1 n)))) into (pow (/ -1 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
* [misc]backup-simplify:  Simplify (* -1/2 (log (/ -1 n))) into (* -1/2 (log (/ -1 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) into (exp (* -1/2 (/ (log (/ -1 n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 n) 1/2) (exp (* -1/2 (/ (log (/ -1 n)) k)))) into (* (sqrt (/ -1 n)) (/ 1 (exp (* -1/2 (/ (log (/ -1 n)) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- n)) (/ 1 2)) (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- n)) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log -1) (log n))) into (* -1/2 (/ (- (log -1) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log -1) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log -1) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -1) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -1) (log n)))) into (exp (* 1/2 (- (log -1) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log -1) (log n)) k))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log -1) (log n)) k)) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (- (log -1) (log n)) k) in k
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -1) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (/ (- (log -1) (log n)) 1) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (* -1/2 (- (log -1) (log n))) into (* -1/2 (- (log -1) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log -1) (log n)) k))) into (exp (* -1/2 (/ (- (log -1) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) into (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -1) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log -1) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log -1) (log n)))) (exp (* -1/2 (/ (- (log -1) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log -1) (log n)) k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -1) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log -1) (log (/ 1 (- n)))) (/ 1 (- k)))))) into (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (log1p (expm1 (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (expm1 (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (expm1 (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (expm1 (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 2 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (expm1 (log1p (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log1p (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (log1p (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (log1p (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 3 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (exp (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (log (* PI 2)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 4 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (exp (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (log (* PI 2)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 5 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (* 1 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* 1 (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* * * * [misc]progress:  [ 6 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (/ (pow (* PI 2) (/ 1 2)) (pow (* PI 2) (/ k 2))))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (/ 1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ 1 2))
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ 1 2))
* [enter]simplify:  Simplifying (pow (* PI 2) (/ k 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ k 2))
* [exit]simplify:  Simplified to (pow (* 2 PI) (/ k 2))
* * * * [misc]progress:  [ 7 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (pow (* PI 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 8 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (sqrt (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (sqrt (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (pow (* 2 PI) (sqrt (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 9 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (pow (* PI 2) 1) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow (* PI 2) 1)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* 2 PI)
* [exit]simplify:  Simplified to (* 2 PI)
* * * * [misc]progress:  [ 10 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (pow (* PI 2) (- 1 k)) (/ 1 2)))))>
* [enter]simplify:  Simplifying (pow (* PI 2) (- 1 k))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (pow (* 2 PI) (- 1 k))
* [exit]simplify:  Simplified to (pow (* 2 PI) (- 1 k))
* * * * [misc]progress:  [ 11 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (pow PI (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (pow 2 (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (pow 2 (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow 2 (/ (- 1 k) 2))
* * * * [misc]progress:  [ 12 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (pow (* PI 2) (/ (- 1 k) 2)) 1))))>
* * * * [misc]progress:  [ 13 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (exp (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (490 enodes)
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (* (log (* 2 PI)) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 14 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (log (exp (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (exp (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (exp (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (exp (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 15 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (cbrt (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 16 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (cbrt (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (pow (pow (* 2 PI) (/ (- 1 k) 2)) 3)
* [exit]simplify:  Simplified to (pow (pow (* 2 PI) (/ (- 1 k) 2)) 3)
* * * * [misc]progress:  [ 17 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (sqrt (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 18 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (* 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 19 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (log1p (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (expm1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 20 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (expm1 (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (log1p (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 21 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) 1)))>
* * * * [misc]progress:  [ 22 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 23 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 24 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (283 enodes)
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* * * * [misc]progress:  [ 25 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (298 enodes)
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* [exit]simplify:  Simplified to (fma (/ (- k 1) 2) (log (* PI 2)) (log (sqrt k)))
* * * * [misc]progress:  [ 26 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (log (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (exp (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 27 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (/ (* k (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (* k (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 28 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 29 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sqrt k) k) (pow (* PI 2) (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (* (sqrt k) k) (pow (* PI 2) (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 30 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 31 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (- (sqrt k)) (- (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (sqrt k))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt k))
* [exit]simplify:  Simplified to (- (sqrt k))
* [enter]simplify:  Simplifying (- (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (- (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (- (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 32 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 33 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 34 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 35 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 36 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 37 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 38 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 39 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 40 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ 1 (pow PI (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ 1 (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ 1 (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 41 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 42 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 43 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ 1 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 44 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 45 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (sqrt k) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 46 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 47 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (/ (sqrt k) (pow PI (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 48 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt k) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 49 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 50 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (/ (sqrt k) 1) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [exit]simplify:  Simplified to (sqrt k)
* * * * [misc]progress:  [ 51 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * * * [misc]progress:  [ 52 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 53 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 54 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (/ (sqrt k) (pow (* PI 2) (/ 1 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI 2) (/ 1 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ 1 2)))
* [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI 2) (/ 1 2)))
* * * * [misc]progress:  [ 55 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (log1p (expm1 (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (expm1 (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 56 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (expm1 (log1p (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log1p (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (log1p (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (log1p (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 57 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (pow (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) 1))>
* * * * [misc]progress:  [ 58 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (397 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 59 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (397 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 60 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* PI 2)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* PI 2)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 61 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (* (log n) (/ k 2))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log n)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log n)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 62 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (365 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 63 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (365 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 64 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 65 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (* (log n) (/ 1 2)) (log (pow n (/ k 2)))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (438 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 66 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (379 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* PI 2)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* PI 2)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 67 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (379 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* PI 2)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* PI 2)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 68 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (288 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 69 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (* (log n) (/ k 2))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (449 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* 2 PI)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (/ (- 1 k) 2) (log (* 2 PI)) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 70 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (357 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 71 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (357 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 72 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* PI 2)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (/ k 2) (log n) (log (sqrt k))))
* * * * [misc]progress:  [ 73 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (- (log (pow n (/ 1 2))) (log (pow n (/ k 2)))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (418 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 74 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 75 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 76 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (- (log (sqrt k)) (log (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 2) (/ (log n) 2)) (fma (log n) (/ k 2) (log (sqrt k))))
