1538655416.062 * [misc]progress:  [Phase 1 of 3] Setting up.
1538655416.062 * * * [misc]progress:  [1/2] Preparing points
1538655416.062 * * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
1538655416.065 * * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
1538655416.070 * * * * [misc]points:  Setting MPFR precision to 64
1538655416.072 * * * * [misc]points:  Setting MPFR precision to 320
1538655416.073 * * * * [misc]points:  Setting MPFR precision to 576
1538655416.075 * * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
1538655416.079 * * * * [misc]points:  Setting MPFR precision to 320
1538655416.082 * * * * [misc]points:  Setting MPFR precision to 576
1538655416.085 * * * * [misc]points:  Setting MPFR precision to 832
1538655416.088 * * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
1538655416.090 * * * * [misc]points:  Setting MPFR precision to 576
1538655416.093 * * * * [misc]points:  Setting MPFR precision to 832
1538655416.095 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.098 * * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
1538655416.100 * * * * [misc]points:  Setting MPFR precision to 832
1538655416.105 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.109 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.114 * * * * [misc]points:  Computing exacts for 256 points
1538655416.118 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.146 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.174 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.175 * * * * [misc]points:  Sampling 215 additional inputs, on iter 1 have 41 / 256
1538655416.177 * * * * [misc]points:  Computing exacts on every 13 of 215 points to ramp up precision
1538655416.181 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.183 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.185 * * * * [misc]points:  Computing exacts on every 6 of 215 points to ramp up precision
1538655416.189 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.194 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.197 * * * * [misc]points:  Computing exacts on every 3 of 215 points to ramp up precision
1538655416.202 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.207 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.213 * * * * [misc]points:  Computing exacts for 215 points
1538655416.217 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.237 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.299 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.299 * * * * [misc]points:  Sampling 178 additional inputs, on iter 2 have 78 / 256
1538655416.300 * * * * [misc]points:  Computing exacts on every 11 of 178 points to ramp up precision
1538655416.302 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.303 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.304 * * * * [misc]points:  Computing exacts on every 5 of 178 points to ramp up precision
1538655416.307 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.308 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.310 * * * * [misc]points:  Computing exacts on every 2 of 178 points to ramp up precision
1538655416.312 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.316 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.320 * * * * [misc]points:  Computing exacts for 178 points
1538655416.322 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.335 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.357 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.357 * * * * [misc]points:  Sampling 136 additional inputs, on iter 3 have 120 / 256
1538655416.358 * * * * [misc]points:  Computing exacts on every 8 of 136 points to ramp up precision
1538655416.362 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.364 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.366 * * * * [misc]points:  Computing exacts on every 4 of 136 points to ramp up precision
1538655416.370 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.373 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.376 * * * * [misc]points:  Computing exacts on every 2 of 136 points to ramp up precision
1538655416.380 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.385 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.391 * * * * [misc]points:  Computing exacts for 136 points
1538655416.395 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.411 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.427 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.427 * * * * [misc]points:  Sampling 106 additional inputs, on iter 4 have 150 / 256
1538655416.428 * * * * [misc]points:  Computing exacts on every 6 of 106 points to ramp up precision
1538655416.432 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.434 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.436 * * * * [misc]points:  Computing exacts on every 3 of 106 points to ramp up precision
1538655416.440 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.443 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.446 * * * * [misc]points:  Computing exacts for 106 points
1538655416.450 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.850 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.862 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.862 * * * * [misc]points:  Sampling 89 additional inputs, on iter 5 have 167 / 256
1538655416.863 * * * * [misc]points:  Computing exacts on every 5 of 89 points to ramp up precision
1538655416.867 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.869 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.870 * * * * [misc]points:  Computing exacts on every 2 of 89 points to ramp up precision
1538655416.874 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.878 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.882 * * * * [misc]points:  Computing exacts for 89 points
1538655416.887 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.897 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.908 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.908 * * * * [misc]points:  Sampling 75 additional inputs, on iter 6 have 181 / 256
1538655416.909 * * * * [misc]points:  Computing exacts on every 4 of 75 points to ramp up precision
1538655416.913 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.915 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.916 * * * * [misc]points:  Computing exacts on every 2 of 75 points to ramp up precision
1538655416.920 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.924 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.927 * * * * [misc]points:  Computing exacts for 75 points
1538655416.931 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.940 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.949 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.949 * * * * [misc]points:  Sampling 60 additional inputs, on iter 7 have 196 / 256
1538655416.950 * * * * [misc]points:  Computing exacts on every 3 of 60 points to ramp up precision
1538655416.955 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.957 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.958 * * * * [misc]points:  Computing exacts for 60 points
1538655416.962 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.969 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.973 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.973 * * * * [misc]points:  Sampling 51 additional inputs, on iter 8 have 205 / 256
1538655416.974 * * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
1538655416.976 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.977 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.978 * * * * [misc]points:  Computing exacts for 51 points
1538655416.980 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.983 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.987 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.987 * * * * [misc]points:  Sampling 41 additional inputs, on iter 9 have 215 / 256
1538655416.988 * * * * [misc]points:  Computing exacts on every 2 of 41 points to ramp up precision
1538655416.990 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.991 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.992 * * * * [misc]points:  Computing exacts for 41 points
1538655416.994 * * * * [misc]points:  Setting MPFR precision to 1088
1538655416.997 * * * * [misc]points:  Setting MPFR precision to 1344
1538655416.999 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655416.999 * * * * [misc]points:  Sampling 30 additional inputs, on iter 10 have 226 / 256
1538655416.999 * * * * [misc]points:  Computing exacts for 30 points
1538655417.002 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.003 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.005 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.005 * * * * [misc]points:  Sampling 28 additional inputs, on iter 11 have 228 / 256
1538655417.006 * * * * [misc]points:  Computing exacts for 28 points
1538655417.008 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.026 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.028 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.028 * * * * [misc]points:  Sampling 21 additional inputs, on iter 12 have 235 / 256
1538655417.028 * * * * [misc]points:  Computing exacts for 21 points
1538655417.030 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.032 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.033 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.033 * * * * [misc]points:  Sampling 18 additional inputs, on iter 13 have 238 / 256
1538655417.033 * * * * [misc]points:  Computing exacts for 18 points
1538655417.037 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.038 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.039 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.039 * * * * [misc]points:  Sampling 13 additional inputs, on iter 14 have 243 / 256
1538655417.039 * * * * [misc]points:  Computing exacts for 13 points
1538655417.041 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.042 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.043 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.043 * * * * [misc]points:  Sampling 10 additional inputs, on iter 15 have 246 / 256
1538655417.044 * * * * [misc]points:  Computing exacts for 10 points
1538655417.046 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.047 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.047 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.047 * * * * [misc]points:  Sampling 9 additional inputs, on iter 16 have 247 / 256
1538655417.048 * * * * [misc]points:  Computing exacts for 9 points
1538655417.050 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.050 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.051 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.051 * * * * [misc]points:  Sampling 7 additional inputs, on iter 17 have 249 / 256
1538655417.051 * * * * [misc]points:  Computing exacts for 7 points
1538655417.053 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.054 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.054 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.054 * * * * [misc]points:  Sampling 5 additional inputs, on iter 18 have 251 / 256
1538655417.054 * * * * [misc]points:  Computing exacts for 5 points
1538655417.056 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.057 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.057 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.057 * * * * [misc]points:  Sampling 4 additional inputs, on iter 19 have 252 / 256
1538655417.057 * * * * [misc]points:  Computing exacts for 4 points
1538655417.059 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.060 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.060 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.060 * * * * [misc]points:  Sampling 4 additional inputs, on iter 20 have 252 / 256
1538655417.060 * * * * [misc]points:  Computing exacts for 4 points
1538655417.062 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.062 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.063 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.063 * * * * [misc]points:  Sampling 4 additional inputs, on iter 21 have 252 / 256
1538655417.063 * * * * [misc]points:  Computing exacts for 4 points
1538655417.065 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.065 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.066 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.066 * * * * [misc]points:  Sampling 4 additional inputs, on iter 22 have 252 / 256
1538655417.066 * * * * [misc]points:  Computing exacts for 4 points
1538655417.068 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.069 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.069 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.069 * * * * [misc]points:  Sampling 4 additional inputs, on iter 23 have 253 / 256
1538655417.070 * * * * [misc]points:  Computing exacts for 4 points
1538655417.074 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.074 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.075 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.075 * * * * [misc]points:  Sampling 4 additional inputs, on iter 24 have 253 / 256
1538655417.075 * * * * [misc]points:  Computing exacts for 4 points
1538655417.079 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.079 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.080 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.080 * * * * [misc]points:  Sampling 4 additional inputs, on iter 25 have 254 / 256
1538655417.080 * * * * [misc]points:  Computing exacts for 4 points
1538655417.082 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.082 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.082 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.082 * * * * [misc]points:  Sampling 4 additional inputs, on iter 26 have 254 / 256
1538655417.083 * * * * [misc]points:  Computing exacts for 4 points
1538655417.085 * * * * [misc]points:  Setting MPFR precision to 1088
1538655417.085 * * * * [misc]points:  Setting MPFR precision to 1344
1538655417.086 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655417.086 * * * * [exit]points:  Sampled 256 points with exact outputs
1538655417.086 * * * [misc]progress:  [2/2] Setting up program.
1538655417.091 * [misc]progress:  [Phase 2 of 3] Improving.
1538655417.092 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538655417.092 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655417.097 * * [misc]simplify:  iters left: 5 (28 enodes)
1538655417.102 * * [misc]simplify:  iters left: 4 (44 enodes)
1538655417.130 * * [misc]simplify:  iters left: 3 (54 enodes)
1538655417.144 * * [misc]simplify:  iters left: 2 (57 enodes)
1538655417.163 * * [misc]simplify:  iters left: 1 (65 enodes)
1538655417.186 * [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1538655417.210 * * [misc]progress:  iteration 1 / 4
1538655417.210 * * * [misc]progress:  picking best candidate
1538655417.233 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1538655417.233 * * * [misc]progress:  localizing error
1538655417.284 * * * [misc]progress:  generating rewritten candidates
1538655417.284 * * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
1538655417.308 * * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
1538655417.323 * * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
1538655417.396 * * * [misc]progress:  generating series expansions
1538655417.396 * * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
1538655417.396 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1538655417.396 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1538655417.396 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538655417.396 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538655417.396 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538655417.396 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538655417.396 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.396 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.396 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655417.396 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.396 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.396 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.396 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.396 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.396 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538655417.397 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538655417.397 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.397 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.397 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655417.397 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.397 * [misc]backup-simplify:  Simplify n into n
1538655417.397 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.397 * [misc]backup-simplify:  Simplify PI into PI
1538655417.397 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655417.397 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538655417.397 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538655417.397 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655417.398 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.398 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.398 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538655417.398 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538655417.398 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538655417.398 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538655417.398 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538655417.398 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538655417.398 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.398 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.398 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655417.399 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.399 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.399 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.399 * [misc]backup-simplify:  Simplify k into k
1538655417.399 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655417.399 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655417.399 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.399 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.399 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655417.399 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.399 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.399 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.399 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.399 * [misc]backup-simplify:  Simplify PI into PI
1538655417.399 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655417.399 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655417.400 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655417.401 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655417.402 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.402 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655417.402 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538655417.402 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538655417.403 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.403 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1538655417.404 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1538655417.404 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538655417.404 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538655417.404 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538655417.404 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538655417.404 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.404 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.404 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655417.404 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.404 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.404 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.404 * [misc]backup-simplify:  Simplify k into k
1538655417.404 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655417.404 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655417.405 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.405 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.405 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655417.405 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.405 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.405 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.405 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.405 * [misc]backup-simplify:  Simplify PI into PI
1538655417.405 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655417.405 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655417.406 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655417.407 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655417.407 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.407 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655417.407 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538655417.407 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538655417.408 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.409 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1538655417.410 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1538655417.410 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.410 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.410 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.410 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.410 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.410 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.410 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.410 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.410 * [misc]backup-simplify:  Simplify n into n
1538655417.410 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655417.410 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655417.410 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.410 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.410 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.411 * [misc]backup-simplify:  Simplify PI into PI
1538655417.411 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.411 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.412 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655417.412 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.412 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.413 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.413 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538655417.414 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538655417.415 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538655417.416 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655417.417 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655417.420 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655417.421 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538655417.421 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.421 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.422 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.422 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538655417.424 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655417.424 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.424 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.424 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.425 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538655417.426 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655417.429 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655417.429 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.430 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538655417.430 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538655417.430 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538655417.431 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538655417.433 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1538655417.435 * [misc]backup-simplify:  Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1538655417.436 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.438 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655417.444 * [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
1538655417.444 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538655417.444 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.444 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.445 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.446 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538655417.448 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655417.448 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.448 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.448 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.448 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.450 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538655417.451 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.457 * [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
1538655417.457 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.457 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538655417.457 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.457 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.458 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538655417.461 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1538655417.465 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1538655417.473 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1538655417.473 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1538655417.473 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1538655417.474 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.474 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.474 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.474 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.474 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.474 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.474 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.474 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.474 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.474 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.474 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655417.474 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.474 * [misc]backup-simplify:  Simplify PI into PI
1538655417.474 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.474 * [misc]backup-simplify:  Simplify n into n
1538655417.474 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655417.474 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538655417.475 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538655417.475 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.475 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538655417.475 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538655417.475 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538655417.476 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1538655417.476 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.476 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.476 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.476 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.476 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.476 * [misc]backup-simplify:  Simplify k into k
1538655417.476 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.476 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.476 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.476 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.476 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.476 * [misc]backup-simplify:  Simplify PI into PI
1538655417.476 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.476 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.476 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.477 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.477 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.477 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.477 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.477 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538655417.478 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538655417.478 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.479 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
1538655417.480 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1538655417.480 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.480 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.480 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.480 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.480 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.480 * [misc]backup-simplify:  Simplify k into k
1538655417.480 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.480 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.480 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.480 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.480 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.480 * [misc]backup-simplify:  Simplify PI into PI
1538655417.480 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.480 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.480 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.480 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.481 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.481 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.481 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.481 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538655417.482 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538655417.482 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.483 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
1538655417.483 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1538655417.484 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.484 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.484 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.484 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.484 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.484 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.484 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.484 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.484 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655417.484 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.484 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.484 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.484 * [misc]backup-simplify:  Simplify PI into PI
1538655417.485 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.485 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.485 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655417.485 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.485 * [misc]backup-simplify:  Simplify n into n
1538655417.485 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655417.485 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.486 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538655417.486 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538655417.486 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655417.486 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655417.487 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538655417.487 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1538655417.492 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1538655417.493 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655417.494 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655417.497 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655417.497 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538655417.497 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538655417.497 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.497 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.498 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.499 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538655417.500 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655417.501 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.501 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.501 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.501 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.502 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.503 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.508 * [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
1538655417.508 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.509 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538655417.509 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.509 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.510 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.510 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538655417.513 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655417.513 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.513 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.513 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.513 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.513 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.515 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.516 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.523 * [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
1538655417.523 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.523 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538655417.523 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.523 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.524 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.524 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538655417.527 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 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
1538655417.527 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.527 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.527 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.527 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1538655417.527 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1538655417.527 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1538655417.527 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.528 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.528 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.528 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.528 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.528 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.528 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.528 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.528 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655417.528 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.528 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655417.528 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.528 * [misc]backup-simplify:  Simplify PI into PI
1538655417.528 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.528 * [misc]backup-simplify:  Simplify n into n
1538655417.528 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655417.528 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655417.528 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538655417.528 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.528 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.529 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538655417.529 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
1538655417.529 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.529 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.529 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.529 * [misc]backup-simplify:  Simplify k into k
1538655417.529 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.529 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.529 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.529 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655417.529 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.529 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.529 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.529 * [misc]backup-simplify:  Simplify PI into PI
1538655417.529 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.529 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.529 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.529 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.530 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.530 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655417.530 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.530 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538655417.531 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.531 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538655417.531 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1538655417.531 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.532 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.532 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.532 * [misc]backup-simplify:  Simplify k into k
1538655417.532 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.532 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.532 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.532 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655417.532 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.532 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.532 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.532 * [misc]backup-simplify:  Simplify PI into PI
1538655417.532 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.532 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.532 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.532 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.532 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.533 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655417.533 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.533 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538655417.533 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.534 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538655417.534 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1538655417.534 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538655417.534 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538655417.534 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538655417.534 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.534 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.534 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.534 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.534 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.534 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.534 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.534 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.534 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.534 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.534 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538655417.535 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538655417.535 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538655417.535 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655417.535 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.535 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.535 * [misc]backup-simplify:  Simplify PI into PI
1538655417.535 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.535 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655417.535 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655417.535 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.535 * [misc]backup-simplify:  Simplify n into n
1538655417.535 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655417.535 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.535 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.535 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655417.536 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538655417.536 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538655417.537 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1538655417.537 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1538655417.538 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655417.538 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655417.541 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538655417.541 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538655417.541 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538655417.542 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.543 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.544 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538655417.545 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655417.545 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.546 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.546 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.546 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.547 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.548 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.554 * [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
1538655417.554 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.555 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538655417.555 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.556 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.557 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538655417.559 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655417.559 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.559 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.559 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.559 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.560 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.561 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.563 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.573 * [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
1538655417.573 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.573 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538655417.573 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.574 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.575 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1538655417.579 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538655417.579 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.579 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.579 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.580 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1538655417.580 * * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
1538655417.581 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538655417.581 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538655417.581 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655417.581 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.581 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.581 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655417.581 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.581 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.581 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.581 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.581 * [misc]backup-simplify:  Simplify PI into PI
1538655417.581 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655417.581 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.581 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.581 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655417.581 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.581 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.581 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.581 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.581 * [misc]backup-simplify:  Simplify PI into PI
1538655417.582 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655417.582 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655417.582 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.583 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655417.583 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655417.584 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.585 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655417.586 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655417.586 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.588 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.589 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655417.589 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.592 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655417.594 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655417.594 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.597 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655417.600 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538655417.600 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.604 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655417.607 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538655417.607 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.611 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538655417.616 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538655417.616 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.616 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538655417.616 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538655417.617 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538655417.617 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655417.617 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.617 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.617 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.617 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.617 * [misc]backup-simplify:  Simplify PI into PI
1538655417.617 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.617 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.617 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.617 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.617 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655417.617 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.617 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.617 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.617 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.617 * [misc]backup-simplify:  Simplify PI into PI
1538655417.617 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.617 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.617 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.618 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.618 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.618 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.619 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655417.620 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655417.620 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.622 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.623 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.623 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.624 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.628 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.628 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.630 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.632 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655417.632 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.635 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.637 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655417.637 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.640 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.643 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655417.644 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.644 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538655417.644 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538655417.644 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538655417.644 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655417.644 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655417.644 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.644 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.644 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.644 * [misc]backup-simplify:  Simplify PI into PI
1538655417.644 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.644 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.644 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.645 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.645 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655417.645 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655417.645 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.645 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.645 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.645 * [misc]backup-simplify:  Simplify PI into PI
1538655417.645 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.645 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.645 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.645 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.646 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.646 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.647 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655417.648 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655417.648 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.649 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.650 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.650 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.652 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.654 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.654 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.656 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.658 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655417.658 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.660 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.663 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655417.663 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.666 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.669 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655417.669 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.670 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538655417.670 * * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
1538655417.671 * [misc]backup-simplify:  Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1538655417.671 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1538655417.671 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538655417.671 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538655417.671 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.671 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.671 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.671 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.671 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.671 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655417.672 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655417.672 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.672 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.672 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.672 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.672 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.672 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.672 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.672 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.672 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.672 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655417.672 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.672 * [misc]backup-simplify:  Simplify n into n
1538655417.672 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.672 * [misc]backup-simplify:  Simplify PI into PI
1538655417.673 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655417.673 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538655417.673 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538655417.673 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655417.673 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.673 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.673 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538655417.674 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538655417.674 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.674 * [misc]backup-simplify:  Simplify k into k
1538655417.674 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.674 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538655417.674 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538655417.674 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538655417.674 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.674 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.674 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655417.674 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.675 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.675 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.675 * [misc]backup-simplify:  Simplify k into k
1538655417.675 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655417.675 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655417.675 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.675 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.675 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655417.675 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.675 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.675 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.675 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.675 * [misc]backup-simplify:  Simplify PI into PI
1538655417.675 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655417.675 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655417.676 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655417.677 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655417.678 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.678 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655417.678 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538655417.678 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538655417.679 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.679 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1538655417.680 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1538655417.680 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538655417.680 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538655417.680 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.680 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.680 * [misc]backup-simplify:  Simplify k into k
1538655417.680 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.680 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538655417.680 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538655417.681 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538655417.681 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.681 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.681 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.681 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.681 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.681 * [misc]backup-simplify:  Simplify k into k
1538655417.681 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.681 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.681 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655417.681 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.681 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.681 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.681 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.681 * [misc]backup-simplify:  Simplify PI into PI
1538655417.682 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655417.682 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655417.682 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655417.683 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655417.684 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.684 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655417.684 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538655417.684 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538655417.685 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.685 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1538655417.686 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1538655417.687 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
1538655417.687 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1538655417.687 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538655417.687 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538655417.687 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538655417.687 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.687 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.687 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655417.687 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.687 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.687 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.687 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.687 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.687 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538655417.688 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655417.688 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.688 * [misc]backup-simplify:  Simplify n into n
1538655417.688 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655417.688 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655417.688 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655417.688 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.688 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.688 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.688 * [misc]backup-simplify:  Simplify PI into PI
1538655417.688 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.689 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.689 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655417.689 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.689 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.690 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.690 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538655417.691 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538655417.691 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538655417.691 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.691 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.691 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.691 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.691 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.691 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655417.692 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655417.693 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1538655417.693 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.694 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655417.695 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655417.698 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655417.698 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538655417.699 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.699 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.700 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.700 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538655417.702 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655417.703 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1538655417.703 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.703 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.704 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538655417.705 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655417.708 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655417.708 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.708 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538655417.708 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538655417.708 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538655417.709 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538655417.711 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1538655417.714 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1538655417.715 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1538655417.717 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.719 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655417.725 * [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
1538655417.725 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538655417.725 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.725 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.726 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.727 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538655417.730 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655417.730 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.731 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1538655417.732 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1538655417.732 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.732 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.732 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.732 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538655417.733 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655417.735 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538655417.736 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.742 * [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
1538655417.743 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.743 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538655417.743 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.743 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.744 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538655417.748 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1538655417.755 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1538655417.758 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1538655417.761 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655417.763 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655417.773 * [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
1538655417.774 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1538655417.774 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.774 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.775 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655417.776 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1538655417.782 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538655417.783 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.783 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1538655417.784 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
1538655417.784 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.784 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.784 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.785 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.785 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.786 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538655417.790 * [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
1538655417.791 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.801 * [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
1538655417.801 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.802 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538655417.802 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.802 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.803 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1538655417.810 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1538655417.829 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1538655417.837 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1538655417.849 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1538655417.849 * [misc]backup-simplify:  Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1538655417.849 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1538655417.849 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538655417.849 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538655417.849 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.849 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.849 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.850 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655417.850 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655417.850 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.850 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.850 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.850 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.850 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.850 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.850 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.850 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.850 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.850 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.850 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655417.850 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.850 * [misc]backup-simplify:  Simplify PI into PI
1538655417.850 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.850 * [misc]backup-simplify:  Simplify n into n
1538655417.850 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655417.851 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538655417.851 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538655417.851 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.851 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538655417.851 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538655417.851 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538655417.851 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1538655417.851 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538655417.851 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538655417.851 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.851 * [misc]backup-simplify:  Simplify k into k
1538655417.851 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538655417.851 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538655417.851 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538655417.851 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538655417.851 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538655417.852 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538655417.852 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.852 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.852 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.852 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.852 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.852 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.852 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.852 * [misc]backup-simplify:  Simplify k into k
1538655417.852 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.852 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655417.852 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655417.852 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.852 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.852 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.852 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.852 * [misc]backup-simplify:  Simplify PI into PI
1538655417.852 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.852 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.852 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.852 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.852 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.853 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.853 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.853 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538655417.853 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538655417.853 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.854 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
1538655417.854 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1538655417.854 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538655417.854 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538655417.854 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.854 * [misc]backup-simplify:  Simplify k into k
1538655417.854 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538655417.854 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538655417.854 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538655417.854 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.855 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.855 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.855 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.855 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.855 * [misc]backup-simplify:  Simplify k into k
1538655417.855 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.855 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655417.855 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.855 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.855 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.855 * [misc]backup-simplify:  Simplify PI into PI
1538655417.855 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.855 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.855 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.855 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.855 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.856 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.856 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.856 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538655417.856 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538655417.856 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.857 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
1538655417.857 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1538655417.858 * [misc]backup-simplify:  Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
1538655417.858 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.858 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.858 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.858 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.858 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.858 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.858 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.858 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.858 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655417.858 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655417.858 * [misc]backup-simplify:  Simplify 2 into 2
1538655417.858 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.858 * [misc]backup-simplify:  Simplify PI into PI
1538655417.858 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655417.859 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655417.859 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655417.859 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.859 * [misc]backup-simplify:  Simplify n into n
1538655417.859 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655417.859 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.859 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538655417.859 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538655417.859 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655417.860 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655417.860 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538655417.861 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1538655417.861 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538655417.861 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.861 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.861 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.861 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655417.862 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655417.862 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1538655417.863 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.864 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655417.864 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655417.868 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655417.868 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538655417.869 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538655417.869 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.869 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.870 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.871 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538655417.873 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655417.874 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1538655417.874 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.874 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.874 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.875 * [misc]backup-simplify:  Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
1538655417.876 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
1538655417.878 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.879 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.885 * [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
1538655417.885 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.886 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538655417.886 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.886 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.887 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.888 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538655417.889 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655417.890 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1538655417.890 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1538655417.890 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.890 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.890 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.891 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.891 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655417.892 * [misc]backup-simplify:  Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
1538655417.892 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
1538655417.894 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.895 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655417.902 * [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
1538655417.902 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.903 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538655417.903 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655417.903 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.903 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655417.904 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538655417.906 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 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
1538655417.907 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1538655417.907 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1538655417.907 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.907 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.907 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.907 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.907 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.908 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538655417.909 * [misc]backup-simplify:  Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
1538655417.909 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
1538655417.912 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
1538655417.912 * [misc]backup-simplify:  Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