* * * * [misc]progress:  [ 77 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (- (log (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (log (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (276 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log n)) (fma (log (* PI 2)) (- (/ k 2) (/ 1 2)) (log (sqrt k))))
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log n)) (fma (log (* PI 2)) (- (/ k 2) (/ 1 2)) (log (sqrt k))))
* * * * [misc]progress:  [ 78 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (exp (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (log (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (405 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k))))
* * * * [misc]progress:  [ 79 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (log (exp (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (exp (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (exp (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt k))))
* [exit]simplify:  Simplified to (exp (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt k))))
* * * * [misc]progress:  [ 80 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (170 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ k (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ k (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 81 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2)))) (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (/ k (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (/ k (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 82 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (sqrt k) k)) (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (sqrt k) k)) (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 83 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ k (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ k (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* * * * [misc]progress:  [ 84 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))) (cbrt (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))) (cbrt (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (cbrt (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 85 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (411 enodes)
* [exit]simplify:  Simplified to (pow (/ (* (/ (pow n (/ 1 2)) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ k 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (* (/ (pow n (/ 1 2)) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ k 2))) 3)
* * * * [misc]progress:  [ 86 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (sqrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (sqrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (sqrt (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (sqrt (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (sqrt (/ (pow (* 2 PI) (/ (- 1 k) 2)) (* (/ (sqrt k) (pow n (/ 1 2))) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 87 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (- (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (- (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (- (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (- (pow n (/ 1 2))) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (- (pow n (/ 1 2))) (pow n (/ k 2)))
* [enter]simplify:  Simplifying (- (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (- (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 88 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 89 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 90 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 91 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (278 enodes)
* * [misc]simplify:  iters left: 1 (396 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 92 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 93 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 94 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 95 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 96 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 97 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 98 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow PI (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow PI (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 99 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 100 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 101 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 1)) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 102 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) 1) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 103 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt k)) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (sqrt k))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 104 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (/ (sqrt k) (pow (* 2 PI) (/ 1 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (/ (sqrt k) (pow (* 2 PI) (/ 1 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* 2 PI) (/ k 2)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* 2 PI) (/ k 2)))
* * * * [misc]progress:  [ 105 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 106 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 107 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 108 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 109 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 110 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 111 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 112 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 113 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 114 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 115 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 116 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 117 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 118 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 1)) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 119 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) 1) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 120 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k)) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 121 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* 2 PI) (/ k 2)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (pow (* 2 PI) (/ k 2)))
* * * * [misc]progress:  [ 122 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (306 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 123 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 124 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 125 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 126 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 127 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 128 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (353 enodes)
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 129 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 130 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 131 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 132 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 133 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 134 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 135 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 1)) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (263 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 136 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 137 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt k)) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt k))
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (sqrt k))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 138 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (353 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ 1 2)) (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ 1 2)) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * * * [misc]progress:  [ 139 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 140 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 141 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 142 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (sqrt (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (sqrt (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 143 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ k 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ k 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 144 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 145 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (271 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (/ (sqrt (pow n (/ k 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (/ (sqrt (pow n (/ k 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 146 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (319 enodes)
* [exit]simplify:  Simplified to (/ (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (* (sqrt (sqrt k)) (sqrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (* (sqrt (sqrt k)) (sqrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 147 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (282 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 148 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (402 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 149 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (/ (sqrt (pow n (/ k 2))) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (/ (sqrt (pow n (/ k 2))) (pow PI (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 150 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (447 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 151 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (cbrt (pow n (/ 1 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (cbrt (pow n (/ 1 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 152 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 1)) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (319 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 153 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) 1) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (277 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 154 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt k)) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 155 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * * * [misc]progress:  [ 156 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ 1 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ 1 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 157 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 158 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 159 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 160 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (497 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 161 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ 1 2))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 162 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (232 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (* (* (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ 1 2)))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (* (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ 1 2)))) (/ (cbrt (pow n (/ 1 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 163 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (360 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 164 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (365 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (cbrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 165 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) 1)) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 166 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (* (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ 1 2)))) (cbrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (* (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ 1 2)))) (cbrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 167 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (377 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (cbrt (pow n (/ 1 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (cbrt (pow n (/ 1 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 168 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (365 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 169 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 1)) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ 1 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 170 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) 1) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (cbrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 171 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt k)) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (sqrt k))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (cbrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (sqrt k)) (cbrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 172 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (232 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (/ (sqrt k) (pow (* 2 PI) (/ 1 2))) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (/ (/ (sqrt k) (pow (* 2 PI) (/ 1 2))) (cbrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2))))
* * * * [misc]progress:  [ 173 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 174 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 175 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ 1 2)))) (* (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ 1 2)))) (* (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 176 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (198 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (/ (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (/ (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 177 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (482 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (pow n (/ 1 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (* (sqrt (pow n (/ 1 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 178 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (251 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 179 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (pow n (/ k 2))))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (pow n (/ k 2))))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 180 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (* (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 181 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 182 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (* (cbrt (pow n (/ k 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 183 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 184 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (346 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 185 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (362 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (cbrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 186 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 1)) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 187 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (cbrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 188 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt k)) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt k))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 189 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * * * [misc]progress:  [ 190 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 191 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 192 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (/ k 2))) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (/ k 2))) (pow PI (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 193 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (320 enodes)
* * [misc]simplify:  iters left: 1 (486 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 194 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 195 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 196 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 197 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 198 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 199 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 200 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (pow PI (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (pow PI (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 201 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (486 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 202 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (sqrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt k))))
* * * * [misc]progress:  [ 203 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 1)) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 204 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) 1) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (/ (sqrt (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 205 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt k)) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt k)) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 206 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow (* 2 PI) (/ 1 2)) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * * * [misc]progress:  [ 207 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 208 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 209 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 210 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sqrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (* (/ (sqrt (pow n (/ 1 2))) (cbrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 211 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (cbrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 212 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 213 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 214 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 215 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (sqrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 216 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) 1)) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 217 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 218 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 219 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 220 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 1)) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ 1 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (sqrt (pow n (/ 1 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 221 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) 1) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (sqrt (pow n (/ 1 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (sqrt (pow n (/ 1 2))) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 222 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt k)) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt k))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt k))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 223 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (sqrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (sqrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2))))
* * * * [misc]progress:  [ 224 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (* (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (* (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 225 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 226 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (302 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 227 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (198 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 228 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 229 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (/ (/ 1 (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (/ (/ 1 (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 230 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (432 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 231 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (322 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 232 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (440 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 233 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 234 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 235 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (324 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 236 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 237 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 1)) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 238 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (cbrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 239 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt k)) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (sqrt k))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt k)) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt k)) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 240 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* 2 PI) (/ k 2))) (cbrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 241 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 242 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 243 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (426 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 244 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (439 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (pow n (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 245 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (435 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 246 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (pow n (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 247 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 248 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (464 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (sqrt (sqrt k)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (* (sqrt (sqrt k)) (sqrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 249 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt (pow n (/ k 2))) (sqrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (/ (pow n (/ 1 2)) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 250 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow n (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 251 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 252 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 253 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 254 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 1)) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 255 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) 1) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (/ (pow n (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 256 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt k)) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt k)) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt k)) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 257 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (pow (* PI 2) (/ 1 2)) (sqrt k)) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* 2 PI) (/ k 2))) (sqrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 258 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 259 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 260 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 261 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 262 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 263 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 264 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 265 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 266 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 267 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 268 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 269 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 270 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* PI 2) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 271 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ 1 1)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ 1 1))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* * * * [misc]progress:  [ 272 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) 1) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* * * * [misc]progress:  [ 273 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (sqrt k)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt k))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 274 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ 1 2)) (sqrt k))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (pow n (/ k 2)))
* * * * [misc]progress:  [ 275 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 276 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 277 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 278 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 279 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 280 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 281 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 282 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 283 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 284 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 285 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow PI (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))) (pow 2 (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))) (pow 2 (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 286 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 287 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 288 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ 1 1)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 1))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* * * * [misc]progress:  [ 289 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 1) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* [exit]simplify:  Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt k))
* * * * [misc]progress:  [ 290 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt k))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 291 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ 1 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ 1 2)) (sqrt k))
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow (* PI 2) (/ k 2))) (pow n (/ k 2)))
* * * * [misc]progress:  [ 292 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ 1 (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 293 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ 1 (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 294 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 295 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 296 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [exit]simplify:  Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 297 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 298 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 299 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 300 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 301 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) 1)) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt k)))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 302 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (pow n (/ 1 2)))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (pow n (/ k 2)) (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (pow n (/ k 2)) (sqrt k)))