1538655417.912 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1538655417.912 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1538655417.912 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538655417.912 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538655417.912 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538655417.912 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538655417.912 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.912 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.912 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.912 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.912 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.912 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.912 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.913 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.913 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.913 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.913 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538655417.913 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655417.913 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655417.913 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.913 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655417.913 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.913 * [misc]backup-simplify:  Simplify PI into PI
1538655417.913 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.913 * [misc]backup-simplify:  Simplify n into n
1538655417.913 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655417.913 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655417.913 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538655417.914 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.914 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.914 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538655417.914 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
1538655417.914 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655417.914 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655417.914 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655417.914 * [misc]backup-simplify:  Simplify -1 into -1
1538655417.914 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.914 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.915 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.915 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655417.915 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655417.916 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655417.916 * [misc]backup-simplify:  Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1538655417.916 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.916 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.916 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.916 * [misc]backup-simplify:  Simplify k into k
1538655417.916 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.916 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.916 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.916 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655417.916 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655417.917 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.917 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.917 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.917 * [misc]backup-simplify:  Simplify PI into PI
1538655417.917 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.917 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.917 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.917 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.917 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.918 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655417.918 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.918 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538655417.919 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.920 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538655417.920 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1538655417.920 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655417.921 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655417.921 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655417.921 * [misc]backup-simplify:  Simplify -1 into -1
1538655417.921 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.921 * [misc]backup-simplify:  Simplify k into k
1538655417.921 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655417.921 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655417.921 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655417.921 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655417.922 * [misc]backup-simplify:  Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
1538655417.922 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.922 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.922 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.922 * [misc]backup-simplify:  Simplify k into k
1538655417.922 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655417.922 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655417.922 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.922 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655417.922 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655417.923 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.923 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655417.923 * [misc]taylor:  Taking taylor expansion of PI in n
1538655417.923 * [misc]backup-simplify:  Simplify PI into PI
1538655417.923 * [misc]taylor:  Taking taylor expansion of n in n
1538655417.923 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.923 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.923 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655417.923 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.924 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655417.924 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538655417.924 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538655417.925 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.926 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538655417.926 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1538655417.926 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655417.926 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655417.926 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655417.926 * [misc]backup-simplify:  Simplify -1 into -1
1538655417.927 * [misc]taylor:  Taking taylor expansion of k in n
1538655417.927 * [misc]backup-simplify:  Simplify k into k
1538655417.927 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655417.927 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655417.927 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655417.927 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655417.928 * [misc]backup-simplify:  Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
1538655417.928 * [misc]taylor:  Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1538655417.928 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538655417.928 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538655417.928 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538655417.928 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538655417.928 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.928 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.928 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655417.928 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.928 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.928 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.929 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655417.929 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655417.929 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655417.929 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538655417.929 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538655417.929 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538655417.929 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655417.929 * [misc]backup-simplify:  Simplify -2 into -2
1538655417.929 * [misc]taylor:  Taking taylor expansion of PI in k
1538655417.929 * [misc]backup-simplify:  Simplify PI into PI
1538655417.929 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655417.930 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655417.930 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655417.930 * [misc]taylor:  Taking taylor expansion of n in k
1538655417.930 * [misc]backup-simplify:  Simplify n into n
1538655417.930 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655417.930 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538655417.930 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538655417.930 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655417.931 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538655417.932 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538655417.932 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1538655417.932 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655417.932 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655417.932 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655417.932 * [misc]backup-simplify:  Simplify -1 into -1
1538655417.933 * [misc]taylor:  Taking taylor expansion of k in k
1538655417.933 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.933 * [misc]backup-simplify:  Simplify 1 into 1
1538655417.933 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655417.933 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655417.933 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655417.934 * [misc]backup-simplify:  Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1538655417.935 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1538655417.936 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655417.937 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655417.940 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538655417.940 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538655417.941 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538655417.941 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.941 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.942 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538655417.943 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655417.944 * [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
1538655417.944 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.944 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.944 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.944 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538655417.945 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655417.945 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
1538655417.946 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
1538655417.947 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.947 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655417.951 * [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
1538655417.951 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.951 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538655417.951 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655417.952 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655417.952 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538655417.954 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655417.954 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655417.954 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1538655417.955 * [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
1538655417.955 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655417.955 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.955 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.955 * [misc]backup-simplify:  Simplify 0 into 0
1538655417.955 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655417.956 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538655417.958 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
1538655417.958 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
1538655417.960 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
1538655417.960 * * * [misc]progress:  simplifying candidates
1538655417.960 * * * * [misc]progress:  [ 1 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538655417.960 * * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538655417.960 * * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1538655417.960 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1538655417.961 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655417.964 * * [misc]simplify:  iters left: 5 (21 enodes)
1538655417.972 * * [misc]simplify:  iters left: 4 (47 enodes)
1538655418.002 * * [misc]simplify:  iters left: 3 (113 enodes)
1538655418.058 * * [misc]simplify:  iters left: 2 (328 enodes)
1538655418.517 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1538655418.517 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k)))
1538655418.517 * * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1538655418.517 * * * * [misc]progress:  [ 5 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1538655418.517 * [enter]simplify:  Simplifying (* PI (* n 2))
1538655418.518 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655418.520 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655418.522 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655418.525 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655418.528 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1538655418.528 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1538655418.528 * * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1538655418.528 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538655418.528 * * [misc]simplify:  iters left: 5 (8 enodes)
1538655418.530 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655418.533 * * [misc]simplify:  iters left: 3 (18 enodes)
1538655418.537 * * [misc]simplify:  iters left: 2 (20 enodes)
1538655418.540 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538655418.540 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1538655418.540 * * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
1538655418.540 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538655418.541 * * [misc]simplify:  iters left: 5 (6 enodes)
1538655418.542 * * [misc]simplify:  iters left: 4 (8 enodes)
1538655418.543 * * [misc]simplify:  iters left: 3 (11 enodes)
1538655418.545 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538655418.545 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))
1538655418.545 * * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1538655418.545 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538655418.545 * * [misc]simplify:  iters left: 5 (6 enodes)
1538655418.546 * * [misc]simplify:  iters left: 4 (8 enodes)
1538655418.549 * * [misc]simplify:  iters left: 3 (11 enodes)
1538655418.552 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538655418.552 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))
1538655418.553 * * * * [misc]progress:  [ 9 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.553 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538655418.553 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655418.555 * * [misc]simplify:  iters left: 3 (7 enodes)
1538655418.556 * * [misc]simplify:  iters left: 2 (10 enodes)
1538655418.558 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538655418.558 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))
1538655418.558 * * * * [misc]progress:  [ 10 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1538655418.558 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538655418.559 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655418.562 * * [misc]simplify:  iters left: 4 (15 enodes)
1538655418.565 * * [misc]simplify:  iters left: 3 (21 enodes)
1538655418.568 * * [misc]simplify:  iters left: 2 (22 enodes)
1538655418.572 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538655418.572 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1538655418.572 * * * * [misc]progress:  [ 11 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1538655418.572 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538655418.572 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655418.575 * * [misc]simplify:  iters left: 4 (15 enodes)
1538655418.577 * * [misc]simplify:  iters left: 3 (21 enodes)
1538655418.581 * * [misc]simplify:  iters left: 2 (22 enodes)
1538655418.585 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538655418.585 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1538655418.585 * * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
1538655418.585 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538655418.586 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655418.588 * * [misc]simplify:  iters left: 4 (9 enodes)
1538655418.592 * * [misc]simplify:  iters left: 3 (12 enodes)
1538655418.596 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538655418.596 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
1538655418.597 * * * * [misc]progress:  [ 13 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 15 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 16 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 19 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 21 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 22 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.597 * * * * [misc]progress:  [ 28 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.598 * * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.598 * * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1538655418.598 * * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538655418.598 * * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538655418.598 * * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1538655418.598 * * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1538655418.598 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1538655418.599 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655418.606 * * [misc]simplify:  iters left: 5 (27 enodes)
1538655418.620 * * [misc]simplify:  iters left: 4 (55 enodes)
1538655418.652 * * [misc]simplify:  iters left: 3 (144 enodes)
1538655418.794 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1538655418.795 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1538655418.795 * * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1538655418.795 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1538655418.796 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655418.804 * * [misc]simplify:  iters left: 5 (27 enodes)
1538655418.818 * * [misc]simplify:  iters left: 4 (55 enodes)
1538655418.840 * * [misc]simplify:  iters left: 3 (144 enodes)
1538655419.014 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1538655419.014 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1538655419.014 * * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1538655419.015 * [enter]simplify:  Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))
1538655419.016 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655419.023 * * [misc]simplify:  iters left: 5 (24 enodes)
1538655419.034 * * [misc]simplify:  iters left: 4 (43 enodes)
1538655419.053 * * [misc]simplify:  iters left: 3 (73 enodes)
1538655419.100 * * [misc]simplify:  iters left: 2 (220 enodes)
1538655419.376 * [exit]simplify:  Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1538655419.376 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1538655419.376 * * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538655419.376 * * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538655419.376 * * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1538655419.376 * [enter]simplify:  Simplifying (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1538655419.377 * * [misc]simplify:  iters left: 6 (16 enodes)
1538655419.382 * * [misc]simplify:  iters left: 5 (31 enodes)
1538655419.390 * * [misc]simplify:  iters left: 4 (67 enodes)
1538655419.407 * * [misc]simplify:  iters left: 3 (124 enodes)
1538655419.448 * * [misc]simplify:  iters left: 2 (195 enodes)
1538655419.521 * * [misc]simplify:  iters left: 1 (309 enodes)
1538655419.686 * [exit]simplify:  Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k))))
1538655419.686 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k))))))
1538655419.686 * * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538655419.687 * * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538655419.687 * * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538655419.687 * * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1538655419.687 * * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1538655419.687 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655419.688 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655419.693 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655419.699 * * [misc]simplify:  iters left: 4 (25 enodes)
1538655419.706 * * [misc]simplify:  iters left: 3 (26 enodes)
1538655419.714 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655419.714 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))
1538655419.714 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1538655419.716 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655419.720 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655419.724 * * [misc]simplify:  iters left: 4 (24 enodes)
1538655419.728 * * [misc]simplify:  iters left: 3 (25 enodes)
1538655419.733 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1538655419.733 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))
1538655419.733 * * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1538655419.733 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1538655419.733 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655419.736 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655419.739 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655419.744 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655419.748 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1538655419.749 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1538655419.749 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1538655419.749 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655419.752 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655419.756 * * [misc]simplify:  iters left: 4 (24 enodes)
1538655419.764 * * [misc]simplify:  iters left: 3 (25 enodes)
1538655419.772 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1538655419.772 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1538655419.772 * * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1538655419.773 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1538655419.773 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655419.778 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655419.785 * * [misc]simplify:  iters left: 4 (24 enodes)
1538655419.792 * * [misc]simplify:  iters left: 3 (26 enodes)
1538655419.799 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1538655419.799 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1538655419.800 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1538655419.801 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655419.805 * * [misc]simplify:  iters left: 5 (17 enodes)
1538655419.812 * * [misc]simplify:  iters left: 4 (23 enodes)
1538655419.819 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655419.828 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1538655419.828 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1538655419.828 * * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1538655419.828 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655419.829 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655419.835 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655419.843 * * [misc]simplify:  iters left: 4 (25 enodes)
1538655419.852 * * [misc]simplify:  iters left: 3 (26 enodes)
1538655419.860 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655419.860 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))
1538655419.861 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1538655419.863 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655419.866 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655419.870 * * [misc]simplify:  iters left: 4 (24 enodes)
1538655419.874 * * [misc]simplify:  iters left: 3 (25 enodes)
1538655419.878 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1538655419.879 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))
1538655419.879 * * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1538655419.879 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1538655419.879 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655419.882 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655419.885 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655419.889 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655419.893 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1538655419.893 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1538655419.893 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1538655419.894 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655419.899 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655419.907 * * [misc]simplify:  iters left: 4 (24 enodes)
1538655419.913 * * [misc]simplify:  iters left: 3 (25 enodes)
1538655419.917 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1538655419.917 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1538655419.917 * * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1538655419.917 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1538655419.918 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655419.920 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655419.924 * * [misc]simplify:  iters left: 4 (24 enodes)
1538655419.927 * * [misc]simplify:  iters left: 3 (26 enodes)
1538655419.931 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1538655419.931 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1538655419.931 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1538655419.932 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655419.934 * * [misc]simplify:  iters left: 5 (17 enodes)
1538655419.937 * * [misc]simplify:  iters left: 4 (23 enodes)
1538655419.943 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655419.947 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1538655419.947 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1538655419.947 * * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1538655419.947 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655419.948 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655419.950 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655419.953 * * [misc]simplify:  iters left: 4 (18 enodes)
1538655419.956 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655419.956 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1538655419.956 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538655419.957 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655419.959 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655419.961 * * [misc]simplify:  iters left: 4 (17 enodes)
1538655419.964 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538655419.964 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1538655419.964 * * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1538655419.964 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538655419.965 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655419.967 * * [misc]simplify:  iters left: 5 (12 enodes)
1538655419.971 * * [misc]simplify:  iters left: 4 (15 enodes)
1538655419.976 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538655419.976 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538655419.977 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538655419.978 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655419.982 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655419.986 * * [misc]simplify:  iters left: 4 (17 enodes)
1538655419.992 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538655419.993 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538655419.993 * * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))>
1538655419.993 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1)
1538655419.994 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655419.998 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655420.003 * * [misc]simplify:  iters left: 4 (18 enodes)
1538655420.008 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538655420.009 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1538655420.009 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1538655420.010 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655420.014 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655420.018 * * [misc]simplify:  iters left: 4 (16 enodes)
1538655420.024 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1538655420.024 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1538655420.024 * * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1538655420.024 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655420.026 * * [misc]simplify:  iters left: 6 (16 enodes)
1538655420.034 * * [misc]simplify:  iters left: 5 (28 enodes)
1538655420.046 * * [misc]simplify:  iters left: 4 (46 enodes)
1538655420.062 * * [misc]simplify:  iters left: 3 (50 enodes)
1538655420.069 * * [misc]simplify:  iters left: 2 (53 enodes)
1538655420.079 * [exit]simplify:  Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
1538655420.079 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1538655420.080 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538655420.081 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655420.084 * * [misc]simplify:  iters left: 5 (20 enodes)
1538655420.089 * * [misc]simplify:  iters left: 4 (29 enodes)
1538655420.098 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.108 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538655420.108 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1538655420.109 * * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1538655420.109 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1538655420.111 * * [misc]simplify:  iters left: 6 (15 enodes)
1538655420.117 * * [misc]simplify:  iters left: 5 (23 enodes)
1538655420.127 * * [misc]simplify:  iters left: 4 (34 enodes)
1538655420.138 * * [misc]simplify:  iters left: 3 (37 enodes)
1538655420.152 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))
1538655420.152 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1538655420.152 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538655420.156 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655420.162 * * [misc]simplify:  iters left: 5 (20 enodes)
1538655420.170 * * [misc]simplify:  iters left: 4 (29 enodes)
1538655420.179 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.190 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538655420.190 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1538655420.190 * * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
1538655420.190 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)
1538655420.191 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655420.198 * * [misc]simplify:  iters left: 5 (24 enodes)
1538655420.209 * * [misc]simplify:  iters left: 4 (39 enodes)
1538655420.225 * * [misc]simplify:  iters left: 3 (54 enodes)
1538655420.245 * * [misc]simplify:  iters left: 2 (80 enodes)
1538655420.269 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1538655420.270 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))
1538655420.270 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1538655420.271 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655420.277 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655420.284 * * [misc]simplify:  iters left: 4 (28 enodes)
1538655420.294 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.303 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1538655420.304 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1538655420.304 * * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1538655420.304 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655420.305 * * [misc]simplify:  iters left: 6 (15 enodes)
1538655420.311 * * [misc]simplify:  iters left: 5 (23 enodes)
1538655420.319 * * [misc]simplify:  iters left: 4 (32 enodes)
1538655420.329 * * [misc]simplify:  iters left: 3 (34 enodes)
1538655420.339 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655420.339 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1538655420.339 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538655420.341 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655420.346 * * [misc]simplify:  iters left: 5 (20 enodes)
1538655420.353 * * [misc]simplify:  iters left: 4 (29 enodes)
1538655420.362 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.371 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538655420.371 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1538655420.371 * * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1538655420.371 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538655420.373 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655420.378 * * [misc]simplify:  iters left: 5 (20 enodes)
1538655420.385 * * [misc]simplify:  iters left: 4 (29 enodes)
1538655420.394 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.403 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538655420.403 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1538655420.403 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538655420.404 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655420.412 * * [misc]simplify:  iters left: 5 (20 enodes)
1538655420.420 * * [misc]simplify:  iters left: 4 (29 enodes)
1538655420.428 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.437 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538655420.437 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1538655420.437 * * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
1538655420.437 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)
1538655420.438 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655420.444 * * [misc]simplify:  iters left: 5 (21 enodes)
1538655420.452 * * [misc]simplify:  iters left: 4 (32 enodes)
1538655420.460 * * [misc]simplify:  iters left: 3 (33 enodes)
1538655420.469 * [exit]simplify:  Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))
1538655420.469 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))
1538655420.469 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1538655420.470 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655420.474 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655420.478 * * [misc]simplify:  iters left: 4 (28 enodes)
1538655420.482 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.487 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1538655420.487 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1538655420.487 * * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1538655420.487 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655420.488 * * [misc]simplify:  iters left: 6 (6 enodes)
1538655420.489 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655420.491 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1538655420.491 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1538655420.491 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538655420.492 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655420.495 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655420.499 * * [misc]simplify:  iters left: 4 (28 enodes)
1538655420.509 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.520 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538655420.520 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1538655420.520 * * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1538655420.520 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1538655420.521 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655420.523 * * [misc]simplify:  iters left: 3 (7 enodes)
1538655420.525 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1538655420.525 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538655420.526 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538655420.527 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655420.532 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655420.541 * * [misc]simplify:  iters left: 4 (28 enodes)
1538655420.550 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655420.560 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538655420.560 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538655420.560 * * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1538655420.560 * [enter]simplify:  Simplifying (/ 1 1)
1538655420.560 * * [misc]simplify:  iters left: 2 (2 enodes)
1538655420.561 * * [misc]simplify:  iters left: 1 (4 enodes)
1538655420.561 * [exit]simplify:  Simplified to 1
1538655420.561 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))
1538655420.561 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1538655420.562 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655420.564 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655420.568 * * [misc]simplify:  iters left: 4 (27 enodes)
1538655420.573 * * [misc]simplify:  iters left: 3 (29 enodes)
1538655420.578 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))
1538655420.578 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))
1538655420.578 * * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1538655420.578 * * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1538655420.578 * * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538655420.578 * * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1538655420.578 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1538655420.579 * * [misc]simplify:  iters left: 2 (3 enodes)
1538655420.579 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1538655420.579 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1538655420.580 * * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1538655420.580 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538655420.580 * * [misc]simplify:  iters left: 2 (3 enodes)
1538655420.581 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538655420.581 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1538655420.581 * * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1538655420.582 * [enter]simplify:  Simplifying (sqrt k)
1538655420.582 * * [misc]simplify:  iters left: 1 (2 enodes)
1538655420.583 * [exit]simplify:  Simplified to (sqrt k)
1538655420.583 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))
1538655420.583 * * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538655420.583 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538655420.583 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655420.587 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655420.592 * * [misc]simplify:  iters left: 3 (18 enodes)
1538655420.598 * * [misc]simplify:  iters left: 2 (20 enodes)
1538655420.605 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538655420.605 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1538655420.605 * * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538655420.605 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538655420.606 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655420.609 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655420.614 * * [misc]simplify:  iters left: 3 (18 enodes)
1538655420.620 * * [misc]simplify:  iters left: 2 (20 enodes)
1538655420.629 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538655420.629 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1538655420.629 * * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538655420.630 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538655420.631 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655420.634 * * [misc]simplify:  iters left: 4 (9 enodes)
1538655420.637 * * [misc]simplify:  iters left: 3 (12 enodes)
1538655420.640 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538655420.640 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1538655420.640 * * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538655420.641 * [enter]simplify:  Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538655420.641 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655420.644 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655420.648 * * [misc]simplify:  iters left: 4 (27 enodes)
1538655420.652 * * [misc]simplify:  iters left: 3 (29 enodes)
1538655420.657 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1538655420.657 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538655420.657 * * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538655420.657 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538655420.658 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655420.660 * * [misc]simplify:  iters left: 5 (17 enodes)
1538655420.664 * * [misc]simplify:  iters left: 4 (26 enodes)
1538655420.668 * * [misc]simplify:  iters left: 3 (27 enodes)
1538655420.673 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1538655420.673 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538655420.673 * * * * [misc]progress:  [ 73 / 83 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538655420.673 * * * * [misc]progress:  [ 74 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655420.674 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538655420.674 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655420.678 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655420.683 * * [misc]simplify:  iters left: 3 (18 enodes)
1538655420.688 * * [misc]simplify:  iters left: 2 (20 enodes)
1538655420.695 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538655420.695 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655420.695 * * * * [misc]progress:  [ 75 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
1538655420.695 * [enter]simplify:  Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1538655420.699 * * [misc]simplify:  iters left: 6 (37 enodes)
1538655420.715 * * [misc]simplify:  iters left: 5 (108 enodes)
1538655420.763 * * [misc]simplify:  iters left: 4 (368 enodes)
1538655421.309 * [exit]simplify:  Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))
1538655421.309 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k)))
1538655421.310 * * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1538655421.310 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1538655421.311 * * [misc]simplify:  iters left: 6 (15 enodes)
1538655421.317 * * [misc]simplify:  iters left: 5 (33 enodes)
1538655421.327 * * [misc]simplify:  iters left: 4 (64 enodes)
1538655421.369 * * [misc]simplify:  iters left: 3 (179 enodes)
1538655421.580 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))
1538655421.580 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)))
1538655421.580 * * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1538655421.580 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1538655421.581 * * [misc]simplify:  iters left: 6 (15 enodes)
1538655421.586 * * [misc]simplify:  iters left: 5 (30 enodes)
1538655421.595 * * [misc]simplify:  iters left: 4 (65 enodes)
1538655421.626 * * [misc]simplify:  iters left: 3 (208 enodes)
1538655421.907 * [exit]simplify:  Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))
1538655421.907 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k)))
1538655421.907 * * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538655421.907 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655421.907 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655421.910 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655421.914 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655421.919 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655421.924 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655421.925 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538655421.925 * * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538655421.925 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655421.925 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655421.928 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655421.932 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655421.937 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655421.943 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655421.943 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538655421.943 * * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538655421.943 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655421.943 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655421.946 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655421.950 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655421.956 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655421.962 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655421.962 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538655421.962 * * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
1538655421.962 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1538655421.962 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655421.962 * * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
1538655421.963 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
1538655421.963 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655421.963 * * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
1538655421.963 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
1538655421.963 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655421.963 * * * [misc]progress:  adding candidates to table
1538655423.650 * * [misc]progress:  iteration 2 / 4
1538655423.650 * * * [misc]progress:  picking best candidate
1538655423.765 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655423.765 * * * [misc]progress:  localizing error
1538655423.823 * * * [misc]progress:  generating rewritten candidates
1538655423.823 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1)
1538655423.852 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
1538655423.877 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
1538655424.070 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
1538655424.078 * * * [misc]progress:  generating series expansions
1538655424.078 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1)
1538655424.078 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538655424.078 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538655424.078 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655424.078 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.078 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.078 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.078 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.078 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.078 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.078 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.078 * [misc]backup-simplify:  Simplify PI into PI
1538655424.078 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655424.078 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.078 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.078 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.078 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.078 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.078 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.078 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.078 * [misc]backup-simplify:  Simplify PI into PI
1538655424.079 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.079 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655424.079 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.080 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.080 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655424.080 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.081 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655424.082 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655424.082 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.083 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.083 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655424.084 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.085 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655424.086 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655424.086 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.088 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655424.089 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538655424.090 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.092 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655424.095 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538655424.095 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.100 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538655424.104 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538655424.104 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.105 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538655424.105 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538655424.105 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538655424.105 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655424.105 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.105 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.105 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.105 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.105 * [misc]backup-simplify:  Simplify PI into PI
1538655424.105 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.105 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.105 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.106 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.106 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655424.106 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.106 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.106 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.106 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.106 * [misc]backup-simplify:  Simplify PI into PI
1538655424.106 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.106 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.106 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.106 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.107 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.107 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.108 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.108 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655424.108 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.109 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.110 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655424.110 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.111 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.112 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.112 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.113 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.114 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655424.114 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.116 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.117 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655424.117 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.119 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.121 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655424.121 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.121 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538655424.121 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538655424.121 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538655424.121 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.121 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.121 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.121 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.121 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.121 * [misc]backup-simplify:  Simplify PI into PI
1538655424.121 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.121 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.121 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.121 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.122 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.122 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.122 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.122 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.122 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.122 * [misc]backup-simplify:  Simplify PI into PI
1538655424.122 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.122 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.122 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.122 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.122 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.122 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.123 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.123 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655424.123 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.124 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.125 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655424.125 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.126 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.131 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.131 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.132 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.133 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655424.133 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.135 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.136 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655424.136 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.138 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.140 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655424.140 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.141 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538655424.141 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
1538655424.141 * [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
1538655424.141 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538655424.142 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655424.142 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.142 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.142 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.142 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.142 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.142 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.142 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.142 * [misc]backup-simplify:  Simplify PI into PI
1538655424.142 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655424.142 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.142 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.142 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.142 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.142 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.142 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.142 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.142 * [misc]backup-simplify:  Simplify PI into PI
1538655424.142 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.143 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655424.143 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.143 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.144 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655424.144 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.146 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655424.147 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655424.147 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.149 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.150 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655424.150 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.153 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655424.155 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655424.155 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.158 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655424.161 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538655424.161 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.165 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655424.168 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538655424.168 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.172 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538655424.175 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538655424.175 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.175 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538655424.175 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n))
1538655424.175 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538655424.175 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655424.175 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.175 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.175 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.175 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.175 * [misc]backup-simplify:  Simplify PI into PI
1538655424.175 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.175 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.175 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.175 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.175 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655424.175 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.175 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.175 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.175 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.176 * [misc]backup-simplify:  Simplify PI into PI
1538655424.176 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.176 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.176 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.176 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.176 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.176 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.177 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.177 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655424.177 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.178 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.179 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655424.179 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.180 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.181 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.181 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.183 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.184 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655424.184 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.185 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.187 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655424.187 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.188 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.190 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655424.190 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.191 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538655424.191 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n))
1538655424.191 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538655424.191 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.191 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.191 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.191 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.191 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.191 * [misc]backup-simplify:  Simplify PI into PI
1538655424.191 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.191 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.191 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.191 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.191 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.191 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.191 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.191 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.191 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.191 * [misc]backup-simplify:  Simplify PI into PI
1538655424.192 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.192 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.192 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.192 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.192 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.192 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.193 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.193 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655424.193 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.194 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.195 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655424.195 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.196 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.197 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.197 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.198 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.199 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655424.199 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.202 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.205 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655424.205 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.207 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.210 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655424.211 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.211 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538655424.211 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
1538655424.212 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k)))
1538655424.212 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0
1538655424.212 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k
1538655424.212 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k
1538655424.212 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.212 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.212 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.212 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.213 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.213 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k
1538655424.213 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k
1538655424.213 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k
1538655424.213 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655424.213 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.213 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.213 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.213 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.213 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.213 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538655424.213 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538655424.213 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.213 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.213 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655424.213 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.213 * [misc]backup-simplify:  Simplify n into n
1538655424.213 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.213 * [misc]backup-simplify:  Simplify PI into PI
1538655424.213 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655424.213 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538655424.213 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538655424.214 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655424.214 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1538655424.214 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538655424.214 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538655424.216 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538655424.216 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538655424.216 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI))))
1538655424.217 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655424.217 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1538655424.217 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1538655424.217 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1538655424.217 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655424.217 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.217 * [misc]backup-simplify:  Simplify n into n
1538655424.217 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.217 * [misc]backup-simplify:  Simplify PI into PI
1538655424.217 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.217 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.217 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.217 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655424.217 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1538655424.217 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.218 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1538655424.218 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1538655424.218 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1538655424.218 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.218 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.218 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.218 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.218 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.218 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1538655424.218 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1538655424.218 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1538655424.218 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655424.218 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655424.218 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.218 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.218 * [misc]backup-simplify:  Simplify k into k
1538655424.218 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655424.219 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655424.219 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.219 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.219 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.219 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.219 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.219 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.219 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.219 * [misc]backup-simplify:  Simplify PI into PI
1538655424.219 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.219 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655424.220 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.221 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655424.221 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.221 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655424.222 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655424.222 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1538655424.223 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1538655424.224 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
1538655424.224 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1538655424.224 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1538655424.224 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.224 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.224 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.224 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.224 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.224 * [misc]backup-simplify:  Simplify PI into PI
1538655424.224 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.224 * [misc]backup-simplify:  Simplify k into k
1538655424.225 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.225 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.225 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1538655424.225 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.226 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1538655424.226 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1538655424.226 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1538655424.226 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.226 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.226 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.226 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.226 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.226 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1538655424.226 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1538655424.226 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1538655424.226 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655424.226 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655424.226 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.226 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.226 * [misc]backup-simplify:  Simplify k into k
1538655424.226 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655424.227 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655424.227 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.227 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.227 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.227 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.227 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.227 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.227 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.227 * [misc]backup-simplify:  Simplify PI into PI
1538655424.227 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.227 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655424.228 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.228 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655424.229 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.229 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655424.230 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655424.230 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1538655424.231 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1538655424.232 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
1538655424.232 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1538655424.232 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1538655424.232 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.232 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.232 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.232 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.232 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.232 * [misc]backup-simplify:  Simplify PI into PI
1538655424.232 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.232 * [misc]backup-simplify:  Simplify k into k
1538655424.232 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.232 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.233 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1538655424.233 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.233 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1538655424.233 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1538655424.233 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655424.233 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.234 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655424.235 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655424.237 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655424.237 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538655424.238 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655424.238 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538655424.239 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655424.241 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
1538655424.242 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))))
1538655424.242 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.242 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.242 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.242 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.242 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.242 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.242 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.242 * [misc]backup-simplify:  Simplify PI into PI
1538655424.242 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1538655424.242 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.242 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.242 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1538655424.243 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538655424.243 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.243 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.243 * [misc]backup-simplify:  Simplify n into n
1538655424.243 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.243 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.243 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.243 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.243 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.243 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.243 * [misc]backup-simplify:  Simplify PI into PI
1538655424.245 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.245 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.245 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.245 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.245 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.246 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655424.246 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1538655424.246 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655424.248 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538655424.248 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655424.250 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655424.250 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655424.251 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1538655424.251 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655424.251 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655424.251 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.251 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.251 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.252 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1538655424.252 * [misc]backup-simplify:  Simplify (* 1 0) into 0
1538655424.253 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655424.253 * [misc]backup-simplify:  Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1
1538655424.254 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1538655424.254 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1538655424.255 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655424.256 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655424.256 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.256 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655424.257 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1538655424.257 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1538655424.258 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655424.259 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.260 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655424.266 * [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
1538655424.267 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538655424.267 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655424.268 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538655424.270 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655424.273 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
1538655424.276 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)))))
1538655424.276 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2))))) in k
1538655424.276 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)))) in k
1538655424.276 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.276 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.276 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2))) in k
1538655424.276 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k
1538655424.276 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.276 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.276 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.276 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.276 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.276 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1538655424.276 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.277 * [misc]backup-simplify:  Simplify PI into PI