* * * * [misc]progress:  [ 303 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (pow n (/ k 2)) (sqrt k)))
* [exit]simplify:  Simplified to (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (pow n (/ k 2)) (sqrt k)))
* * * * [misc]progress:  [ 304 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (pow n (/ 1 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (pow n (/ 1 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (pow n (/ k 2)) (sqrt k)))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (* (pow n (/ k 2)) (sqrt k)))
* * * * [misc]progress:  [ 305 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ 1 1)) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ 1 1))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (pow n (/ k 2)) (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (pow n (/ k 2)) (sqrt k)))
* * * * [misc]progress:  [ 306 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) 1) (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (pow n (/ k 2)) (sqrt k)))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (pow n (/ k 2)) (sqrt k)))
* * * * [misc]progress:  [ 307 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt k)) (/ (/ 1 (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt k))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt k))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ k 2)))
* * * * [misc]progress:  [ 308 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (/ (/ 1 (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ 1 2)))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (sqrt k)) (pow (* PI 2) (/ 1 2)))
* [enter]simplify:  Simplifying (/ (/ 1 (pow n (/ k 2))) (pow (* PI 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (pow (* 2 PI) (/ k 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ 1 (* (pow (* 2 PI) (/ k 2)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 309 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* 1 (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 310 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 311 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (/ (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 312 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 313 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 314 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt k)) (pow n (/ k 2)))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 315 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* * [misc]simplify:  iters left: 1 (489 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ k 2))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ 1 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ k 2))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ 1 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 316 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 317 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 318 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (* (sqrt (sqrt k)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 319 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 320 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (/ (/ (pow n (/ 1 2)) (sqrt (sqrt k))) (pow n (/ k 2))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 321 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt (sqrt k)))
* * * * [misc]progress:  [ 322 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 323 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ k 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ k 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2))))
* * * * [misc]progress:  [ 324 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 (sqrt (pow (* PI 2) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ k 2)) (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ k 2)) (pow n (/ 1 2))))
* * * * [misc]progress:  [ 325 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2)))
* * * * [misc]progress:  [ 326 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2)))
* * * * [misc]progress:  [ 327 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2))))
* * * * [misc]progress:  [ 328 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2)))) (pow (* PI 2) (/ k 2))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (/ (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) (* (sqrt k) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) (* (sqrt k) (pow n (/ k 2))))
* * * * [misc]progress:  [ 329 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 330 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 331 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (cbrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (cbrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 332 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (cbrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (cbrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 333 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ k 2)) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ k 2)) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 334 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (sqrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (sqrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 335 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (sqrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt k) (sqrt (pow n (/ 1 2)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 336 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (sqrt (pow n (/ 1 2))) 1) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ k 2)) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow n (/ 1 2)))))
* [exit]simplify:  Simplified to (* (/ (pow n (/ k 2)) (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow n (/ 1 2)))))
* * * * [misc]progress:  [ 337 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ k 2))) (/ (/ (sqrt k) (pow n (/ 1 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ k 2))) (/ (/ (sqrt k) (pow n (/ 1 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 338 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ 1 (sqrt (pow n (/ k 2)))) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (* (sqrt (pow n (/ k 2))) (/ (/ (sqrt k) (pow n (/ 1 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (sqrt (pow n (/ k 2))) (/ (/ (sqrt k) (pow n (/ 1 2))) (pow (* PI 2) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 339 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ 1 1) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (/ (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 340 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (/ (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 341 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ 1 2)) (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ 1 (pow n (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (/ 1 (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 342 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (sqrt k) (pow n (/ k 2))))
* * * * [misc]progress:  [ 343 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (/ 1 2)) (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ k 2)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))) (pow n (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 344 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (log1p (expm1 (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (expm1 (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (expm1 (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 345 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (expm1 (log1p (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (log1p (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log1p (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (log1p (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 346 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow n (- (/ 1 2) (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (- (/ 1 2) (/ k 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (- (/ 1 2) (/ k 2))
* [exit]simplify:  Simplified to (- (/ 1 2) (/ k 2))
* * * * [misc]progress:  [ 347 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (pow (/ (pow n (/ 1 2)) (pow n (/ k 2))) 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 348 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (- (* (log n) (/ 1 2)) (* (log n) (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (- (* (log n) (/ 1 2)) (* (log n) (/ k 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (302 enodes)
* [exit]simplify:  Simplified to (/ (* (log n) (- 1 k)) 2)
* [exit]simplify:  Simplified to (/ (* (log n) (- 1 k)) 2)
* * * * [misc]progress:  [ 349 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (- (* (log n) (/ 1 2)) (log (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (- (* (log n) (/ 1 2)) (log (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (- (/ (log n) 2) (* (/ k 2) (log n)))
* [exit]simplify:  Simplified to (- (/ (log n) 2) (* (/ k 2) (log n)))
* * * * [misc]progress:  [ 350 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (- (log (pow n (/ 1 2))) (* (log n) (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (- (log (pow n (/ 1 2))) (* (log n) (/ k 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (* (/ (log n) 2) (- 1 k))
* [exit]simplify:  Simplified to (* (/ (log n) 2) (- 1 k))
* * * * [misc]progress:  [ 351 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (- (log (pow n (/ 1 2))) (log (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (- (log (pow n (/ 1 2))) (log (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (- (/ (log n) 2) (* (/ k 2) (log n)))
* [exit]simplify:  Simplified to (- (/ (log n) 2) (* (/ k 2) (log n)))
* * * * [misc]progress:  [ 352 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (exp (log (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (log (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (- (/ (log n) 2) (* (log n) (/ k 2)))
* [exit]simplify:  Simplified to (- (/ (log n) 2) (* (log n) (/ k 2)))
* * * * [misc]progress:  [ 353 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (log (exp (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (exp (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (exp (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (exp (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 354 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (cbrt (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (* (* (pow n (/ 1 2)) (pow n (/ 1 2))) (pow n (/ 1 2))) (* (* (pow n (/ k 2)) (pow n (/ k 2))) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (pow (/ (pow n (/ 1 2)) (pow n (/ k 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (pow n (/ 1 2)) (pow n (/ k 2))) 3)
* * * * [misc]progress:  [ 355 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (cbrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 356 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (cbrt (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (pow (/ (pow n (/ 1 2)) (pow n (/ k 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (pow n (/ 1 2)) (pow n (/ k 2))) 3)
* * * * [misc]progress:  [ 357 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [enter]simplify:  Simplifying (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* [exit]simplify:  Simplified to (sqrt (/ (pow n (/ 1 2)) (pow n (/ k 2))))
* * * * [misc]progress:  [ 358 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (- (pow n (/ 1 2))) (- (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (- (pow n (/ 1 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (- (pow n (/ 1 2)))
* [enter]simplify:  Simplifying (- (pow n (/ k 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (- (pow n (/ k 2)))
* [exit]simplify:  Simplified to (- (pow n (/ k 2)))
* * * * [misc]progress:  [ 359 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 360 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2)))) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (sqrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 361 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1) (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2))))
* [enter]simplify:  Simplifying (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (cbrt (pow n (/ 1 2))) (pow n (/ k 2)))
* * * * [misc]progress:  [ 362 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ 1 2))) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2)))) (cbrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (cbrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 363 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2)))) (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (sqrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 364 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ (sqrt (pow n (/ 1 2))) 1) (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ 1 2))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (sqrt (pow n (/ 1 2)))
* [enter]simplify:  Simplifying (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (sqrt (pow n (/ 1 2))) (pow n (/ k 2)))
* * * * [misc]progress:  [ 365 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (cbrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 366 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ 1 (sqrt (pow n (/ k 2)))) (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow n (/ k 2))))
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 367 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ 1 1) (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (pow n (/ k 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (pow n (/ k 2)))