1538655424.277 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.277 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.277 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.277 * [misc]backup-simplify:  Simplify n into n
1538655424.277 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.277 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.277 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.277 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.277 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.277 * [misc]backup-simplify:  Simplify PI into PI
1538655424.277 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.278 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.278 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.278 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.278 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.278 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655424.279 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1538655424.279 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655424.280 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538655424.281 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655424.284 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655424.284 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655424.285 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1538655424.285 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655424.286 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655424.286 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1538655424.286 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.286 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.286 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.286 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655424.287 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1538655424.287 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.287 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.289 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1538655424.290 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1538655424.291 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1538655424.291 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655424.293 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655424.294 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))
1538655424.297 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1538655424.304 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1538655424.309 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1538655424.315 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1538655424.316 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1538655424.317 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538655424.318 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655424.324 * [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
1538655424.325 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655424.325 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0
1538655424.326 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0
1538655424.329 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))
1538655424.334 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))
1538655424.336 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1538655424.339 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655424.342 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655424.345 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655424.358 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1538655424.358 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (* (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2)))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n)))
1538655424.358 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0
1538655424.358 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k
1538655424.358 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k
1538655424.358 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.359 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.359 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.359 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.359 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.359 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k
1538655424.359 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k
1538655424.359 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k
1538655424.359 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in k
1538655424.359 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.359 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.359 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.359 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.359 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.359 * [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
1538655424.360 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538655424.360 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538655424.360 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.360 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.360 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655424.360 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.360 * [misc]backup-simplify:  Simplify PI into PI
1538655424.360 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.360 * [misc]backup-simplify:  Simplify n into n
1538655424.360 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655424.360 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538655424.360 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538655424.360 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
1538655424.361 * [misc]backup-simplify:  Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
1538655424.361 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))
1538655424.361 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1538655424.361 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1538655424.361 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1538655424.361 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.361 * [misc]backup-simplify:  Simplify PI into PI
1538655424.361 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.361 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.361 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.361 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.361 * [misc]backup-simplify:  Simplify n into n
1538655424.362 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538655424.363 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538655424.363 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655424.363 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.363 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1538655424.363 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1538655424.363 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1538655424.363 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.363 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.363 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.364 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.364 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.364 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1538655424.364 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1538655424.364 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1538655424.364 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1538655424.364 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655424.364 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.364 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.364 * [misc]backup-simplify:  Simplify k into k
1538655424.364 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1538655424.364 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655424.364 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655424.364 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.364 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.364 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.364 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.364 * [misc]backup-simplify:  Simplify PI into PI
1538655424.364 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.364 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.364 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.365 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.365 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.366 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.368 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.369 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655424.369 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.370 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.370 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1538655424.370 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1538655424.370 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1538655424.370 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.370 * [misc]backup-simplify:  Simplify PI into PI
1538655424.370 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.370 * [misc]backup-simplify:  Simplify k into k
1538655424.370 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.370 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.371 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.371 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1538655424.371 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1538655424.371 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.371 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1538655424.371 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1538655424.371 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1538655424.371 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.371 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.371 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.372 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.372 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.372 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1538655424.372 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1538655424.372 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1538655424.372 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1538655424.372 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655424.372 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.372 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.372 * [misc]backup-simplify:  Simplify k into k
1538655424.372 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1538655424.372 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655424.372 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655424.372 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.372 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.372 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.372 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.372 * [misc]backup-simplify:  Simplify PI into PI
1538655424.372 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.372 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.372 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.373 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.373 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.373 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.374 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.375 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655424.376 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.376 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.376 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1538655424.376 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1538655424.377 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1538655424.377 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.377 * [misc]backup-simplify:  Simplify PI into PI
1538655424.377 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.377 * [misc]backup-simplify:  Simplify k into k
1538655424.377 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.377 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.377 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.377 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1538655424.377 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1538655424.377 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.377 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1538655424.378 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0
1538655424.378 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655424.379 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.379 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.380 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.380 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655424.383 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655424.384 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0
1538655424.384 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.385 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538655424.387 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655424.389 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.391 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.391 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655424.391 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655424.391 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.391 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.391 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655424.391 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1538655424.391 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.391 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.391 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.391 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.391 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.391 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1538655424.391 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.392 * [misc]backup-simplify:  Simplify PI into PI
1538655424.392 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.392 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.392 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.392 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655424.392 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655424.392 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.392 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.392 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655424.392 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655424.392 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.392 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.392 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.392 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.392 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.392 * [misc]backup-simplify:  Simplify PI into PI
1538655424.392 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.393 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.393 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.393 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.393 * [misc]backup-simplify:  Simplify n into n
1538655424.393 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.393 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.393 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.393 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.393 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.394 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655424.394 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655424.395 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655424.396 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.396 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538655424.396 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655424.397 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538655424.399 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1538655424.400 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.400 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.400 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1538655424.400 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1538655424.401 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1538655424.402 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655424.403 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.403 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655424.407 * [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
1538655424.407 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655424.407 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.408 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538655424.409 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655424.411 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.413 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.413 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.413 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.413 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.413 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.413 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.413 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.413 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.413 * [misc]backup-simplify:  Simplify PI into PI
1538655424.413 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.413 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.413 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.413 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655424.413 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.413 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.413 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655424.414 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655424.414 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.414 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.414 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.414 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.414 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.414 * [misc]backup-simplify:  Simplify PI into PI
1538655424.414 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.414 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.414 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.414 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.414 * [misc]backup-simplify:  Simplify n into n
1538655424.414 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.414 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.414 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.414 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.414 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.415 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655424.415 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655424.415 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655424.416 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.416 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655424.416 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.417 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1538655424.417 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1538655424.418 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.419 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1538655424.420 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.421 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.421 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.421 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1538655424.422 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.423 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3)))
1538655424.423 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.424 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.425 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.431 * [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
1538655424.431 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655424.432 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.432 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538655424.434 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538655424.437 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.439 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.439 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.439 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.439 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.439 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.439 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.439 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.439 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.439 * [misc]backup-simplify:  Simplify PI into PI
1538655424.439 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1538655424.439 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.439 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.440 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.440 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655424.440 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655424.440 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.440 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.440 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655424.440 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655424.440 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.440 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.440 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.440 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.440 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.440 * [misc]backup-simplify:  Simplify PI into PI
1538655424.440 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.440 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.440 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.440 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.440 * [misc]backup-simplify:  Simplify n into n
1538655424.440 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.440 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.440 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.440 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.441 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.441 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655424.441 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655424.442 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655424.442 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.442 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655424.443 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1538655424.443 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.443 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.443 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1538655424.444 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1538655424.445 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.446 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1538655424.446 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655424.447 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1538655424.449 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.450 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1538655424.450 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655424.450 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.450 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.450 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1538655424.451 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.453 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4)))
1538655424.454 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.455 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.456 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655424.467 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1538655424.467 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655424.468 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.469 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1538655424.472 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655424.475 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.478 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.478 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.478 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.478 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.478 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.478 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.478 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.478 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.478 * [misc]backup-simplify:  Simplify PI into PI
1538655424.478 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.478 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.478 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.478 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.478 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.478 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.478 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.479 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.479 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.479 * [misc]backup-simplify:  Simplify PI into PI
1538655424.479 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.479 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.479 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.479 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.479 * [misc]backup-simplify:  Simplify n into n
1538655424.479 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.479 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.479 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.479 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.479 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.480 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655424.480 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655424.481 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655424.481 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.482 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655424.482 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1538655424.482 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.482 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.483 * [misc]backup-simplify:  Simplify (* (pow PI 4) 1) into (pow PI 4)
1538655424.483 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4))
1538655424.485 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.486 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1538655424.487 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.489 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.489 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538655424.489 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.490 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655424.493 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.494 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.494 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655424.494 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.494 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.494 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1538655424.495 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.497 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5)))
1538655424.497 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.499 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.500 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655424.520 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1538655424.521 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655424.522 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.523 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1538655424.528 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538655424.532 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.535 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.535 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.535 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.535 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.535 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.535 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.535 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.535 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.535 * [misc]backup-simplify:  Simplify PI into PI
1538655424.535 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.535 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.535 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.535 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.535 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.535 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.535 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.535 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.535 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.535 * [misc]backup-simplify:  Simplify PI into PI
1538655424.536 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.536 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.536 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.536 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.536 * [misc]backup-simplify:  Simplify n into n
1538655424.536 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.536 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.536 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.536 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.536 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.536 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655424.537 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655424.537 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655424.538 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.538 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655424.539 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1538655424.539 * [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
1538655424.539 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.540 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.540 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.540 * [misc]backup-simplify:  Simplify (* (pow PI 5) 1) into (pow PI 5)
1538655424.541 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5))
1538655424.542 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.542 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655424.542 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1538655424.543 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1538655424.544 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1538655424.546 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.547 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1538655424.547 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655424.547 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.548 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1538655424.549 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.550 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655424.553 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.555 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0
1538655424.555 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655424.555 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.555 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.556 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1538655424.557 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.560 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6)))
1538655424.562 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.564 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.567 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655424.589 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1538655424.589 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655424.590 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655424.591 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1538655424.601 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655424.608 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655424.613 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.613 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655424.613 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.614 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.614 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.614 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.614 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.614 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.614 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.614 * [misc]backup-simplify:  Simplify PI into PI
1538655424.614 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.614 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.614 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.614 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655424.614 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655424.615 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655424.615 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655424.615 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655424.615 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655424.615 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655424.615 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655424.615 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655424.615 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.615 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.615 * [misc]backup-simplify:  Simplify PI into PI
1538655424.615 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655424.616 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655424.616 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.616 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.616 * [misc]backup-simplify:  Simplify n into n
1538655424.616 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.616 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.616 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.616 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.616 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.617 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655424.617 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655424.618 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655424.619 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655424.619 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655424.620 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1538655424.621 * [misc]backup-simplify:  Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6)
1538655424.621 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.621 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.621 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655424.622 * [misc]backup-simplify:  Simplify (* (pow PI 6) 1) into (pow PI 6)
1538655424.622 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6))
1538655424.623 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655424.624 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1538655424.626 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.627 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655424.632 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2))))))))))
1538655424.632 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (* (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2)))) into (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))))
1538655424.632 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0
1538655424.632 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k
1538655424.632 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k
1538655424.632 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655424.632 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655424.632 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.632 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655424.632 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.633 * [misc]backup-simplify:  Simplify PI into PI
1538655424.633 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.633 * [misc]backup-simplify:  Simplify n into n
1538655424.633 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655424.633 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655424.633 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1538655424.633 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1538655424.633 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0
1538655424.633 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1538655424.633 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k
1538655424.633 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k
1538655424.633 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k
1538655424.633 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k
1538655424.633 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in k
1538655424.633 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655424.633 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655424.633 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.633 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.633 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.634 * [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
1538655424.634 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538655424.634 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655424.634 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655424.634 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.634 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655424.634 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.634 * [misc]backup-simplify:  Simplify PI into PI
1538655424.634 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.634 * [misc]backup-simplify:  Simplify n into n
1538655424.634 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655424.634 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655424.634 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538655424.634 * [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
1538655424.634 * [misc]backup-simplify:  Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
1538655424.634 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655424.634 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655424.634 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655424.634 * [misc]backup-simplify:  Simplify -1 into -1
1538655424.634 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.634 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.634 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.634 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655424.635 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.635 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655424.635 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0
1538655424.635 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655424.636 * [misc]backup-simplify:  Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655424.636 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1538655424.636 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1538655424.636 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.636 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.636 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.636 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.636 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.636 * [misc]backup-simplify:  Simplify PI into PI
1538655424.636 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.636 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.636 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.636 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.636 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.636 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.637 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.637 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1538655424.637 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655424.637 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.637 * [misc]backup-simplify:  Simplify k into k
1538655424.637 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1538655424.637 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.637 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.637 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.637 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.637 * [misc]backup-simplify:  Simplify PI into PI
1538655424.637 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.637 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.637 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.637 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.638 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.638 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655424.638 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655424.639 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1538655424.639 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655424.639 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655424.639 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655424.639 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655424.639 * [misc]backup-simplify:  Simplify -1 into -1
1538655424.639 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.640 * [misc]backup-simplify:  Simplify k into k
1538655424.640 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655424.640 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655424.640 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655424.640 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655424.640 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1538655424.641 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))
1538655424.641 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1538655424.641 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1538655424.641 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.641 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.641 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.641 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.641 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.641 * [misc]backup-simplify:  Simplify PI into PI
1538655424.641 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.641 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.641 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.641 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.641 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.642 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.642 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.642 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1538655424.642 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655424.642 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.642 * [misc]backup-simplify:  Simplify k into k
1538655424.642 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1538655424.642 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.642 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.642 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.642 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.642 * [misc]backup-simplify:  Simplify PI into PI
1538655424.642 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.642 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.642 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.643 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.643 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.643 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655424.644 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655424.644 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1538655424.644 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655424.644 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655424.644 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655424.645 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655424.645 * [misc]backup-simplify:  Simplify -1 into -1
1538655424.645 * [misc]taylor:  Taking taylor expansion of k in n
1538655424.645 * [misc]backup-simplify:  Simplify k into k
1538655424.645 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655424.645 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655424.645 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655424.645 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655424.645 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1538655424.646 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))
1538655424.646 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.647 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.647 * [misc]taylor:  Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.647 * [misc]backup-simplify:  Simplify PI into PI
1538655424.647 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655424.647 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655424.647 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538655424.647 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655424.647 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.647 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.647 * [misc]backup-simplify:  Simplify PI into PI
1538655424.648 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.648 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655424.648 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.648 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.648 * [misc]backup-simplify:  Simplify n into n
1538655424.648 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.648 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.648 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.648 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.648 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.649 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538655424.649 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1538655424.650 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1538655424.650 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655424.650 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655424.650 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655424.650 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655424.650 * [misc]backup-simplify:  Simplify -1 into -1
1538655424.650 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.650 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.650 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.650 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655424.650 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.651 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655424.651 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1538655424.652 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.652 * [misc]backup-simplify:  Simplify (/ PI (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.653 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.653 * [misc]backup-simplify:  Simplify (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.654 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.654 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655424.656 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538655424.656 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.657 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655424.659 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538655424.659 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
1538655424.659 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655424.660 * [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538655424.661 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655424.661 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0
1538655424.664 * [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))))
1538655424.664 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655424.664 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655424.664 * [misc]taylor:  Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.664 * [misc]backup-simplify:  Simplify PI into PI
1538655424.664 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655424.664 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655424.664 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538655424.664 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655424.664 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.664 * [misc]taylor:  Taking taylor expansion of PI in k
1538655424.664 * [misc]backup-simplify:  Simplify PI into PI
1538655424.664 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.665 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655424.665 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655424.665 * [misc]taylor:  Taking taylor expansion of n in k
1538655424.665 * [misc]backup-simplify:  Simplify n into n
1538655424.665 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655424.665 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.665 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.665 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.665 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655424.665 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538655424.666 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1538655424.666 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1538655424.666 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655424.666 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655424.666 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655424.666 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655424.666 * [misc]backup-simplify:  Simplify -1 into -1
1538655424.667 * [misc]taylor:  Taking taylor expansion of k in k
1538655424.667 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.667 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.667 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655424.667 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.667 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655424.667 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655424.668 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1538655424.668 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.669 * [misc]backup-simplify:  Simplify (/ (pow PI 2) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.670 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.671 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655424.672 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655424.672 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538655424.673 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655424.674 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655424.676 * [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655424.677 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655424.677 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655424.681 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
1538655424.681 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
1538655424.682 * [misc]backup-simplify:  Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI)))
1538655424.682 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0
1538655424.682 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538655424.682 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.682 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.682 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.682 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.682 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.682 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538655424.682 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.682 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.683 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.683 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.683 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.683 * [misc]backup-simplify:  Simplify PI into PI
1538655424.683 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.684 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.684 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.684 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.684 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538655424.684 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.684 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.684 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.685 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.685 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.685 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538655424.685 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655424.685 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.685 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.685 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.685 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.685 * [misc]backup-simplify:  Simplify PI into PI
1538655424.685 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655424.686 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655424.686 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.687 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.687 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655424.687 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.688 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655424.689 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655424.691 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655424.693 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538655424.694 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655424.696 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538655424.697 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538655424.698 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655424.701 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
1538655424.701 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.703 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1538655424.705 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1538655424.708 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow n 3)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow n 2)) (* (- (* +nan.0 (* (sqrt 2) PI))) n))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))
1538655424.709 * [misc]backup-simplify:  Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n)))
1538655424.709 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0
1538655424.709 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n
1538655424.709 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.709 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.709 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.709 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.709 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.709 * [misc]taylor:  Taking taylor expansion of (sqrt (/ PI n)) in n
1538655424.709 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.709 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.709 * [misc]backup-simplify:  Simplify PI into PI
1538655424.709 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.709 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.709 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.709 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.709 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.710 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.710 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n
1538655424.710 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655424.710 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655424.710 * [misc]backup-simplify:  Simplify 2 into 2
1538655424.710 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655424.710 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655424.710 * [misc]taylor:  Taking taylor expansion of (sqrt (/ PI n)) in n
1538655424.710 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.710 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.710 * [misc]backup-simplify:  Simplify PI into PI
1538655424.710 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.710 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.710 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.710 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.711 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.711 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.711 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655424.711 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.712 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655424.713 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655424.713 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.714 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538655424.715 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655424.717 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538655424.718 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538655424.719 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.721 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
1538655424.722 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655424.724 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1538655424.725 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1538655424.729 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow (/ 1 n) 2)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (/ 1 n)) (- (* +nan.0 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538655424.729 * [misc]backup-simplify:  Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n)))
1538655424.730 * [misc]approximate:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0
1538655424.730 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1538655424.730 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.730 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.730 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.730 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.730 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.730 * [misc]backup-simplify:  Simplify PI into PI
1538655424.730 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.730 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.730 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.730 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.730 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.730 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.731 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.731 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1538655424.731 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655424.731 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655424.731 * [misc]backup-simplify:  Simplify -2 into -2
1538655424.731 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655424.731 * [misc]taylor:  Taking taylor expansion of PI in n
1538655424.731 * [misc]backup-simplify:  Simplify PI into PI
1538655424.731 * [misc]taylor:  Taking taylor expansion of n in n
1538655424.731 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.731 * [misc]backup-simplify:  Simplify 1 into 1
1538655424.731 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655424.731 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655424.731 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655424.732 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655424.732 * [misc]backup-simplify:  Simplify 0 into 0
1538655424.732 * [misc]backup-simplify:  Simplify (* +nan.0 PI) into (* +nan.0 PI)
1538655424.733 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655424.733 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655424.736 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538655424.736 * [misc]backup-simplify:  Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2))
1538655424.737 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655424.738 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655424.741 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
1538655424.742 * [misc]backup-simplify:  Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3))
1538655424.745 * [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 (- n)) 2)) (+ (* (* +nan.0 (pow PI 2)) (/ 1 (- n))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n)))))))
1538655424.745 * * * [misc]progress:  simplifying candidates
1538655424.746 * * * * [misc]progress:  [ 1 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (log1p (expm1 (* PI (* n 2)))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 2 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (expm1 (log1p (* PI (* n 2)))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 3 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (pow (* PI (* n 2)) 1) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 4 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (exp (log (* PI (* n 2)))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 5 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (log (exp (* PI (* n 2)))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 6 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 7 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 8 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 9 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 1 (* PI (* n 2))) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 10 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 11 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 12 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (log1p (expm1 (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 13 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (expm1 (log1p (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 14 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* 2 n) PI) 1)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 15 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (log (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 16 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (log (exp (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.746 * * * * [misc]progress:  [ 17 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI))) (cbrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.747 * * * * [misc]progress:  [ 18 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (cbrt (* (* (* (* 2 n) PI) (* (* 2 n) PI)) (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.747 * * * * [misc]progress:  [ 19 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.747 * * * * [misc]progress:  [ 20 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* 1 (* (* 2 n) PI))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.747 * * * * [misc]progress:  [ 21 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* 2 (* n PI))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.747 * * * * [misc]progress:  [ 22 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655424.747 * * * * [misc]progress:  [ 23 / 72 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655424.747 * * * * [misc]progress:  [ 24 / 72 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655424.747 * * * * [misc]progress:  [ 25 / 72 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) 1))>
1538655424.747 * * * * [misc]progress:  [ 26 / 72 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655424.747 * [enter]simplify:  Simplifying (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2))))
1538655424.749 * * [misc]simplify:  iters left: 6 (17 enodes)
1538655424.758 * * [misc]simplify:  iters left: 5 (33 enodes)
1538655424.769 * * [misc]simplify:  iters left: 4 (62 enodes)
1538655424.789 * * [misc]simplify:  iters left: 3 (147 enodes)
1538655424.869 * * [misc]simplify:  iters left: 2 (381 enodes)
1538655425.224 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k))))
1538655425.224 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k))))))
1538655425.224 * * * * [misc]progress:  [ 27 / 72 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655425.224 * [enter]simplify:  Simplifying (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2))))
1538655425.227 * * [misc]simplify:  iters left: 6 (17 enodes)
1538655425.236 * * [misc]simplify:  iters left: 5 (33 enodes)
1538655425.250 * * [misc]simplify:  iters left: 4 (62 enodes)
1538655425.273 * * [misc]simplify:  iters left: 3 (147 enodes)
1538655425.353 * * [misc]simplify:  iters left: 2 (381 enodes)
1538655425.643 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k))))
1538655425.644 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k))))))
1538655425.644 * * * * [misc]progress:  [ 28 / 72 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (log (pow (* PI (* n 2)) (/ k 2)))))))>
1538655425.644 * [enter]simplify:  Simplifying (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (log (pow (* PI (* n 2)) (/ k 2)))))
1538655425.645 * * [misc]simplify:  iters left: 6 (17 enodes)
1538655425.649 * * [misc]simplify:  iters left: 5 (29 enodes)
1538655425.657 * * [misc]simplify:  iters left: 4 (55 enodes)
1538655425.672 * * [misc]simplify:  iters left: 3 (121 enodes)
1538655425.722 * * [misc]simplify:  iters left: 2 (335 enodes)
1538655426.011 * [exit]simplify:  Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k))))
1538655426.012 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k))))))
1538655426.012 * * * * [misc]progress:  [ 29 / 72 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (log (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655426.012 * [enter]simplify:  Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655426.014 * * [misc]simplify:  iters left: 6 (16 enodes)
1538655426.022 * * [misc]simplify:  iters left: 5 (27 enodes)
1538655426.032 * * [misc]simplify:  iters left: 4 (40 enodes)
1538655426.050 * * [misc]simplify:  iters left: 3 (71 enodes)
1538655426.092 * * [misc]simplify:  iters left: 2 (194 enodes)
1538655426.345 * [exit]simplify:  Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k))))
1538655426.345 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k))))))
1538655426.345 * * * * [misc]progress:  [ 30 / 72 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655426.345 * * * * [misc]progress:  [ 31 / 72 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655426.345 * * * * [misc]progress:  [ 32 / 72 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655426.346 * [enter]simplify:  Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))
1538655426.348 * * [misc]simplify:  iters left: 6 (20 enodes)
1538655426.360 * * [misc]simplify:  iters left: 5 (39 enodes)
1538655426.385 * * [misc]simplify:  iters left: 4 (167 enodes)
1538655426.672 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (* (/ (sqrt k) (* 2 n)) (/ k PI))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3))
1538655426.672 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (/ (sqrt (* (* 2 n) PI)) (* (/ (sqrt k) (* 2 n)) (/ k PI))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3))))
1538655426.673 * * * * [misc]progress:  [ 33 / 72 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655426.673 * [enter]simplify:  Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655426.674 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655426.680 * * [misc]simplify:  iters left: 5 (38 enodes)
1538655426.699 * * [misc]simplify:  iters left: 4 (167 enodes)
1538655427.060 * [exit]simplify:  Simplified to (* (/ (sqrt (* (* 2 n) PI)) (* (pow (* (* 2 n) PI) (/ k 2)) k)) (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))
1538655427.060 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (sqrt (* (* 2 n) PI)) (* (pow (* (* 2 n) PI) (/ k 2)) k)) (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))))
1538655427.060 * * * * [misc]progress:  [ 34 / 72 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))) (cbrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655427.060 * * * * [misc]progress:  [ 35 / 72 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655427.060 * * * * [misc]progress:  [ 36 / 72 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655427.060 * * * * [misc]progress:  [ 37 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (- (sqrt (* (* 2 n) PI))) (- (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))))>
1538655427.060 * * * * [misc]progress:  [ 38 / 72 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.061 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k))
1538655427.061 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655427.065 * * [misc]simplify:  iters left: 5 (17 enodes)
1538655427.069 * * [misc]simplify:  iters left: 4 (25 enodes)
1538655427.073 * * [misc]simplify:  iters left: 3 (27 enodes)
1538655427.078 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2)))))
1538655427.078 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.078 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))
1538655427.079 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655427.082 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655427.085 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655427.089 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655427.094 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))
1538655427.094 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))))
1538655427.094 * * * * [misc]progress:  [ 39 / 72 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.094 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (sqrt k))
1538655427.095 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655427.097 * * [misc]simplify:  iters left: 4 (8 enodes)
1538655427.100 * [exit]simplify:  Simplified to (/ (sqrt (* 2 n)) (sqrt k))
1538655427.100 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.100 * [enter]simplify:  Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))
1538655427.101 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655427.106 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655427.111 * * [misc]simplify:  iters left: 4 (20 enodes)
1538655427.119 * * [misc]simplify:  iters left: 3 (21 enodes)
1538655427.127 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))
1538655427.127 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))))
1538655427.127 * * * * [misc]progress:  [ 40 / 72 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.127 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k))
1538655427.128 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655427.132 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655427.138 * * [misc]simplify:  iters left: 4 (20 enodes)
1538655427.145 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655427.153 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))
1538655427.153 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.153 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))
1538655427.155 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655427.160 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655427.169 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655427.177 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655427.186 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))
1538655427.186 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))))
1538655427.186 * * * * [misc]progress:  [ 41 / 72 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.186 * [enter]simplify:  Simplifying (/ 1 (sqrt k))
1538655427.187 * * [misc]simplify:  iters left: 3 (4 enodes)
1538655427.188 * * [misc]simplify:  iters left: 2 (6 enodes)
1538655427.190 * [exit]simplify:  Simplified to (/ 1 (sqrt k))
1538655427.190 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.190 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))
1538655427.191 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655427.197 * * [misc]simplify:  iters left: 5 (17 enodes)
1538655427.204 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655427.211 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655427.218 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2)))
1538655427.218 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2)))))
1538655427.218 * * * * [misc]progress:  [ 42 / 72 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))))>
1538655427.218 * * * * [misc]progress:  [ 43 / 72 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ 1 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))))>
1538655427.219 * * * * [misc]progress:  [ 44 / 72 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI)))))>
1538655427.219 * * * * [misc]progress:  [ 45 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* PI (* n 2)) (/ k 2))))>
1538655427.219 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538655427.220 * * [misc]simplify:  iters left: 5 (8 enodes)
1538655427.223 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655427.229 * * [misc]simplify:  iters left: 3 (18 enodes)
1538655427.235 * * [misc]simplify:  iters left: 2 (20 enodes)
1538655427.241 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538655427.241 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* 2 n) PI) (/ k 2))))
1538655427.241 * * * * [misc]progress:  [ 46 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))))>
1538655427.242 * [enter]simplify:  Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))
1538655427.243 * * [misc]simplify:  iters left: 6 (8 enodes)
1538655427.246 * * [misc]simplify:  iters left: 5 (12 enodes)
1538655427.251 * * [misc]simplify:  iters left: 4 (18 enodes)
1538655427.254 * * [misc]simplify:  iters left: 3 (20 enodes)
1538655427.258 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n)))))
1538655427.258 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))))
1538655427.258 * * * * [misc]progress:  [ 47 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* 2 n)) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt PI))))>
1538655427.258 * [enter]simplify:  Simplifying (sqrt (* 2 n))
1538655427.258 * * [misc]simplify:  iters left: 3 (4 enodes)
1538655427.259 * * [misc]simplify:  iters left: 2 (5 enodes)
1538655427.260 * [exit]simplify:  Simplified to (sqrt (* 2 n))
1538655427.260 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* 2 n)) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt PI))))
1538655427.260 * * * * [misc]progress:  [ 48 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI))))))>
1538655427.260 * [enter]simplify:  Simplifying (sqrt (sqrt (* (* 2 n) PI)))
1538655427.261 * * [misc]simplify:  iters left: 6 (7 enodes)
1538655427.262 * * [misc]simplify:  iters left: 5 (11 enodes)
1538655427.265 * * [misc]simplify:  iters left: 4 (17 enodes)
1538655427.267 * * [misc]simplify:  iters left: 3 (19 enodes)
1538655427.271 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* 2 n) PI)))
1538655427.271 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI))))))
1538655427.271 * * * * [misc]progress:  [ 49 / 72 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI)))))>
1538655427.271 * * * * [misc]progress:  [ 50 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 51 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 52 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 n) PI) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 53 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt (* (* 2 n) PI)) 1) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 54 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 55 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 56 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 57 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * * * * [misc]progress:  [ 58 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.271 * [enter]simplify:  Simplifying (sqrt (* 2 n))
1538655427.272 * * [misc]simplify:  iters left: 3 (4 enodes)
1538655427.272 * * [misc]simplify:  iters left: 2 (5 enodes)
1538655427.273 * [exit]simplify:  Simplified to (sqrt (* 2 n))
1538655427.273 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.273 * * * * [misc]progress:  [ 59 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (* (* 2 n) PI)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.273 * * * * [misc]progress:  [ 60 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.273 * * * * [misc]progress:  [ 61 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655427.274 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655427.274 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655427.278 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655427.280 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655427.283 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655427.285 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655427.285 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2)))))