* * * * [misc]progress:  [ 368 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* 1 (/ (pow n (/ 1 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 369 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (pow n (/ 1 2)) (/ 1 (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ 1 (pow n (/ k 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (pow n (/ k 2)))
* [exit]simplify:  Simplified to (/ 1 (pow n (/ k 2)))
* * * * [misc]progress:  [ 370 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ 1 (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ k 2)) (pow n (/ 1 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 371 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2))))) (cbrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (* (cbrt (pow n (/ k 2))) (cbrt (pow n (/ k 2)))))
* * * * [misc]progress:  [ 372 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2)))) (sqrt (pow n (/ k 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (pow n (/ k 2))))
* * * * [misc]progress:  [ 373 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (/ (pow n (/ 1 2)) 1) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* * * * [misc]progress:  [ 374 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (* (cbrt (pow n (/ 1 2))) (cbrt (pow n (/ 1 2)))) (/ (pow n (/ k 2)) (cbrt (pow n (/ 1 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ k 2)) (cbrt (pow n (/ 1 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (cbrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (cbrt (pow n (/ 1 2))))
* * * * [misc]progress:  [ 375 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ (sqrt (pow n (/ 1 2))) (/ (pow n (/ k 2)) (sqrt (pow n (/ 1 2))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ k 2)) (sqrt (pow n (/ 1 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (sqrt (pow n (/ 1 2))))
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (sqrt (pow n (/ 1 2))))
* * * * [misc]progress:  [ 376 / 388 ] simplifiying candidate #<alt-delta (λ (k n) (/ (/ 1 (/ (pow n (/ k 2)) (pow n (/ 1 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ k 2)) (pow n (/ 1 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (pow n (/ 1 2)))
* [exit]simplify:  Simplified to (/ (pow n (/ k 2)) (pow n (/ 1 2)))
* * * * [misc]progress:  [ 377 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (- (+ (pow (* 2 PI) 1/2) (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2)))))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (- (+ (pow (* 2 PI) 1/2) (* 1/8 (* (sqrt PI) (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))))) (* 1/2 (* (sqrt PI) (* (log (* 2 PI)) (* k (sqrt 2))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (216 enodes)
* [exit]simplify:  Simplified to (fma (fma (* (* (* (sqrt PI) k) (* (sqrt 2) k)) (* (log (* 2 PI)) (log (* 2 PI)))) 1/8 (sqrt (* 2 PI))) (/ (/ (pow n (/ 1 2)) (sqrt k)) (pow n (/ k 2))) (* (* (- (sqrt PI)) (* (log (* 2 PI)) (* (sqrt 2) (* k 1/2)))) (/ (/ (pow n (/ 1 2)) (sqrt k)) (pow n (/ k 2)))))
* * * * [misc]progress:  [ 378 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt k)))
* * * * [misc]progress:  [ 379 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* [exit]simplify:  Simplified to (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt k)))
* * * * [misc]progress:  [ 380 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (pow (sqrt 2) 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) k) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))))))))))))))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 3) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (pow (sqrt 2) 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (pow (log (* 2 PI)) 2) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (sqrt 1/2) k) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (pow (sqrt 1/2) 2) (* (log (* 2 PI)) (* (pow k 3) (sqrt 2)))) (sqrt (/ 1 PI))))))))))))))))))
* * * * [misc]progress:  [ 381 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))))))
* * * * [misc]progress:  [ 382 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))))))>
* [enter]simplify:  Simplifying (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))))))
* * * * [misc]progress:  [ 383 / 388 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (* (* n (* (log n) (* k (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 3) (* (pow k 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* k (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log n) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (log (* 2 PI)) (* (log n) (* (sqrt 2) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log n) 2) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (* +nan.0 (* (* n (* (log (* 2 PI)) (* k (sqrt 2)))) (sqrt PI)))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (* n (* (log n) (* k (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 3) (* (pow k 2) (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* k (sqrt 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log (* 2 PI)) 2) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log n) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (log (* 2 PI)) (* (log n) (* (sqrt 2) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (* (pow (log n) 2) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* n (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow n 2) (* (log (* 2 PI)) (* (pow k 2) (sqrt 2)))) (sqrt PI))) (- (* +nan.0 (* (* n (* (log (* 2 PI)) (* k (sqrt 2)))) (sqrt PI))))))))))))))))))))))
* * * * [misc]progress:  [ 384 / 388 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (* (pow n 2) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (pow n 3) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) (pow k 3)))) (- (* +nan.0 (/ (* n (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) k)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (pow n 2) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) (pow k 2)))) (- (+ (* +nan.0 (/ (* (pow n 3) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) (pow k 3)))) (- (* +nan.0 (/ (* n (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (exp (* -1/2 (* (log (/ 1 n)) k))) k))))))))
* * * * [misc]progress:  [ 385 / 388 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (- (log -1) (log (/ -1 n)))))) (* k (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (- (log -1) (log (/ -1 n)))))) (* k (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (* (pow k 2) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k))))))))))
* * * * [misc]progress:  [ 386 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (- (+ (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (sqrt n)) (* 1/2 (* (sqrt n) (* (log n) k)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (sqrt n)) (* 1/2 (* (sqrt n) (* (log n) k)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* * [misc]simplify:  iters left: 3 (430 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (* (log n) k) (* (log n) k)) (* 1/8 (sqrt n)) (fma (- (sqrt n)) (* (* k 1/2) (log n)) (sqrt n))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 387 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (* (sqrt n) (/ 1 (exp (* -1/2 (* (log (/ 1 n)) k))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (* (sqrt n) (/ 1 (exp (* -1/2 (* (log (/ 1 n)) k))))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (/ 1 n) (* -1/2 k)) (/ (sqrt n) (sqrt k))))
* * * * [misc]progress:  [ 388 / 388 ] simplifiying candidate #<alt-event (λ (k n) (/ (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (/ (/ (exp (* 1/2 (- (log -1) (log (/ -1 n))))) (exp (* 1/2 (* (- (log -1) (log (/ -1 n))) k)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* [exit]simplify:  Simplified to (* (/ (pow (exp (log n)) (- 1/2 (* k 1/2))) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 11
* [misc]none:  All alts: 12
* [misc]none:  Fresh alt: (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)))
* [misc]none:  Fresh alt: (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* [misc]none:  Fresh alt: (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))
* [misc]none:  Fresh alt: (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))
* [misc]none:  Fresh alt: (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))
* [misc]none:  Fresh alt: (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))))
* [misc]none:  Fresh alt: (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))
* [misc]none:  Fresh alt: (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* [misc]none:  Non-fresh alt: (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 0
* [misc]none:  (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))): 1
* [misc]none:  (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))): 2
* [misc]none:  (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))): 3
* [misc]none:  (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))))): 4
* [misc]none:  (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))): 5
* [misc]none:  (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 6
* [misc]none:  (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)))): 7
* [misc]none:  (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))))): 8
* [misc]none:  (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))): 9
* [misc]none:  (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))): 10
* [misc]none:  Best fresh alt per point
* [misc]none:  (2.1591070107318723e-73 1.0546090354418652e-284): 3
* [misc]none:  (4.2673255068595107e+307 1.641796573996837e+72): 0
* [misc]none:  (1.6618811033930501e-286 4.2616624006393814e+307): 9
* [misc]none:  (1.700131343853337e-247 5.358070604307343e+123): 1
* [misc]none:  (6.91244459251702e+159 6.2427911338324315e+144): 0
* [misc]none:  (2.7602896294106625e+85 1413016772.140476): 0
* [misc]none:  (4.948991987084853e-143 4.975234314899556e-76): 2
* [misc]none:  (1.6743140997091086e-248 16758704080134802.0): 1
* [misc]none:  (6.124581526441171e-72 2.4472280969194244e-239): 0
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* [misc]none:  All alt indices
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* [misc]none:  (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k))): 1
* [misc]none:  (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))): 2
* [misc]none:  (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))): 3
* [misc]none:  (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2)))))): 4
* [misc]none:  (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))): 5
* [misc]none:  (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))): 6
* [misc]none:  (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)))): 7
* [misc]none:  (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2))))): 8
* [misc]none:  (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))): 9
* [misc]none:  (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))): 10
* [misc]none:  (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))): 11
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* [misc]none:  (3.8938256936682777e+126 1.2257507542606433e+188): 0
* [misc]none:  (5.040718392528157e+252 3.657745424401112e+115): 0
* [misc]none:  (4.285789409051915e-41 1.6550163405824941e-100): 0
* [misc]none:  (0.001153502653320492 9.828142580013114e-63): 1
* [misc]none:  (5.189166453459553e-135 1.4373294578855835e+256): 0
* [misc]none:  (9.568527921939742e-273 2.654414227492494e+20): 11
* [misc]none:  (1.7090726067739176e-227 7.696162327562603e-152): 1
* [misc]none:  (2.3623052767393814e+153 4.4633600804799425e+142): 0
* [misc]none:  (1.2790861077923577e+68 1.0592112097552954e+143): 0
* [misc]none:  (1.6780592368033288e-262 1.5331200777386884e+269): 6
* [misc]none:  (2.973444851318118e-169 1.6828576275377584e-98): 0
* [misc]none:  (3.727663855470157e+254 8.775974517752829e+204): 0
* [misc]none:  (9.424239481611678e-294 1.5096638452158614e-71): 1
* [misc]none:  (6.967234360883543e-112 2.0770495361468835e+203): 0
* [misc]none:  (6.866799226360426e-109 6.417434319517234e+231): 2
* [misc]none:  (1.430295312965348e-149 3.112001531242655e+80): 5
* [misc]none:  (1.4966275592591335e-123 6.384545099874781e-168): 0
* [misc]none:  (4.232269734875141e-205 4.1020469956028986e+24): 7
* [misc]none:  (2.68866513359689e-174 8.96636707501737e-13): 0
* [misc]none:  (2.7230496615379425e-188 7.15832835948139e-179): 0
* [misc]none:  (6.354961149716869e-97 2.8293820765322485e-296): 1
* [misc]none:  (7.175557259725409e-49 4.4800031186106794e-70): 0
* [misc]none:  (8.976998414840432e+184 3.9122094377392414e+59): 0
* [misc]none:  (4.588817619865515e-83 6.908716276621429e+42): 7
* [misc]none:  (1.6570172448601563e-137 2.4048926517811354e+66): 1
* [misc]none:  (1.5982222044177176e+181 8.398043771606399e+47): 0
* [misc]none:  (6.724679859609688e-169 1.4230714989143866e-75): 0
* [misc]none:  (1.3610327499536486e+226 4.84788597345363e+32): 0
* [misc]none:  (1.9963004369674967e-80 1.4604179220567222e+231): 9
* [misc]none:  (1.5216315041338872e-218 1.6707151526371295e-190): 0
* [misc]none:  (8.044445972631143e-28 2.635030752287841e+186): 1
* [misc]none:  (4.12100928340286e-184 9.74865050931635e+298): 1
* [misc]none:  (1.782256728493473e+35 6.657191501816709e+167): 0
* [misc]none:  (2.6679523035634032e-104 8.366391802268445e+167): 1
* [misc]none:  (5.0588074473585105e-110 3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307 66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234 4.416557773834991e-25): 2
* [misc]none:  (1.0684729481870001e-64 6.3073426358942834e+75): 1
* [misc]none:  (0.19659739803111875 7.786539791485611e+181): 1
* [misc]none:  (8.76720870691781e-247 6.160331831501279e+241): 1
* [misc]none:  (3.0044088767799776e-30 4.7140908881238785e+103): 0
* [misc]none:  (4.097601147132013e-78 4.194634882433556e+107): 1
* [misc]none:  (1.7036347403091437e+117 9.645064592867311e+67): 0
* [misc]none:  (8.2625435987749e+74 5.2790261762422465e+19): 0
* [misc]none:  (2.031068672850261e-255 2.4294527094706238e+82): 0
* [misc]none:  (7.274711555473555e+146 1.5565784464325313e+71): 0
* [misc]none:  (1.0953112641111952e+229 3.2587696828142436e+75): 0
* [misc]none:  (8.949756960721031e-195 2.722605535602291e+155): 1