1538655427.285 * * * * [misc]progress:  [ 62 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655427.286 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655427.286 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655427.287 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655427.291 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655427.296 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655427.302 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655427.302 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2)))))
1538655427.302 * * * * [misc]progress:  [ 63 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655427.302 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655427.302 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655427.305 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655427.309 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655427.314 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655427.320 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655427.320 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2)))))
1538655427.320 * * * * [misc]progress:  [ 64 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* 2 (* n PI))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.320 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655427.320 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655427.323 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655427.327 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655427.333 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655427.338 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655427.338 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.338 * * * * [misc]progress:  [ 65 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* 2 (* n PI))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.338 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655427.339 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655427.341 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655427.345 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655427.351 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655427.356 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655427.356 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.356 * * * * [misc]progress:  [ 66 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* 2 (* n PI))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.356 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655427.357 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655427.359 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655427.363 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655427.368 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655427.373 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655427.374 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.374 * * * * [misc]progress:  [ 67 / 72 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))))>
1538655427.374 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1538655427.374 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655427.374 * * * * [misc]progress:  [ 68 / 72 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))))>
1538655427.374 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2))))))))))
1538655427.374 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655427.374 * * * * [misc]progress:  [ 69 / 72 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))))>
1538655427.375 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
1538655427.375 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655427.375 * * * * [misc]progress:  [ 70 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.375 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))
1538655427.375 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ +nan.0 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.375 * * * * [misc]progress:  [ 71 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.375 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538655427.375 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ +nan.0 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.375 * * * * [misc]progress:  [ 72 / 72 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655427.376 * [enter]simplify:  Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n)))))))
1538655427.376 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ +nan.0 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655427.376 * * * [misc]progress:  adding candidates to table
1538655429.055 * * [misc]progress:  iteration 3 / 4
1538655429.055 * * * [misc]progress:  picking best candidate
1538655429.132 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.132 * * * [misc]progress:  localizing error
1538655429.143 * * * [misc]progress:  generating rewritten candidates
1538655429.143 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
1538655429.157 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
1538655429.271 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1)
1538655429.286 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1)
1538655429.315 * * * [misc]progress:  generating series expansions
1538655429.315 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
1538655429.315 * [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1538655429.315 * [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1538655429.315 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538655429.315 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655429.315 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.315 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.315 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.316 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655429.316 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.317 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655429.317 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538655429.317 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538655429.317 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.317 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.317 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.317 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538655429.317 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.318 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655429.318 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.318 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.318 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538655429.320 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655429.320 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.320 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.322 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538655429.322 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.322 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1538655429.322 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1538655429.322 * [misc]approximate:  Taking taylor expansion of (sqrt k) in (k) around 0
1538655429.322 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538655429.322 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.322 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.322 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.322 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.323 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655429.323 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538655429.323 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.323 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.323 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.323 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.324 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538655429.324 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.324 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.325 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655429.325 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.326 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538655429.327 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.327 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1538655429.327 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1538655429.328 * [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1538655429.328 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1538655429.328 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655429.328 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655429.328 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655429.328 * [misc]backup-simplify:  Simplify -1 into -1
1538655429.328 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.328 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.328 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.328 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655429.328 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.329 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655429.329 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1538655429.329 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1538655429.329 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655429.329 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655429.329 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655429.329 * [misc]backup-simplify:  Simplify -1 into -1
1538655429.329 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.329 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.329 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.329 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655429.330 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.330 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655429.330 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1538655429.330 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.331 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538655429.333 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655429.334 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1538655429.334 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538655429.334 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.336 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538655429.337 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1538655429.337 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538655429.338 * [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1538655429.338 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
1538655429.339 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k)))
1538655429.339 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (k n) around 0
1538655429.339 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1538655429.339 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1538655429.339 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.339 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.339 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.340 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.340 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.340 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1538655429.340 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1538655429.340 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1538655429.340 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655429.340 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655429.340 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.340 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.340 * [misc]backup-simplify:  Simplify k into k
1538655429.340 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655429.340 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.340 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.340 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.340 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.340 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.340 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.340 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.340 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.340 * [misc]backup-simplify:  Simplify PI into PI
1538655429.341 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.341 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.342 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.342 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.343 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.343 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655429.344 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.345 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1538655429.345 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1538655429.346 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
1538655429.346 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1538655429.346 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1538655429.346 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.346 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.346 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.346 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.346 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.346 * [misc]backup-simplify:  Simplify PI into PI
1538655429.346 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.347 * [misc]backup-simplify:  Simplify k into k
1538655429.347 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.348 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.348 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1538655429.348 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.348 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1538655429.348 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k
1538655429.348 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k
1538655429.348 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655429.348 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.348 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.348 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.349 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.349 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k
1538655429.349 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k
1538655429.349 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k
1538655429.349 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655429.349 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655429.349 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.349 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.349 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.349 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.349 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538655429.349 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538655429.349 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.349 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.349 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655429.349 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.349 * [misc]backup-simplify:  Simplify n into n
1538655429.349 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.349 * [misc]backup-simplify:  Simplify PI into PI
1538655429.349 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655429.349 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538655429.350 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538655429.350 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655429.350 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1538655429.350 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538655429.351 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538655429.352 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538655429.352 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538655429.353 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI))))
1538655429.353 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655429.353 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1538655429.353 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1538655429.353 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1538655429.353 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655429.353 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.353 * [misc]backup-simplify:  Simplify n into n
1538655429.353 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.353 * [misc]backup-simplify:  Simplify PI into PI
1538655429.353 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.353 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.353 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.354 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655429.354 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1538655429.354 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.354 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1538655429.354 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k
1538655429.354 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k
1538655429.354 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655429.354 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.354 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.354 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.355 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.355 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k
1538655429.355 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k
1538655429.355 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k
1538655429.355 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655429.355 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655429.355 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.355 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.355 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.355 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.355 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538655429.355 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538655429.355 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.355 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.355 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655429.355 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.355 * [misc]backup-simplify:  Simplify n into n
1538655429.355 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.355 * [misc]backup-simplify:  Simplify PI into PI
1538655429.355 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655429.355 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538655429.356 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538655429.356 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655429.356 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1538655429.356 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538655429.357 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538655429.358 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538655429.358 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538655429.359 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI))))
1538655429.359 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655429.359 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1538655429.359 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1538655429.359 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1538655429.359 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655429.359 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.359 * [misc]backup-simplify:  Simplify n into n
1538655429.359 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.359 * [misc]backup-simplify:  Simplify PI into PI
1538655429.359 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.359 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.359 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.359 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655429.360 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1538655429.360 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.360 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1538655429.360 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655429.360 * [misc]taylor:  Taking taylor expansion of 0 in n
1538655429.360 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.360 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.361 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1)))) into (* 1/2 (log (* 2 (* n PI))))
1538655429.362 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (* 1/2 (log (* 2 (* n PI)))) 1)))) into (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI))))))
1538655429.362 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* n PI))) (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (* n PI))))
1538655429.363 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* n PI)))) in n
1538655429.363 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* n PI))) in n
1538655429.363 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.363 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.363 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* n PI)) in n
1538655429.363 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.363 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.363 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.363 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.363 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.363 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.363 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.363 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.363 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.363 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.363 * [misc]backup-simplify:  Simplify PI into PI
1538655429.364 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.364 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655429.364 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538655429.364 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.364 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.364 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.365 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538655429.365 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)))) into 0
1538655429.366 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow n 2) (pow PI 2)))
1538655429.367 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655429.368 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.369 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1538655429.371 * [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
1538655429.372 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538655429.372 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1538655429.374 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2))
1538655429.378 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1)) (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (/ (* 1/2 (log (* 2 (* n PI)))) 1)))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))
1538655429.382 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* n PI))) (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))
1538655429.382 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n
1538655429.382 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n
1538655429.382 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) in n
1538655429.382 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.382 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.382 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI))) in n
1538655429.382 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.382 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.382 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.383 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.383 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.383 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (* n PI)) in n
1538655429.383 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655429.383 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.383 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.383 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.383 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.383 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.383 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.383 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.383 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.383 * [misc]backup-simplify:  Simplify PI into PI
1538655429.383 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.384 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.384 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.384 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.385 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.385 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.385 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.385 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.385 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.385 * [misc]backup-simplify:  Simplify PI into PI
1538655429.385 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.385 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.385 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.385 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.385 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.385 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.385 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.385 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.385 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.385 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1538655429.385 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.385 * [misc]backup-simplify:  Simplify PI into PI
1538655429.386 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.386 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.387 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1538655429.387 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655429.387 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538655429.387 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655429.387 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.387 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.387 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.388 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1538655429.389 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655429.390 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655429.390 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655429.390 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.391 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.391 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.392 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* n PI)) (* +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (* (pow n 3) (pow PI 3)))
1538655429.392 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655429.393 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.394 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1538655429.396 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
1538655429.396 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538655429.397 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1538655429.398 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 3) 6)) (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log (* 2 (* n PI))) 3))
1538655429.402 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (* 1/48 (pow (log (* 2 (* n PI))) 3)) 1)) (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (/ (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1)) (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (/ (* 1/2 (log (* 2 (* n PI)))) 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3))))
1538655429.411 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (* +nan.0 (* n PI))) (* (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))))))))
1538655429.411 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))))) in n
1538655429.411 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))))))) in n
1538655429.411 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n
1538655429.411 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.411 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.411 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n
1538655429.411 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.411 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.411 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.412 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.412 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.412 * [misc]taylor:  Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n
1538655429.412 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1538655429.412 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.412 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.412 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.412 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1538655429.412 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.412 * [misc]backup-simplify:  Simplify PI into PI
1538655429.412 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))) in n
1538655429.412 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))))) in n
1538655429.412 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) in n
1538655429.412 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.412 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.412 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI))) in n
1538655429.413 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.413 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.413 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.413 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.413 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.413 * [misc]taylor:  Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* n PI)) in n
1538655429.413 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1538655429.413 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655429.413 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.413 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.413 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.413 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.413 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.413 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.413 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.413 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.413 * [misc]backup-simplify:  Simplify PI into PI
1538655429.414 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.414 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.415 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.415 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.416 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.417 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.417 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.417 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.417 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.417 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.417 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.417 * [misc]backup-simplify:  Simplify PI into PI
1538655429.417 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))) in n
1538655429.417 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))) in n
1538655429.417 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.417 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.417 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) in n
1538655429.417 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.417 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.417 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.417 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.418 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.418 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))) in n
1538655429.418 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655429.418 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.418 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.418 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.418 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.418 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.418 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.418 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.418 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.418 * [misc]backup-simplify:  Simplify PI into PI
1538655429.418 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.418 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.419 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.420 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.420 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.420 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1538655429.420 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1538655429.420 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.421 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.421 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.421 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1538655429.421 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.421 * [misc]backup-simplify:  Simplify PI into PI
1538655429.421 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.422 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.424 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1538655429.424 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.425 * [misc]backup-simplify:  Simplify (* (pow (+ (log n) (log (* 2 PI))) 2) 0) into 0
1538655429.425 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655429.425 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538655429.425 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655429.426 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.426 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655429.426 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.426 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.427 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.428 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.429 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655429.430 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655429.433 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655429.434 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) PI) (* 0 0)) into (+ (* PI (log (* 2 PI))) (* PI (log n)))
1538655429.436 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (+ (* PI (log (* 2 PI))) (* PI (log n)))) (* 0 0)) into (+ (* (sqrt 2) (* PI (log n))) (* (sqrt 2) (* PI (log (* 2 PI)))))
1538655429.437 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (+ (* (sqrt 2) (* PI (log n))) (* (sqrt 2) (* PI (log (* 2 PI)))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655429.439 * [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 0) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655429.441 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655429.445 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655429.446 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655429.447 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655429.448 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1538655429.450 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1538655429.450 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.450 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.450 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.452 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.452 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.456 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow n 2) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (* n PI)) (* +nan.0 (* (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (* (pow n 4) (pow PI 4)))
1538655429.457 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655429.459 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655429.460 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI)))))) into 0
1538655429.467 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (* n PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 (* n PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 (* n PI)) 1)))) 24) into 0
1538655429.468 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1538655429.469 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI)))))))) into 0
1538655429.474 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 4) 24)) (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow (log (* 2 (* n PI))) 4))
1538655429.483 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (* 1/384 (pow (log (* 2 (* n PI))) 4)) 1)) (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (/ (* 1/48 (pow (log (* 2 (* n PI))) 3)) 1)) (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (/ (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1)) (* (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) (/ (* 1/2 (log (* 2 (* n PI)))) 1)))) into (* 1/384 (* (sqrt 2) (pow (log (* 2 (* n PI))) 4)))
1538655429.498 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 4) (pow PI 4)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) (* +nan.0 (* n PI))) (* (* 1/384 (* (sqrt 2) (pow (log (* 2 (* n PI))) 4))) 0))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))))))))
1538655429.498 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))))) in n
1538655429.498 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))))))) in n
1538655429.498 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) in n
1538655429.498 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.498 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.498 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI))) in n
1538655429.498 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.498 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.498 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.498 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.499 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.499 * [misc]taylor:  Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 3) (* n PI)) in n
1538655429.499 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 3) in n
1538655429.499 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655429.499 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.499 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.499 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.499 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.499 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.499 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.499 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.499 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.499 * [misc]backup-simplify:  Simplify PI into PI
1538655429.499 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.500 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.500 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.501 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.502 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.502 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.502 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.503 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.503 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.503 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.503 * [misc]backup-simplify:  Simplify PI into PI
1538655429.503 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))))) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.503 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.503 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 4) (pow PI 4))) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.503 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.503 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.503 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.503 * [misc]taylor:  Taking taylor expansion of (* (pow n 4) (pow PI 4)) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of (pow n 4) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.503 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.503 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.503 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in n
1538655429.503 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.503 * [misc]backup-simplify:  Simplify PI into PI
1538655429.503 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.504 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.504 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2)))) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.504 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.504 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.504 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.504 * [misc]taylor:  Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.504 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.504 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.504 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.504 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.504 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.504 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.504 * [misc]backup-simplify:  Simplify PI into PI
1538655429.504 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.504 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.505 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.505 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.506 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.506 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.506 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1538655429.506 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1538655429.506 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.506 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.506 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.506 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1538655429.506 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.506 * [misc]backup-simplify:  Simplify PI into PI
1538655429.506 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))) in n
1538655429.506 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))) in n
1538655429.506 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.506 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.506 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))) in n
1538655429.506 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.506 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.506 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.507 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.507 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.507 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))) in n
1538655429.507 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655429.507 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.507 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.507 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.507 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.507 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.507 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.507 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.507 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.507 * [misc]backup-simplify:  Simplify PI into PI
1538655429.507 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.507 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.508 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.508 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.508 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.508 * [misc]taylor:  Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n
1538655429.508 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1538655429.509 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.509 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.509 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.509 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1538655429.509 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.509 * [misc]backup-simplify:  Simplify PI into PI
1538655429.509 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.510 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.510 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.511 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1538655429.512 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (pow (+ (log n) (log (* 2 PI))) 2)) into (pow (+ (log n) (log (* 2 PI))) 3)
1538655429.512 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.513 * [misc]backup-simplify:  Simplify (* (pow (+ (log n) (log (* 2 PI))) 3) 0) into 0
1538655429.513 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655429.513 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538655429.513 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655429.513 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.513 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.514 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.514 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.515 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655429.516 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655429.518 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655429.518 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655429.519 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538655429.521 * [misc]backup-simplify:  Simplify (+ (* (pow (+ (log n) (log (* 2 PI))) 2) PI) (* 0 0)) into (+ (* 2 (* PI (* (log n) (log (* 2 PI))))) (+ (* PI (pow (log (* 2 PI)) 2)) (* PI (pow (log n) 2))))
1538655429.524 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (+ (* 2 (* PI (* (log n) (log (* 2 PI))))) (+ (* PI (pow (log (* 2 PI)) 2)) (* PI (pow (log n) 2))))) (* 0 0)) into (+ (* (sqrt 2) (* PI (pow (log n) 2))) (+ (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2))) (* 2 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))
1538655429.528 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (+ (* (sqrt 2) (* PI (pow (log n) 2))) (+ (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2))) (* 2 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))
1538655429.536 * [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 0) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))
1538655429.546 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))
1538655429.557 * [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))
1538655429.564 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))
1538655429.570 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))
1538655429.580 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) (* n (pow k 2))) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* n (* PI (pow k 2)))))) (- (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI (* (log n) (pow k 2))))))))))))))))))
1538655429.580 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 k))) (/ (sqrt (* (* 2 (/ 1 n)) PI)) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2)))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n)))
1538655429.580 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (k n) around 0
1538655429.580 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1538655429.580 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1538655429.580 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.580 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.580 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.581 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.581 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.581 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1538655429.581 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1538655429.581 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1538655429.581 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1538655429.581 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655429.581 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.581 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.581 * [misc]backup-simplify:  Simplify k into k
1538655429.581 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1538655429.581 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655429.581 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.581 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.581 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.581 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.581 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.581 * [misc]backup-simplify:  Simplify PI into PI
1538655429.581 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.581 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.581 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.581 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.582 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.582 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.583 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655429.583 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655429.584 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655429.585 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655429.585 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1538655429.585 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1538655429.585 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1538655429.585 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.585 * [misc]backup-simplify:  Simplify PI into PI
1538655429.585 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.585 * [misc]backup-simplify:  Simplify k into k
1538655429.585 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.585 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.585 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.585 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1538655429.585 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1538655429.586 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.586 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1538655429.586 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k
1538655429.586 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k
1538655429.586 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655429.586 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.586 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.586 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.586 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.586 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k
1538655429.587 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k
1538655429.587 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k
1538655429.587 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in k
1538655429.587 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655429.587 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.587 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.587 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.587 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.587 * [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
1538655429.587 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538655429.587 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538655429.587 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.587 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.587 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655429.587 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.587 * [misc]backup-simplify:  Simplify PI into PI
1538655429.587 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.587 * [misc]backup-simplify:  Simplify n into n
1538655429.587 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.587 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538655429.588 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538655429.588 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
1538655429.588 * [misc]backup-simplify:  Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
1538655429.589 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))
1538655429.589 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1538655429.589 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1538655429.589 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1538655429.589 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.589 * [misc]backup-simplify:  Simplify PI into PI
1538655429.589 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.589 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.589 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.589 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.589 * [misc]backup-simplify:  Simplify n into n
1538655429.589 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538655429.590 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538655429.590 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.591 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.591 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1538655429.591 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k
1538655429.591 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k
1538655429.591 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655429.591 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.591 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.591 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.592 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.592 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k
1538655429.592 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k
1538655429.592 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k
1538655429.592 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in k
1538655429.592 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655429.592 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.592 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.592 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.592 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.592 * [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
1538655429.592 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538655429.592 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538655429.592 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655429.592 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.592 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655429.592 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.592 * [misc]backup-simplify:  Simplify PI into PI
1538655429.592 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.592 * [misc]backup-simplify:  Simplify n into n
1538655429.593 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.593 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538655429.593 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538655429.593 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
1538655429.593 * [misc]backup-simplify:  Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
1538655429.594 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))
1538655429.594 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1538655429.594 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1538655429.594 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1538655429.594 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.594 * [misc]backup-simplify:  Simplify PI into PI
1538655429.594 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.594 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.594 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.594 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.594 * [misc]backup-simplify:  Simplify n into n
1538655429.594 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538655429.595 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538655429.595 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.595 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.595 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1538655429.596 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 0) into 0
1538655429.596 * [misc]taylor:  Taking taylor expansion of 0 in n
1538655429.596 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.596 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0
1538655429.597 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (* +nan.0 (/ PI n))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n))))
1538655429.597 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n)))) in n
1538655429.597 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n))) in n
1538655429.597 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.597 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.597 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n)) in n
1538655429.597 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in n
1538655429.597 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.597 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.597 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.597 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.597 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.597 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.597 * [misc]backup-simplify:  Simplify PI into PI
1538655429.597 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) in n
1538655429.597 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n
1538655429.598 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n
1538655429.598 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655429.598 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.598 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1538655429.598 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655429.598 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.598 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.598 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.598 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.598 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.598 * [misc]backup-simplify:  Simplify PI into PI
1538655429.598 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.598 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.598 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.598 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.598 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.599 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.599 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.599 * [misc]backup-simplify:  Simplify k into k
1538655429.599 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655429.600 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655429.600 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1538655429.601 * [misc]backup-simplify:  Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655429.601 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655429.601 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.601 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.601 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.601 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1538655429.602 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0
1538655429.603 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.603 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655429.605 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655429.606 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1538655429.607 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1538655429.608 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655429.608 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655429.609 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655429.610 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1538655429.611 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655429.612 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655429.612 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.612 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1538655429.612 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1538655429.613 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI n)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow n 2)))
1538655429.614 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655429.615 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0
1538655429.616 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)))))
1538655429.616 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2))))) in n
1538655429.616 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)))) in n
1538655429.616 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.616 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.616 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2))) in n
1538655429.616 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n
1538655429.616 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.616 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.616 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.616 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.617 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.617 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.617 * [misc]backup-simplify:  Simplify PI into PI
1538655429.617 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655429.617 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.617 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.617 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.617 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.617 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.617 * [misc]backup-simplify:  Simplify PI into PI
1538655429.617 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.617 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.617 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.617 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.617 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.618 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.618 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.618 * [misc]backup-simplify:  Simplify k into k
1538655429.618 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655429.619 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655429.619 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1538655429.620 * [misc]backup-simplify:  Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655429.621 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655429.621 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1538655429.621 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.621 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.621 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.621 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655429.622 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1538655429.622 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655429.623 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655429.625 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655429.626 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1538655429.627 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1538655429.627 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655429.629 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.629 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655429.632 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655429.633 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1538655429.634 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1538655429.636 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655429.637 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 1)) into 0
1538655429.641 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655429.643 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1538655429.643 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.643 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.644 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1538655429.644 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.645 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.649 * [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
1538655429.649 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655429.650 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0
1538655429.651 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655429.652 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0
1538655429.654 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655429.654 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1538655429.655 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.655 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.655 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.655 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538655429.655 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
1538655429.659 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ PI n)) (* +nan.0 (/ (pow PI 2) (pow n 2))))))) (* 2 0)) into (* +nan.0 (/ (pow PI 3) (pow n 3)))
1538655429.659 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655429.660 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0
1538655429.662 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (* +nan.0 (/ (pow PI 3) (pow n 3)))) (+ (* 0 (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)))))
1538655429.662 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3))))) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)))) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.662 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.662 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3))) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.662 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.662 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655429.662 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655429.662 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.662 * [misc]backup-simplify:  Simplify PI into PI
1538655429.662 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n
1538655429.662 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655429.662 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655429.663 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1538655429.663 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655429.663 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.663 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.663 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.663 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.663 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.663 * [misc]backup-simplify:  Simplify PI into PI
1538655429.663 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.663 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.663 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.663 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.663 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.663 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655429.663 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.663 * [misc]backup-simplify:  Simplify k into k
1538655429.664 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655429.664 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655429.665 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1538655429.665 * [misc]backup-simplify:  Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655429.666 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655429.666 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1538655429.666 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.666 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.666 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.666 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655429.666 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1538655429.667 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1538655429.667 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655429.667 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655429.668 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655429.669 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655429.669 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.670 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1538655429.671 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1538655429.672 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0
1538655429.674 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655429.675 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
1538655429.675 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1538655429.676 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655429.676 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1538655429.676 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.677 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655429.679 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655429.679 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1538655429.680 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1538655429.681 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655429.681 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655429.682 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.683 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.687 * [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
1538655429.687 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655429.688 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0
1538655429.689 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655429.690 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0
1538655429.691 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0
1538655429.691 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 1)) into 0
1538655429.693 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655429.696 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655429.697 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655429.697 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.697 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.698 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.699 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655429.700 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1538655429.700 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1538655429.701 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.702 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.705 * [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
1538655429.706 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655429.706 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0
1538655429.708 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655429.708 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0
1538655429.711 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655429.713 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655429.713 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655429.713 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.715 * [misc]backup-simplify:  Simplify (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (sqrt 2) (* n PI)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)))
1538655429.715 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2)))) into (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))))
1538655429.716 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (k n) around 0
1538655429.716 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1538655429.716 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1538655429.716 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.716 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.716 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.716 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.716 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.716 * [misc]backup-simplify:  Simplify PI into PI
1538655429.716 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.716 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.716 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.716 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.717 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.717 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.717 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655429.718 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1538655429.718 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655429.718 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.718 * [misc]backup-simplify:  Simplify k into k
1538655429.718 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1538655429.718 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.718 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.718 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.718 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.718 * [misc]backup-simplify:  Simplify PI into PI
1538655429.718 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.718 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.718 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.718 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.719 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.719 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655429.720 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655429.721 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1538655429.721 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655429.722 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655429.722 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655429.722 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655429.722 * [misc]backup-simplify:  Simplify -1 into -1
1538655429.722 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.722 * [misc]backup-simplify:  Simplify k into k
1538655429.722 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655429.722 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655429.722 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655429.722 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655429.723 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1538655429.724 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))
1538655429.724 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k
1538655429.724 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k
1538655429.724 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655429.724 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655429.724 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.724 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655429.724 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.724 * [misc]backup-simplify:  Simplify PI into PI
1538655429.724 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.724 * [misc]backup-simplify:  Simplify n into n
1538655429.725 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.725 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655429.725 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1538655429.725 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1538655429.725 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0
1538655429.726 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1538655429.726 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655429.726 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655429.726 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.726 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.726 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.726 * [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
1538655429.726 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655429.726 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.726 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655429.726 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.726 * [misc]backup-simplify:  Simplify PI into PI
1538655429.726 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.726 * [misc]backup-simplify:  Simplify n into n
1538655429.727 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.727 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655429.727 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538655429.727 * [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
1538655429.727 * [misc]backup-simplify:  Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
1538655429.727 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655429.728 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655429.728 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655429.728 * [misc]backup-simplify:  Simplify -1 into -1
1538655429.728 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.728 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.728 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.728 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655429.728 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.729 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655429.729 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0