* [misc]none:  (4.178563936936926e-127 2.1657839461347663e+307): 0
* [misc]none:  (7.808994559121766e-111 8.788013174305029e-230): 1
* [misc]none:  (4.896551008070313e-307 1.2607016124581028e+98): 0
* [misc]none:  (6.351701463874224e-34 1.1127979592570306e-297): 1
* [misc]none:  (2.0134175477923286e-117 3.3910436622012204e+183): 2
* [misc]none:  (5.027318832526334e+284 1.0214816826091913e+147): 0
* [misc]none:  (8.06210226572923e-308 1.3704592194822044e+306): 0
* [misc]none:  (2.0724540688985427e-14 7.930730410937821e+23): 10
* [misc]none:  (4.870593988390179e-194 5.0297272719312193e+287): 2
* [misc]none:  (3.506434173585025e+201 1.1750256677114723e+302): 0
* [misc]none:  (1.7531612809893653e+136 8.844853331262414e+38): 0
* [misc]none:  (1.178943808525994e-266 9.178781884958768e+207): 0
* [misc]none:  (3.0568938748675284e-154 2.0291756699515804e-73): 0
* [misc]none:  Picked alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * * * [misc]pick:  Picked  #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* * * [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 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (pow (* (* 2 PI) n) (/ (- 1 k) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) n) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) n)) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) n) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) n)) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 1) (* 0 0)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) n) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) n)) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 1) (* 0 0)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (log n)) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (+ (log (* 2 PI)) (log n))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log (* 2 PI)) (log n))) into (* 1/2 (+ (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) into (exp (* 1/2 (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log (* 2 PI)) (log n)))) into (- (+ (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n)))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))
* [misc]backup-simplify:  Simplify (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) into (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2)))))
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (pow (log (* 2 PI)) 2)) (+ (* 1/4 (* (log (* 2 PI)) (log n))) (* 1/8 (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log (* 2 PI)) (log n)))))) into (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k)))))
* [misc]approximate:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 1) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 1) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
* [misc]approximate:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ -1 n)) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) -1) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) -1) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt k)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) k) (+ (- +nan.0) (* +nan.0 (/ 1 k)))) into (- (+ +nan.0 (- (+ (* +nan.0 k) (- (* +nan.0 (/ 1 k)))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ 1 k))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 k) 2)) (+ (* (- +nan.0) (/ 1 k)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 2))))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- k)))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 2))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (* 2 PI) n) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 1) (* 0 0)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 1) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) -1) into (* -2 PI)
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) in (k n) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) n) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) n)) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 1) (* 0 0)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) n) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) n)) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) n) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* 2 PI) n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) n)) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) n) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]backup-simplify:  Simplify (* +nan.0 (pow (* 2 (* n PI)) 1/2)) into (* +nan.0 (sqrt (* n (* 2 PI))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (* n (* 2 PI)))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* n (* 2 PI))) in n
* [misc]taylor:  Taking taylor expansion of (* n (* 2 PI)) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 0 (* 2 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* 2 PI))) into (* 2 PI)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (* 0 n)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI)))))) (* (- +nan.0) (pow (* 2 (* n PI)) 1/2))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))) in n
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* n PI)) (sqrt 2)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log (* 2 PI)) (log n))) into (* (+ (log (* 2 PI)) (log n)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* 0 (* (+ (log (* 2 PI)) (log n)) (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 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 (+ (* +nan.0 (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 PI))
* [misc]backup-simplify:  Simplify (- (* +nan.0 PI)) into (- (* +nan.0 PI))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 PI) 0) (+ (* 0 0) (* 0 n))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n (* 2 PI))) (pow (log (* 2 (* n PI))) 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 1/8 (* (sqrt (* n (* 2 PI))) (pow (log (* 2 (* n PI))) 2)))) (+ (* (- +nan.0) (* -1/2 (* (sqrt (* n (* 2 PI))) (log (* 2 (* n PI)))))) (* (- +nan.0) (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))))) in n
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI)))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* n PI)) (* (sqrt 2) (log (* 2 (* n PI))))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))))) in n
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* n PI)) (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (log (* 2 (* n PI)))))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 (log (log (* 2 (* n PI))))) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (log (* 2 (* n PI)))) in n
* [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (log (+ (log (* 2 PI)) (log n))) into (log (+ (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 2 (log (+ (log (* 2 PI)) (log n)))) into (* 2 (log (+ (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (+ (log (* 2 PI)) (log n))))) into (pow (+ (log (* 2 PI)) (log n)) 2)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (* n PI)) (sqrt 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* n PI)) (sqrt 2))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* n PI)) (sqrt 2)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
* [misc]taylor:  Taking taylor expansion of (* n PI) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log (* 2 PI)) (log n))) into (* (+ (log (* 2 PI)) (log n)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* 0 (* (+ (log (* 2 PI)) (log n)) (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log (* 2 PI)) (log n)) 2)) into (* (pow (+ (log (* 2 PI)) (log n)) 2) (sqrt 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (+ (log (* 2 PI)) (log n)) 2) (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (* +nan.0 PI) (* (+ (log (* 2 PI)) (log n)) (sqrt 2)))) into (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))) (* 0 0)) into (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (* +nan.0 PI) (sqrt 2))) into (- (* +nan.0 (* PI (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (sqrt 2))))) (* 0 0)) into (- (* +nan.0 (* PI (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* PI (sqrt 2))))) into (- (* +nan.0 (* PI (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))) (- (* +nan.0 (* PI (sqrt 2))))) into (- (+ (* +nan.0 (* PI (sqrt 2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* PI (sqrt 2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))))) into (- (+ (* +nan.0 (* PI (sqrt 2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* PI (sqrt 2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))))) into (- (+ (* +nan.0 (* PI (sqrt 2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (pow PI 2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (pow PI 2))) (* (pow n 2) (/ 1 k))) (+ (* (- (+ (* +nan.0 (* PI (sqrt 2))) (- (+ (* +nan.0 (* PI (* (log (* 2 PI)) (sqrt 2)))) (- (* +nan.0 (* PI (* (log n) (sqrt 2))))))))) (* n 1)) (* (- (* +nan.0 PI)) (* n (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (pow n 2) (pow PI 2)) k)) (- (+ (* +nan.0 (* n (* PI (sqrt 2)))) (- (+ (* +nan.0 (/ (* n PI) k)) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) in (k n) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 n))) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) 1) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 n))) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 n)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* 2 PI) (/ 1 n))))) into (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) into (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of 1/2 in n
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ PI n) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ PI 1) into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- +nan.0) (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of 1/2 in n
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ PI n) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ PI 1) into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (log (* 2 PI)) (log n)) 0) (* 0 (- 1 (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))))) in n
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* 2 (/ PI n))) (- 1 (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of 1/2 in n
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (log (* 2 (/ PI n))) (- 1 (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ PI n) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ PI 1) into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) in (k n) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (+ 1 (/ 1 k)) 2) into (* 1/2 (+ 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 (- n)))) in n
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in n
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) -1) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ 1 (/ 1 k))) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ -1 n)) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n))))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* 2 PI) (/ 1 (- n)))) in k
* [misc]taylor:  Taking taylor expansion of (* (* 2 PI) (/ 1 (- n))) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ -1 n)) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* 2 PI) (/ 1 (- n)))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n
* [misc]taylor:  Taking taylor expansion of 1/2 in n
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
* [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
* [misc]taylor:  Taking taylor expansion of -2 in n
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ PI n) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ PI 1) into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* (- +nan.0) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n
* [misc]taylor:  Taking taylor expansion of 1/2 in n
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
* [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
* [misc]taylor:  Taking taylor expansion of -2 in n
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ PI n) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ PI 1) into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (+ 1 (/ 1 k)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))))) in n
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))))) in n
* [misc]taylor:  Taking taylor expansion of +nan.0 in n
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))))) in n
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n))))) in n
* [misc]taylor:  Taking taylor expansion of 1/2 in n
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 k)) (log (* -2 (/ PI n)))) in n
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
* [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
* [misc]taylor:  Taking taylor expansion of -2 in n
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ PI n) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ PI 1) into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))) into (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 k)) (- (log (* -2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ 1 (/ 1 (/ 1 (- k)))) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 2 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 3 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* * * * [misc]progress:  [ 4 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* PI (* n 2))))
* * * * [misc]progress:  [ 5 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* 1 (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* * * * [misc]progress:  [ 6 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
* [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ 1 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (/ 1 2))
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (/ 1 2))
* [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ k 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (pow (* 2 (* n PI)) (/ k 2))
* [exit]simplify:  Simplified to (pow (* 2 (* n PI)) (/ k 2))