1538655429.729 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655429.730 * [misc]backup-simplify:  Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655429.730 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k
1538655429.730 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k
1538655429.730 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655429.730 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655429.730 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.730 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655429.730 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.730 * [misc]backup-simplify:  Simplify PI into PI
1538655429.730 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.730 * [misc]backup-simplify:  Simplify n into n
1538655429.730 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.730 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655429.731 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1538655429.731 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1538655429.731 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0
1538655429.732 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1538655429.732 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655429.732 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655429.732 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.732 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.732 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.732 * [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
1538655429.732 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655429.732 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.732 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655429.732 * [misc]taylor:  Taking taylor expansion of PI in k
1538655429.732 * [misc]backup-simplify:  Simplify PI into PI
1538655429.732 * [misc]taylor:  Taking taylor expansion of n in k
1538655429.732 * [misc]backup-simplify:  Simplify n into n
1538655429.732 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655429.733 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655429.733 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538655429.733 * [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
1538655429.733 * [misc]backup-simplify:  Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
1538655429.734 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655429.734 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655429.734 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655429.734 * [misc]backup-simplify:  Simplify -1 into -1
1538655429.734 * [misc]taylor:  Taking taylor expansion of k in k
1538655429.734 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.734 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.734 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655429.734 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.735 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655429.735 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0
1538655429.736 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655429.736 * [misc]backup-simplify:  Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655429.736 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) in n
1538655429.736 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.736 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.737 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) in n
1538655429.737 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1538655429.737 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.737 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.737 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.737 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.737 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.737 * [misc]backup-simplify:  Simplify PI into PI
1538655429.737 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.737 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.737 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.737 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.738 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.738 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.738 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655429.738 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n
1538655429.739 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n
1538655429.739 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1538655429.739 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655429.739 * [misc]taylor:  Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n
1538655429.739 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655429.739 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.739 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.739 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.739 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.739 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.739 * [misc]backup-simplify:  Simplify PI into PI
1538655429.739 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.739 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.739 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.739 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.740 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.740 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655429.740 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.740 * [misc]backup-simplify:  Simplify k into k
1538655429.741 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655429.742 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655429.742 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k)
1538655429.743 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1538655429.744 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655429.745 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655429.746 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655429.746 * [misc]backup-simplify:  Simplify (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655429.747 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538655429.748 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655429.749 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655429.750 * [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) (+ (* (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))))))) into (- (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))))
1538655429.751 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) in n
1538655429.751 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) in n
1538655429.751 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538655429.751 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655429.751 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) in n
1538655429.751 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1538655429.751 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.751 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.751 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.751 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.751 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.751 * [misc]backup-simplify:  Simplify PI into PI
1538655429.751 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.751 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.751 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.751 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.752 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.752 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655429.753 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1538655429.753 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n
1538655429.753 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n
1538655429.753 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1538655429.753 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655429.753 * [misc]taylor:  Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n
1538655429.753 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655429.753 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.753 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.753 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.753 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.753 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.753 * [misc]backup-simplify:  Simplify PI into PI
1538655429.753 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.753 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.753 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.753 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.754 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.754 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655429.754 * [misc]taylor:  Taking taylor expansion of k in n
1538655429.754 * [misc]backup-simplify:  Simplify k into k
1538655429.755 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655429.756 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655429.756 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k)
1538655429.757 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1538655429.758 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655429.759 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655429.759 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655429.760 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655429.761 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655429.762 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.765 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655429.767 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538655429.768 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.769 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655429.772 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538655429.773 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0
1538655429.774 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0
1538655429.775 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655429.778 * [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (pow PI 2)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655429.781 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655429.783 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655429.787 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
1538655429.787 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1)
1538655429.788 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538655429.788 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538655429.788 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.788 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.788 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.788 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.788 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.788 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.788 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.788 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.788 * [misc]backup-simplify:  Simplify PI into PI
1538655429.788 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.788 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.788 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.788 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.788 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.788 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.788 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.788 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.788 * [misc]backup-simplify:  Simplify PI into PI
1538655429.788 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.789 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.789 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.789 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.790 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.790 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.791 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655429.792 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655429.792 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.795 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.796 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655429.796 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.798 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655429.800 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655429.800 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.803 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655429.805 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538655429.805 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.808 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655429.812 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538655429.812 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.816 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538655429.820 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538655429.820 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.820 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538655429.820 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538655429.820 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538655429.820 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.820 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.821 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.821 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.821 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.821 * [misc]backup-simplify:  Simplify PI into PI
1538655429.821 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.821 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.821 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.821 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.821 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.821 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.821 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.821 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.821 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.821 * [misc]backup-simplify:  Simplify PI into PI
1538655429.822 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.822 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.822 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.822 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.822 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.823 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.824 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.824 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655429.824 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.826 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.827 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.827 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.828 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.830 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.830 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.832 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.834 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655429.834 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.836 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.839 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655429.839 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.841 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.844 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655429.844 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.844 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538655429.844 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538655429.844 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538655429.844 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.845 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.845 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.845 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.845 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.845 * [misc]backup-simplify:  Simplify PI into PI
1538655429.845 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.845 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.845 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.845 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.845 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.845 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.845 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.845 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.845 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.845 * [misc]backup-simplify:  Simplify PI into PI
1538655429.845 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.845 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.845 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.845 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.845 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.846 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.846 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.847 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655429.847 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.848 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.848 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.848 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.849 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.850 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.851 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.852 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.853 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655429.853 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.855 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.857 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655429.857 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.858 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.860 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655429.860 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.861 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538655429.861 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1)
1538655429.861 * [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
1538655429.861 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538655429.861 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.861 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.861 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.861 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.861 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.861 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.861 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.861 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.861 * [misc]backup-simplify:  Simplify PI into PI
1538655429.861 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655429.861 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.861 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.862 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655429.862 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.862 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.862 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.862 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.862 * [misc]backup-simplify:  Simplify PI into PI
1538655429.862 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655429.862 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655429.862 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.863 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655429.863 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655429.863 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.864 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655429.865 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655429.865 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.866 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.867 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655429.867 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.868 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655429.869 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655429.869 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.871 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655429.873 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538655429.873 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.875 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655429.877 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538655429.877 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.881 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538655429.884 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538655429.884 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.884 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538655429.884 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n))
1538655429.884 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538655429.884 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.884 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.884 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.884 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.884 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.885 * [misc]backup-simplify:  Simplify PI into PI
1538655429.885 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.885 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.885 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.885 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.885 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655429.885 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655429.885 * [misc]backup-simplify:  Simplify 2 into 2
1538655429.885 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.885 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.885 * [misc]backup-simplify:  Simplify PI into PI
1538655429.885 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.885 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.885 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.885 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.886 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.886 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655429.887 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.888 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655429.888 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.889 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.889 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.889 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.890 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.891 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.891 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.893 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.894 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655429.894 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.895 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.897 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655429.897 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.899 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.901 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655429.901 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.901 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538655429.901 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n))
1538655429.901 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538655429.901 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.901 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.901 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.901 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.901 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.901 * [misc]backup-simplify:  Simplify PI into PI
1538655429.901 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.901 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.901 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.902 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.902 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655429.902 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655429.902 * [misc]backup-simplify:  Simplify -2 into -2
1538655429.902 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655429.902 * [misc]taylor:  Taking taylor expansion of PI in n
1538655429.902 * [misc]backup-simplify:  Simplify PI into PI
1538655429.902 * [misc]taylor:  Taking taylor expansion of n in n
1538655429.902 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.902 * [misc]backup-simplify:  Simplify 1 into 1
1538655429.902 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655429.902 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.902 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655429.903 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655429.904 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655429.904 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.905 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.905 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655429.906 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.907 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.908 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655429.908 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.909 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.910 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655429.910 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.911 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.913 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655429.913 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.915 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655429.917 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655429.917 * [misc]backup-simplify:  Simplify 0 into 0
1538655429.917 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538655429.917 * * * [misc]progress:  simplifying candidates
1538655429.917 * * * * [misc]progress:  [ 1 / 101 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.917 * * * * [misc]progress:  [ 2 / 101 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.917 * * * * [misc]progress:  [ 3 / 101 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.917 * * * * [misc]progress:  [ 4 / 101 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.918 * [enter]simplify:  Simplifying (- 1/2)
1538655429.918 * * [misc]simplify:  iters left: 2 (2 enodes)
1538655429.919 * * [misc]simplify:  iters left: 1 (3 enodes)
1538655429.919 * [exit]simplify:  Simplified to -1/2
1538655429.919 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655429.919 * * * * [misc]progress:  [ 5 / 101 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.919 * [enter]simplify:  Simplifying (- 1)
1538655429.920 * * [misc]simplify:  iters left: 2 (2 enodes)
1538655429.921 * * [misc]simplify:  iters left: 1 (5 enodes)
1538655429.921 * [exit]simplify:  Simplified to -1
1538655429.921 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655429.921 * * * * [misc]progress:  [ 6 / 101 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 7 / 101 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 8 / 101 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 9 / 101 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 10 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 11 / 101 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 12 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 13 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 14 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 15 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.921 * * * * [misc]progress:  [ 16 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.922 * * * * [misc]progress:  [ 17 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.922 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1538655429.922 * * [misc]simplify:  iters left: 2 (3 enodes)
1538655429.923 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1538655429.923 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655429.923 * * * * [misc]progress:  [ 18 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.923 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538655429.923 * * [misc]simplify:  iters left: 2 (3 enodes)
1538655429.924 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538655429.924 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655429.924 * * * * [misc]progress:  [ 19 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655429.924 * [enter]simplify:  Simplifying (sqrt k)
1538655429.924 * * [misc]simplify:  iters left: 1 (2 enodes)
1538655429.924 * [exit]simplify:  Simplified to (sqrt k)
1538655429.924 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655429.924 * * * * [misc]progress:  [ 20 / 101 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655429.924 * * * * [misc]progress:  [ 21 / 101 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655429.924 * * * * [misc]progress:  [ 22 / 101 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) 1))>
1538655429.925 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))
1538655429.926 * * [misc]simplify:  iters left: 6 (16 enodes)
1538655429.930 * * [misc]simplify:  iters left: 5 (28 enodes)
1538655429.936 * * [misc]simplify:  iters left: 4 (44 enodes)
1538655429.946 * * [misc]simplify:  iters left: 3 (70 enodes)
1538655429.973 * * [misc]simplify:  iters left: 2 (105 enodes)
1538655429.994 * * [misc]simplify:  iters left: 1 (151 enodes)
1538655430.091 * [exit]simplify:  Simplified to (/ (sqrt (* n (* PI 2))) (* (pow (* n (* PI 2)) (/ k 2)) (sqrt k)))
1538655430.091 * [misc]simplify:  Simplified (2 1) to (λ (k n) (pow (/ (sqrt (* n (* PI 2))) (* (pow (* n (* PI 2)) (/ k 2)) (sqrt k))) 1))
1538655430.091 * * * * [misc]progress:  [ 23 / 101 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) 1))>
1538655430.091 * * * * [misc]progress:  [ 24 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655430.091 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))
1538655430.092 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655430.097 * * [misc]simplify:  iters left: 5 (34 enodes)
1538655430.106 * * [misc]simplify:  iters left: 4 (69 enodes)
1538655430.129 * * [misc]simplify:  iters left: 3 (175 enodes)
1538655430.200 * * [misc]simplify:  iters left: 2 (408 enodes)
1538655430.513 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI n) 2))) (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))))
1538655430.513 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI n) 2))) (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))))))
1538655430.514 * * * * [misc]progress:  [ 25 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655430.514 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))
1538655430.519 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655430.529 * * [misc]simplify:  iters left: 5 (34 enodes)
1538655430.548 * * [misc]simplify:  iters left: 4 (69 enodes)
1538655430.596 * * [misc]simplify:  iters left: 3 (175 enodes)
1538655430.664 * * [misc]simplify:  iters left: 2 (408 enodes)
1538655431.050 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI n) 2))) (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))))
1538655431.051 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI n) 2))) (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))))))
1538655431.051 * * * * [misc]progress:  [ 26 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (log (pow (* PI (* n 2)) (/ k 2)))))))>
1538655431.051 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (log (pow (* PI (* n 2)) (/ k 2)))))
1538655431.053 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655431.061 * * [misc]simplify:  iters left: 5 (30 enodes)
1538655431.077 * * [misc]simplify:  iters left: 4 (58 enodes)
1538655431.114 * * [misc]simplify:  iters left: 3 (164 enodes)
1538655431.270 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))))
1538655431.270 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))))))
1538655431.270 * * * * [misc]progress:  [ 27 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655431.270 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (log (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655431.272 * * [misc]simplify:  iters left: 6 (17 enodes)
1538655431.276 * * [misc]simplify:  iters left: 5 (26 enodes)
1538655431.281 * * [misc]simplify:  iters left: 4 (39 enodes)
1538655431.291 * * [misc]simplify:  iters left: 3 (75 enodes)
1538655431.318 * * [misc]simplify:  iters left: 2 (211 enodes)
1538655431.599 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k))))
1538655431.600 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k))))))
1538655431.600 * * * * [misc]progress:  [ 28 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655431.600 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))
1538655431.603 * * [misc]simplify:  iters left: 6 (19 enodes)
1538655431.614 * * [misc]simplify:  iters left: 5 (41 enodes)
1538655431.635 * * [misc]simplify:  iters left: 4 (76 enodes)
1538655431.684 * * [misc]simplify:  iters left: 3 (195 enodes)
1538655431.821 * * [misc]simplify:  iters left: 2 (495 enodes)
1538655432.323 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k))))
1538655432.323 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k))))))
1538655432.323 * * * * [misc]progress:  [ 29 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655432.323 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (* (log (* PI (* n 2))) (/ k 2))))
1538655432.326 * * [misc]simplify:  iters left: 6 (19 enodes)
1538655432.337 * * [misc]simplify:  iters left: 5 (41 enodes)
1538655432.358 * * [misc]simplify:  iters left: 4 (76 enodes)
1538655432.397 * * [misc]simplify:  iters left: 3 (195 enodes)
1538655432.486 * * [misc]simplify:  iters left: 2 (495 enodes)
1538655432.999 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k))))
1538655432.999 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k))))))
1538655432.999 * * * * [misc]progress:  [ 30 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (log (pow (* PI (* n 2)) (/ k 2)))))))>
1538655433.000 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (- (log (sqrt (* (* 2 n) PI))) (log (pow (* PI (* n 2)) (/ k 2)))))
1538655433.001 * * [misc]simplify:  iters left: 6 (19 enodes)
1538655433.006 * * [misc]simplify:  iters left: 5 (37 enodes)
1538655433.020 * * [misc]simplify:  iters left: 4 (66 enodes)
1538655433.059 * * [misc]simplify:  iters left: 3 (184 enodes)
1538655433.280 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))))
1538655433.280 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))))))
1538655433.280 * * * * [misc]progress:  [ 31 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655433.281 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (log (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655433.282 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655433.288 * * [misc]simplify:  iters left: 5 (33 enodes)
1538655433.295 * * [misc]simplify:  iters left: 4 (46 enodes)
1538655433.311 * * [misc]simplify:  iters left: 3 (89 enodes)
1538655433.357 * * [misc]simplify:  iters left: 2 (255 enodes)
1538655433.629 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))))
1538655433.629 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k))))))
1538655433.629 * * * * [misc]progress:  [ 32 / 101 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655433.629 * * * * [misc]progress:  [ 33 / 101 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655433.629 * * * * [misc]progress:  [ 34 / 101 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655433.629 * [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))
1538655433.632 * * [misc]simplify:  iters left: 6 (22 enodes)
1538655433.640 * * [misc]simplify:  iters left: 5 (49 enodes)
1538655433.664 * * [misc]simplify:  iters left: 4 (176 enodes)
1538655434.007 * [exit]simplify:  Simplified to (* (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) (/ (* (* (/ 1 (sqrt k)) (* (* PI n) 2)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))) (* (pow (* (* PI n) 2) (/ k 2)) (pow (* (* PI n) 2) (/ k 2)))))
1538655434.007 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) (/ (* (* (/ 1 (sqrt k)) (* (* PI n) 2)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))) (* (pow (* (* PI n) 2) (/ k 2)) (pow (* (* PI n) 2) (/ k 2)))))))
1538655434.007 * * * * [misc]progress:  [ 35 / 101 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655434.008 * [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655434.010 * * [misc]simplify:  iters left: 6 (20 enodes)
1538655434.022 * * [misc]simplify:  iters left: 5 (46 enodes)
1538655434.048 * * [misc]simplify:  iters left: 4 (127 enodes)
1538655434.104 * * [misc]simplify:  iters left: 3 (321 enodes)
1538655434.597 * [exit]simplify:  Simplified to (/ (* (/ (* 2 (* PI n)) (pow (* 2 (* PI n)) (/ k 2))) (* (/ (/ 1 (sqrt k)) (* (sqrt k) (sqrt k))) (sqrt (* 2 (* PI n))))) (* (pow (* 2 (* PI n)) (/ k 2)) (pow (* 2 (* PI n)) (/ k 2))))
1538655434.597 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (* 2 (* PI n)) (pow (* 2 (* PI n)) (/ k 2))) (* (/ (/ 1 (sqrt k)) (* (sqrt k) (sqrt k))) (sqrt (* 2 (* PI n))))) (* (pow (* 2 (* PI n)) (/ k 2)) (pow (* 2 (* PI n)) (/ k 2))))))
1538655434.597 * * * * [misc]progress:  [ 36 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) (cbrt (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) (cbrt (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655434.597 * * * * [misc]progress:  [ 37 / 101 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655434.597 * * * * [misc]progress:  [ 38 / 101 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655434.597 * * * * [misc]progress:  [ 39 / 101 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655434.597 * [enter]simplify:  Simplifying (* 1 (sqrt (* (* 2 n) PI)))
1538655434.598 * * [misc]simplify:  iters left: 6 (8 enodes)
1538655434.602 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655434.609 * * [misc]simplify:  iters left: 4 (23 enodes)
1538655434.615 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.618 * [exit]simplify:  Simplified to (sqrt (* (* 2 PI) n))
1538655434.618 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 PI) n)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655434.618 * [enter]simplify:  Simplifying (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))
1538655434.619 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655434.621 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655434.624 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655434.628 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655434.632 * [exit]simplify:  Simplified to (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))
1538655434.632 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (sqrt (* (* 2 PI) n)) (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))))
1538655434.632 * * * * [misc]progress:  [ 40 / 101 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.632 * * * * [misc]progress:  [ 41 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.632 * [enter]simplify:  Simplifying (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))
1538655434.633 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655434.636 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655434.639 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655434.642 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.646 * [exit]simplify:  Simplified to (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))
1538655434.646 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))))
1538655434.646 * * * * [misc]progress:  [ 42 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.647 * [enter]simplify:  Simplifying (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))
1538655434.649 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655434.652 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655434.655 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655434.659 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.663 * [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))
1538655434.663 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))))
1538655434.663 * * * * [misc]progress:  [ 43 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (pow PI (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* n 2) (/ k 2)))))>
1538655434.663 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* n 2) (/ k 2)))
1538655434.664 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655434.667 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655434.669 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655434.673 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655434.676 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (pow (* 2 n) (/ k 2)))
1538655434.676 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (pow PI (/ k 2)))) (/ (cbrt (sqrt (* (* PI n) 2))) (pow (* 2 n) (/ k 2)))))
1538655434.676 * * * * [misc]progress:  [ 44 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.677 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.678 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655434.682 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655434.689 * * [misc]simplify:  iters left: 4 (23 enodes)
1538655434.696 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.704 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* 2 (* PI n)))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))
1538655434.704 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt (* 2 (* PI n)))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))))
1538655434.704 * * * * [misc]progress:  [ 45 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.704 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.706 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655434.711 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655434.718 * * [misc]simplify:  iters left: 4 (23 enodes)
1538655434.725 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.733 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* 2 (* PI n)))) (sqrt (pow (* 2 (* PI n)) (/ k 2))))
1538655434.733 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (cbrt (sqrt (* 2 (* PI n)))) (sqrt (pow (* 2 (* PI n)) (/ k 2))))))
1538655434.733 * * * * [misc]progress:  [ 46 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655434.733 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))
1538655434.734 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655434.737 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655434.742 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655434.745 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.749 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))
1538655434.749 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))))
1538655434.749 * * * * [misc]progress:  [ 47 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) (pow PI (/ k 2)))) (/ (sqrt PI) (pow (* n 2) (/ k 2)))))>
1538655434.750 * [enter]simplify:  Simplifying (/ (sqrt PI) (pow (* n 2) (/ k 2)))
1538655434.750 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655434.752 * * [misc]simplify:  iters left: 4 (10 enodes)
1538655434.754 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow (* n 2) (/ k 2)))
1538655434.754 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) (pow PI (/ k 2)))) (/ (sqrt PI) (pow (* n 2) (/ k 2)))))
1538655434.754 * * * * [misc]progress:  [ 48 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt PI) (cbrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.754 * [enter]simplify:  Simplifying (/ (sqrt PI) (cbrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.755 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655434.757 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655434.760 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655434.763 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655434.767 * [exit]simplify:  Simplified to (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2))))
1538655434.767 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2))))))
1538655434.767 * * * * [misc]progress:  [ 49 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt PI) (sqrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.767 * [enter]simplify:  Simplifying (/ (sqrt PI) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.768 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655434.770 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655434.774 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655434.781 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655434.789 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (pow (* (* n 2) PI) (/ k 2))))
1538655434.789 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt PI) (sqrt (pow (* (* n 2) PI) (/ k 2))))))
1538655434.789 * * * * [misc]progress:  [ 50 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) 1)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655434.789 * [enter]simplify:  Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))
1538655434.790 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655434.795 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655434.800 * * [misc]simplify:  iters left: 4 (20 enodes)
1538655434.807 * * [misc]simplify:  iters left: 3 (21 enodes)
1538655434.815 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))
1538655434.815 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (* 2 n)) 1)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))))
1538655434.815 * * * * [misc]progress:  [ 51 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* n 2) (/ k 2)))))>
1538655434.815 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* n 2) (/ k 2)))
1538655434.816 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655434.821 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655434.828 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655434.835 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655434.845 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (pow (* 2 n) (/ k 2)))
1538655434.845 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2)))) (/ (sqrt (sqrt (* (* PI n) 2))) (pow (* 2 n) (/ k 2)))))
1538655434.845 * * * * [misc]progress:  [ 52 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.846 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.847 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655434.853 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655434.859 * * [misc]simplify:  iters left: 4 (23 enodes)
1538655434.867 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.875 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))
1538655434.875 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt (* 2 (* PI n)))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))))
1538655434.875 * * * * [misc]progress:  [ 53 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.876 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.877 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655434.883 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655434.890 * * [misc]simplify:  iters left: 4 (23 enodes)
1538655434.898 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.907 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt (pow (* 2 (* PI n)) (/ k 2))))
1538655434.907 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt (pow (* 2 (* PI n)) (/ k 2))))))
1538655434.907 * * * * [misc]progress:  [ 54 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) 1)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655434.907 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))
1538655434.909 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655434.914 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655434.920 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655434.924 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.928 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))
1538655434.928 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) 1)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2)))))
1538655434.928 * * * * [misc]progress:  [ 55 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 (pow PI (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (pow (* n 2) (/ k 2)))))>
1538655434.928 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* n 2) (/ k 2)))
1538655434.929 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655434.931 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655434.934 * * [misc]simplify:  iters left: 4 (20 enodes)
1538655434.937 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655434.941 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (pow (* 2 n) (/ k 2)))
1538655434.941 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 (pow PI (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (pow (* 2 n) (/ k 2)))))
1538655434.941 * * * * [misc]progress:  [ 56 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.941 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.942 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655434.946 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655434.949 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655434.953 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.957 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1538655434.957 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1538655434.957 * * * * [misc]progress:  [ 57 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655434.957 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1538655434.958 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655434.961 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655434.965 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655434.972 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655434.980 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1538655434.980 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1538655434.980 * * * * [misc]progress:  [ 58 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 1)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655434.980 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))
1538655434.981 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655434.984 * * [misc]simplify:  iters left: 5 (17 enodes)
1538655434.987 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655434.991 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655434.995 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2)))
1538655434.995 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ 1 1)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2)))))
1538655434.995 * * * * [misc]progress:  [ 59 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655434.995 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))
1538655434.996 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655434.999 * * [misc]simplify:  iters left: 5 (17 enodes)
1538655435.002 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655435.005 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655435.009 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2)))
1538655435.009 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2)))))
1538655435.009 * * * * [misc]progress:  [ 60 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.009 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) (/ k 2)))
1538655435.010 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655435.012 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655435.015 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655435.024 * * [misc]simplify:  iters left: 3 (23 enodes)
1538655435.031 * [exit]simplify:  Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2)))
1538655435.031 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (* (* 2 n) PI))) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))
1538655435.031 * * * * [misc]progress:  [ 61 / 101 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))>
1538655435.032 * [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1538655435.032 * * [misc]simplify:  iters left: 6 (6 enodes)
1538655435.034 * * [misc]simplify:  iters left: 5 (8 enodes)
1538655435.037 * [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1538655435.037 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))
1538655435.037 * * * * [misc]progress:  [ 62 / 101 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))>
1538655435.037 * [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
1538655435.038 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655435.040 * * [misc]simplify:  iters left: 3 (7 enodes)
1538655435.042 * [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
1538655435.042 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))
1538655435.042 * * * * [misc]progress:  [ 63 / 101 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))>
1538655435.042 * * * * [misc]progress:  [ 64 / 101 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))))>
1538655435.042 * * * * [misc]progress:  [ 65 / 101 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))>
1538655435.043 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538655435.043 * * [misc]simplify:  iters left: 5 (8 enodes)
1538655435.047 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655435.052 * * [misc]simplify:  iters left: 3 (18 enodes)
1538655435.055 * * [misc]simplify:  iters left: 2 (20 enodes)
1538655435.058 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538655435.058 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))
1538655435.058 * * * * [misc]progress:  [ 66 / 101 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))>
1538655435.058 * [enter]simplify:  Simplifying (* 1 (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))
1538655435.059 * * [misc]simplify:  iters left: 6 (14 enodes)
1538655435.063 * * [misc]simplify:  iters left: 5 (24 enodes)
1538655435.068 * * [misc]simplify:  iters left: 4 (35 enodes)
1538655435.073 * * [misc]simplify:  iters left: 3 (39 enodes)
1538655435.079 * * [misc]simplify:  iters left: 2 (45 enodes)
1538655435.085 * * [misc]simplify:  iters left: 1 (58 enodes)
1538655435.101 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2)))
1538655435.101 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))
1538655435.101 * * * * [misc]progress:  [ 67 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) (/ 1 (sqrt k))))>
1538655435.101 * * * * [misc]progress:  [ 68 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (log1p (expm1 (* PI (* n 2)))) (/ k 2)))))>
1538655435.101 * * * * [misc]progress:  [ 69 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (expm1 (log1p (* PI (* n 2)))) (/ k 2)))))>
1538655435.101 * * * * [misc]progress:  [ 70 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (pow (* PI (* n 2)) 1) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 71 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (exp (log (* PI (* n 2)))) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 72 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (log (exp (* PI (* n 2)))) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 73 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 74 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 75 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 76 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* 1 (* PI (* n 2))) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 77 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* (* PI n) 2) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 78 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* (* n 2) PI) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 79 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (log1p (expm1 (* (* 2 n) PI)))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 80 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (expm1 (log1p (* (* 2 n) PI)))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 81 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (pow (* (* 2 n) PI) 1)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 82 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (exp (log (* (* 2 n) PI)))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 83 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (log (exp (* (* 2 n) PI)))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.102 * * * * [misc]progress:  [ 84 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI))) (cbrt (* (* 2 n) PI)))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.103 * * * * [misc]progress:  [ 85 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (cbrt (* (* (* (* 2 n) PI) (* (* 2 n) PI)) (* (* 2 n) PI)))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.103 * * * * [misc]progress:  [ 86 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI)))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.103 * * * * [misc]progress:  [ 87 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* 1 (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.103 * * * * [misc]progress:  [ 88 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* 2 (* n PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.103 * * * * [misc]progress:  [ 89 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* PI (* 2 n))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.103 * * * * [misc]progress:  [ 90 / 101 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.103 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1538655435.103 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655435.103 * * * * [misc]progress:  [ 91 / 101 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.104 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1538655435.104 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655435.104 * * * * [misc]progress:  [ 92 / 101 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.104 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1538655435.104 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))
1538655435.104 * * * * [misc]progress:  [ 93 / 101 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* n (* PI (pow k 2)))))) (- (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI (* (log n) (pow k 2)))))))))))))))))))>
1538655435.104 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* n (* PI (pow k 2)))))) (- (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI (* (log n) (pow k 2))))))))))))))))))
1538655435.104 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655435.104 * * * * [misc]progress:  [ 94 / 101 ] simplifiying candidate #<alt (λ (k n) (* +nan.0 (/ (* (sqrt 2) (* n PI)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))))>
1538655435.105 * [enter]simplify:  Simplifying (* +nan.0 (/ (* (sqrt 2) (* n PI)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)))
1538655435.105 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655435.105 * * * * [misc]progress:  [ 95 / 101 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))))>
1538655435.105 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
1538655435.105 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655435.105 * * * * [misc]progress:  [ 96 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655435.105 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655435.106 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655435.109 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655435.113 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655435.121 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655435.126 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655435.126 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* (* PI n) 2) (/ k 2)))))
1538655435.127 * * * * [misc]progress:  [ 97 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655435.127 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655435.127 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655435.130 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655435.134 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655435.139 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655435.145 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655435.145 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* (* PI n) 2) (/ k 2)))))
1538655435.145 * * * * [misc]progress:  [ 98 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655435.145 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655435.145 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655435.148 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655435.153 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655435.158 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655435.163 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655435.163 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* (* PI n) 2) (/ k 2)))))
1538655435.164 * * * * [misc]progress:  [ 99 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* 2 (* n PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.164 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655435.164 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655435.167 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655435.171 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655435.176 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655435.181 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655435.181 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* PI (* n 2)) (/ k 2)))))
1538655435.181 * * * * [misc]progress:  [ 100 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* 2 (* n PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.182 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655435.182 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655435.185 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655435.189 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655435.193 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655435.195 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655435.195 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* PI (* n 2)) (/ k 2)))))
1538655435.195 * * * * [misc]progress:  [ 101 / 101 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* 2 (* n PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655435.195 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655435.196 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655435.197 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655435.199 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655435.201 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655435.204 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655435.204 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* PI (* n 2)) (/ k 2)))))
1538655435.204 * * * [misc]progress:  adding candidates to table
1538655437.909 * * [misc]progress:  iteration 4 / 4
1538655437.909 * * * [misc]progress:  picking best candidate
1538655438.020 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.020 * * * [misc]progress:  localizing error
1538655438.053 * * * [misc]progress:  generating rewritten candidates
1538655438.053 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
1538655438.055 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
1538655438.113 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1)
1538655438.140 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1538655438.235 * * * [misc]progress:  generating series expansions
1538655438.235 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
1538655438.235 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
1538655438.235 * [misc]backup-simplify:  Simplify (/ (sqrt (* 2 n)) (sqrt k)) into (* (sqrt 2) (sqrt (/ n k)))
1538655438.235 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in (n k) around 0
1538655438.235 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in k
1538655438.235 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.236 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.236 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.236 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.236 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.236 * [misc]taylor:  Taking taylor expansion of (sqrt (/ n k)) in k
1538655438.236 * [misc]taylor:  Taking taylor expansion of (/ n k) in k
1538655438.236 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.236 * [misc]backup-simplify:  Simplify n into n
1538655438.236 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.236 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.236 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.236 * [misc]backup-simplify:  Simplify (/ n 1) into n
1538655438.236 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.236 * [misc]backup-simplify:  Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n)
1538655438.236 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in n
1538655438.236 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.236 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.237 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.237 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.237 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.237 * [misc]taylor:  Taking taylor expansion of (sqrt (/ n k)) in n
1538655438.237 * [misc]taylor:  Taking taylor expansion of (/ n k) in n
1538655438.237 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.237 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.237 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.237 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.237 * [misc]backup-simplify:  Simplify k into k
1538655438.237 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655438.237 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.237 * [misc]backup-simplify:  Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k)
1538655438.237 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in n
1538655438.237 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.237 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.237 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.237 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.237 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.238 * [misc]taylor:  Taking taylor expansion of (sqrt (/ n k)) in n
1538655438.238 * [misc]taylor:  Taking taylor expansion of (/ n k) in n
1538655438.238 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.238 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.238 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.238 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.238 * [misc]backup-simplify:  Simplify k into k
1538655438.238 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538655438.238 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.238 * [misc]backup-simplify:  Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k)
1538655438.238 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655438.238 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655438.238 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.238 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (/ +nan.0 k)) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2) k)))
1538655438.238 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) k))) in k
1538655438.238 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2) k)) in k
1538655438.238 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.238 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.238 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) k) in k
1538655438.238 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.238 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.239 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.239 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.239 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.239 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.239 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.239 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.239 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1538655438.239 * [misc]backup-simplify:  Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2))
1538655438.240 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
1538655438.240 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
1538655438.240 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.240 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)))) into 0
1538655438.240 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 k) 2) (+)) (* 2 0)) into (/ +nan.0 (pow k 2))
1538655438.241 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.242 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2) (pow k 2))))
1538655438.242 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) (pow k 2)))) in k
1538655438.242 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2) (pow k 2))) in k
1538655438.242 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.242 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.242 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow k 2)) in k
1538655438.242 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.242 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.242 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.242 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.242 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.242 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1538655438.242 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.242 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.242 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.242 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.242 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1538655438.243 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655438.243 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0
1538655438.243 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0
1538655438.243 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.243 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.243 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0
1538655438.243 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0
1538655438.243 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.243 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.244 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.244 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655438.244 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 k) (/ +nan.0 (pow k 2)))))) (* 2 0)) into (/ +nan.0 (pow k 3))
1538655438.244 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.245 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (/ +nan.0 (pow k 3))) (+ (* 0 (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2) (pow k 3))))
1538655438.245 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) (pow k 3)))) in k
1538655438.245 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2) (pow k 3))) in k
1538655438.245 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.245 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.245 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow k 3)) in k
1538655438.245 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.245 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.245 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.245 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.246 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.246 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1538655438.246 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.246 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.246 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.246 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.246 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.246 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1538655438.248 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.248 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1538655438.248 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655438.248 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1538655438.248 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655438.249 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0
1538655438.249 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.249 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
1538655438.250 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.250 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.251 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.251 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1538655438.252 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.252 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
1538655438.252 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.252 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.253 * [misc]backup-simplify:  Simplify (* (- (* +nan.0 (sqrt 2))) (* (/ 1 k) n)) into (* +nan.0 (/ (* (sqrt 2) n) k))
1538655438.253 * [misc]backup-simplify:  Simplify (/ (sqrt (* 2 (/ 1 n))) (sqrt (/ 1 k))) into (* (sqrt 2) (sqrt (/ k n)))
1538655438.253 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in (n k) around 0
1538655438.253 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in k
1538655438.253 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.253 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.253 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.253 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.253 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.254 * [misc]taylor:  Taking taylor expansion of (sqrt (/ k n)) in k
1538655438.254 * [misc]taylor:  Taking taylor expansion of (/ k n) in k
1538655438.254 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.254 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.254 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.254 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.254 * [misc]backup-simplify:  Simplify n into n
1538655438.254 * [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
1538655438.254 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.254 * [misc]backup-simplify:  Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n)
1538655438.254 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in n
1538655438.254 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.254 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.254 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.254 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.255 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.255 * [misc]taylor:  Taking taylor expansion of (sqrt (/ k n)) in n
1538655438.255 * [misc]taylor:  Taking taylor expansion of (/ k n) in n
1538655438.255 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.255 * [misc]backup-simplify:  Simplify k into k
1538655438.255 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.255 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.255 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.255 * [misc]backup-simplify:  Simplify (/ k 1) into k
1538655438.255 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.256 * [misc]backup-simplify:  Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k)
1538655438.256 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in n
1538655438.256 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.256 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.256 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.256 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.256 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.256 * [misc]taylor:  Taking taylor expansion of (sqrt (/ k n)) in n
1538655438.256 * [misc]taylor:  Taking taylor expansion of (/ k n) in n
1538655438.256 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.256 * [misc]backup-simplify:  Simplify k into k
1538655438.256 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.256 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.256 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.256 * [misc]backup-simplify:  Simplify (/ k 1) into k
1538655438.257 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.257 * [misc]backup-simplify:  Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k)
1538655438.257 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655438.257 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655438.257 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.257 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.258 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 k)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) k)))
1538655438.258 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) k))) in k
1538655438.258 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) k)) in k
1538655438.258 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.258 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.258 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) k) in k
1538655438.258 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.258 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.258 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.258 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.258 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.258 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.258 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.258 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.259 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655438.259 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538655438.259 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.259 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.259 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.259 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* k (/ 0 1)))) into 0
1538655438.266 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 k) 2) (+)) (* 2 0)) into (* +nan.0 (pow k 2))
1538655438.267 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.268 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow k 2))))
1538655438.268 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow k 2)))) in k
1538655438.268 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow k 2))) in k
1538655438.268 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.268 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.268 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow k 2)) in k
1538655438.268 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.268 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.268 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.269 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.269 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.269 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1538655438.269 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.269 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.269 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.270 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
1538655438.270 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt 2)) (* 0 0)) into (- (* +nan.0 (sqrt 2)))
1538655438.271 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2)))
1538655438.272 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
1538655438.272 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.272 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.273 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 2)))))) (* 2 0)) into (* +nan.0 (pow k 3))
1538655438.273 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.274 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow k 3))))
1538655438.274 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow k 3)))) in k
1538655438.274 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow k 3))) in k
1538655438.274 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.274 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.274 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow k 3)) in k
1538655438.274 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.274 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.274 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.274 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.274 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.274 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1538655438.274 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.274 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.274 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.276 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.276 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
1538655438.277 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (sqrt 2)) (* 0 0))) into 0
1538655438.277 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.277 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.277 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.278 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.279 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (pow k 2)) 2) (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 3)))))) (* 2 0)) into (* +nan.0 (pow k 4))
1538655438.280 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.281 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow k 4))) (+ (* 0 (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))))) into (- (* +nan.0 (* (sqrt 2) (pow k 4))))
1538655438.281 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow k 4)))) in k
1538655438.281 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow k 4))) in k
1538655438.281 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.281 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.281 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow k 4)) in k
1538655438.281 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.281 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.281 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.282 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.282 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.282 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1538655438.282 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.282 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.282 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.282 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.283 * [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
1538655438.283 * [misc]backup-simplify:  Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2))
1538655438.283 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
1538655438.284 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
1538655438.284 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.285 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538655438.285 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0)))) into 0
1538655438.285 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.285 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.285 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.286 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.287 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 4)))) (* 2 (* (* +nan.0 (pow k 2)) (* +nan.0 (pow k 3)))))) (* 2 0)) into (* +nan.0 (pow k 5))
1538655438.287 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.288 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow k 5))) (+ (* 0 (* +nan.0 (pow k 4))) (+ (* 0 (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0)))))) into (- (* +nan.0 (* (sqrt 2) (pow k 5))))
1538655438.288 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow k 5)))) in k
1538655438.288 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow k 5))) in k
1538655438.289 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.289 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.289 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow k 5)) in k
1538655438.289 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.289 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.289 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.289 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.289 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.289 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1538655438.289 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.289 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.289 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.290 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655438.290 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
1538655438.290 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0
1538655438.290 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.290 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.292 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.292 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1538655438.293 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0))))) into 0
1538655438.293 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.293 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.293 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.294 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.296 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (pow k 3)) 2) (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 5)))) (* 2 (* (* +nan.0 (pow k 2)) (* +nan.0 (pow k 4)))))) (* 2 0)) into (* +nan.0 (pow k 6))
1538655438.297 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.298 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow k 6))) (+ (* 0 (* +nan.0 (pow k 5))) (+ (* 0 (* +nan.0 (pow k 4))) (+ (* 0 (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))))))) into (- (* +nan.0 (* (sqrt 2) (pow k 6))))
1538655438.298 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow k 6)))) in k
1538655438.298 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow k 6))) in k
1538655438.298 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.298 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.298 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow k 6)) in k
1538655438.298 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.298 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.298 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.298 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.299 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.299 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1538655438.299 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.299 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.299 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.299 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.299 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.299 * [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
1538655438.300 * [misc]backup-simplify:  Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2))
1538655438.300 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
1538655438.301 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
1538655438.303 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 2))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (sqrt 2))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (sqrt 2))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (sqrt 2) k)) (- (+ (* +nan.0 (/ (sqrt 2) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (sqrt 2) (* n (pow k 2)))))))))
1538655438.304 * [misc]backup-simplify:  Simplify (/ (sqrt (* 2 (/ 1 (- n)))) (sqrt (/ 1 (- k)))) into (/ (sqrt (/ -2 n)) (sqrt (/ -1 k)))
1538655438.304 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in (n k) around 0
1538655438.304 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in k
1538655438.304 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -2 n)) in k
1538655438.304 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538655438.304 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655438.304 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.304 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.304 * [misc]backup-simplify:  Simplify n into n
1538655438.304 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538655438.304 * [misc]backup-simplify:  Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n))
1538655438.304 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0
1538655438.304 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0
1538655438.304 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655438.304 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655438.304 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655438.304 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.304 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.304 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.305 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.305 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655438.305 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.306 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655438.306 * [misc]backup-simplify:  Simplify (/ (sqrt (/ -2 n)) +nan.0) into (* +nan.0 (sqrt (/ -2 n)))
1538655438.306 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n
1538655438.306 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -2 n)) in n
1538655438.306 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538655438.306 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.306 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.306 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.306 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.306 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.307 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538655438.307 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.307 * [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0
1538655438.307 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655438.307 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655438.308 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655438.308 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.308 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.308 * [misc]backup-simplify:  Simplify k into k
1538655438.308 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655438.308 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655438.308 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655438.308 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655438.308 * [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k)))
1538655438.308 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n
1538655438.308 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -2 n)) in n
1538655438.308 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538655438.308 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.308 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.308 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.308 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.308 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.309 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538655438.309 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.309 * [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0
1538655438.309 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655438.309 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655438.309 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655438.309 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.309 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.309 * [misc]backup-simplify:  Simplify k into k
1538655438.309 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655438.309 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655438.310 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655438.310 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655438.310 * [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k)))
1538655438.310 * [misc]taylor:  Taking taylor expansion of (/ +nan.0 (sqrt (/ -1 k))) in k
1538655438.310 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.310 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.310 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655438.310 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655438.310 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655438.310 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.310 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.310 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.310 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.310 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655438.311 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.311 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655438.311 * [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
1538655438.311 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.312 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538655438.313 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655438.313 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (sqrt (/ -1 k))) (+ (* (/ +nan.0 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ 1 (sqrt (/ -1 k)))))
1538655438.313 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (sqrt (/ -1 k))))) in k
1538655438.313 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqrt (/ -1 k)))) in k
1538655438.313 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.313 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.313 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1538655438.313 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655438.313 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655438.313 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655438.313 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.313 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.313 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.313 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.314 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655438.314 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.314 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655438.314 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1538655438.315 * [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
1538655438.315 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538655438.315 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538655438.315 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538655438.316 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655438.317 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1538655438.317 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538655438.318 * [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (- k)) 1)) (+ (* (- +nan.0) (* 1 (/ 1 (- n)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))
1538655438.318 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1)
1538655438.319 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538655438.319 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538655438.319 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655438.319 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.319 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.319 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655438.319 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.319 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.319 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.319 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.319 * [misc]backup-simplify:  Simplify PI into PI
1538655438.319 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655438.319 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.319 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.319 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655438.319 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.319 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.319 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.319 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.319 * [misc]backup-simplify:  Simplify PI into PI
1538655438.320 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655438.320 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655438.320 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.321 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655438.322 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655438.322 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.323 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655438.324 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655438.324 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.326 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655438.327 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655438.328 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.330 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655438.332 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655438.332 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.335 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655438.338 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538655438.338 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.342 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655438.346 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538655438.346 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.351 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538655438.355 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538655438.356 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.356 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538655438.356 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538655438.356 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538655438.356 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655438.356 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.356 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.356 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.356 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.356 * [misc]backup-simplify:  Simplify PI into PI
1538655438.356 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.356 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.356 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.357 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.357 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655438.357 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.357 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.357 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.357 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.357 * [misc]backup-simplify:  Simplify PI into PI
1538655438.357 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.357 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.357 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.358 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.358 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.358 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.360 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655438.360 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655438.360 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.362 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.363 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655438.363 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.364 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.366 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655438.366 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.368 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.370 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655438.370 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.372 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.374 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655438.374 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.377 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.380 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655438.380 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.380 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538655438.381 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538655438.381 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538655438.381 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655438.381 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.381 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.381 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.381 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.381 * [misc]backup-simplify:  Simplify PI into PI
1538655438.381 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.381 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.381 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.381 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.381 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655438.381 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.381 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.381 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.381 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.381 * [misc]backup-simplify:  Simplify PI into PI
1538655438.381 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.381 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.381 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.382 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.382 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655438.382 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655438.383 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655438.384 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655438.384 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.386 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.387 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655438.387 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.389 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.390 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655438.390 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.392 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.395 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655438.395 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.397 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.400 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655438.400 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.403 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.406 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655438.406 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.407 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538655438.407 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1538655438.409 * [misc]backup-simplify:  Simplify (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k)))
1538655438.409 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0
1538655438.409 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k
1538655438.409 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k
1538655438.409 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.409 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.409 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.409 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.409 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.409 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k
1538655438.409 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k
1538655438.409 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k
1538655438.409 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538655438.409 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.409 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.409 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.409 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.409 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.409 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538655438.410 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538655438.410 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.410 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.410 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655438.410 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.410 * [misc]backup-simplify:  Simplify n into n
1538655438.410 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.410 * [misc]backup-simplify:  Simplify PI into PI
1538655438.410 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655438.410 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538655438.410 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538655438.410 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655438.411 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1538655438.411 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538655438.411 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538655438.412 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538655438.412 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538655438.412 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI))))
1538655438.412 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655438.413 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1538655438.413 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1538655438.413 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1538655438.413 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538655438.413 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.413 * [misc]backup-simplify:  Simplify n into n
1538655438.413 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.413 * [misc]backup-simplify:  Simplify PI into PI
1538655438.413 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.413 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.413 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.413 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538655438.413 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1538655438.413 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.413 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1538655438.413 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1538655438.413 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1538655438.413 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.413 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.413 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.414 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.414 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.414 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1538655438.414 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1538655438.414 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1538655438.414 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655438.414 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655438.414 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.414 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.414 * [misc]backup-simplify:  Simplify k into k
1538655438.414 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655438.414 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655438.414 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.414 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.414 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655438.414 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.414 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.414 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.414 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.414 * [misc]backup-simplify:  Simplify PI into PI
1538655438.414 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655438.414 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655438.415 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655438.415 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655438.415 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.416 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655438.416 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655438.419 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1538655438.419 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1538655438.420 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
1538655438.420 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1538655438.420 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1538655438.420 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655438.420 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.420 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.420 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.420 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.420 * [misc]backup-simplify:  Simplify PI into PI
1538655438.420 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.420 * [misc]backup-simplify:  Simplify k into k
1538655438.420 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655438.421 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655438.421 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1538655438.421 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.421 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1538655438.421 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.421 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.421 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.421 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.421 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655438.421 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.421 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.421 * [misc]backup-simplify:  Simplify k into k
1538655438.421 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.421 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.421 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655438.421 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.421 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.422 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.422 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.422 * [misc]backup-simplify:  Simplify PI into PI
1538655438.422 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655438.422 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538655438.422 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655438.423 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538655438.423 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.423 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538655438.424 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655438.424 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1538655438.424 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1538655438.425 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
1538655438.425 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1538655438.425 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1538655438.425 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538655438.425 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.425 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.425 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.425 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.425 * [misc]backup-simplify:  Simplify PI into PI
1538655438.425 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.425 * [misc]backup-simplify:  Simplify k into k
1538655438.425 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538655438.426 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538655438.426 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1538655438.426 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.426 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1538655438.427 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1538655438.427 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655438.427 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.428 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655438.428 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538655438.430 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655438.430 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538655438.431 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655438.431 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538655438.432 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655438.434 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
1538655438.435 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))))
1538655438.435 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.435 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.435 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.435 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.435 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.435 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.435 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.435 * [misc]backup-simplify:  Simplify PI into PI
1538655438.435 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.435 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.435 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.435 * [misc]backup-simplify:  Simplify n into n
1538655438.435 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.435 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.435 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.435 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.435 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.435 * [misc]backup-simplify:  Simplify PI into PI
1538655438.436 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.436 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.436 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.436 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.436 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.436 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655438.437 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1538655438.437 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655438.438 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538655438.438 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655438.441 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655438.441 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655438.442 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1538655438.442 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655438.442 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655438.442 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.442 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.443 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.443 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1538655438.443 * [misc]backup-simplify:  Simplify (* 1 0) into 0
1538655438.445 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655438.446 * [misc]backup-simplify:  Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1
1538655438.447 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1538655438.447 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1538655438.448 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655438.449 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538655438.450 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.451 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538655438.451 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1538655438.452 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1538655438.453 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.455 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655438.457 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655438.464 * [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
1538655438.464 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538655438.465 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655438.466 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538655438.469 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655438.472 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
1538655438.475 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)))))
1538655438.475 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2))))) in k
1538655438.475 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)))) in k
1538655438.475 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.475 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.475 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2))) in k
1538655438.475 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k
1538655438.475 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.475 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.475 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.475 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.475 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.476 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.476 * [misc]backup-simplify:  Simplify PI into PI
1538655438.476 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.476 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.476 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.476 * [misc]backup-simplify:  Simplify n into n
1538655438.476 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.476 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.476 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.476 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.476 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.476 * [misc]backup-simplify:  Simplify PI into PI
1538655438.477 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.477 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.477 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.477 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.477 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.478 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538655438.479 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1538655438.479 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538655438.480 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538655438.481 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655438.484 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655438.484 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655438.485 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1538655438.486 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655438.486 * [misc]backup-simplify:  Simplify (exp 0) into 1
1538655438.486 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1538655438.486 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.486 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.486 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.487 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655438.488 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1538655438.488 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.488 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.490 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1538655438.491 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1538655438.492 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1538655438.493 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655438.495 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1538655438.496 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))
1538655438.500 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1538655438.507 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1538655438.514 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1538655438.519 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1538655438.520 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1538655438.522 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538655438.523 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655438.529 * [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
1538655438.529 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538655438.530 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0
1538655438.531 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0
1538655438.534 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))
1538655438.539 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))
1538655438.541 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1538655438.545 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655438.549 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655438.554 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538655438.562 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1538655438.562 * [misc]backup-simplify:  Simplify (* (/ (sqrt (* 2 (/ 1 n))) (sqrt (/ 1 k))) (/ (sqrt PI) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2)))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n)))
1538655438.562 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0
1538655438.562 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k
1538655438.562 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k
1538655438.562 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.562 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.562 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.562 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.563 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.563 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k
1538655438.563 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k
1538655438.563 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k
1538655438.563 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in k
1538655438.563 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.563 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.563 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.563 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.563 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.563 * [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
1538655438.563 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538655438.563 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538655438.563 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.563 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.563 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655438.563 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.563 * [misc]backup-simplify:  Simplify PI into PI
1538655438.563 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.563 * [misc]backup-simplify:  Simplify n into n
1538655438.563 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655438.563 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538655438.563 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538655438.563 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
1538655438.564 * [misc]backup-simplify:  Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
1538655438.564 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))
1538655438.564 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1538655438.564 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1538655438.564 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1538655438.564 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.564 * [misc]backup-simplify:  Simplify PI into PI
1538655438.564 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.564 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.564 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.564 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.564 * [misc]backup-simplify:  Simplify n into n
1538655438.564 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538655438.565 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538655438.565 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655438.565 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.565 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1538655438.565 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1538655438.565 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1538655438.565 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.565 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.565 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.565 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.565 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.565 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1538655438.565 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1538655438.565 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1538655438.565 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1538655438.565 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655438.565 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.565 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.565 * [misc]backup-simplify:  Simplify k into k
1538655438.565 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1538655438.566 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655438.566 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655438.566 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.566 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.566 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.566 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.566 * [misc]backup-simplify:  Simplify PI into PI
1538655438.566 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.566 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.566 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.566 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.566 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.566 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.567 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.568 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655438.568 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.569 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.569 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1538655438.569 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1538655438.569 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1538655438.569 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.569 * [misc]backup-simplify:  Simplify PI into PI
1538655438.569 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.569 * [misc]backup-simplify:  Simplify k into k
1538655438.569 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.569 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.569 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.569 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1538655438.569 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1538655438.569 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.569 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1538655438.569 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1538655438.569 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1538655438.569 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538655438.569 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.569 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.569 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.570 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.570 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1538655438.570 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1538655438.570 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1538655438.570 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1538655438.570 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538655438.570 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.570 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.570 * [misc]backup-simplify:  Simplify k into k
1538655438.570 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1538655438.570 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538655438.570 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538655438.570 * [misc]taylor:  Taking taylor expansion of 2 in n
1538655438.570 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.570 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.570 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.570 * [misc]backup-simplify:  Simplify PI into PI
1538655438.570 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.570 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.570 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.570 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.570 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.571 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.571 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.571 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1538655438.572 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.572 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.572 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1538655438.572 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1538655438.572 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1538655438.573 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.573 * [misc]backup-simplify:  Simplify PI into PI
1538655438.573 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.573 * [misc]backup-simplify:  Simplify k into k
1538655438.573 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.573 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.573 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.573 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1538655438.573 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1538655438.573 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.573 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1538655438.574 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0
1538655438.574 * [misc]taylor:  Taking taylor expansion of 0 in k
1538655438.574 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.574 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.575 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655438.575 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538655438.577 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538655438.577 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0
1538655438.578 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.578 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538655438.579 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655438.580 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.581 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.581 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655438.581 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655438.581 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.581 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.581 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655438.581 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1538655438.581 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.581 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.581 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.582 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.582 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.582 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1538655438.582 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.582 * [misc]backup-simplify:  Simplify PI into PI
1538655438.582 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.582 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.582 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.582 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655438.582 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655438.582 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.582 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.582 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655438.582 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655438.582 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.582 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.582 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.582 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.582 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.582 * [misc]backup-simplify:  Simplify PI into PI
1538655438.582 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.583 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.583 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.583 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.583 * [misc]backup-simplify:  Simplify n into n
1538655438.583 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.583 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.583 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.583 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.583 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.583 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655438.584 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655438.584 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655438.584 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.585 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538655438.585 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538655438.585 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538655438.586 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1538655438.586 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.586 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.587 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1538655438.587 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1538655438.587 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1538655438.588 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.589 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.590 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538655438.593 * [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
1538655438.593 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655438.594 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.594 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538655438.596 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655438.598 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.599 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.599 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655438.599 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655438.599 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.599 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.599 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655438.599 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1538655438.599 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.599 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.599 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.600 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.600 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.600 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.600 * [misc]backup-simplify:  Simplify PI into PI
1538655438.600 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.600 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.600 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.600 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.600 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.600 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.600 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.600 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.600 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.600 * [misc]backup-simplify:  Simplify PI into PI
1538655438.600 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.601 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.601 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.601 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.601 * [misc]backup-simplify:  Simplify n into n
1538655438.601 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.601 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.601 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.601 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.601 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.601 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655438.602 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655438.602 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655438.602 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.603 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655438.603 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.603 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1538655438.604 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1538655438.605 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.605 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1538655438.606 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.607 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.607 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.607 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1538655438.608 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.609 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3)))
1538655438.609 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.610 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.611 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538655438.616 * [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
1538655438.617 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655438.617 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.618 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538655438.620 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538655438.623 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.624 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.625 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.625 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.625 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.625 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.625 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.625 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.625 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.625 * [misc]backup-simplify:  Simplify PI into PI
1538655438.625 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.625 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.625 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.625 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.625 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.625 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.625 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.625 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.625 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.625 * [misc]backup-simplify:  Simplify PI into PI
1538655438.626 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.626 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.626 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.626 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.626 * [misc]backup-simplify:  Simplify n into n
1538655438.626 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.626 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.626 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.626 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.626 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.626 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655438.627 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655438.627 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655438.628 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.628 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655438.628 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1538655438.629 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.629 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.629 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1538655438.630 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1538655438.631 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.631 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1538655438.632 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538655438.633 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1538655438.634 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.636 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1538655438.636 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.636 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.636 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.637 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1538655438.637 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.639 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4)))
1538655438.640 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.641 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.643 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538655438.652 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1538655438.652 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655438.653 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.653 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1538655438.657 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655438.659 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.662 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.662 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.662 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.662 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.662 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.662 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.662 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.662 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.662 * [misc]backup-simplify:  Simplify PI into PI
1538655438.662 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.662 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.662 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.662 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.662 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.662 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.662 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.663 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.663 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.663 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.663 * [misc]backup-simplify:  Simplify PI into PI
1538655438.663 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.663 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.663 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.663 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.663 * [misc]backup-simplify:  Simplify n into n
1538655438.663 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.663 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.663 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.663 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.663 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.664 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655438.664 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655438.664 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655438.665 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.665 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655438.666 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1538655438.666 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.666 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.666 * [misc]backup-simplify:  Simplify (* (pow PI 4) 1) into (pow PI 4)
1538655438.667 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4))
1538655438.668 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.669 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1538655438.671 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.672 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.673 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538655438.673 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.674 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538655438.676 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.677 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.677 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.677 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.677 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.678 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1538655438.678 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.680 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5)))
1538655438.680 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.682 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.683 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538655438.697 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1538655438.697 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655438.697 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.698 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1538655438.703 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538655438.707 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.711 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.711 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655438.711 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655438.711 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.711 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.711 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655438.711 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1538655438.711 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.711 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.711 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.711 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.712 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.712 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.712 * [misc]backup-simplify:  Simplify PI into PI
1538655438.712 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.712 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.712 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.712 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.712 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.712 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.712 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.712 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.712 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.712 * [misc]backup-simplify:  Simplify PI into PI
1538655438.713 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.713 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.713 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.713 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.713 * [misc]backup-simplify:  Simplify n into n
1538655438.713 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.713 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.713 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.713 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.714 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.714 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655438.715 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655438.715 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655438.718 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.718 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655438.719 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1538655438.720 * [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
1538655438.720 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.720 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.720 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.721 * [misc]backup-simplify:  Simplify (* (pow PI 5) 1) into (pow PI 5)
1538655438.722 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5))
1538655438.724 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.725 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1538655438.726 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1538655438.727 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1538655438.729 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1538655438.732 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.734 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1538655438.734 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.734 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.735 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1538655438.737 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.739 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538655438.743 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.745 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0
1538655438.745 * [misc]backup-simplify:  Simplify (- 0) into 0
1538655438.745 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.745 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.746 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1538655438.747 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.753 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6)))
1538655438.754 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1538655438.757 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538655438.760 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538655438.797 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1538655438.798 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538655438.798 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538655438.800 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1538655438.814 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538655438.820 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1538655438.826 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.826 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1538655438.826 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1538655438.826 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.826 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.826 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.827 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.827 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538655438.827 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538655438.827 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.827 * [misc]backup-simplify:  Simplify PI into PI
1538655438.827 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.827 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.827 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.827 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538655438.827 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538655438.827 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538655438.827 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538655438.828 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538655438.828 * [misc]taylor:  Taking taylor expansion of 2 in k
1538655438.828 * [misc]backup-simplify:  Simplify 2 into 2
1538655438.828 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.828 * [misc]backup-simplify:  Simplify PI into PI
1538655438.828 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538655438.828 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538655438.829 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.829 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.829 * [misc]backup-simplify:  Simplify n into n
1538655438.829 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.829 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.829 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.829 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.829 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.829 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538655438.830 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1538655438.831 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1538655438.831 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1538655438.832 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1538655438.832 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1538655438.833 * [misc]backup-simplify:  Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6)
1538655438.834 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.834 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.834 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1538655438.835 * [misc]backup-simplify:  Simplify (* (pow PI 6) 1) into (pow PI 6)
1538655438.835 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6))
1538655438.837 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1538655438.839 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1538655438.841 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.844 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1538655438.854 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2))))))))))
1538655438.855 * [misc]backup-simplify:  Simplify (* (/ (sqrt (* 2 (/ 1 (- n)))) (sqrt (/ 1 (- k)))) (/ (sqrt PI) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2)))) into (* (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI))
1538655438.855 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in (n k) around 0
1538655438.855 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in k
1538655438.855 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k
1538655438.855 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -2 n)) in k
1538655438.855 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538655438.855 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655438.855 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.855 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.855 * [misc]backup-simplify:  Simplify n into n
1538655438.855 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538655438.856 * [misc]backup-simplify:  Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n))
1538655438.856 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0
1538655438.856 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0
1538655438.856 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655438.856 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655438.856 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.856 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.856 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.856 * [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
1538655438.856 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655438.856 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.856 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538655438.856 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.857 * [misc]backup-simplify:  Simplify PI into PI
1538655438.857 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.857 * [misc]backup-simplify:  Simplify n into n
1538655438.857 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538655438.857 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538655438.857 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538655438.857 * [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
1538655438.857 * [misc]backup-simplify:  Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
1538655438.858 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655438.858 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655438.858 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655438.858 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.858 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.858 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.858 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.858 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655438.858 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.858 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655438.859 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0
1538655438.859 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655438.860 * [misc]backup-simplify:  Simplify (/ (sqrt (/ -2 n)) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (/ -2 n)) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1538655438.860 * [misc]taylor:  Taking taylor expansion of (sqrt PI) in k
1538655438.860 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.860 * [misc]backup-simplify:  Simplify PI into PI
1538655438.860 * [misc]backup-simplify:  Simplify (sqrt PI) into (sqrt PI)
1538655438.861 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt PI))) into 0
1538655438.861 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n
1538655438.861 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1538655438.861 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -2 n)) in n
1538655438.861 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538655438.861 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.861 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.861 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.861 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.861 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.861 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538655438.862 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.862 * [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0
1538655438.862 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1538655438.862 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1538655438.862 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1538655438.862 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1538655438.862 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1538655438.862 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1538655438.862 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655438.862 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.862 * [misc]backup-simplify:  Simplify k into k
1538655438.862 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1538655438.862 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655438.862 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655438.862 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.862 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.862 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.863 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.863 * [misc]backup-simplify:  Simplify PI into PI
1538655438.863 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.863 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.863 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.863 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.863 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655438.864 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655438.864 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655438.865 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1538655438.866 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655438.866 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655438.866 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655438.866 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655438.866 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.866 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.866 * [misc]backup-simplify:  Simplify k into k
1538655438.866 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655438.866 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655438.866 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655438.867 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655438.867 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1538655438.868 * [misc]backup-simplify:  Simplify (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655438.868 * [misc]taylor:  Taking taylor expansion of (sqrt PI) in n
1538655438.868 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.868 * [misc]backup-simplify:  Simplify PI into PI
1538655438.869 * [misc]backup-simplify:  Simplify (sqrt PI) into (sqrt PI)
1538655438.870 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt PI))) into 0
1538655438.870 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n
1538655438.870 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -2 n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1538655438.870 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -2 n)) in n
1538655438.870 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538655438.870 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.870 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.870 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.870 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.870 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.870 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538655438.870 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.871 * [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0
1538655438.871 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1538655438.871 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655438.871 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.871 * [misc]backup-simplify:  Simplify k into k
1538655438.871 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1538655438.871 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of -2 in n
1538655438.871 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.871 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538655438.871 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.871 * [misc]backup-simplify:  Simplify PI into PI
1538655438.871 * [misc]taylor:  Taking taylor expansion of n in n
1538655438.871 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.871 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.872 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538655438.872 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655438.873 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655438.873 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655438.874 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1538655438.875 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655438.875 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538655438.875 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538655438.875 * [misc]taylor:  Taking taylor expansion of -1 in n
1538655438.875 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.875 * [misc]taylor:  Taking taylor expansion of k in n
1538655438.875 * [misc]backup-simplify:  Simplify k into k
1538655438.875 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538655438.875 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538655438.876 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538655438.876 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538655438.877 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1538655438.878 * [misc]backup-simplify:  Simplify (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655438.878 * [misc]taylor:  Taking taylor expansion of (sqrt PI) in n
1538655438.878 * [misc]taylor:  Taking taylor expansion of PI in n
1538655438.878 * [misc]backup-simplify:  Simplify PI into PI
1538655438.878 * [misc]backup-simplify:  Simplify (sqrt PI) into (sqrt PI)
1538655438.879 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt PI))) into 0
1538655438.880 * [misc]backup-simplify:  Simplify (* (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (sqrt PI)) into (* +nan.0 (* (sqrt PI) (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1538655438.881 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt PI) (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) in k
1538655438.881 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.881 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.881 * [misc]taylor:  Taking taylor expansion of (* (sqrt PI) (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) in k
1538655438.881 * [misc]taylor:  Taking taylor expansion of (sqrt PI) in k
1538655438.881 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.881 * [misc]backup-simplify:  Simplify PI into PI
1538655438.881 * [misc]backup-simplify:  Simplify (sqrt PI) into (sqrt PI)
1538655438.882 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt PI))) into 0
1538655438.882 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k
1538655438.882 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1538655438.882 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655438.882 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655438.882 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655438.882 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.882 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.882 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.882 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.882 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655438.883 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.883 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655438.883 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1538655438.883 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1538655438.883 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655438.883 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655438.883 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1538655438.883 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538655438.883 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538655438.883 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538655438.883 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655438.883 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.883 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.883 * [misc]backup-simplify:  Simplify PI into PI
1538655438.884 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655438.884 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655438.884 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.884 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.884 * [misc]backup-simplify:  Simplify n into n
1538655438.884 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.884 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.885 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.885 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.885 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.885 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538655438.886 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1538655438.887 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1538655438.887 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655438.888 * [misc]backup-simplify:  Simplify (* 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1538655438.889 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655438.890 * [misc]backup-simplify:  Simplify (/ 1 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1538655438.891 * [misc]backup-simplify:  Simplify (* (sqrt PI) (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))
1538655438.892 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))) into (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655438.893 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655438.894 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538655438.895 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655438.896 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538655438.897 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538655438.900 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538655438.900 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
1538655438.901 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538655438.902 * [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538655438.904 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1538655438.905 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0
1538655438.907 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1538655438.910 * [misc]backup-simplify:  Simplify (+ (* (/ +nan.0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 0) (* (- (* +nan.0 (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (sqrt PI))) into (- (* +nan.0 (* (sqrt PI) (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))
1538655438.910 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt PI) (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) in k
1538655438.910 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt PI) (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) in k
1538655438.910 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1538655438.910 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538655438.910 * [misc]taylor:  Taking taylor expansion of (* (sqrt PI) (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) in k
1538655438.910 * [misc]taylor:  Taking taylor expansion of (sqrt PI) in k
1538655438.910 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.910 * [misc]backup-simplify:  Simplify PI into PI
1538655438.911 * [misc]backup-simplify:  Simplify (sqrt PI) into (sqrt PI)
1538655438.911 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt PI))) into 0
1538655438.911 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k
1538655438.911 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1538655438.911 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538655438.912 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538655438.912 * [misc]taylor:  Taking taylor expansion of -1 in k
1538655438.912 * [misc]backup-simplify:  Simplify -1 into -1
1538655438.912 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.912 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.912 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.912 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538655438.912 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538655438.912 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538655438.912 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1538655438.912 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1538655438.913 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1538655438.913 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1538655438.913 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1538655438.913 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538655438.913 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538655438.913 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538655438.913 * [misc]taylor:  Taking taylor expansion of -2 in k
1538655438.913 * [misc]backup-simplify:  Simplify -2 into -2
1538655438.913 * [misc]taylor:  Taking taylor expansion of PI in k
1538655438.913 * [misc]backup-simplify:  Simplify PI into PI
1538655438.913 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538655438.914 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538655438.914 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538655438.914 * [misc]taylor:  Taking taylor expansion of n in k
1538655438.914 * [misc]backup-simplify:  Simplify n into n
1538655438.914 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538655438.914 * [misc]taylor:  Taking taylor expansion of k in k
1538655438.914 * [misc]backup-simplify:  Simplify 0 into 0
1538655438.914 * [misc]backup-simplify:  Simplify 1 into 1
1538655438.914 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538655438.915 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538655438.915 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1538655438.916 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1538655438.917 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1538655438.917 * [misc]backup-simplify:  Simplify (* 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1538655438.918 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655438.919 * [misc]backup-simplify:  Simplify (/ 1 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1538655438.920 * [misc]backup-simplify:  Simplify (* (sqrt PI) (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))
1538655438.921 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))) into (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655438.923 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1538655438.924 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1538655438.924 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538655438.925 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538655438.927 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1538655438.928 * [misc]backup-simplify:  Simplify (- (+ (* (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1538655438.930 * [misc]backup-simplify:  Simplify (+ (* (sqrt PI) (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))))
1538655438.931 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))))) (* 0 (* +nan.0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))))) into (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1538655438.932 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1538655438.934 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* (sqrt PI) (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))))) into (- (+ (* +nan.0 (* (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n)) (sqrt PI))) (- (* +nan.0 (* (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (sqrt PI))))))))
1538655438.934 * * * [misc]progress:  simplifying candidates
1538655438.935 * * * * [misc]progress:  [ 1 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (log1p (expm1 (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 2 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (expm1 (log1p (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 3 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (pow PI 1/2) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 4 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (pow (sqrt PI) 1) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 5 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (exp (log (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 6 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (log (exp (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 7 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 8 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (cbrt (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 9 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 10 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* 1 (sqrt PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 11 / 123 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ (sqrt (* 2 n)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 12 / 123 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ (sqrt (* 2 n)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 13 / 123 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ (sqrt (* 2 n)) (sqrt k)) 1) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * * * * [misc]progress:  [ 14 / 123 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt (* 2 n))) (log (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.935 * [enter]simplify:  Simplifying (- (log (sqrt (* 2 n))) (log (sqrt k)))
1538655438.936 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655438.938 * * [misc]simplify:  iters left: 5 (12 enodes)
1538655438.940 * * [misc]simplify:  iters left: 4 (13 enodes)
1538655438.942 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 n))) (log (sqrt k)))
1538655438.943 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt (* 2 n))) (log (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655438.943 * * * * [misc]progress:  [ 15 / 123 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ (sqrt (* 2 n)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.943 * * * * [misc]progress:  [ 16 / 123 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ (sqrt (* 2 n)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.943 * * * * [misc]progress:  [ 17 / 123 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655438.943 * [enter]simplify:  Simplifying (/ (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1538655438.944 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655438.946 * * [misc]simplify:  iters left: 5 (21 enodes)
1538655438.953 * * [misc]simplify:  iters left: 4 (57 enodes)
1538655438.979 * * [misc]simplify:  iters left: 3 (169 enodes)
1538655439.119 * * [misc]simplify:  iters left: 2 (451 enodes)
1538655439.657 * [exit]simplify:  Simplified to (* (/ (sqrt (* 2 n)) k) (/ (* 2 n) (sqrt k)))
1538655439.657 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (sqrt (* 2 n)) k) (/ (* 2 n) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.657 * * * * [misc]progress:  [ 18 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ (sqrt (* 2 n)) (sqrt k))) (cbrt (/ (sqrt (* 2 n)) (sqrt k)))) (cbrt (/ (sqrt (* 2 n)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.657 * * * * [misc]progress:  [ 19 / 123 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt (* 2 n)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.657 * * * * [misc]progress:  [ 20 / 123 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* 2 n) k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.658 * [enter]simplify:  Simplifying (/ (* 2 n) k)
1538655439.658 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655439.659 * * [misc]simplify:  iters left: 3 (8 enodes)
1538655439.660 * * [misc]simplify:  iters left: 2 (10 enodes)
1538655439.662 * * [misc]simplify:  iters left: 1 (13 enodes)
1538655439.665 * [exit]simplify:  Simplified to (/ n (/ k 2))
1538655439.665 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (sqrt (/ n (/ k 2))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.665 * * * * [misc]progress:  [ 21 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (* 2 n)) (sqrt k))) (sqrt (/ (sqrt (* 2 n)) (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.665 * * * * [misc]progress:  [ 22 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (- (sqrt (* 2 n))) (- (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.665 * * * * [misc]progress:  [ 23 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.665 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655439.666 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655439.668 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655439.676 * * [misc]simplify:  iters left: 4 (27 enodes)
1538655439.685 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655439.694 * * [misc]simplify:  iters left: 2 (33 enodes)
1538655439.707 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))))
1538655439.707 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.707 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k)))
1538655439.708 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655439.711 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655439.715 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k)))
1538655439.715 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.715 * * * * [misc]progress:  [ 24 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.715 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (sqrt (sqrt k)))
1538655439.716 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655439.720 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655439.724 * * [misc]simplify:  iters left: 4 (15 enodes)
1538655439.729 * * [misc]simplify:  iters left: 3 (16 enodes)
1538655439.736 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 n))) (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k))))
1538655439.736 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (sqrt (* 2 n))) (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.736 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655439.737 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655439.740 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655439.744 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655439.744 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.744 * * * * [misc]progress:  [ 25 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1) (/ (cbrt (sqrt (* 2 n))) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.744 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1)
1538655439.745 * * [misc]simplify:  iters left: 6 (8 enodes)
1538655439.750 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655439.755 * * [misc]simplify:  iters left: 4 (19 enodes)
1538655439.762 * * [misc]simplify:  iters left: 3 (33 enodes)
1538655439.775 * * [misc]simplify:  iters left: 2 (59 enodes)
1538655439.793 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))
1538655439.793 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (/ (cbrt (sqrt (* 2 n))) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.793 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* 2 n))) (sqrt k))
1538655439.794 * * [misc]simplify:  iters left: 6 (8 enodes)
1538655439.797 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655439.800 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* 2 n))) (sqrt k))
1538655439.800 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (/ (cbrt (sqrt (* 2 n))) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.800 * * * * [misc]progress:  [ 26 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.800 * [enter]simplify:  Simplifying (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655439.801 * * [misc]simplify:  iters left: 6 (7 enodes)
1538655439.804 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655439.808 * [exit]simplify:  Simplified to (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655439.808 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.808 * [enter]simplify:  Simplifying (/ (sqrt n) (cbrt (sqrt k)))
1538655439.809 * * [misc]simplify:  iters left: 4 (6 enodes)
1538655439.810 * [exit]simplify:  Simplified to (/ (sqrt n) (cbrt (sqrt k)))
1538655439.810 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.810 * * * * [misc]progress:  [ 27 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (/ (sqrt n) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.810 * [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (sqrt k)))
1538655439.810 * * [misc]simplify:  iters left: 4 (6 enodes)
1538655439.812 * [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (sqrt k)))
1538655439.812 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (/ (sqrt n) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.812 * [enter]simplify:  Simplifying (/ (sqrt n) (sqrt (sqrt k)))
1538655439.812 * * [misc]simplify:  iters left: 4 (6 enodes)
1538655439.813 * [exit]simplify:  Simplified to (/ (sqrt n) (sqrt (sqrt k)))
1538655439.813 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (/ (sqrt n) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.813 * * * * [misc]progress:  [ 28 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 2) 1) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.813 * [enter]simplify:  Simplifying (/ (sqrt 2) 1)
1538655439.814 * * [misc]simplify:  iters left: 3 (4 enodes)
1538655439.815 * * [misc]simplify:  iters left: 2 (6 enodes)
1538655439.816 * * [misc]simplify:  iters left: 1 (8 enodes)
1538655439.818 * [exit]simplify:  Simplified to (sqrt 2)
1538655439.818 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.818 * [enter]simplify:  Simplifying (/ (sqrt n) (sqrt k))
1538655439.818 * * [misc]simplify:  iters left: 3 (5 enodes)
1538655439.819 * [exit]simplify:  Simplified to (/ (sqrt n) (sqrt k))
1538655439.819 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.819 * * * * [misc]progress:  [ 29 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.819 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655439.820 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655439.822 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655439.824 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655439.824 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.824 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) (cbrt (sqrt k)))
1538655439.825 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655439.826 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655439.828 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 n))) (cbrt (sqrt k)))
1538655439.828 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.828 * * * * [misc]progress:  [ 30 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.829 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655439.829 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655439.831 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655439.832 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655439.832 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.833 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655439.833 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655439.835 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655439.836 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655439.836 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.836 * * * * [misc]progress:  [ 31 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (* 2 n))) 1) (/ (sqrt (sqrt (* 2 n))) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.837 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) 1)
1538655439.837 * * [misc]simplify:  iters left: 6 (7 enodes)
1538655439.838 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655439.840 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655439.842 * [exit]simplify:  Simplified to (sqrt (sqrt (* 2 n)))
1538655439.842 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (sqrt (sqrt (* 2 n))) (/ (sqrt (sqrt (* 2 n))) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.842 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) (sqrt k))
1538655439.843 * * [misc]simplify:  iters left: 6 (8 enodes)
1538655439.844 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655439.845 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 n))) (sqrt k))
1538655439.845 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (sqrt (sqrt (* 2 n))) (/ (sqrt (sqrt (* 2 n))) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.845 * * * * [misc]progress:  [ 32 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* 2 n)) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.846 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655439.848 * * [misc]simplify:  iters left: 6 (6 enodes)
1538655439.850 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655439.852 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1538655439.852 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (* 2 n)) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.852 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (cbrt (sqrt k)))
1538655439.853 * * [misc]simplify:  iters left: 5 (8 enodes)
1538655439.856 * * [misc]simplify:  iters left: 4 (9 enodes)
1538655439.860 * [exit]simplify:  Simplified to (/ (sqrt (* 2 n)) (cbrt (sqrt k)))
1538655439.860 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* 2 n)) (cbrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.860 * * * * [misc]progress:  [ 33 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.860 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1538655439.861 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655439.863 * * [misc]simplify:  iters left: 3 (7 enodes)
1538655439.865 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1538655439.865 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.865 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (sqrt (sqrt k)))
1538655439.866 * * [misc]simplify:  iters left: 5 (8 enodes)
1538655439.868 * * [misc]simplify:  iters left: 4 (9 enodes)
1538655439.869 * [exit]simplify:  Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k)))
1538655439.869 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.869 * * * * [misc]progress:  [ 34 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.870 * [enter]simplify:  Simplifying (/ 1 1)
1538655439.870 * * [misc]simplify:  iters left: 2 (2 enodes)
1538655439.870 * * [misc]simplify:  iters left: 1 (4 enodes)
1538655439.871 * [exit]simplify:  Simplified to 1
1538655439.871 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.871 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (sqrt k))
1538655439.871 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655439.872 * * [misc]simplify:  iters left: 4 (8 enodes)
1538655439.874 * [exit]simplify:  Simplified to (/ (sqrt (* 2 n)) (sqrt k))
1538655439.874 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* 1 (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.874 * * * * [misc]progress:  [ 35 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.874 * * * * [misc]progress:  [ 36 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* 2 n)) (/ 1 (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.874 * * * * [misc]progress:  [ 37 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.874 * * * * [misc]progress:  [ 38 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.874 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1538655439.874 * * [misc]simplify:  iters left: 2 (3 enodes)
1538655439.875 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1538655439.875 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.875 * * * * [misc]progress:  [ 39 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.875 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538655439.876 * * [misc]simplify:  iters left: 2 (3 enodes)
1538655439.876 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538655439.876 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.876 * * * * [misc]progress:  [ 40 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (* 2 n)) 1) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.876 * [enter]simplify:  Simplifying (sqrt k)
1538655439.876 * * [misc]simplify:  iters left: 1 (2 enodes)
1538655439.877 * [exit]simplify:  Simplified to (sqrt k)
1538655439.877 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) 1) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.877 * * * * [misc]progress:  [ 41 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (/ (sqrt k) (cbrt (sqrt (* 2 n))))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.877 * [enter]simplify:  Simplifying (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))
1538655439.877 * * [misc]simplify:  iters left: 6 (6 enodes)
1538655439.879 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655439.880 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))
1538655439.880 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (/ (sqrt k) (cbrt (sqrt (* 2 n))))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.880 * * * * [misc]progress:  [ 42 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 2) (/ (sqrt k) (sqrt n))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.880 * [enter]simplify:  Simplifying (sqrt 2)
1538655439.880 * * [misc]simplify:  iters left: 1 (2 enodes)
1538655439.881 * [exit]simplify:  Simplified to (sqrt 2)
1538655439.881 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt k) (sqrt n))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.881 * * * * [misc]progress:  [ 43 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (* 2 n))) (/ (sqrt k) (sqrt (sqrt (* 2 n))))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.881 * [enter]simplify:  Simplifying (sqrt (sqrt (* 2 n)))
1538655439.882 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655439.883 * * [misc]simplify:  iters left: 3 (6 enodes)
1538655439.884 * [exit]simplify:  Simplified to (sqrt (sqrt (* 2 n)))
1538655439.884 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 n))) (/ (sqrt k) (sqrt (sqrt (* 2 n))))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655439.884 * * * * [misc]progress:  [ 44 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 45 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (log1p (expm1 (* PI (* n 2)))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 46 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (expm1 (log1p (* PI (* n 2)))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 47 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (pow (* PI (* n 2)) 1) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 48 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (exp (log (* PI (* n 2)))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 49 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (log (exp (* PI (* n 2)))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 50 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 51 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 52 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 53 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* 1 (* PI (* n 2))) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 54 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* PI n) 2) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 55 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))))>
1538655439.884 * * * * [misc]progress:  [ 56 / 123 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655439.884 * * * * [misc]progress:  [ 57 / 123 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655439.884 * * * * [misc]progress:  [ 58 / 123 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) 1))>
1538655439.884 * [enter]simplify:  Simplifying (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))
1538655439.885 * * [misc]simplify:  iters left: 6 (15 enodes)
1538655439.889 * * [misc]simplify:  iters left: 5 (23 enodes)
1538655439.894 * * [misc]simplify:  iters left: 4 (40 enodes)
1538655439.902 * * [misc]simplify:  iters left: 3 (56 enodes)
1538655439.912 * * [misc]simplify:  iters left: 2 (74 enodes)
1538655439.926 * * [misc]simplify:  iters left: 1 (90 enodes)
1538655439.956 * [exit]simplify:  Simplified to (/ (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))) (pow (* (* n PI) 2) (/ k 2)))
1538655439.956 * [misc]simplify:  Simplified (2 1) to (λ (k n) (pow (/ (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))) (pow (* (* n PI) 2) (/ k 2))) 1))
1538655439.956 * * * * [misc]progress:  [ 59 / 123 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) 1))>
1538655439.956 * * * * [misc]progress:  [ 60 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655439.957 * [enter]simplify:  Simplifying (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))
1538655439.958 * * [misc]simplify:  iters left: 6 (19 enodes)
1538655439.963 * * [misc]simplify:  iters left: 5 (37 enodes)
1538655439.975 * * [misc]simplify:  iters left: 4 (89 enodes)
1538655440.015 * * [misc]simplify:  iters left: 3 (236 enodes)
1538655440.217 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 (* n PI))) (- (log (sqrt k)) (log (sqrt PI)))))
1538655440.218 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 (* n PI))) (- (log (sqrt k)) (log (sqrt PI)))))))
1538655440.218 * * * * [misc]progress:  [ 61 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655440.218 * [enter]simplify:  Simplifying (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))
1538655440.219 * * [misc]simplify:  iters left: 6 (19 enodes)
1538655440.224 * * [misc]simplify:  iters left: 5 (37 enodes)
1538655440.236 * * [misc]simplify:  iters left: 4 (89 enodes)
1538655440.301 * * [misc]simplify:  iters left: 3 (236 enodes)
1538655440.490 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 (* n PI))) (- (log (sqrt k)) (log (sqrt PI)))))
1538655440.490 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 (* n PI))) (- (log (sqrt k)) (log (sqrt PI)))))))
1538655440.490 * * * * [misc]progress:  [ 62 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (- (log (sqrt PI)) (log (pow (* PI (* n 2)) (/ k 2)))))))>
1538655440.490 * [enter]simplify:  Simplifying (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (- (log (sqrt PI)) (log (pow (* PI (* n 2)) (/ k 2)))))
1538655440.492 * * [misc]simplify:  iters left: 6 (19 enodes)
1538655440.496 * * [misc]simplify:  iters left: 5 (33 enodes)
1538655440.506 * * [misc]simplify:  iters left: 4 (77 enodes)
1538655440.548 * * [misc]simplify:  iters left: 3 (211 enodes)
1538655440.793 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* n (* PI 2))) (- (log (sqrt k)) (log (sqrt PI)))))
1538655440.793 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* n (* PI 2))) (- (log (sqrt k)) (log (sqrt PI)))))))
1538655440.793 * * * * [misc]progress:  [ 63 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (log (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655440.793 * [enter]simplify:  Simplifying (+ (- (log (sqrt (* 2 n))) (log (sqrt k))) (log (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655440.794 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655440.798 * * [misc]simplify:  iters left: 5 (29 enodes)
1538655440.806 * * [misc]simplify:  iters left: 4 (55 enodes)
1538655440.821 * * [misc]simplify:  iters left: 3 (118 enodes)
1538655440.869 * * [misc]simplify:  iters left: 2 (313 enodes)
1538655441.495 * [exit]simplify:  Simplified to (- (+ (log (sqrt (* 2 n))) (log (sqrt PI))) (fma (/ k 2) (log (* (* n PI) 2)) (log (sqrt k))))
1538655441.495 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt (* 2 n))) (log (sqrt PI))) (fma (/ k 2) (log (* (* n PI) 2)) (log (sqrt k))))))
1538655441.495 * * * * [misc]progress:  [ 64 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655441.495 * [enter]simplify:  Simplifying (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))
1538655441.498 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655441.507 * * [misc]simplify:  iters left: 5 (35 enodes)
1538655441.526 * * [misc]simplify:  iters left: 4 (79 enodes)
1538655441.555 * * [misc]simplify:  iters left: 3 (203 enodes)
1538655441.689 * [exit]simplify:  Simplified to (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (fma (/ (- k) 2) (log (* 2 (* PI n))) (log (sqrt PI))))
1538655441.689 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (fma (/ (- k) 2) (log (* 2 (* PI n))) (log (sqrt PI))))))
1538655441.689 * * * * [misc]progress:  [ 65 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))))>
1538655441.689 * [enter]simplify:  Simplifying (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (- (log (sqrt PI)) (* (log (* PI (* n 2))) (/ k 2))))
1538655441.690 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655441.695 * * [misc]simplify:  iters left: 5 (35 enodes)
1538655441.705 * * [misc]simplify:  iters left: 4 (79 enodes)
1538655441.739 * * [misc]simplify:  iters left: 3 (203 enodes)
1538655441.889 * [exit]simplify:  Simplified to (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (fma (/ (- k) 2) (log (* 2 (* PI n))) (log (sqrt PI))))
1538655441.889 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (fma (/ (- k) 2) (log (* 2 (* PI n))) (log (sqrt PI))))))
1538655441.889 * * * * [misc]progress:  [ 66 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (- (log (sqrt PI)) (log (pow (* PI (* n 2)) (/ k 2)))))))>
1538655441.890 * [enter]simplify:  Simplifying (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (- (log (sqrt PI)) (log (pow (* PI (* n 2)) (/ k 2)))))
1538655441.892 * * [misc]simplify:  iters left: 6 (18 enodes)
1538655441.899 * * [misc]simplify:  iters left: 5 (31 enodes)
1538655441.911 * * [misc]simplify:  iters left: 4 (67 enodes)
1538655441.936 * * [misc]simplify:  iters left: 3 (181 enodes)
1538655442.142 * [exit]simplify:  Simplified to (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (fma (- (/ k 2)) (log (* (* 2 PI) n)) (log (sqrt PI))))
1538655442.142 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (fma (- (/ k 2)) (log (* (* 2 PI) n)) (log (sqrt PI))))))
1538655442.143 * * * * [misc]progress:  [ 67 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (log (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655442.143 * [enter]simplify:  Simplifying (+ (log (/ (sqrt (* 2 n)) (sqrt k))) (log (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655442.145 * * [misc]simplify:  iters left: 6 (17 enodes)
1538655442.153 * * [misc]simplify:  iters left: 5 (27 enodes)
1538655442.165 * * [misc]simplify:  iters left: 4 (47 enodes)
1538655442.190 * * [misc]simplify:  iters left: 3 (100 enodes)
1538655442.260 * * [misc]simplify:  iters left: 2 (282 enodes)
1538655442.797 * [exit]simplify:  Simplified to (+ (fma (/ (- k) 2) (log (* (* PI n) 2)) (log (sqrt PI))) (log (/ (sqrt (* 2 n)) (sqrt k))))
1538655442.797 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- k) 2) (log (* (* PI n) 2)) (log (sqrt PI))) (log (/ (sqrt (* 2 n)) (sqrt k))))))
1538655442.797 * * * * [misc]progress:  [ 68 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655442.797 * * * * [misc]progress:  [ 69 / 123 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655442.797 * * * * [misc]progress:  [ 70 / 123 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655442.797 * [enter]simplify:  Simplifying (* (/ (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))
1538655442.800 * * [misc]simplify:  iters left: 6 (23 enodes)
1538655442.806 * * [misc]simplify:  iters left: 5 (49 enodes)
1538655442.834 * * [misc]simplify:  iters left: 4 (192 enodes)
1538655443.148 * [exit]simplify:  Simplified to (/ (* (* (* PI (sqrt PI)) (/ (* 2 n) k)) (/ (sqrt (* 2 n)) (sqrt k))) (pow (pow (* PI (* 2 n)) (/ k 2)) 3))
1538655443.148 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* PI (sqrt PI)) (/ (* 2 n) k)) (/ (sqrt (* 2 n)) (sqrt k))) (pow (pow (* PI (* 2 n)) (/ k 2)) 3))))
1538655443.148 * * * * [misc]progress:  [ 71 / 123 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655443.148 * [enter]simplify:  Simplifying (* (/ (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655443.150 * * [misc]simplify:  iters left: 6 (21 enodes)
1538655443.156 * * [misc]simplify:  iters left: 5 (45 enodes)
1538655443.176 * * [misc]simplify:  iters left: 4 (167 enodes)
1538655443.504 * [exit]simplify:  Simplified to (* (/ (/ PI (pow (* PI (* 2 n)) (/ k 2))) (pow (* PI (* 2 n)) (/ k 2))) (* (* (/ (sqrt (* 2 n)) k) (/ (* 2 n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* 2 n)) (/ k 2)))))
1538655443.504 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ PI (pow (* PI (* 2 n)) (/ k 2))) (pow (* PI (* 2 n)) (/ k 2))) (* (* (/ (sqrt (* 2 n)) k) (/ (* 2 n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* 2 n)) (/ k 2)))))))
1538655443.504 * * * * [misc]progress:  [ 72 / 123 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655443.504 * [enter]simplify:  Simplifying (* (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))))
1538655443.507 * * [misc]simplify:  iters left: 6 (21 enodes)
1538655443.519 * * [misc]simplify:  iters left: 5 (45 enodes)
1538655443.555 * * [misc]simplify:  iters left: 4 (153 enodes)
1538655443.803 * [exit]simplify:  Simplified to (* (/ (/ (/ (* 2 n) (sqrt k)) (sqrt k)) (pow (* 2 (* n PI)) (/ k 2))) (/ (/ (* (sqrt (* 2 n)) (* PI (sqrt PI))) (sqrt k)) (* (pow (* 2 (* n PI)) (/ k 2)) (pow (* 2 (* n PI)) (/ k 2)))))
1538655443.803 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (/ (* 2 n) (sqrt k)) (sqrt k)) (pow (* 2 (* n PI)) (/ k 2))) (/ (/ (* (sqrt (* 2 n)) (* PI (sqrt PI))) (sqrt k)) (* (pow (* 2 (* n PI)) (/ k 2)) (pow (* 2 (* n PI)) (/ k 2)))))))
1538655443.803 * * * * [misc]progress:  [ 73 / 123 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt (* 2 n)) (sqrt k))) (* (* (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655443.803 * [enter]simplify:  Simplifying (* (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt (* 2 n)) (sqrt k))) (* (* (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655443.806 * * [misc]simplify:  iters left: 6 (19 enodes)
1538655443.817 * * [misc]simplify:  iters left: 5 (41 enodes)
1538655443.834 * * [misc]simplify:  iters left: 4 (124 enodes)
1538655443.927 * * [misc]simplify:  iters left: 3 (380 enodes)
1538655444.536 * [exit]simplify:  Simplified to (/ (/ (/ PI (pow (* (* 2 n) PI) (/ k 2))) (pow (* (* 2 n) PI) (/ k 2))) (* (* (/ (sqrt k) (* 2 n)) (/ k (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))
1538655444.536 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (/ (/ PI (pow (* (* 2 n) PI) (/ k 2))) (pow (* (* 2 n) PI) (/ k 2))) (* (* (/ (sqrt k) (* 2 n)) (/ k (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))))
1538655444.536 * * * * [misc]progress:  [ 74 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) (cbrt (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))) (cbrt (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655444.536 * * * * [misc]progress:  [ 75 / 123 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655444.536 * * * * [misc]progress:  [ 76 / 123 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))))>
1538655444.536 * * * * [misc]progress:  [ 77 / 123 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538655444.536 * [enter]simplify:  Simplifying (* (sqrt (* 2 n)) (sqrt PI))
1538655444.537 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655444.538 * * [misc]simplify:  iters left: 4 (9 enodes)
1538655444.540 * [exit]simplify:  Simplified to (* (sqrt (* 2 n)) (sqrt PI))
1538655444.540 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538655444.540 * [enter]simplify:  Simplifying (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))
1538655444.541 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655444.543 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655444.546 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655444.549 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655444.552 * [exit]simplify:  Simplified to (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))
1538655444.553 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (* (pow (* PI (* n 2)) (/ k 2)) (sqrt k))))
1538655444.553 * * * * [misc]progress:  [ 78 / 123 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.553 * * * * [misc]progress:  [ 79 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (* (cbrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))) (cbrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.553 * [enter]simplify:  Simplifying (cbrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))
1538655444.553 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655444.556 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655444.558 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655444.562 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655444.565 * [exit]simplify:  Simplified to (cbrt (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))
1538655444.566 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (* (cbrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))) (cbrt (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))))
1538655444.566 * * * * [misc]progress:  [ 80 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (sqrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.566 * [enter]simplify:  Simplifying (sqrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))
1538655444.566 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655444.570 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655444.577 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655444.583 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655444.591 * [exit]simplify:  Simplified to (sqrt (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))
1538655444.591 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (sqrt (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))))
1538655444.591 * * * * [misc]progress:  [ 81 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (pow PI (/ k 2)))) (/ (cbrt (sqrt PI)) (pow (* n 2) (/ k 2)))))>
1538655444.591 * [enter]simplify:  Simplifying (/ (cbrt (sqrt PI)) (pow (* n 2) (/ k 2)))
1538655444.592 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655444.595 * * [misc]simplify:  iters left: 4 (11 enodes)
1538655444.599 * [exit]simplify:  Simplified to (/ (cbrt (sqrt PI)) (pow (* n 2) (/ k 2)))
1538655444.599 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (pow PI (/ k 2)))) (/ (cbrt (sqrt PI)) (pow (* n 2) (/ k 2)))))
1538655444.599 * * * * [misc]progress:  [ 82 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.599 * [enter]simplify:  Simplifying (/ (cbrt (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ k 2))))
1538655444.601 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655444.605 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655444.610 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655444.617 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655444.627 * [exit]simplify:  Simplified to (/ (cbrt (sqrt PI)) (cbrt (pow (* n (* 2 PI)) (/ k 2))))
1538655444.627 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt PI)) (cbrt (pow (* n (* 2 PI)) (/ k 2))))))
1538655444.627 * * * * [misc]progress:  [ 83 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (cbrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.628 * [enter]simplify:  Simplifying (/ (cbrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1538655444.629 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655444.634 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655444.638 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655444.642 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655444.646 * [exit]simplify:  Simplified to (/ (cbrt (sqrt PI)) (sqrt (pow (* n (* 2 PI)) (/ k 2))))
1538655444.646 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (cbrt (sqrt PI)) (sqrt (pow (* n (* 2 PI)) (/ k 2))))))
1538655444.646 * * * * [misc]progress:  [ 84 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1)) (/ (cbrt (sqrt PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655444.646 * [enter]simplify:  Simplifying (/ (cbrt (sqrt PI)) (pow (* PI (* n 2)) (/ k 2)))
1538655444.647 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655444.649 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655444.652 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655444.656 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655444.660 * [exit]simplify:  Simplified to (/ (cbrt (sqrt PI)) (pow (* (* n PI) 2) (/ k 2)))
1538655444.660 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1)) (/ (cbrt (sqrt PI)) (pow (* (* n PI) 2) (/ k 2)))))
1538655444.660 * * * * [misc]progress:  [ 85 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (pow PI (/ k 2)))) (/ (sqrt (sqrt PI)) (pow (* n 2) (/ k 2)))))>
1538655444.660 * [enter]simplify:  Simplifying (/ (sqrt (sqrt PI)) (pow (* n 2) (/ k 2)))
1538655444.661 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655444.663 * * [misc]simplify:  iters left: 4 (11 enodes)
1538655444.665 * [exit]simplify:  Simplified to (/ (sqrt (sqrt PI)) (pow (* n 2) (/ k 2)))
1538655444.665 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (pow PI (/ k 2)))) (/ (sqrt (sqrt PI)) (pow (* n 2) (/ k 2)))))
1538655444.665 * * * * [misc]progress:  [ 86 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.665 * [enter]simplify:  Simplifying (/ (sqrt (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ k 2))))
1538655444.666 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655444.669 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655444.672 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655444.675 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655444.680 * [exit]simplify:  Simplified to (/ (sqrt (sqrt PI)) (cbrt (pow (* n (* 2 PI)) (/ k 2))))
1538655444.680 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt PI)) (cbrt (pow (* n (* 2 PI)) (/ k 2))))))
1538655444.680 * * * * [misc]progress:  [ 87 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.680 * [enter]simplify:  Simplifying (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1538655444.682 * * [misc]simplify:  iters left: 6 (12 enodes)
1538655444.686 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655444.693 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655444.698 * * [misc]simplify:  iters left: 3 (24 enodes)
1538655444.702 * [exit]simplify:  Simplified to (/ (sqrt (sqrt PI)) (sqrt (pow (* n (* 2 PI)) (/ k 2))))
1538655444.702 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* n (* 2 PI)) (/ k 2))))))
1538655444.702 * * * * [misc]progress:  [ 88 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) 1)) (/ (sqrt (sqrt PI)) (pow (* PI (* n 2)) (/ k 2)))))>
1538655444.702 * [enter]simplify:  Simplifying (/ (sqrt (sqrt PI)) (pow (* PI (* n 2)) (/ k 2)))
1538655444.704 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655444.706 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655444.709 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655444.713 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655444.716 * [exit]simplify:  Simplified to (/ (sqrt (sqrt PI)) (pow (* (* n PI) 2) (/ k 2)))
1538655444.717 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) 1)) (/ (sqrt (sqrt PI)) (pow (* (* n PI) 2) (/ k 2)))))
1538655444.717 * * * * [misc]progress:  [ 89 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 (pow PI (/ k 2)))) (/ (sqrt PI) (pow (* n 2) (/ k 2)))))>
1538655444.717 * [enter]simplify:  Simplifying (/ (sqrt PI) (pow (* n 2) (/ k 2)))
1538655444.717 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655444.719 * * [misc]simplify:  iters left: 4 (10 enodes)
1538655444.721 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow (* n 2) (/ k 2)))
1538655444.721 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 (pow PI (/ k 2)))) (/ (sqrt PI) (pow (* n 2) (/ k 2)))))
1538655444.721 * * * * [misc]progress:  [ 90 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt PI) (cbrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.721 * [enter]simplify:  Simplifying (/ (sqrt PI) (cbrt (pow (* PI (* n 2)) (/ k 2))))
1538655444.721 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655444.724 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655444.727 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655444.736 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655444.744 * [exit]simplify:  Simplified to (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2))))
1538655444.744 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2))))))
1538655444.744 * * * * [misc]progress:  [ 91 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt PI) (sqrt (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.744 * [enter]simplify:  Simplifying (/ (sqrt PI) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1538655444.745 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655444.750 * * [misc]simplify:  iters left: 5 (15 enodes)
1538655444.756 * * [misc]simplify:  iters left: 4 (21 enodes)
1538655444.763 * * [misc]simplify:  iters left: 3 (22 enodes)
1538655444.770 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (pow (* (* n 2) PI) (/ k 2))))
1538655444.770 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt PI) (sqrt (pow (* (* n 2) PI) (/ k 2))))))
1538655444.771 * * * * [misc]progress:  [ 92 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 1)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655444.771 * [enter]simplify:  Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))
1538655444.772 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655444.776 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655444.781 * * [misc]simplify:  iters left: 4 (20 enodes)
1538655444.788 * * [misc]simplify:  iters left: 3 (21 enodes)
1538655444.796 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))
1538655444.796 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ 1 1)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))))
1538655444.796 * * * * [misc]progress:  [ 93 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) 1) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655444.796 * [enter]simplify:  Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))
1538655444.797 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655444.801 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655444.807 * * [misc]simplify:  iters left: 4 (20 enodes)
1538655444.816 * * [misc]simplify:  iters left: 3 (21 enodes)
1538655444.824 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))
1538655444.824 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) 1) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))))
1538655444.824 * * * * [misc]progress:  [ 94 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (sqrt PI)) (/ 1 (pow (* PI (* n 2)) (/ k 2)))))>
1538655444.824 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) (/ k 2)))
1538655444.825 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655444.830 * * [misc]simplify:  iters left: 5 (16 enodes)
1538655444.836 * * [misc]simplify:  iters left: 4 (22 enodes)
1538655444.845 * * [misc]simplify:  iters left: 3 (23 enodes)
1538655444.853 * [exit]simplify:  Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2)))
1538655444.853 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (sqrt PI)) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))
1538655444.853 * * * * [misc]progress:  [ 95 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (sqrt (* 2 n)) (sqrt k))) (cbrt (/ (sqrt (* 2 n)) (sqrt k)))) (* (cbrt (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.853 * [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (* 2 n)) (sqrt k))) (cbrt (/ (sqrt (* 2 n)) (sqrt k))))
1538655444.854 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655444.857 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655444.861 * [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* 2 n)) (sqrt k))) (cbrt (/ (sqrt (* 2 n)) (sqrt k))))
1538655444.861 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (sqrt (* 2 n)) (sqrt k))) (cbrt (/ (sqrt (* 2 n)) (sqrt k)))) (* (cbrt (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.861 * * * * [misc]progress:  [ 96 / 123 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (* 2 n)) (sqrt k))) (* (sqrt (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.862 * [enter]simplify:  Simplifying (sqrt (/ (sqrt (* 2 n)) (sqrt k)))
1538655444.862 * * [misc]simplify:  iters left: 6 (8 enodes)
1538655444.865 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655444.869 * [exit]simplify:  Simplified to (sqrt (/ (sqrt (* 2 n)) (sqrt k)))
1538655444.869 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* 2 n)) (sqrt k))) (* (sqrt (/ (sqrt (* 2 n)) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.870 * * * * [misc]progress:  [ 97 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.870 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655444.871 * * [misc]simplify:  iters left: 6 (11 enodes)
1538655444.876 * * [misc]simplify:  iters left: 5 (18 enodes)
1538655444.881 * * [misc]simplify:  iters left: 4 (27 enodes)
1538655444.886 * * [misc]simplify:  iters left: 3 (30 enodes)
1538655444.890 * * [misc]simplify:  iters left: 2 (33 enodes)
1538655444.896 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))))
1538655444.897 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k)))) (* (/ (cbrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.897 * * * * [misc]progress:  [ 98 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (sqrt (sqrt k))) (* (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.897 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (sqrt (sqrt k)))
1538655444.898 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655444.899 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655444.901 * * [misc]simplify:  iters left: 4 (15 enodes)
1538655444.904 * * [misc]simplify:  iters left: 3 (16 enodes)
1538655444.907 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 n))) (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k))))
1538655444.907 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* 2 n))) (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt (* 2 n))) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.907 * * * * [misc]progress:  [ 99 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1) (* (/ (cbrt (sqrt (* 2 n))) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.907 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1)
1538655444.908 * * [misc]simplify:  iters left: 6 (8 enodes)
1538655444.909 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655444.912 * * [misc]simplify:  iters left: 4 (19 enodes)
1538655444.918 * * [misc]simplify:  iters left: 3 (33 enodes)
1538655444.931 * * [misc]simplify:  iters left: 2 (59 enodes)
1538655444.950 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))
1538655444.950 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (/ (cbrt (sqrt (* 2 n))) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.950 * * * * [misc]progress:  [ 100 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt n) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.950 * [enter]simplify:  Simplifying (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655444.951 * * [misc]simplify:  iters left: 6 (7 enodes)
1538655444.955 * * [misc]simplify:  iters left: 5 (9 enodes)
1538655444.957 * [exit]simplify:  Simplified to (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655444.957 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt n) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.957 * * * * [misc]progress:  [ 101 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 2) (sqrt (sqrt k))) (* (/ (sqrt n) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.958 * [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (sqrt k)))
1538655444.958 * * [misc]simplify:  iters left: 4 (6 enodes)
1538655444.960 * [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (sqrt k)))
1538655444.960 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (sqrt (sqrt k))) (* (/ (sqrt n) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.960 * * * * [misc]progress:  [ 102 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 2) 1) (* (/ (sqrt n) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.960 * [enter]simplify:  Simplifying (/ (sqrt 2) 1)
1538655444.960 * * [misc]simplify:  iters left: 3 (4 enodes)
1538655444.962 * * [misc]simplify:  iters left: 2 (6 enodes)
1538655444.963 * * [misc]simplify:  iters left: 1 (8 enodes)
1538655444.964 * [exit]simplify:  Simplified to (sqrt 2)
1538655444.965 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt 2) (* (/ (sqrt n) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.965 * * * * [misc]progress:  [ 103 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.965 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655444.965 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655444.967 * * [misc]simplify:  iters left: 5 (13 enodes)
1538655444.970 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655444.970 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt (sqrt (* 2 n))) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.970 * * * * [misc]progress:  [ 104 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k))) (* (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.970 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655444.970 * * [misc]simplify:  iters left: 6 (9 enodes)
1538655444.972 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655444.974 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k)))
1538655444.974 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k))) (* (/ (sqrt (sqrt (* 2 n))) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.974 * * * * [misc]progress:  [ 105 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (* 2 n))) 1) (* (/ (sqrt (sqrt (* 2 n))) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.974 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* 2 n))) 1)
1538655444.974 * * [misc]simplify:  iters left: 6 (7 enodes)
1538655444.976 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655444.978 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655444.979 * [exit]simplify:  Simplified to (sqrt (sqrt (* 2 n)))
1538655444.979 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* 2 n))) (* (/ (sqrt (sqrt (* 2 n))) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.979 * * * * [misc]progress:  [ 106 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.979 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538655444.980 * * [misc]simplify:  iters left: 6 (6 enodes)
1538655444.981 * * [misc]simplify:  iters left: 5 (10 enodes)
1538655444.983 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1538655444.983 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.983 * * * * [misc]progress:  [ 107 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.983 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1538655444.983 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655444.984 * * [misc]simplify:  iters left: 3 (7 enodes)
1538655444.985 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1538655444.985 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.985 * * * * [misc]progress:  [ 108 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.986 * [enter]simplify:  Simplifying (/ 1 1)
1538655444.986 * * [misc]simplify:  iters left: 2 (2 enodes)
1538655444.986 * * [misc]simplify:  iters left: 1 (4 enodes)
1538655444.987 * [exit]simplify:  Simplified to 1
1538655444.987 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.987 * * * * [misc]progress:  [ 109 / 123 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.987 * * * * [misc]progress:  [ 110 / 123 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))>
1538655444.987 * [enter]simplify:  Simplifying (sqrt (* 2 n))
1538655444.987 * * [misc]simplify:  iters left: 3 (4 enodes)
1538655444.988 * * [misc]simplify:  iters left: 2 (5 enodes)
1538655444.990 * [exit]simplify:  Simplified to (sqrt (* 2 n))
1538655444.990 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))
1538655444.990 * * * * [misc]progress:  [ 111 / 123 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (* 2 n)) (sqrt k)) (sqrt PI)) (pow (* PI (* n 2)) (/ k 2))))>
1538655444.991 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538655444.991 * * [misc]simplify:  iters left: 5 (8 enodes)
1538655444.995 * * [misc]simplify:  iters left: 4 (12 enodes)
1538655445.001 * * [misc]simplify:  iters left: 3 (18 enodes)
1538655445.007 * * [misc]simplify:  iters left: 2 (20 enodes)
1538655445.014 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538655445.014 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (/ (sqrt (* 2 n)) (sqrt k)) (sqrt PI)) (pow (* (* 2 n) PI) (/ k 2))))
1538655445.014 * * * * [misc]progress:  [ 112 / 123 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* 2 n)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))>
1538655445.015 * [enter]simplify:  Simplifying (* (sqrt (* 2 n)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))
1538655445.016 * * [misc]simplify:  iters left: 6 (13 enodes)
1538655445.025 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655445.034 * * [misc]simplify:  iters left: 4 (29 enodes)
1538655445.044 * * [misc]simplify:  iters left: 3 (32 enodes)
1538655445.053 * * [misc]simplify:  iters left: 2 (34 enodes)
1538655445.064 * * [misc]simplify:  iters left: 1 (35 enodes)
1538655445.077 * [exit]simplify:  Simplified to (/ (* (sqrt (* 2 n)) (sqrt PI)) (pow (* (* PI 2) n) (/ k 2)))
1538655445.077 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (* (sqrt (* 2 n)) (sqrt PI)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k)))
1538655445.077 * * * * [misc]progress:  [ 113 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) (/ (sqrt (* 2 n)) (sqrt k))))>
1538655445.077 * * * * [misc]progress:  [ 114 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655445.077 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (sqrt k))
1538655445.079 * * [misc]simplify:  iters left: 5 (7 enodes)
1538655445.081 * * [misc]simplify:  iters left: 4 (8 enodes)
1538655445.085 * [exit]simplify:  Simplified to (/ (sqrt (* 2 n)) (sqrt k))
1538655445.085 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655445.085 * [enter]simplify:  Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))
1538655445.086 * * [misc]simplify:  iters left: 6 (10 enodes)
1538655445.091 * * [misc]simplify:  iters left: 5 (14 enodes)
1538655445.097 * * [misc]simplify:  iters left: 4 (20 enodes)
1538655445.103 * * [misc]simplify:  iters left: 3 (21 enodes)
1538655445.110 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))
1538655445.111 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2)))))
1538655445.111 * * * * [misc]progress:  [ 115 / 123 ] simplifiying candidate #<alt (λ (k n) (* (* +nan.0 (/ (* (sqrt 2) n) k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655445.111 * [enter]simplify:  Simplifying (* +nan.0 (/ (* (sqrt 2) n) k))
1538655445.111 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655445.111 * * * * [misc]progress:  [ 116 / 123 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ (sqrt 2) k)) (- (+ (* +nan.0 (/ (sqrt 2) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (sqrt 2) (* n (pow k 2))))))))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655445.111 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (sqrt 2) k)) (- (+ (* +nan.0 (/ (sqrt 2) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (sqrt 2) (* n (pow k 2)))))))))
1538655445.111 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655445.111 * * * * [misc]progress:  [ 117 / 123 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))>
1538655445.112 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))
1538655445.112 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))
1538655445.112 * * * * [misc]progress:  [ 118 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655445.112 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655445.112 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655445.115 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655445.119 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655445.125 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655445.130 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655445.130 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* PI n) 2) (/ k 2)))))
1538655445.130 * * * * [misc]progress:  [ 119 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655445.131 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655445.131 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655445.134 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655445.138 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655445.143 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655445.149 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655445.149 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* PI n) 2) (/ k 2)))))
1538655445.149 * * * * [misc]progress:  [ 120 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* 2 (* n PI)) (/ k 2)))))>
1538655445.149 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538655445.149 * * [misc]simplify:  iters left: 4 (5 enodes)
1538655445.152 * * [misc]simplify:  iters left: 3 (9 enodes)
1538655445.156 * * [misc]simplify:  iters left: 2 (15 enodes)
1538655445.164 * * [misc]simplify:  iters left: 1 (17 enodes)
1538655445.169 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538655445.169 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* PI n) 2) (/ k 2)))))
1538655445.169 * * * * [misc]progress:  [ 121 / 123 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))))>
1538655445.170 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1538655445.170 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655445.170 * * * * [misc]progress:  [ 122 / 123 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))))>
1538655445.170 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2))))))))))
1538655445.170 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655445.170 * * * * [misc]progress:  [ 123 / 123 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n)) (sqrt PI))) (- (* +nan.0 (* (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (sqrt PI)))))))))>
1538655445.171 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n)) (sqrt PI))) (- (* +nan.0 (* (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (sqrt PI))))))))
1538655445.171 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538655445.171 * * * [misc]progress:  adding candidates to table
1538655448.511 * [misc]progress:  [Phase 3 of 3] Extracting.
1538655448.512 * * [misc]regime:  Finding splitpoints for: (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655448.531 * * * [misc]regime-changes:  Trying 4 branch expressions: (n k (sqrt k) (/ 1 (sqrt k)))
1538655448.531 * * * * [misc]regimes:  Trying to branch on n from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655448.655 * * * * [misc]regimes:  Trying to branch on n from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655448.766 * * * * [misc]regimes:  Trying to branch on k from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655448.904 * * * * [misc]regimes:  Trying to branch on k from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655449.027 * * * * [misc]regimes:  Trying to branch on (sqrt k) from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655449.174 * * * * [misc]regimes:  Trying to branch on (sqrt k) from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655449.330 * * * * [misc]regimes:  Trying to branch on (/ 1 (sqrt k)) from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655449.530 * * * * [misc]regimes:  Trying to branch on (/ 1 (sqrt k)) from (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>)
1538655449.699 * * * [misc]regime:  Found split indices: #(struct:option (#(struct:si 0 256)) (#<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt 2) (/ (sqrt n) (sqrt k))) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2)))))> #<alt (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (sqrt (* 2 n)) (* (/ 1 (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))))>) ((9.403507479508717e+306 2.3470301452548775e+35) (2.737057812224211e+295 1.1374308509903049e+169) (1.8792203718667247e+294 3.878572697595009e+37) (2.7896864712808334e+293 1.1723638918914194) (1.9183821342304855e+293 3.138708811315263e+57) (6.376440114565636e+274 5.707588010889047e+276) (5.497560774514198e+273 1.3572383729690854e+306) (4.915143015682366e+272 7.909925606645088e+222) (3.1416737769516896e+270 6.900473916826005e+60) (1.930905048597348e+269 6.53178453666113e+100) (8.555454149683198e+266 5.267653138384563e+206) (8.536302531686483e+264 2.41147719150417e+78) (3.613395715056983e+263 5.984147419163635e+291) (1.1206851769357583e+260 2.4946148214704634e+144) (6.467601303806988e+259 1.3801395218165121e+163) (2.308328041970008e+244 1.1201233656890793e+128) (4.195976282969097e+236 1.1371635332750091e+189) (2.5683572981391188e+234 6.171587366893868e+221) (3.27349326350321e+228 2.0140687136526414e+68) (4.238689664042847e+222 10.872535947221028) (5.652405452523901e+206 1.3726649462634226e+224) (1.0118284437563069e+206 5.173097033534345e+176) (2.2800760218815483e+204 8.501881297283986e+209) (1.223964547045453e+201 3.7286903188849534e+114) (4.397958420005022e+196 44526017338106.63) (7.726616091470462e+193 2.067262919167755e+56) (8.784828328531957e+191 6.195304174410231e+286) (6.313436142578409e+189 1.122339492121539e+205) (4.644584535963282e+188 2.826146174970957e+33) (2.5829173957357483e+183 2.2578970934618854e+67) (6.19706429598985e+164 1.3246774347972558e+244) (4.2111919525787925e+162 3.526979786698809e+75) (1.3701083324299761e+162 5.099933181321802e+240) (7.293586500619089e+153 6.433663096121232e+177) (1.1284504676017731e+150 1.3477760837373167e+278) (1.1133376862455402e+150 4.9877235885342065e+160) (1.9800120351188318e+148 1.0092347660398984e+34) (2.3594487108416626e+145 7.444776605213216e+93) (1.0406294839217018e+141 5.47282245161396e+149) (1.7679782644206266e+139 3.391863070703905e+267) (4.657790213894687e+130 3285804991339108.5) (2.9287215305298154e+130 6.87032493153261e+301) (1.201090666611701e+126 9.306073106594881e+167) (3.166800086858478e+124 1.3108225096948965e+94) (1.5213897983521498e+122 585628659361.7908) (1.0929239380058157e+109 7.951215369570982e+234) (2.5447417331072905e+107 1.095395855540821e+281) (1.5721373574251358e+104 4.046127848973437e+288) (6.199100434003459e+103 5.683800095630151e+218) (3.0668626631274822e+100 2.25697131140777e+21) (2.4187610158804313e+86 3.744217854825797e+238) (8.539234192968069e+81 2.8039564710765907e+171) (6.001405477031677e+81 3.729671959290181e+89) (1.7812785224209304e+79 2.420341934450224e+229) (1.177136377909843e+76 4.115655520570219e+259) (1.296688635168975e+73 3.261481167327858e+251) (1.0037792899820536e+70 4.589407552007822e+259) (4.767698383479992e+67 4.151017761434541e+29) (1.4121843253598455e+62 127.97654370995855) (1.1775821983897288e+60 1.693878837895578e+166) (1.0729725424082722e+53 8.515410300114879e+285) 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(2.2592773410160867e-140 6.072058408060111e+179) (9.985952349100821e-141 2.0090535289194694e-135) (2.4421985949787955e-141 5.655882821534258e-300) (1.11400071050706e-144 1.1063176325559113e+92) (2.3907102090764897e-145 4.640078691562718e+81) (1.3630629405593765e-145 9.678253915584106e+20) (2.3743410745846496e-147 2.7277556726911957e+70) (2.5047635515728485e-152 2.0632871865371716e-52) (4.3418485674681073e-153 4.445858185005633e+201) (1.6712464936553292e-153 5.468468871128501e+89) (2.042142338201203e-156 2.3870613810498803e+56) (2.8978182316634708e-157 4.331455327979255e+226) (2.8146137233505546e-157 2.045620836001019e+166) (3.123556502036983e-158 2.6596312652327597e+98) (1.7046815012912416e-158 1.029919225484091e-100) (8.164925761322927e-159 4.2775715095342116e+134) (8.111572714051108e-159 2.3809319540687927e-263) (2.3925995814822656e-159 8853.160044268696) (4.487611910648735e-161 1.140043533016518e-189) (1.1562634577513667e-167 5.86665488150053e-184) (6.2689632516916255e-168 8.835057448011588e-238) (2.1212536018683025e-170 1.503047242891728e+34) (1.2431332649246312e-171 4.2856014119480955e-191) (8.872658823550449e-174 3.496839726762944e-152) (3.5301005169826965e-175 3.681225937311089e-140) (6.914765843470445e-179 2.198707666652793e-108) (2.672967116780021e-179 3.987342450805652e+170) (6.045320179706593e-180 406.8133802923419) (4.5643355526316485e-182 8.215581065692736e+20) (4.166977171463589e-184 4.447399454889626e-184) (2.802039043276706e-184 8.564935554647067e-23) (8.16626935469126e-187 2.160641010436935e+63) (6.569623626892278e-187 3.01607226343666e+197) (6.977430845437018e-188 8.398766531390595e+78) (8.574398707378534e-193 2.1774160366388987e+47) (6.340978630588841e-195 1.057030079421388e+240) (2.5200353547295853e-203 6.295208170565626e-114) (1.2491250946711294e-204 5.3011898595263176e+221) (6.273359433469433e-208 1.263672436976075e-38) (2.388769272229288e-210 1.770062473073829e+62) (1.8346298057208207e-210 5.63377224797738e+33) (3.5089330188660727e-211 8.212503169705306e+176) (1.0220680296524578e-214 1.139212358134763e-210) (3.400205593594157e-218 7.631759763470599e+30) (3.4582757322314025e-219 5.332177281320395e-303) (3.3091682577582054e-223 1.5247313423763915e-232) (4.529025934164686e-224 3.856896276459547e+146) (2.840303232076584e-224 2.31668979184825e-132) (4.254761027133739e-225 1.5476161254932767e-192) (1.954175109531907e-226 5.193889382823928e+239) (1.5697462812913982e-232 5.468643423845001e+206) (2.0857045828014755e-233 2.8160791694967965e+45) (4.232162329609072e-234 3.412149576501334e+54) (1.8734131864867148e-234 5.29931274068972e-245) (4.244099378734352e-235 3.851985735215982e-63) (6.835488322275494e-236 1.9062930023519873e+285) (2.3325733389546827e-236 2.2991197959119056e-239) (2.24169467757638e-236 2.971315909541876e-16) (2.323984181190824e-237 9.829774792482571e-148) (1.5089541724968914e-238 8.282612922980034e+45) (9.699391491422582e-243 2.715951569760002) (4.6580503174615975e-243 1.3424407483356136e-170) (6.477179841352888e-245 6.482348919589097e+192) (6.98748588168254e-247 4.627691560019372e-75) (5.7596206555059184e-248 5.608144661179389e+32) (1.398385630502586e-250 2.479363348819341e-246) (8.819551131040855e-251 1.2185283039461809e+21) (1.186548596581722e-252 7.785166878541344e+220) (6.719181455347884e-253 5.323586000626265e+167) (7.497553550996899e-254 1.0535316497232132e+83) (2.3059717166850184e-256 8.030496801534154e-308) (6.620098144336862e-257 7.3417287239119534e-121) (3.4013401970381887e-258 1.5458019585271156e+149) (4.91375865594738e-262 2.635799960278046e-272) (1.1803404489263269e-268 4.551875508410928e-236) (3.922008697663035e-269 9.07853220492844e+107) (2.102635663799049e-270 2.9284179257111137e+142) (1.1507167061736207e-274 1.4731052603990161e-235) (4.123699813126246e-277 7.613949383354967e+23) (1.3549173378854581e-281 3.520003074594046e+114) (1.2523252581019711e-281 913721.0258189518) (2.0661623732114528e-284 1.0922115302163602e+99) (1.2603109186419967e-289 1.1893737668629657e+301) (2.4264781833931153e-294 2.1714074783587803e+135) (1.347397341992252e-294 1.2636621275757653e+230) (1.3795011577965048e-296 1.1160353144412518e+92) (7.107874422781237e-297 2.5381649133459587e-24) (4.511560799661422e-307 1.820103906298428e-33) (8.721360130133818e-308 7.038607365651559e+93) (2.07285464288182e-309 7.254687583300526e-91)) (/ 1 (sqrt k)) (1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 2 2 2 1 1 1 2 1 2 1 1 1 1 1 1 1 1 2 2 2 3 1 2 2 2 1 1 2 2 1 1 1 2 2 1 2 1 2 1 1 2 2 2 1 2 1 2 1 1 1 1 1 1 1 2 1 2 1 1 2 1 1 2 1 1 1 1 1 1 2 1 2 1 2 2 2 2 2 1 2 2 1 1 2 1 1 2 2 2 1 1 1 1 1 2 1 1 1 2 2 1 2 1 2 1 1 1 1 2 2 1 2 1 1 1 1 2 2 2 1 2 2 1 2 2 1 1 1 2 1 1 1 2 2 1 2 1 2 2 2 1 1 2 2 1 2 2 1 1 1 1 2 1 2 1 1 2 1 2 3 1 1 2 2 1 1 1 1 2 2 1 2 2))
1538655449.704 * [enter]simplify:  Simplifying (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* n 2)) (/ k 2))))
1538655449.707 * * [misc]simplify:  iters left: 6 (17 enodes)
1538655449.709 * * [misc]simplify:  iters left: 5 (19 enodes)
1538655449.712 * [exit]simplify:  Simplified to (* (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (pow (* PI (* 2 n)) (/ k 2))) (/ (sqrt (* 2 n)) (sqrt k)))
1538655449.713 * * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
1538655449.779 * * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
1538655449.783 * * * * [misc]points:  Setting MPFR precision to 1088
1538655449.784 * * * * [misc]points:  Setting MPFR precision to 1344
1538655449.786 * * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
1538655449.790 * * * * [misc]points:  Setting MPFR precision to 1088
1538655449.794 * * * * [misc]points:  Setting MPFR precision to 1344
1538655449.797 * * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
1538655449.801 * * * * [misc]points:  Setting MPFR precision to 1088
1538655449.809 * * * * [misc]points:  Setting MPFR precision to 1344
1538655449.817 * * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
1538655449.822 * * * * [misc]points:  Setting MPFR precision to 1088
1538655449.838 * * * * [misc]points:  Setting MPFR precision to 1344
1538655449.848 * * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
1538655449.851 * * * * [misc]points:  Setting MPFR precision to 1088
1538655449.867 * * * * [misc]points:  Setting MPFR precision to 1344
1538655449.896 * * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
1538655449.900 * * * * [misc]points:  Setting MPFR precision to 1088
1538655449.962 * * * * [misc]points:  Setting MPFR precision to 1344
1538655449.993 * * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
1538655449.996 * * * * [misc]points:  Setting MPFR precision to 1088
1538655450.069 * * * * [misc]points:  Setting MPFR precision to 1344
1538655450.221 * * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
1538655450.226 * * * * [misc]points:  Setting MPFR precision to 1088
1538655450.430 * * * * [misc]points:  Setting MPFR precision to 1344
1538655450.669 * * * * [misc]points:  Computing exacts for 8000 points
1538655450.673 * * * * [misc]points:  Setting MPFR precision to 1088
1538655452.023 * * * * [misc]points:  Setting MPFR precision to 1344
1538655452.812 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655452.814 * * * * [misc]points:  Sampling 6446 additional inputs, on iter 1 have 1554 / 8000
1538655452.872 * * * * [misc]points:  Computing exacts on every 402 of 6446 points to ramp up precision
1538655452.876 * * * * [misc]points:  Setting MPFR precision to 1088
1538655452.878 * * * * [misc]points:  Setting MPFR precision to 1344
1538655452.879 * * * * [misc]points:  Computing exacts on every 201 of 6446 points to ramp up precision
1538655452.903 * * * * [misc]points:  Setting MPFR precision to 1088
1538655452.907 * * * * [misc]points:  Setting MPFR precision to 1344
1538655452.911 * * * * [misc]points:  Computing exacts on every 100 of 6446 points to ramp up precision
1538655452.915 * * * * [misc]points:  Setting MPFR precision to 1088
1538655452.923 * * * * [misc]points:  Setting MPFR precision to 1344
1538655452.930 * * * * [misc]points:  Computing exacts on every 50 of 6446 points to ramp up precision
1538655452.935 * * * * [misc]points:  Setting MPFR precision to 1088
1538655452.949 * * * * [misc]points:  Setting MPFR precision to 1344
1538655452.963 * * * * [misc]points:  Computing exacts on every 25 of 6446 points to ramp up precision
1538655452.968 * * * * [misc]points:  Setting MPFR precision to 1088
1538655452.994 * * * * [misc]points:  Setting MPFR precision to 1344
1538655453.022 * * * * [misc]points:  Computing exacts on every 12 of 6446 points to ramp up precision
1538655453.027 * * * * [misc]points:  Setting MPFR precision to 1088
1538655453.086 * * * * [misc]points:  Setting MPFR precision to 1344
1538655453.165 * * * * [misc]points:  Computing exacts on every 6 of 6446 points to ramp up precision
1538655453.168 * * * * [misc]points:  Setting MPFR precision to 1088
1538655453.243 * * * * [misc]points:  Setting MPFR precision to 1344
1538655453.339 * * * * [misc]points:  Computing exacts on every 3 of 6446 points to ramp up precision
1538655453.344 * * * * [misc]points:  Setting MPFR precision to 1088
1538655453.580 * * * * [misc]points:  Setting MPFR precision to 1344
1538655453.793 * * * * [misc]points:  Computing exacts for 6446 points
1538655453.797 * * * * [misc]points:  Setting MPFR precision to 1088
1538655455.052 * * * * [misc]points:  Setting MPFR precision to 1344
1538655455.771 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655455.772 * * * * [misc]points:  Sampling 5192 additional inputs, on iter 2 have 2808 / 8000
1538655455.819 * * * * [misc]points:  Computing exacts on every 324 of 5192 points to ramp up precision
1538655455.824 * * * * [misc]points:  Setting MPFR precision to 1088
1538655455.825 * * * * [misc]points:  Setting MPFR precision to 1344
1538655455.826 * * * * [misc]points:  Computing exacts on every 162 of 5192 points to ramp up precision
1538655455.829 * * * * [misc]points:  Setting MPFR precision to 1088
1538655455.831 * * * * [misc]points:  Setting MPFR precision to 1344
1538655455.832 * * * * [misc]points:  Computing exacts on every 81 of 5192 points to ramp up precision
1538655455.835 * * * * [misc]points:  Setting MPFR precision to 1088
1538655455.839 * * * * [misc]points:  Setting MPFR precision to 1344
1538655455.842 * * * * [misc]points:  Computing exacts on every 40 of 5192 points to ramp up precision
1538655455.846 * * * * [misc]points:  Setting MPFR precision to 1088
1538655455.859 * * * * [misc]points:  Setting MPFR precision to 1344
1538655455.867 * * * * [misc]points:  Computing exacts on every 20 of 5192 points to ramp up precision
1538655455.870 * * * * [misc]points:  Setting MPFR precision to 1088
1538655455.884 * * * * [misc]points:  Setting MPFR precision to 1344
1538655455.900 * * * * [misc]points:  Computing exacts on every 10 of 5192 points to ramp up precision
1538655455.904 * * * * [misc]points:  Setting MPFR precision to 1088
1538655455.963 * * * * [misc]points:  Setting MPFR precision to 1344
1538655456.013 * * * * [misc]points:  Computing exacts on every 5 of 5192 points to ramp up precision
1538655456.017 * * * * [misc]points:  Setting MPFR precision to 1088
1538655456.082 * * * * [misc]points:  Setting MPFR precision to 1344
1538655456.190 * * * * [misc]points:  Computing exacts on every 2 of 5192 points to ramp up precision
1538655456.199 * * * * [misc]points:  Setting MPFR precision to 1088
1538655456.355 * * * * [misc]points:  Setting MPFR precision to 1344
1538655456.505 * * * * [misc]points:  Computing exacts for 5192 points
1538655456.508 * * * * [misc]points:  Setting MPFR precision to 1088
1538655457.112 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.240 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655458.240 * * * * [misc]points:  Sampling 4199 additional inputs, on iter 3 have 3801 / 8000
1538655458.290 * * * * [misc]points:  Computing exacts on every 262 of 4199 points to ramp up precision
1538655458.294 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.296 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.302 * * * * [misc]points:  Computing exacts on every 131 of 4199 points to ramp up precision
1538655458.306 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.309 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.313 * * * * [misc]points:  Computing exacts on every 65 of 4199 points to ramp up precision
1538655458.317 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.325 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.330 * * * * [misc]points:  Computing exacts on every 32 of 4199 points to ramp up precision
1538655458.332 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.339 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.348 * * * * [misc]points:  Computing exacts on every 16 of 4199 points to ramp up precision
1538655458.350 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.364 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.390 * * * * [misc]points:  Computing exacts on every 8 of 4199 points to ramp up precision
1538655458.394 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.436 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.511 * * * * [misc]points:  Computing exacts on every 4 of 4199 points to ramp up precision
1538655458.515 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.595 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.663 * * * * [misc]points:  Computing exacts on every 2 of 4199 points to ramp up precision
1538655458.667 * * * * [misc]points:  Setting MPFR precision to 1088
1538655458.856 * * * * [misc]points:  Setting MPFR precision to 1344
1538655458.976 * * * * [misc]points:  Computing exacts for 4199 points
1538655458.979 * * * * [misc]points:  Setting MPFR precision to 1088
1538655459.424 * * * * [misc]points:  Setting MPFR precision to 1344
1538655459.891 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655459.893 * * * * [misc]points:  Sampling 3373 additional inputs, on iter 4 have 4627 / 8000
1538655459.922 * * * * [misc]points:  Computing exacts on every 210 of 3373 points to ramp up precision
1538655459.926 * * * * [misc]points:  Setting MPFR precision to 1088
1538655459.927 * * * * [misc]points:  Setting MPFR precision to 1344
1538655459.929 * * * * [misc]points:  Computing exacts on every 105 of 3373 points to ramp up precision
1538655459.933 * * * * [misc]points:  Setting MPFR precision to 1088
1538655459.937 * * * * [misc]points:  Setting MPFR precision to 1344
1538655459.940 * * * * [misc]points:  Computing exacts on every 52 of 3373 points to ramp up precision
1538655459.944 * * * * [misc]points:  Setting MPFR precision to 1088
1538655459.952 * * * * [misc]points:  Setting MPFR precision to 1344
1538655459.959 * * * * [misc]points:  Computing exacts on every 26 of 3373 points to ramp up precision
1538655459.963 * * * * [misc]points:  Setting MPFR precision to 1088
1538655460.006 * * * * [misc]points:  Setting MPFR precision to 1344
1538655460.022 * * * * [misc]points:  Computing exacts on every 13 of 3373 points to ramp up precision
1538655460.027 * * * * [misc]points:  Setting MPFR precision to 1088
1538655460.048 * * * * [misc]points:  Setting MPFR precision to 1344
1538655460.064 * * * * [misc]points:  Computing exacts on every 6 of 3373 points to ramp up precision
1538655460.066 * * * * [misc]points:  Setting MPFR precision to 1088
1538655460.095 * * * * [misc]points:  Setting MPFR precision to 1344
1538655460.148 * * * * [misc]points:  Computing exacts on every 3 of 3373 points to ramp up precision
1538655460.152 * * * * [misc]points:  Setting MPFR precision to 1088
1538655460.293 * * * * [misc]points:  Setting MPFR precision to 1344
1538655460.362 * * * * [misc]points:  Computing exacts for 3373 points
1538655460.365 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.217 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.510 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655461.510 * * * * [misc]points:  Sampling 2741 additional inputs, on iter 5 have 5259 / 8000
1538655461.523 * * * * [misc]points:  Computing exacts on every 171 of 2741 points to ramp up precision
1538655461.552 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.553 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.554 * * * * [misc]points:  Computing exacts on every 85 of 2741 points to ramp up precision
1538655461.556 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.558 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.562 * * * * [misc]points:  Computing exacts on every 42 of 2741 points to ramp up precision
1538655461.565 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.568 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.572 * * * * [misc]points:  Computing exacts on every 21 of 2741 points to ramp up precision
1538655461.575 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.581 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.593 * * * * [misc]points:  Computing exacts on every 10 of 2741 points to ramp up precision
1538655461.598 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.622 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.647 * * * * [misc]points:  Computing exacts on every 5 of 2741 points to ramp up precision
1538655461.651 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.683 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.733 * * * * [misc]points:  Computing exacts on every 2 of 2741 points to ramp up precision
1538655461.735 * * * * [misc]points:  Setting MPFR precision to 1088
1538655461.823 * * * * [misc]points:  Setting MPFR precision to 1344
1538655461.926 * * * * [misc]points:  Computing exacts for 2741 points
1538655461.930 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.220 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.472 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655462.473 * * * * [misc]points:  Sampling 2234 additional inputs, on iter 6 have 5766 / 8000
1538655462.493 * * * * [misc]points:  Computing exacts on every 139 of 2234 points to ramp up precision
1538655462.497 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.499 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.500 * * * * [misc]points:  Computing exacts on every 69 of 2234 points to ramp up precision
1538655462.504 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.508 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.511 * * * * [misc]points:  Computing exacts on every 34 of 2234 points to ramp up precision
1538655462.515 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.521 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.546 * * * * [misc]points:  Computing exacts on every 17 of 2234 points to ramp up precision
1538655462.548 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.555 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.566 * * * * [misc]points:  Computing exacts on every 8 of 2234 points to ramp up precision
1538655462.570 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.598 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.619 * * * * [misc]points:  Computing exacts on every 4 of 2234 points to ramp up precision
1538655462.621 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.652 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.694 * * * * [misc]points:  Computing exacts on every 2 of 2234 points to ramp up precision
1538655462.697 * * * * [misc]points:  Setting MPFR precision to 1088
1538655462.775 * * * * [misc]points:  Setting MPFR precision to 1344
1538655462.860 * * * * [misc]points:  Computing exacts for 2234 points
1538655462.864 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.087 * * * * [misc]points:  Setting MPFR precision to 1344
1538655463.329 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655463.330 * * * * [misc]points:  Sampling 1828 additional inputs, on iter 7 have 6172 / 8000
1538655463.347 * * * * [misc]points:  Computing exacts on every 114 of 1828 points to ramp up precision
1538655463.351 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.354 * * * * [misc]points:  Setting MPFR precision to 1344
1538655463.355 * * * * [misc]points:  Computing exacts on every 57 of 1828 points to ramp up precision
1538655463.359 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.400 * * * * [misc]points:  Setting MPFR precision to 1344
1538655463.404 * * * * [misc]points:  Computing exacts on every 28 of 1828 points to ramp up precision
1538655463.411 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.419 * * * * [misc]points:  Setting MPFR precision to 1344
1538655463.423 * * * * [misc]points:  Computing exacts on every 14 of 1828 points to ramp up precision
1538655463.425 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.432 * * * * [misc]points:  Setting MPFR precision to 1344
1538655463.440 * * * * [misc]points:  Computing exacts on every 7 of 1828 points to ramp up precision
1538655463.443 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.466 * * * * [misc]points:  Setting MPFR precision to 1344
1538655463.494 * * * * [misc]points:  Computing exacts on every 3 of 1828 points to ramp up precision
1538655463.498 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.549 * * * * [misc]points:  Setting MPFR precision to 1344
1538655463.592 * * * * [misc]points:  Computing exacts for 1828 points
1538655463.595 * * * * [misc]points:  Setting MPFR precision to 1088
1538655463.766 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.413 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655464.414 * * * * [misc]points:  Sampling 1469 additional inputs, on iter 8 have 6531 / 8000
1538655464.426 * * * * [misc]points:  Computing exacts on every 91 of 1469 points to ramp up precision
1538655464.430 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.432 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.434 * * * * [misc]points:  Computing exacts on every 45 of 1469 points to ramp up precision
1538655464.438 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.441 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.445 * * * * [misc]points:  Computing exacts on every 22 of 1469 points to ramp up precision
1538655464.449 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.491 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.495 * * * * [misc]points:  Computing exacts on every 11 of 1469 points to ramp up precision
1538655464.497 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.507 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.515 * * * * [misc]points:  Computing exacts on every 5 of 1469 points to ramp up precision
1538655464.517 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.532 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.548 * * * * [misc]points:  Computing exacts on every 2 of 1469 points to ramp up precision
1538655464.551 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.598 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.653 * * * * [misc]points:  Computing exacts for 1469 points
1538655464.657 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.831 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.961 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655464.961 * * * * [misc]points:  Sampling 1201 additional inputs, on iter 9 have 6799 / 8000
1538655464.966 * * * * [misc]points:  Computing exacts on every 75 of 1201 points to ramp up precision
1538655464.969 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.970 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.971 * * * * [misc]points:  Computing exacts on every 37 of 1201 points to ramp up precision
1538655464.973 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.975 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.977 * * * * [misc]points:  Computing exacts on every 18 of 1201 points to ramp up precision
1538655464.979 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.983 * * * * [misc]points:  Setting MPFR precision to 1344
1538655464.987 * * * * [misc]points:  Computing exacts on every 9 of 1201 points to ramp up precision
1538655464.989 * * * * [misc]points:  Setting MPFR precision to 1088
1538655464.996 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.011 * * * * [misc]points:  Computing exacts on every 4 of 1201 points to ramp up precision
1538655465.016 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.043 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.103 * * * * [misc]points:  Computing exacts on every 2 of 1201 points to ramp up precision
1538655465.108 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.141 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.186 * * * * [misc]points:  Computing exacts for 1201 points
1538655465.190 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.359 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.451 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655465.451 * * * * [misc]points:  Sampling 973 additional inputs, on iter 10 have 7027 / 8000
1538655465.460 * * * * [misc]points:  Computing exacts on every 60 of 973 points to ramp up precision
1538655465.465 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.467 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.470 * * * * [misc]points:  Computing exacts on every 30 of 973 points to ramp up precision
1538655465.474 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.478 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.483 * * * * [misc]points:  Computing exacts on every 15 of 973 points to ramp up precision
1538655465.486 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.493 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.499 * * * * [misc]points:  Computing exacts on every 7 of 973 points to ramp up precision
1538655465.503 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.516 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.566 * * * * [misc]points:  Computing exacts on every 3 of 973 points to ramp up precision
1538655465.574 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.597 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.612 * * * * [misc]points:  Computing exacts for 973 points
1538655465.614 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.688 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.811 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655465.811 * * * * [misc]points:  Sampling 792 additional inputs, on iter 11 have 7208 / 8000
1538655465.815 * * * * [misc]points:  Computing exacts on every 49 of 792 points to ramp up precision
1538655465.817 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.818 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.819 * * * * [misc]points:  Computing exacts on every 24 of 792 points to ramp up precision
1538655465.821 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.823 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.826 * * * * [misc]points:  Computing exacts on every 12 of 792 points to ramp up precision
1538655465.829 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.835 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.842 * * * * [misc]points:  Computing exacts on every 6 of 792 points to ramp up precision
1538655465.846 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.860 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.875 * * * * [misc]points:  Computing exacts on every 3 of 792 points to ramp up precision
1538655465.879 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.895 * * * * [misc]points:  Setting MPFR precision to 1344
1538655465.907 * * * * [misc]points:  Computing exacts for 792 points
1538655465.909 * * * * [misc]points:  Setting MPFR precision to 1088
1538655465.989 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.070 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655466.070 * * * * [misc]points:  Sampling 637 additional inputs, on iter 12 have 7363 / 8000
1538655466.076 * * * * [misc]points:  Computing exacts on every 39 of 637 points to ramp up precision
1538655466.080 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.081 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.083 * * * * [misc]points:  Computing exacts on every 19 of 637 points to ramp up precision
1538655466.086 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.090 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.094 * * * * [misc]points:  Computing exacts on every 9 of 637 points to ramp up precision
1538655466.098 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.105 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.113 * * * * [misc]points:  Computing exacts on every 4 of 637 points to ramp up precision
1538655466.117 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.131 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.182 * * * * [misc]points:  Computing exacts on every 2 of 637 points to ramp up precision
1538655466.184 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.199 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.221 * * * * [misc]points:  Computing exacts for 637 points
1538655466.225 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.302 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.375 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655466.376 * * * * [misc]points:  Sampling 516 additional inputs, on iter 13 have 7484 / 8000
1538655466.380 * * * * [misc]points:  Computing exacts on every 32 of 516 points to ramp up precision
1538655466.384 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.386 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.387 * * * * [misc]points:  Computing exacts on every 16 of 516 points to ramp up precision
1538655466.391 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.436 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.440 * * * * [misc]points:  Computing exacts on every 8 of 516 points to ramp up precision
1538655466.444 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.455 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.461 * * * * [misc]points:  Computing exacts on every 4 of 516 points to ramp up precision
1538655466.465 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.477 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.490 * * * * [misc]points:  Computing exacts on every 2 of 516 points to ramp up precision
1538655466.494 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.513 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.533 * * * * [misc]points:  Computing exacts for 516 points
1538655466.537 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.596 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.649 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655466.650 * * * * [misc]points:  Sampling 424 additional inputs, on iter 14 have 7576 / 8000
1538655466.652 * * * * [misc]points:  Computing exacts on every 26 of 424 points to ramp up precision
1538655466.654 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.680 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.680 * * * * [misc]points:  Computing exacts on every 13 of 424 points to ramp up precision
1538655466.683 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.684 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.686 * * * * [misc]points:  Computing exacts on every 6 of 424 points to ramp up precision
1538655466.688 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.694 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.699 * * * * [misc]points:  Computing exacts on every 3 of 424 points to ramp up precision
1538655466.703 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.711 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.717 * * * * [misc]points:  Computing exacts for 424 points
1538655466.719 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.743 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.769 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655466.769 * * * * [misc]points:  Sampling 342 additional inputs, on iter 15 have 7658 / 8000
1538655466.771 * * * * [misc]points:  Computing exacts on every 21 of 342 points to ramp up precision
1538655466.775 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.776 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.777 * * * * [misc]points:  Computing exacts on every 10 of 342 points to ramp up precision
1538655466.779 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.781 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.783 * * * * [misc]points:  Computing exacts on every 5 of 342 points to ramp up precision
1538655466.786 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.789 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.793 * * * * [misc]points:  Computing exacts on every 2 of 342 points to ramp up precision
1538655466.795 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.830 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.839 * * * * [misc]points:  Computing exacts for 342 points
1538655466.842 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.874 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.895 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655466.895 * * * * [misc]points:  Sampling 282 additional inputs, on iter 16 have 7718 / 8000
1538655466.897 * * * * [misc]points:  Computing exacts on every 17 of 282 points to ramp up precision
1538655466.899 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.900 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.901 * * * * [misc]points:  Computing exacts on every 8 of 282 points to ramp up precision
1538655466.903 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.905 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.907 * * * * [misc]points:  Computing exacts on every 4 of 282 points to ramp up precision
1538655466.909 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.912 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.915 * * * * [misc]points:  Computing exacts on every 2 of 282 points to ramp up precision
1538655466.917 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.923 * * * * [misc]points:  Setting MPFR precision to 1344
1538655466.929 * * * * [misc]points:  Computing exacts for 282 points
1538655466.931 * * * * [misc]points:  Setting MPFR precision to 1088
1538655466.956 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.030 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.030 * * * * [misc]points:  Sampling 219 additional inputs, on iter 17 have 7781 / 8000
1538655467.036 * * * * [misc]points:  Computing exacts on every 13 of 219 points to ramp up precision
1538655467.041 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.042 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.044 * * * * [misc]points:  Computing exacts on every 6 of 219 points to ramp up precision
1538655467.048 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.052 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.055 * * * * [misc]points:  Computing exacts on every 3 of 219 points to ramp up precision
1538655467.059 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.066 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.072 * * * * [misc]points:  Computing exacts for 219 points
1538655467.076 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.093 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.106 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.106 * * * * [misc]points:  Sampling 183 additional inputs, on iter 18 have 7817 / 8000
1538655467.107 * * * * [misc]points:  Computing exacts on every 11 of 183 points to ramp up precision
1538655467.109 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.111 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.112 * * * * [misc]points:  Computing exacts on every 5 of 183 points to ramp up precision
1538655467.114 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.116 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.117 * * * * [misc]points:  Computing exacts on every 2 of 183 points to ramp up precision
1538655467.120 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.123 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.127 * * * * [misc]points:  Computing exacts for 183 points
1538655467.129 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.139 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.156 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.157 * * * * [misc]points:  Sampling 147 additional inputs, on iter 19 have 7853 / 8000
1538655467.158 * * * * [misc]points:  Computing exacts on every 9 of 147 points to ramp up precision
1538655467.162 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.164 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.165 * * * * [misc]points:  Computing exacts on every 4 of 147 points to ramp up precision
1538655467.169 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.649 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.652 * * * * [misc]points:  Computing exacts on every 2 of 147 points to ramp up precision
1538655467.657 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.666 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.672 * * * * [misc]points:  Computing exacts for 147 points
1538655467.676 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.692 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.709 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.709 * * * * [misc]points:  Sampling 116 additional inputs, on iter 20 have 7884 / 8000
1538655467.711 * * * * [misc]points:  Computing exacts on every 7 of 116 points to ramp up precision
1538655467.715 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.716 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.718 * * * * [misc]points:  Computing exacts on every 3 of 116 points to ramp up precision
1538655467.722 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.725 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.728 * * * * [misc]points:  Computing exacts for 116 points
1538655467.732 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.741 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.748 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.748 * * * * [misc]points:  Sampling 104 additional inputs, on iter 21 have 7896 / 8000
1538655467.748 * * * * [misc]points:  Computing exacts on every 6 of 104 points to ramp up precision
1538655467.751 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.752 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.753 * * * * [misc]points:  Computing exacts on every 3 of 104 points to ramp up precision
1538655467.755 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.757 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.758 * * * * [misc]points:  Computing exacts for 104 points
1538655467.760 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.769 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.780 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.780 * * * * [misc]points:  Sampling 83 additional inputs, on iter 22 have 7917 / 8000
1538655467.781 * * * * [misc]points:  Computing exacts on every 5 of 83 points to ramp up precision
1538655467.784 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.787 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.788 * * * * [misc]points:  Computing exacts on every 2 of 83 points to ramp up precision
1538655467.792 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.795 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.798 * * * * [misc]points:  Computing exacts for 83 points
1538655467.803 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.812 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.822 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.822 * * * * [misc]points:  Sampling 65 additional inputs, on iter 23 have 7935 / 8000
1538655467.823 * * * * [misc]points:  Computing exacts on every 4 of 65 points to ramp up precision
1538655467.855 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.857 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.858 * * * * [misc]points:  Computing exacts on every 2 of 65 points to ramp up precision
1538655467.862 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.865 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.870 * * * * [misc]points:  Computing exacts for 65 points
1538655467.874 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.882 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.890 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.890 * * * * [misc]points:  Sampling 53 additional inputs, on iter 24 have 7947 / 8000
1538655467.891 * * * * [misc]points:  Computing exacts on every 3 of 53 points to ramp up precision
1538655467.895 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.896 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.898 * * * * [misc]points:  Computing exacts for 53 points
1538655467.901 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.908 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.912 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.912 * * * * [misc]points:  Sampling 44 additional inputs, on iter 25 have 7956 / 8000
1538655467.913 * * * * [misc]points:  Computing exacts on every 2 of 44 points to ramp up precision
1538655467.915 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.916 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.917 * * * * [misc]points:  Computing exacts for 44 points
1538655467.919 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.922 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.924 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.924 * * * * [misc]points:  Sampling 36 additional inputs, on iter 26 have 7964 / 8000
1538655467.925 * * * * [misc]points:  Computing exacts on every 2 of 36 points to ramp up precision
1538655467.927 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.928 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.928 * * * * [misc]points:  Computing exacts for 36 points
1538655467.930 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.933 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.935 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.935 * * * * [misc]points:  Sampling 28 additional inputs, on iter 27 have 7972 / 8000
1538655467.935 * * * * [misc]points:  Computing exacts for 28 points
1538655467.937 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.939 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.942 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.942 * * * * [misc]points:  Sampling 25 additional inputs, on iter 28 have 7975 / 8000
1538655467.942 * * * * [misc]points:  Computing exacts for 25 points
1538655467.947 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.949 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.952 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.952 * * * * [misc]points:  Sampling 21 additional inputs, on iter 29 have 7979 / 8000
1538655467.952 * * * * [misc]points:  Computing exacts for 21 points
1538655467.956 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.958 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.961 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.961 * * * * [misc]points:  Sampling 16 additional inputs, on iter 30 have 7984 / 8000
1538655467.962 * * * * [misc]points:  Computing exacts for 16 points
1538655467.966 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.968 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.969 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.969 * * * * [misc]points:  Sampling 12 additional inputs, on iter 31 have 7988 / 8000
1538655467.970 * * * * [misc]points:  Computing exacts for 12 points
1538655467.974 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.975 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.976 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.976 * * * * [misc]points:  Sampling 7 additional inputs, on iter 32 have 7993 / 8000
1538655467.977 * * * * [misc]points:  Computing exacts for 7 points
1538655467.981 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.981 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.982 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.982 * * * * [misc]points:  Sampling 7 additional inputs, on iter 33 have 7993 / 8000
1538655467.983 * * * * [misc]points:  Computing exacts for 7 points
1538655467.987 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.988 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.988 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.988 * * * * [misc]points:  Sampling 5 additional inputs, on iter 34 have 7995 / 8000
1538655467.989 * * * * [misc]points:  Computing exacts for 5 points
1538655467.993 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.994 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.994 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.995 * * * * [misc]points:  Sampling 4 additional inputs, on iter 35 have 7996 / 8000
1538655467.995 * * * * [misc]points:  Computing exacts for 4 points
1538655467.998 * * * * [misc]points:  Setting MPFR precision to 1088
1538655467.999 * * * * [misc]points:  Setting MPFR precision to 1344
1538655467.999 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655467.999 * * * * [misc]points:  Sampling 4 additional inputs, on iter 36 have 7997 / 8000
1538655468.000 * * * * [misc]points:  Computing exacts for 4 points
1538655468.027 * * * * [misc]points:  Setting MPFR precision to 1088
1538655468.028 * * * * [misc]points:  Setting MPFR precision to 1344
1538655468.028 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655468.028 * * * * [misc]points:  Sampling 4 additional inputs, on iter 37 have 7999 / 8000
1538655468.029 * * * * [misc]points:  Computing exacts for 4 points
1538655468.033 * * * * [misc]points:  Setting MPFR precision to 1088
1538655468.036 * * * * [misc]points:  Setting MPFR precision to 1344
1538655468.036 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538655468.036 * * * * [exit]points:  Sampled 8001 points with exact outputs