* * * * [misc]progress:  [ 7 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 8 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 9 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (pow (* (* 2 PI) n) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (* n PI) 2)
* [exit]simplify:  Simplified to (* (* n PI) 2)
* * * * [misc]progress:  [ 10 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
* [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (- 1 k))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (- 1 k))
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (- 1 k))
* * * * [misc]progress:  [ 11 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow (* 2 PI) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (pow (* PI 2) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow (* PI 2) (/ (- 1 k) 2))
* [enter]simplify:  Simplifying (pow n (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* * * * [misc]progress:  [ 12 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
* * * * [misc]progress:  [ 13 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
* * * * [misc]progress:  [ 14 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 15 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
* [enter]simplify:  Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 16 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (pow (pow (* PI (* n 2)) (/ (- 1 k) 2)) 3)
* [exit]simplify:  Simplified to (pow (pow (* PI (* n 2)) (/ (- 1 k) 2)) 3)
* * * * [misc]progress:  [ 17 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* [enter]simplify:  Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 18 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 19 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (expm1 (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (expm1 (/ 1 (sqrt k)))
* [exit]simplify:  Simplified to (expm1 (/ 1 (sqrt k)))
* * * * [misc]progress:  [ 20 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (log1p (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (log1p (/ 1 (sqrt k)))
* [exit]simplify:  Simplified to (log1p (/ 1 (sqrt k)))
* * * * [misc]progress:  [ 21 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* * * * [misc]progress:  [ 22 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [exit]simplify:  Simplified to (- 1/2)
* * * * [misc]progress:  [ 23 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* * * * [misc]progress:  [ 24 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* * * * [misc]progress:  [ 25 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (- (log (sqrt k)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt k)))
* [exit]simplify:  Simplified to (- (log (sqrt k)))
* * * * [misc]progress:  [ 26 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt k)))
* [exit]simplify:  Simplified to (- (log (sqrt k)))
* * * * [misc]progress:  [ 27 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (exp (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt k)))
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt k)))
* * * * [misc]progress:  [ 28 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt k)))
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt k)))
* * * * [misc]progress:  [ 29 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 k) (sqrt k))
* [exit]simplify:  Simplified to (/ (/ 1 k) (sqrt k))
* * * * [misc]progress:  [ 30 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
* * * * [misc]progress:  [ 31 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (sqrt k))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt k))
* [exit]simplify:  Simplified to (- (sqrt k))
* * * * [misc]progress:  [ 32 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* * * * [misc]progress:  [ 33 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt k))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* * * * [misc]progress:  [ 34 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (/ (sqrt k) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [exit]simplify:  Simplified to (sqrt k)
* * * * [misc]progress:  [ 35 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 36 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* * * * [misc]progress:  [ 37 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 38 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (expm1 (* (* 2 PI) n))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (expm1 (* 2 (* n PI)))
* [exit]simplify:  Simplified to (expm1 (* 2 (* n PI)))
* * * * [misc]progress:  [ 39 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (log1p (* (* 2 PI) n))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (log1p (* 2 (* n PI)))
* [exit]simplify:  Simplified to (log1p (* 2 (* n PI)))
* * * * [misc]progress:  [ 40 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
* * * * [misc]progress:  [ 41 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (log (* (* 2 PI) n))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (log (* (* n PI) 2))
* [exit]simplify:  Simplified to (log (* (* n PI) 2))
* * * * [misc]progress:  [ 42 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (exp (* (* 2 PI) n))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (pow (exp PI) (* n 2))
* [exit]simplify:  Simplified to (pow (exp PI) (* n 2))
* * * * [misc]progress:  [ 43 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* n PI) 2)) (cbrt (* (* n PI) 2)))
* [exit]simplify:  Simplified to (* (cbrt (* (* n PI) 2)) (cbrt (* (* n PI) 2)))
* [enter]simplify:  Simplifying (cbrt (* (* 2 PI) n))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (cbrt (* 2 (* n PI)))
* [exit]simplify:  Simplified to (cbrt (* 2 (* n PI)))
* * * * [misc]progress:  [ 44 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* [exit]simplify:  Simplified to (pow (* (* n 2) PI) 3)
* [exit]simplify:  Simplified to (pow (* (* n 2) PI) 3)
* * * * [misc]progress:  [ 45 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (sqrt (* (* 2 PI) n))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (* 2 (* n PI)))
* [exit]simplify:  Simplified to (sqrt (* 2 (* n PI)))
* [enter]simplify:  Simplifying (sqrt (* (* 2 PI) n))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (* 2 (* n PI)))
* [exit]simplify:  Simplified to (sqrt (* 2 (* n PI)))
* * * * [misc]progress:  [ 46 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
* * * * [misc]progress:  [ 47 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* PI n)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* n PI)
* [exit]simplify:  Simplified to (* n PI)
* * * * [misc]progress:  [ 48 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
* * * * [misc]progress:  [ 49 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (expm1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 50 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (log1p (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (log1p (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 51 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
* * * * [misc]progress:  [ 52 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (fma (log (* n (* PI 2))) (/ (- 1 k) 2) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (log (* n (* PI 2))) (/ (- 1 k) 2) (- (log (sqrt k))))
* * * * [misc]progress:  [ 53 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (fma (log (* n (* PI 2))) (/ (- 1 k) 2) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (log (* n (* PI 2))) (/ (- 1 k) 2) (- (log (sqrt k))))
* * * * [misc]progress:  [ 54 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (302 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* PI (* n 2))) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* PI (* n 2))) (- (log (sqrt k))))
* * * * [misc]progress:  [ 55 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* n (* PI 2))) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* n (* PI 2))) (- (log (sqrt k))))
* * * * [misc]progress:  [ 56 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* n (* PI 2))) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* n (* PI 2))) (- (log (sqrt k))))
* * * * [misc]progress:  [ 57 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (436 enodes)
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* n (* PI 2))) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* n (* PI 2))) (- (log (sqrt k))))
* * * * [misc]progress:  [ 58 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* [exit]simplify:  Simplified to (fma (log (* PI (* n 2))) (/ (- 1 k) 2) (- (log (sqrt k))))
* [exit]simplify:  Simplified to (fma (log (* PI (* n 2))) (/ (- 1 k) 2) (- (log (sqrt k))))
* * * * [misc]progress:  [ 59 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (pow (exp (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (pow (exp (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 60 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (347 enodes)
* [exit]simplify:  Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* k (sqrt k))))
* [exit]simplify:  Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* k (sqrt k))))
* * * * [misc]progress:  [ 61 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))
* [enter]simplify:  Simplifying (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 62 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (465 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* [exit]simplify:  Simplified to (/ (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* * * * [misc]progress:  [ 63 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* [exit]simplify:  Simplified to (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 64 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
* [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
* * [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 (25 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) (/ 1 2))
* [exit]simplify:  Simplified to (pow (* (* PI n) 2) (/ 1 2))
* [enter]simplify:  Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt k) (pow (* 2 (* PI n)) (/ k 2)))
* [exit]simplify:  Simplified to (* (sqrt k) (pow (* 2 (* PI n)) (/ k 2)))
* * * * [misc]progress:  [ 65 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 66 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 67 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k))
* * * * [misc]progress:  [ 68 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))
* * * * [misc]progress:  [ 69 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* * * * [misc]progress:  [ 70 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 71 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 72 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 73 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 74 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k))
* [exit]simplify:  Simplified to (/ (pow (* (* PI n) 2) (/ 1 2)) (sqrt k))
* * * * [misc]progress:  [ 75 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2))
* [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2))
* * * * [misc]progress:  [ 76 / 88 ] simplifiying candidate #<alt-delta (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
* * * * [misc]progress:  [ 77 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k)))))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (- (+ (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/8 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (* 1/4 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) (* (log n) (pow k 2)))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log n) k))) (* 1/2 (* (exp (* 1/2 (+ (log (* 2 PI)) (log n)))) (* (log (* 2 PI)) k))))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (* (* k k) (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/8))) (+ (* (log (* PI 2)) (log (* PI 2))) (* (log n) (log n)))) (- (fma (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/4)) (* (* (log n) (* k k)) (log (* PI 2))) (* (pow n 1/2) (pow (* PI 2) 1/2))) (* (* (pow (* PI 2) 1/2) (* (pow n 1/2) 1/2)) (fma (log (* PI 2)) k (* (log n) k))))) (sqrt k))
* * * * [misc]progress:  [ 78 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (293 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* PI 2) (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (sqrt k))
* * * * [misc]progress:  [ 79 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (/ (pow (pow (exp 1/2) (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))) (sqrt k))
* * * * [misc]progress:  [ 80 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (- (+ +nan.0 (- (+ (* +nan.0 k) (- (* +nan.0 (/ 1 k))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (- (+ +nan.0 (- (+ (* +nan.0 k) (- (* +nan.0 (/ 1 k))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 81 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 2)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 2)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 82 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 2)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 2)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * * * [misc]progress:  [ 83 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 84 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 85 / 88 ] simplifiying candidate #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))
* * * * [misc]progress:  [ 86 / 88 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (* (pow n 2) (pow PI 2)) k)) (- (+ (* +nan.0 (* n (* PI (sqrt 2)))) (- (+ (* +nan.0 (/ (* n PI) k)) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2)))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (pow n 2) (pow PI 2)) k)) (- (+ (* +nan.0 (* n (* PI (sqrt 2)))) (- (+ (* +nan.0 (/ (* n PI) k)) (- (+ (* +nan.0 (* n (* PI (* (log n) (sqrt 2))))) (- (* +nan.0 (* n (* PI (* (log (* 2 PI)) (sqrt 2))))))))))))))
* * * * [misc]progress:  [ 87 / 88 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))
* * * * [misc]progress:  [ 88 / 88 ] simplifiying candidate #<alt-event (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (k n) (* (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))> #<alt-delta (λ (k n) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)))> #<alt-event (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt-delta (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))> #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (exp (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 2))))))> #<alt-delta (λ (k n) (/ (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt k)))> #<alt-delta (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))> #<alt-delta (λ (k n) (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))))> #<alt-delta (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* n (* PI 2)) (/ k 2)))))> #<alt-delta (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* PI 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))> #<alt-delta (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))> #<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 k +nan.0)) , with alts (#<alt-delta (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>)
* [enter]simplify:  Simplifying (pow n (/ 1 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [enter]simplify:  Simplifying (pow n (/ k 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (pow n (/ k 2))
* [exit]simplify:  Simplified to (pow n (/ k 2))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6483 additional inputs, on iter 1 have 1517 / 8000
* * * * [misc]points:  Computing exacts on every 405 of 6483 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 202 of 6483 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 101 of 6483 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 50 of 6483 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 25 of 6483 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 12 of 6483 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 6 of 6483 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 6483 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 6483 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5268 additional inputs, on iter 2 have 2732 / 8000
* * * * [misc]points:  Computing exacts on every 329 of 5268 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 164 of 5268 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 82 of 5268 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 41 of 5268 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 20 of 5268 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 10 of 5268 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 5 of 5268 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 5268 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 5268 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4249 additional inputs, on iter 3 have 3751 / 8000
* * * * [misc]points:  Computing exacts on every 265 of 4249 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 132 of 4249 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 66 of 4249 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 33 of 4249 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 16 of 4249 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 4249 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 4249 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 4249 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 4249 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3439 additional inputs, on iter 4 have 4561 / 8000
* * * * [misc]points:  Computing exacts on every 214 of 3439 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 107 of 3439 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 53 of 3439 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 26 of 3439 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 13 of 3439 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 6 of 3439 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 3439 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 3439 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 2817 additional inputs, on iter 5 have 5183 / 8000
* * * * [misc]points:  Computing exacts on every 176 of 2817 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 88 of 2817 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 44 of 2817 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 22 of 2817 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 11 of 2817 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 5 of 2817 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 2817 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2817 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 2301 additional inputs, on iter 6 have 5699 / 8000
* * * * [misc]points:  Computing exacts on every 143 of 2301 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 71 of 2301 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 35 of 2301 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 17 of 2301 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 2301 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 2301 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 2301 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2301 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1852 additional inputs, on iter 7 have 6148 / 8000
* * * * [misc]points:  Computing exacts on every 115 of 1852 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 57 of 1852 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 28 of 1852 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 14 of 1852 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 1852 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 1852 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1852 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1481 additional inputs, on iter 8 have 6519 / 8000
* * * * [misc]points:  Computing exacts on every 92 of 1481 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 46 of 1481 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 23 of 1481 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 11 of 1481 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 5 of 1481 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 1481 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1481 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1224 additional inputs, on iter 9 have 6776 / 8000
* * * * [misc]points:  Computing exacts on every 76 of 1224 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 38 of 1224 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 19 of 1224 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 9 of 1224 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 1224 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 1224 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1224 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1002 additional inputs, on iter 10 have 6998 / 8000
* * * * [misc]points:  Computing exacts on every 62 of 1002 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 1002 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 1002 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 1002 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 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1002 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 833 additional inputs, on iter 11 have 7167 / 8000
* * * * [misc]points:  Computing exacts on every 52 of 833 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 26 of 833 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 13 of 833 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 6 of 833 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 833 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 833 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 675 additional inputs, on iter 12 have 7325 / 8000
* * * * [misc]points:  Computing exacts on every 42 of 675 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 21 of 675 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 10 of 675 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 5 of 675 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 675 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 675 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 559 additional inputs, on iter 13 have 7441 / 8000
* * * * [misc]points:  Computing exacts on every 34 of 559 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 17 of 559 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 559 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 559 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 559 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 559 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 452 additional inputs, on iter 14 have 7548 / 8000
* * * * [misc]points:  Computing exacts on every 28 of 452 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 14 of 452 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 452 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 452 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 452 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 376 additional inputs, on iter 15 have 7624 / 8000
* * * * [misc]points:  Computing exacts on every 23 of 376 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 11 of 376 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 5 of 376 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 376 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 376 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 308 additional inputs, on iter 16 have 7692 / 8000
* * * * [misc]points:  Computing exacts on every 19 of 308 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 9 of 308 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 308 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 308 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 308 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 256 additional inputs, on iter 17 have 7744 / 8000
* * * * [misc]points:  Computing exacts on every 16 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 8 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 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 203 additional inputs, on iter 18 have 7797 / 8000
* * * * [misc]points:  Computing exacts on every 12 of 203 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 6 of 203 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 203 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 203 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 167 additional inputs, on iter 19 have 7833 / 8000
* * * * [misc]points:  Computing exacts on every 10 of 167 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 5 of 167 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 167 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 167 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 139 additional inputs, on iter 20 have 7861 / 8000
* * * * [misc]points:  Computing exacts on every 8 of 139 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 139 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 139 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 139 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 106 additional inputs, on iter 21 have 7894 / 8000
* * * * [misc]points:  Computing exacts on every 6 of 106 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 106 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 106 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 81 additional inputs, on iter 22 have 7919 / 8000
* * * * [misc]points:  Computing exacts on every 5 of 81 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 81 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 81 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 64 additional inputs, on iter 23 have 7936 / 8000
* * * * [misc]points:  Computing exacts on every 4 of 64 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 64 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 64 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 54 additional inputs, on iter 24 have 7946 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 54 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 54 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 43 additional inputs, on iter 25 have 7957 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 43 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 43 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 33 additional inputs, on iter 26 have 7967 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 33 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 33 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 23 additional inputs, on iter 27 have 7977 / 8000
* * * * [misc]points:  Computing exacts for 23 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 23 additional inputs, on iter 28 have 7977 / 8000
* * * * [misc]points:  Computing exacts for 23 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 20 additional inputs, on iter 29 have 7980 / 8000
* * * * [misc]points:  Computing exacts for 20 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 30 have 7982 / 8000
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 31 have 7987 / 8000
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 11 additional inputs, on iter 32 have 7989 / 8000
* * * * [misc]points:  Computing exacts for 11 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 9 additional inputs, on iter 33 have 7991 / 8000
* * * * [misc]points:  Computing exacts for 9 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 34 have 7995 / 8000
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 35 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 36 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 37 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 38 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 39 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 40 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 41 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 42 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 43 have 7999 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs