1539420257.293 * [misc]progress:  [Phase 1 of 3] Setting up.
1539420257.293 * * * [misc]progress:  [1/2] Preparing points
1539420257.293 * * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
1539420257.294 * * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
1539420257.297 * * * * [misc]points:  Setting MPFR precision to 64
1539420257.298 * * * * [misc]points:  Setting MPFR precision to 320
1539420257.298 * * * * [misc]points:  Setting MPFR precision to 576
1539420257.299 * * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
1539420257.304 * * * * [misc]points:  Setting MPFR precision to 320
1539420257.305 * * * * [misc]points:  Setting MPFR precision to 576
1539420257.306 * * * * [misc]points:  Setting MPFR precision to 832
1539420257.307 * * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
1539420257.313 * * * * [misc]points:  Setting MPFR precision to 576
1539420257.315 * * * * [misc]points:  Setting MPFR precision to 832
1539420257.319 * * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
1539420257.331 * * * * [misc]points:  Setting MPFR precision to 576
1539420257.336 * * * * [misc]points:  Setting MPFR precision to 832
1539420257.342 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.349 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.356 * * * * [misc]points:  Computing exacts for 256 points
1539420257.378 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.389 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.399 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420257.399 * * * * [misc]points:  Sampling 201 additional inputs, on iter 1 have 55 / 256
1539420257.400 * * * * [misc]points:  Computing exacts on every 12 of 201 points to ramp up precision
1539420257.411 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.413 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.414 * * * * [misc]points:  Computing exacts on every 6 of 201 points to ramp up precision
1539420257.446 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.450 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.452 * * * * [misc]points:  Computing exacts on every 3 of 201 points to ramp up precision
1539420257.470 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.474 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.479 * * * * [misc]points:  Computing exacts for 201 points
1539420257.499 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.514 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.540 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420257.540 * * * * [misc]points:  Sampling 158 additional inputs, on iter 2 have 98 / 256
1539420257.541 * * * * [misc]points:  Computing exacts on every 9 of 158 points to ramp up precision
1539420257.558 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.559 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.561 * * * * [misc]points:  Computing exacts on every 4 of 158 points to ramp up precision
1539420257.580 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.583 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.586 * * * * [misc]points:  Computing exacts on every 2 of 158 points to ramp up precision
1539420257.612 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.617 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.622 * * * * [misc]points:  Computing exacts for 158 points
1539420257.641 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.653 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.663 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420257.663 * * * * [misc]points:  Sampling 130 additional inputs, on iter 3 have 126 / 256
1539420257.664 * * * * [misc]points:  Computing exacts on every 8 of 130 points to ramp up precision
1539420257.679 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.680 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.680 * * * * [misc]points:  Computing exacts on every 4 of 130 points to ramp up precision
1539420257.693 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.695 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.697 * * * * [misc]points:  Computing exacts on every 2 of 130 points to ramp up precision
1539420257.717 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.720 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.724 * * * * [misc]points:  Computing exacts for 130 points
1539420257.749 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.759 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.769 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420257.769 * * * * [misc]points:  Sampling 100 additional inputs, on iter 4 have 156 / 256
1539420257.770 * * * * [misc]points:  Computing exacts on every 6 of 100 points to ramp up precision
1539420257.781 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.782 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.783 * * * * [misc]points:  Computing exacts on every 3 of 100 points to ramp up precision
1539420257.797 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.798 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.800 * * * * [misc]points:  Computing exacts for 100 points
1539420257.819 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.827 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.835 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420257.835 * * * * [misc]points:  Sampling 82 additional inputs, on iter 5 have 174 / 256
1539420257.836 * * * * [misc]points:  Computing exacts on every 5 of 82 points to ramp up precision
1539420257.853 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.854 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.855 * * * * [misc]points:  Computing exacts on every 2 of 82 points to ramp up precision
1539420257.880 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.882 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.884 * * * * [misc]points:  Computing exacts for 82 points
1539420257.901 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.906 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.912 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420257.912 * * * * [misc]points:  Sampling 72 additional inputs, on iter 6 have 184 / 256
1539420257.913 * * * * [misc]points:  Computing exacts on every 4 of 72 points to ramp up precision
1539420257.936 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.937 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.939 * * * * [misc]points:  Computing exacts on every 2 of 72 points to ramp up precision
1539420257.959 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.961 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.963 * * * * [misc]points:  Computing exacts for 72 points
1539420257.982 * * * * [misc]points:  Setting MPFR precision to 1088
1539420257.987 * * * * [misc]points:  Setting MPFR precision to 1344
1539420257.994 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420257.994 * * * * [misc]points:  Sampling 54 additional inputs, on iter 7 have 202 / 256
1539420257.994 * * * * [misc]points:  Computing exacts on every 3 of 54 points to ramp up precision
1539420258.021 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.022 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.023 * * * * [misc]points:  Computing exacts for 54 points
1539420258.042 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.046 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.050 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.050 * * * * [misc]points:  Sampling 48 additional inputs, on iter 8 have 208 / 256
1539420258.051 * * * * [misc]points:  Computing exacts on every 3 of 48 points to ramp up precision
1539420258.070 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.071 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.072 * * * * [misc]points:  Computing exacts for 48 points
1539420258.098 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.103 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.109 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.109 * * * * [misc]points:  Sampling 36 additional inputs, on iter 9 have 220 / 256
1539420258.109 * * * * [misc]points:  Computing exacts on every 2 of 36 points to ramp up precision
1539420258.129 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.130 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.131 * * * * [misc]points:  Computing exacts for 36 points
1539420258.152 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.153 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.155 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.155 * * * * [misc]points:  Sampling 32 additional inputs, on iter 10 have 224 / 256
1539420258.155 * * * * [misc]points:  Computing exacts on every 2 of 32 points to ramp up precision
1539420258.165 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.165 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.166 * * * * [misc]points:  Computing exacts for 32 points
1539420258.175 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.177 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.178 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.178 * * * * [misc]points:  Sampling 20 additional inputs, on iter 11 have 236 / 256
1539420258.179 * * * * [misc]points:  Computing exacts for 20 points
1539420258.192 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.193 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.194 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.194 * * * * [misc]points:  Sampling 18 additional inputs, on iter 12 have 238 / 256
1539420258.194 * * * * [misc]points:  Computing exacts for 18 points
1539420258.203 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.204 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.205 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.205 * * * * [misc]points:  Sampling 16 additional inputs, on iter 13 have 240 / 256
1539420258.205 * * * * [misc]points:  Computing exacts for 16 points
1539420258.216 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.218 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.219 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.219 * * * * [misc]points:  Sampling 12 additional inputs, on iter 14 have 244 / 256
1539420258.219 * * * * [misc]points:  Computing exacts for 12 points
1539420258.242 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.243 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.244 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.244 * * * * [misc]points:  Sampling 8 additional inputs, on iter 15 have 248 / 256
1539420258.244 * * * * [misc]points:  Computing exacts for 8 points
1539420258.253 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.254 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.254 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.254 * * * * [misc]points:  Sampling 6 additional inputs, on iter 16 have 250 / 256
1539420258.254 * * * * [misc]points:  Computing exacts for 6 points
1539420258.265 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.266 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.266 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.266 * * * * [misc]points:  Sampling 4 additional inputs, on iter 17 have 252 / 256
1539420258.266 * * * * [misc]points:  Computing exacts for 4 points
1539420258.276 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.278 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.279 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.279 * * * * [misc]points:  Sampling 4 additional inputs, on iter 18 have 253 / 256
1539420258.279 * * * * [misc]points:  Computing exacts for 4 points
1539420258.299 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.300 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.300 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.300 * * * * [misc]points:  Sampling 4 additional inputs, on iter 19 have 254 / 256
1539420258.300 * * * * [misc]points:  Computing exacts for 4 points
1539420258.323 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.323 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.324 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.324 * * * * [misc]points:  Sampling 4 additional inputs, on iter 20 have 254 / 256
1539420258.324 * * * * [misc]points:  Computing exacts for 4 points
1539420258.344 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.344 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.345 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.345 * * * * [misc]points:  Sampling 4 additional inputs, on iter 21 have 254 / 256
1539420258.345 * * * * [misc]points:  Computing exacts for 4 points
1539420258.364 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.364 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.365 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.365 * * * * [misc]points:  Sampling 4 additional inputs, on iter 22 have 255 / 256
1539420258.365 * * * * [misc]points:  Computing exacts for 4 points
1539420258.384 * * * * [misc]points:  Setting MPFR precision to 1088
1539420258.384 * * * * [misc]points:  Setting MPFR precision to 1344
1539420258.384 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420258.384 * * * * [exit]points:  Sampled 256 points with exact outputs
1539420258.384 * * * [misc]progress:  [2/2] Setting up program.
1539420258.387 * [misc]progress:  [Phase 2 of 3] Improving.
1539420258.387 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1539420258.387 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420258.390 * * [misc]simplify:  iters left: 5 (28 enodes)
1539420258.394 * * [misc]simplify:  iters left: 4 (44 enodes)
1539420258.400 * * [misc]simplify:  iters left: 3 (54 enodes)
1539420258.406 * * [misc]simplify:  iters left: 2 (57 enodes)
1539420258.411 * * [misc]simplify:  iters left: 1 (65 enodes)
1539420258.425 * [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1539420258.436 * * [misc]progress:  iteration 1 / 4
1539420258.437 * * * [misc]progress:  picking best candidate
1539420258.445 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.445 * * * [misc]progress:  localizing error
1539420258.477 * * * [misc]progress:  generating rewritten candidates
1539420258.477 * * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1 1)
1539420258.482 * * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1)
1539420258.490 * * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
1539420258.499 * * * [misc]progress:  generating series expansions
1539420258.499 * * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1 1)
1539420258.499 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539420258.499 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539420258.499 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420258.500 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.500 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.500 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420258.500 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.500 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.500 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.500 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.500 * [misc]backup-simplify:  Simplify PI into PI
1539420258.500 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420258.500 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.500 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.500 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420258.500 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.500 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.500 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.500 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.500 * [misc]backup-simplify:  Simplify PI into PI
1539420258.500 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420258.500 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420258.500 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.501 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420258.501 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420258.501 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.502 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420258.503 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420258.503 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.503 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.504 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420258.504 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.506 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420258.507 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420258.507 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.509 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420258.510 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420258.510 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.512 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420258.514 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420258.514 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.516 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420258.518 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420258.518 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.519 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539420258.519 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539420258.519 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539420258.519 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420258.519 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.519 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.519 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.519 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.519 * [misc]backup-simplify:  Simplify PI into PI
1539420258.519 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.519 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.519 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.519 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.519 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420258.519 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.519 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.519 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.519 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.519 * [misc]backup-simplify:  Simplify PI into PI
1539420258.519 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.519 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.519 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.519 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.520 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.520 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.520 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420258.521 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420258.521 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.522 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.522 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.522 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.523 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.524 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.524 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.525 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.526 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420258.526 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.528 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.529 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420258.529 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.530 * [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
1539420258.532 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420258.532 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.533 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539420258.533 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539420258.533 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539420258.533 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420258.533 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420258.533 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.533 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.533 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.533 * [misc]backup-simplify:  Simplify PI into PI
1539420258.533 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.533 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.533 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.533 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.533 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420258.533 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420258.533 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.533 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.533 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.533 * [misc]backup-simplify:  Simplify PI into PI
1539420258.533 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.533 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.533 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.533 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.533 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.534 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.534 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420258.535 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420258.535 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.535 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.536 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.536 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.537 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.538 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.538 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.539 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.540 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420258.540 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.541 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.543 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420258.543 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.544 * [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
1539420258.546 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420258.546 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.546 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539420258.546 * * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1)
1539420258.547 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1539420258.547 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1539420258.547 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.547 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.547 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.547 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.547 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.547 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.547 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.547 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.547 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.547 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420258.547 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.547 * [misc]backup-simplify:  Simplify n into n
1539420258.547 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.547 * [misc]backup-simplify:  Simplify PI into PI
1539420258.547 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420258.547 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420258.547 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420258.547 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420258.547 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.547 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.547 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1539420258.547 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1539420258.548 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.548 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.548 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.548 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.548 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.548 * [misc]backup-simplify:  Simplify k into k
1539420258.548 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.548 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.548 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420258.548 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.548 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.548 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.548 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.548 * [misc]backup-simplify:  Simplify PI into PI
1539420258.548 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420258.548 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420258.549 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420258.549 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420258.549 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.549 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420258.549 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420258.549 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539420258.550 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.550 * [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))))
1539420258.553 * [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)))))
1539420258.553 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.554 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.554 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.554 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.554 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.554 * [misc]backup-simplify:  Simplify k into k
1539420258.554 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.554 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.554 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420258.554 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.554 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.554 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.554 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.554 * [misc]backup-simplify:  Simplify PI into PI
1539420258.554 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420258.554 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420258.554 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420258.555 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420258.555 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.555 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420258.555 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420258.555 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539420258.556 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.556 * [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))))
1539420258.556 * [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)))))
1539420258.557 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.557 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.557 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.557 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.557 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.557 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.557 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.557 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.557 * [misc]backup-simplify:  Simplify n into n
1539420258.557 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420258.557 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420258.557 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.557 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.557 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.557 * [misc]backup-simplify:  Simplify PI into PI
1539420258.557 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.557 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.557 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420258.558 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.558 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.558 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.558 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539420258.559 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420258.559 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420258.560 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420258.560 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420258.562 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420258.562 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539420258.562 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.562 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.563 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.563 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539420258.564 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420258.564 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.564 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.564 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.565 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539420258.565 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420258.567 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420258.567 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.567 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420258.567 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420258.567 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539420258.568 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1539420258.569 * [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)))))))
1539420258.570 * [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)))))))
1539420258.571 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.572 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420258.575 * [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
1539420258.575 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539420258.575 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.575 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.575 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.576 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539420258.577 * [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
1539420258.577 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.577 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.577 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.577 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.578 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539420258.579 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.582 * [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
1539420258.582 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.582 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539420258.582 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.582 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.583 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539420258.584 * [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)))))
1539420258.585 * [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)))))
1539420258.589 * [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)))))
1539420258.589 * [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))))
1539420258.589 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1539420258.589 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.589 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.589 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.589 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.589 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.589 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.589 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.589 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.589 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.589 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.589 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420258.589 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.589 * [misc]backup-simplify:  Simplify PI into PI
1539420258.589 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.589 * [misc]backup-simplify:  Simplify n into n
1539420258.589 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420258.590 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420258.590 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420258.590 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.590 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420258.590 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539420258.590 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420258.590 * [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))))
1539420258.590 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.590 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.590 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.590 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.590 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.590 * [misc]backup-simplify:  Simplify k into k
1539420258.590 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.590 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.590 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.590 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.590 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.590 * [misc]backup-simplify:  Simplify PI into PI
1539420258.590 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.590 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.590 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.591 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.591 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.591 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.591 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.591 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420258.591 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539420258.592 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.592 * [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)))
1539420258.593 * [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))))
1539420258.593 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.593 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.593 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.593 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.593 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.593 * [misc]backup-simplify:  Simplify k into k
1539420258.593 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.593 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.593 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.593 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.593 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.593 * [misc]backup-simplify:  Simplify PI into PI
1539420258.593 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.593 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.593 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.593 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.593 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.594 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.594 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.594 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420258.594 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539420258.594 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.595 * [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)))
1539420258.595 * [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))))
1539420258.595 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1539420258.595 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1539420258.595 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539420258.595 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.595 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.595 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.595 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.595 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.595 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.595 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.596 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.596 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.596 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.596 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420258.596 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420258.596 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420258.596 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.596 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.596 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.596 * [misc]backup-simplify:  Simplify PI into PI
1539420258.596 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.597 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.597 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420258.597 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.597 * [misc]backup-simplify:  Simplify n into n
1539420258.597 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420258.597 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.597 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420258.597 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539420258.597 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420258.598 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420258.598 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420258.599 * [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))))
1539420258.600 * [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))))
1539420258.601 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420258.602 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420258.604 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420258.605 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420258.605 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420258.605 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.605 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.606 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.606 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539420258.608 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420258.608 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.608 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.608 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.608 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.610 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.611 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.615 * [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
1539420258.616 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.616 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420258.616 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.616 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.617 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.618 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539420258.620 * [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
1539420258.620 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.620 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.620 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.620 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.620 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.622 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.624 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.632 * [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
1539420258.632 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.632 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539420258.633 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.633 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.633 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.634 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539420258.638 * [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
1539420258.639 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.639 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.639 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.639 * [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)))))
1539420258.640 * [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))
1539420258.640 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1539420258.640 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.640 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.640 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.640 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.640 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.640 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.640 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.640 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.640 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420258.640 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420258.640 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.641 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420258.641 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.641 * [misc]backup-simplify:  Simplify PI into PI
1539420258.641 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.641 * [misc]backup-simplify:  Simplify n into n
1539420258.641 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420258.641 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420258.641 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420258.641 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.641 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.641 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420258.642 * [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)))
1539420258.642 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.642 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.642 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.642 * [misc]backup-simplify:  Simplify k into k
1539420258.642 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.642 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.642 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.642 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420258.642 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.642 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.642 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.642 * [misc]backup-simplify:  Simplify PI into PI
1539420258.642 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.642 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.642 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.643 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.643 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.643 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420258.644 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.644 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539420258.644 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.645 * [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)))
1539420258.646 * [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))))
1539420258.646 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.646 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.646 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.646 * [misc]backup-simplify:  Simplify k into k
1539420258.646 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.646 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.646 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.646 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420258.646 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.646 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.646 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.646 * [misc]backup-simplify:  Simplify PI into PI
1539420258.646 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.646 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.646 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.647 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.647 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.647 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420258.647 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.647 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539420258.648 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.649 * [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)))
1539420258.649 * [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))))
1539420258.649 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.650 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.650 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.650 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.650 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.650 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.650 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.650 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.650 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539420258.650 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420258.650 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.650 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.650 * [misc]backup-simplify:  Simplify PI into PI
1539420258.650 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.651 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420258.651 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420258.651 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.651 * [misc]backup-simplify:  Simplify n into n
1539420258.651 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420258.651 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.651 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.651 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420258.652 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539420258.652 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420258.652 * [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))))
1539420258.653 * [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))))
1539420258.654 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420258.654 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420258.655 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420258.656 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420258.656 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420258.656 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.656 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.657 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420258.658 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420258.658 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.658 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.658 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.658 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.658 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.659 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.662 * [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
1539420258.662 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.662 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420258.662 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.663 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.664 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539420258.665 * [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
1539420258.665 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.665 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.665 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.665 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.665 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.666 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.667 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.672 * [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
1539420258.672 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.672 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539420258.672 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.673 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.674 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539420258.676 * [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
1539420258.676 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.676 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.676 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.677 * [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)))))
1539420258.677 * * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
1539420258.678 * [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))))
1539420258.678 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1539420258.678 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.678 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.678 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.678 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.678 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420258.678 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539420258.678 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.678 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.678 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420258.678 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.678 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.678 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.678 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.678 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.679 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420258.679 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420258.679 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.679 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.679 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420258.679 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.679 * [misc]backup-simplify:  Simplify n into n
1539420258.679 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.679 * [misc]backup-simplify:  Simplify PI into PI
1539420258.679 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420258.679 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420258.679 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420258.679 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420258.679 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.679 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.679 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1539420258.679 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1539420258.679 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1539420258.679 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1539420258.679 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.679 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.679 * [misc]backup-simplify:  Simplify k into k
1539420258.679 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.680 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1539420258.680 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420258.680 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1539420258.680 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.680 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.680 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.680 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.680 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.680 * [misc]backup-simplify:  Simplify k into k
1539420258.680 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.680 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.680 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420258.680 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.680 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.680 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.680 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.680 * [misc]backup-simplify:  Simplify PI into PI
1539420258.681 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420258.681 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420258.681 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420258.682 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420258.682 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.683 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420258.683 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420258.683 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539420258.683 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.684 * [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))))
1539420258.685 * [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)))))
1539420258.685 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.685 * [misc]backup-simplify:  Simplify k into k
1539420258.685 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.685 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1539420258.685 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420258.685 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1539420258.685 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.685 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.685 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420258.685 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.685 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.685 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.685 * [misc]backup-simplify:  Simplify k into k
1539420258.686 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420258.686 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420258.686 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.686 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.686 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420258.686 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.686 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.686 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.686 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.686 * [misc]backup-simplify:  Simplify PI into PI
1539420258.686 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420258.686 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420258.687 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420258.687 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420258.688 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.688 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420258.688 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420258.688 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539420258.689 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.689 * [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))))
1539420258.690 * [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)))))
1539420258.691 * [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)))
1539420258.691 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.691 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.691 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.691 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.691 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.691 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.691 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.691 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.691 * [misc]backup-simplify:  Simplify n into n
1539420258.691 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420258.691 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420258.691 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.691 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.691 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.691 * [misc]backup-simplify:  Simplify PI into PI
1539420258.692 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.692 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.692 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420258.692 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.693 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.693 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.694 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539420258.694 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420258.694 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1539420258.694 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.694 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.694 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.694 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.695 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.695 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420258.695 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539420258.696 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1539420258.696 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.697 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420258.698 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420258.700 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420258.701 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539420258.701 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.701 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.702 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.702 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539420258.703 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420258.704 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1539420258.704 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.704 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.704 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539420258.705 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420258.706 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420258.706 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.707 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420258.707 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420258.707 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539420258.707 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1539420258.708 * [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)))))))
1539420258.709 * [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)))))))
1539420258.710 * [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)))))))
1539420258.711 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.712 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420258.714 * [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
1539420258.715 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539420258.715 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.715 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.715 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.716 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539420258.717 * [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
1539420258.717 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.718 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1539420258.718 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1539420258.718 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.718 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.718 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.719 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1539420258.719 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539420258.720 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539420258.721 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.723 * [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
1539420258.724 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.724 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539420258.724 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.724 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.724 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539420258.726 * [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)))))
1539420258.729 * [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))))))))
1539420258.730 * [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))))))))
1539420258.732 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420258.733 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420258.738 * [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
1539420258.738 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539420258.738 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.738 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.738 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420258.739 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539420258.741 * [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
1539420258.741 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.742 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1539420258.742 * [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
1539420258.742 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.742 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.742 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.742 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.743 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.743 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539420258.745 * [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
1539420258.746 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.752 * [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
1539420258.753 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.753 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539420258.753 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.753 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.754 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539420258.758 * [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)))))))
1539420258.766 * [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))))))))))))))
1539420258.772 * [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))))))))))))))
1539420258.783 * [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))))))))))))))))))))))
1539420258.783 * [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)))))
1539420258.783 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1539420258.783 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1539420258.783 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1539420258.783 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.783 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.783 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.784 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420258.784 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539420258.784 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1539420258.784 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420258.784 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420258.784 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539420258.784 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.784 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.784 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.784 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.784 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.784 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.784 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.784 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.785 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.785 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.785 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420258.785 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420258.785 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.785 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.785 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420258.785 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.785 * [misc]backup-simplify:  Simplify PI into PI
1539420258.785 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.785 * [misc]backup-simplify:  Simplify n into n
1539420258.785 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420258.785 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420258.785 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420258.785 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.785 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420258.786 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539420258.786 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420258.786 * [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))))
1539420258.786 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.786 * [misc]backup-simplify:  Simplify k into k
1539420258.786 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1539420258.786 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1539420258.786 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.786 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.786 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.786 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.786 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.786 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.786 * [misc]backup-simplify:  Simplify k into k
1539420258.786 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.787 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420258.787 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420258.787 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.787 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.787 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.787 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.787 * [misc]backup-simplify:  Simplify PI into PI
1539420258.787 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.787 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.787 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.787 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.787 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.788 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.788 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.788 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420258.788 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539420258.789 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.789 * [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)))
1539420258.790 * [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))))
1539420258.790 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.790 * [misc]backup-simplify:  Simplify k into k
1539420258.790 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1539420258.790 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1539420258.790 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.790 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.790 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.790 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.790 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.790 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.790 * [misc]backup-simplify:  Simplify k into k
1539420258.791 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.791 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420258.791 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420258.791 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420258.791 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.791 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.791 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.791 * [misc]backup-simplify:  Simplify PI into PI
1539420258.791 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.791 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.791 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.791 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.791 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.792 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.792 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.792 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420258.792 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539420258.793 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.794 * [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)))
1539420258.794 * [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))))
1539420258.795 * [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))
1539420258.795 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1539420258.795 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1539420258.795 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1539420258.795 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539420258.796 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.796 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.796 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.796 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.796 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.796 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.796 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.796 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.796 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.796 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.796 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420258.796 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420258.796 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420258.796 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420258.796 * [misc]backup-simplify:  Simplify 2 into 2
1539420258.796 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.796 * [misc]backup-simplify:  Simplify PI into PI
1539420258.796 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420258.797 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420258.797 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420258.797 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.797 * [misc]backup-simplify:  Simplify n into n
1539420258.797 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420258.797 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.797 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420258.797 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539420258.798 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420258.798 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420258.799 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420258.799 * [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))))
1539420258.799 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1539420258.799 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.799 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.799 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.800 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420258.800 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539420258.801 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1539420258.801 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.802 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420258.802 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420258.806 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420258.806 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420258.807 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420258.807 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.807 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.808 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.808 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539420258.810 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420258.811 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1539420258.811 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.811 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.811 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.812 * [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))))))
1539420258.813 * [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))))))
1539420258.814 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.815 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.820 * [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
1539420258.821 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.821 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420258.821 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.821 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.822 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.823 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539420258.825 * [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
1539420258.826 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1539420258.827 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1539420258.827 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.827 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.827 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.827 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.828 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539420258.828 * [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))))))
1539420258.829 * [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))))))
1539420258.830 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.831 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420258.835 * [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
1539420258.835 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.836 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539420258.836 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420258.836 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.836 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420258.837 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539420258.839 * [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
1539420258.839 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1539420258.840 * [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
1539420258.840 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.840 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.840 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.840 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.840 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.841 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539420258.841 * [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))))))
1539420258.842 * [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))))))
1539420258.843 * [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))))))))
1539420258.843 * [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)))
1539420258.844 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1539420258.844 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.844 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.844 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.844 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.844 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.844 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.844 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.844 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.844 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420258.844 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.844 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420258.844 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.844 * [misc]backup-simplify:  Simplify PI into PI
1539420258.844 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.844 * [misc]backup-simplify:  Simplify n into n
1539420258.844 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420258.844 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420258.844 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420258.844 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.844 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.844 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420258.845 * [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)))
1539420258.845 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420258.845 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420258.845 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420258.845 * [misc]backup-simplify:  Simplify -1 into -1
1539420258.845 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.845 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.845 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.845 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420258.845 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420258.845 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420258.845 * [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))))
1539420258.845 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1539420258.845 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539420258.845 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539420258.845 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539420258.845 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539420258.846 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.846 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.846 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.846 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.846 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.846 * [misc]backup-simplify:  Simplify k into k
1539420258.846 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.846 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.846 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.846 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420258.846 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420258.846 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420258.846 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.846 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.846 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.846 * [misc]backup-simplify:  Simplify PI into PI
1539420258.846 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.846 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.846 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.846 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.846 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.846 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420258.846 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.847 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539420258.847 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.847 * [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)))
1539420258.848 * [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))))
1539420258.848 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420258.848 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420258.848 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420258.848 * [misc]backup-simplify:  Simplify -1 into -1
1539420258.848 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.848 * [misc]backup-simplify:  Simplify k into k
1539420258.848 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420258.848 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420258.848 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420258.848 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420258.848 * [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)))
1539420258.848 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1539420258.848 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.849 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.849 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.849 * [misc]backup-simplify:  Simplify k into k
1539420258.849 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420258.849 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420258.849 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.849 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420258.849 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.849 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420258.849 * [misc]taylor:  Taking taylor expansion of PI in n
1539420258.849 * [misc]backup-simplify:  Simplify PI into PI
1539420258.849 * [misc]taylor:  Taking taylor expansion of n in n
1539420258.849 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.849 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.849 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420258.849 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.849 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420258.849 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420258.850 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539420258.850 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.850 * [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)))
1539420258.851 * [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))))
1539420258.851 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420258.851 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420258.851 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420258.851 * [misc]backup-simplify:  Simplify -1 into -1
1539420258.851 * [misc]taylor:  Taking taylor expansion of k in n
1539420258.851 * [misc]backup-simplify:  Simplify k into k
1539420258.851 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420258.851 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420258.851 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420258.851 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420258.851 * [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)))
1539420258.852 * [misc]taylor:  Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.852 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.852 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.852 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.852 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.852 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420258.852 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420258.852 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420258.852 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420258.852 * [misc]backup-simplify:  Simplify -2 into -2
1539420258.852 * [misc]taylor:  Taking taylor expansion of PI in k
1539420258.852 * [misc]backup-simplify:  Simplify PI into PI
1539420258.852 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420258.852 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420258.852 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420258.852 * [misc]taylor:  Taking taylor expansion of n in k
1539420258.852 * [misc]backup-simplify:  Simplify n into n
1539420258.853 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420258.853 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420258.853 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539420258.853 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420258.853 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539420258.853 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420258.854 * [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))))
1539420258.854 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420258.854 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420258.854 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420258.854 * [misc]backup-simplify:  Simplify -1 into -1
1539420258.854 * [misc]taylor:  Taking taylor expansion of k in k
1539420258.854 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.854 * [misc]backup-simplify:  Simplify 1 into 1
1539420258.854 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420258.854 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420258.854 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420258.855 * [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)))))
1539420258.855 * [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)))))
1539420258.856 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420258.856 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420258.858 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420258.858 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420258.858 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420258.858 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.859 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.859 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420258.860 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420258.861 * [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
1539420258.861 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.861 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.861 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.861 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539420258.861 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539420258.862 * [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))))))
1539420258.862 * [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))))))
1539420258.863 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.864 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420258.867 * [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
1539420258.867 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.867 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420258.867 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420258.868 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420258.868 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539420258.870 * [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
1539420258.870 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420258.870 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1539420258.871 * [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
1539420258.871 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420258.871 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.871 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.871 * [misc]backup-simplify:  Simplify 0 into 0
1539420258.871 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420258.872 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539420258.873 * [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))))))
1539420258.873 * [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))))))
1539420258.875 * [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)))))))))))
1539420258.875 * * * [misc]progress:  simplifying candidates
1539420258.875 * * * * [misc]progress:  [ 1 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 2 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 3 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 4 / 77 ] 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)))>
1539420258.875 * * * * [misc]progress:  [ 5 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 6 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 7 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 8 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 9 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1539420258.875 * * * * [misc]progress:  [ 10 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1539420258.876 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1539420258.876 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420258.877 * * [misc]simplify:  iters left: 5 (21 enodes)
1539420258.881 * * [misc]simplify:  iters left: 4 (47 enodes)
1539420258.889 * * [misc]simplify:  iters left: 3 (109 enodes)
1539420258.929 * * [misc]simplify:  iters left: 2 (300 enodes)
1539420259.134 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1539420259.134 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k)))
1539420259.134 * * * * [misc]progress:  [ 11 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1539420259.134 * * * * [misc]progress:  [ 12 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1539420259.135 * [enter]simplify:  Simplifying (* PI (* n 2))
1539420259.135 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420259.136 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420259.139 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420259.143 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420259.147 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539420259.147 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1539420259.147 * * * * [misc]progress:  [ 13 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539420259.147 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539420259.147 * * [misc]simplify:  iters left: 5 (8 enodes)
1539420259.150 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420259.153 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420259.158 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420259.163 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539420259.164 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539420259.164 * * * * [misc]progress:  [ 14 / 77 ] 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)))>
1539420259.164 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1539420259.164 * * [misc]simplify:  iters left: 5 (6 enodes)
1539420259.166 * * [misc]simplify:  iters left: 4 (8 enodes)
1539420259.168 * * [misc]simplify:  iters left: 3 (11 enodes)
1539420259.171 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1539420259.171 * [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)))
1539420259.171 * * * * [misc]progress:  [ 15 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1539420259.172 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1539420259.172 * * [misc]simplify:  iters left: 5 (6 enodes)
1539420259.173 * * [misc]simplify:  iters left: 4 (8 enodes)
1539420259.176 * * [misc]simplify:  iters left: 3 (11 enodes)
1539420259.179 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1539420259.179 * [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)))
1539420259.179 * * * * [misc]progress:  [ 16 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1539420259.179 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1539420259.179 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420259.181 * * [misc]simplify:  iters left: 3 (7 enodes)
1539420259.183 * * [misc]simplify:  iters left: 2 (10 enodes)
1539420259.185 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1539420259.185 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))
1539420259.186 * * * * [misc]progress:  [ 17 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420259.186 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1539420259.186 * * [misc]simplify:  iters left: 5 (9 enodes)
1539420259.189 * * [misc]simplify:  iters left: 4 (15 enodes)
1539420259.193 * * [misc]simplify:  iters left: 3 (21 enodes)
1539420259.199 * * [misc]simplify:  iters left: 2 (22 enodes)
1539420259.204 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1539420259.204 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539420259.204 * * * * [misc]progress:  [ 18 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420259.204 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1539420259.204 * * [misc]simplify:  iters left: 5 (9 enodes)
1539420259.210 * * [misc]simplify:  iters left: 4 (15 enodes)
1539420259.214 * * [misc]simplify:  iters left: 3 (21 enodes)
1539420259.219 * * [misc]simplify:  iters left: 2 (22 enodes)
1539420259.222 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1539420259.222 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539420259.222 * * * * [misc]progress:  [ 19 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
1539420259.222 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1539420259.222 * * [misc]simplify:  iters left: 5 (7 enodes)
1539420259.223 * * [misc]simplify:  iters left: 4 (9 enodes)
1539420259.225 * * [misc]simplify:  iters left: 3 (12 enodes)
1539420259.226 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539420259.226 * [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)))
1539420259.226 * * * * [misc]progress:  [ 20 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1539420259.226 * * * * [misc]progress:  [ 21 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539420259.226 * * * * [misc]progress:  [ 22 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539420259.226 * * * * [misc]progress:  [ 23 / 77 ] 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)))>
1539420259.227 * * * * [misc]progress:  [ 24 / 77 ] 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)))>
1539420259.227 * * * * [misc]progress:  [ 25 / 77 ] 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)))>
1539420259.227 * * * * [misc]progress:  [ 26 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))>
1539420259.227 * * * * [misc]progress:  [ 27 / 77 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1539420259.227 * * * * [misc]progress:  [ 28 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1539420259.227 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1539420259.227 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420259.229 * * [misc]simplify:  iters left: 5 (26 enodes)
1539420259.234 * * [misc]simplify:  iters left: 4 (53 enodes)
1539420259.244 * * [misc]simplify:  iters left: 3 (137 enodes)
1539420259.314 * * [misc]simplify:  iters left: 2 (487 enodes)
1539420259.852 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420259.852 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420259.852 * * * * [misc]progress:  [ 29 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1539420259.852 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1539420259.853 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420259.857 * * [misc]simplify:  iters left: 5 (26 enodes)
1539420259.864 * * [misc]simplify:  iters left: 4 (53 enodes)
1539420259.883 * * [misc]simplify:  iters left: 3 (137 enodes)
1539420259.939 * * [misc]simplify:  iters left: 2 (487 enodes)
1539420260.535 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420260.535 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420260.535 * * * * [misc]progress:  [ 30 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1539420260.535 * [enter]simplify:  Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))
1539420260.535 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420260.539 * * [misc]simplify:  iters left: 5 (24 enodes)
1539420260.546 * * [misc]simplify:  iters left: 4 (42 enodes)
1539420260.558 * * [misc]simplify:  iters left: 3 (71 enodes)
1539420260.591 * * [misc]simplify:  iters left: 2 (208 enodes)
1539420260.811 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539420260.811 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539420260.811 * * * * [misc]progress:  [ 31 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539420260.811 * * * * [misc]progress:  [ 32 / 77 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539420260.811 * * * * [misc]progress:  [ 33 / 77 ] 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)))))>
1539420260.811 * [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)))
1539420260.811 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420260.817 * * [misc]simplify:  iters left: 5 (31 enodes)
1539420260.826 * * [misc]simplify:  iters left: 4 (67 enodes)
1539420260.848 * * [misc]simplify:  iters left: 3 (124 enodes)
1539420260.892 * * [misc]simplify:  iters left: 2 (195 enodes)
1539420260.945 * * [misc]simplify:  iters left: 1 (309 enodes)
1539420261.075 * [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))))
1539420261.075 * [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))))))
1539420261.075 * * * * [misc]progress:  [ 34 / 77 ] 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)))))>
1539420261.076 * * * * [misc]progress:  [ 35 / 77 ] 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)))))>
1539420261.076 * * * * [misc]progress:  [ 36 / 77 ] 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)))))>
1539420261.076 * * * * [misc]progress:  [ 37 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1539420261.076 * * * * [misc]progress:  [ 38 / 77 ] 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)))))>
1539420261.076 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.076 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.080 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420261.084 * * [misc]simplify:  iters left: 4 (25 enodes)
1539420261.091 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420261.097 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.097 * [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)))))
1539420261.097 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539420261.097 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.100 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420261.105 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420261.111 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420261.116 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539420261.116 * [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)))))
1539420261.116 * * * * [misc]progress:  [ 39 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539420261.116 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539420261.116 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.118 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420261.120 * * [misc]simplify:  iters left: 4 (22 enodes)
1539420261.123 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420261.125 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539420261.125 * [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)))))
1539420261.126 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539420261.126 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.127 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420261.131 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420261.134 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420261.137 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539420261.137 * [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)))))
1539420261.137 * * * * [misc]progress:  [ 40 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420261.137 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539420261.137 * * [misc]simplify:  iters left: 6 (9 enodes)
1539420261.139 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420261.141 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420261.144 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420261.149 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539420261.149 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420261.150 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539420261.150 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.153 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420261.158 * * [misc]simplify:  iters left: 4 (23 enodes)
1539420261.163 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420261.170 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539420261.170 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539420261.170 * * * * [misc]progress:  [ 41 / 77 ] 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)))))>
1539420261.170 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.170 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.174 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420261.179 * * [misc]simplify:  iters left: 4 (25 enodes)
1539420261.185 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420261.192 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.192 * [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)))))
1539420261.192 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539420261.192 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.196 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420261.201 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420261.207 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420261.213 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539420261.213 * [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)))))
1539420261.213 * * * * [misc]progress:  [ 42 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539420261.213 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539420261.213 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.217 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420261.221 * * [misc]simplify:  iters left: 4 (22 enodes)
1539420261.225 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420261.228 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539420261.228 * [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)))))
1539420261.228 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539420261.228 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.230 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420261.232 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420261.235 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420261.238 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539420261.238 * [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)))))
1539420261.238 * * * * [misc]progress:  [ 43 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420261.238 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539420261.238 * * [misc]simplify:  iters left: 6 (9 enodes)
1539420261.239 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420261.243 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420261.245 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420261.248 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539420261.248 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420261.248 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539420261.248 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.249 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420261.252 * * [misc]simplify:  iters left: 4 (23 enodes)
1539420261.254 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420261.257 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539420261.257 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539420261.257 * * * * [misc]progress:  [ 44 / 77 ] 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)))))>
1539420261.257 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.258 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.259 * * [misc]simplify:  iters left: 5 (15 enodes)
1539420261.261 * * [misc]simplify:  iters left: 4 (18 enodes)
1539420261.263 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.263 * [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)))))
1539420261.263 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539420261.263 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.265 * * [misc]simplify:  iters left: 5 (14 enodes)
1539420261.267 * * [misc]simplify:  iters left: 4 (17 enodes)
1539420261.269 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539420261.269 * [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)))))
1539420261.269 * * * * [misc]progress:  [ 45 / 77 ] 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)))))>
1539420261.269 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539420261.269 * * [misc]simplify:  iters left: 6 (10 enodes)
1539420261.270 * * [misc]simplify:  iters left: 5 (12 enodes)
1539420261.272 * * [misc]simplify:  iters left: 4 (15 enodes)
1539420261.274 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539420261.274 * [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)))))
1539420261.274 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539420261.274 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.276 * * [misc]simplify:  iters left: 5 (14 enodes)
1539420261.277 * * [misc]simplify:  iters left: 4 (17 enodes)
1539420261.279 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539420261.279 * [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)))))
1539420261.279 * * * * [misc]progress:  [ 46 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))>
1539420261.280 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1)
1539420261.280 * * [misc]simplify:  iters left: 6 (9 enodes)
1539420261.281 * * [misc]simplify:  iters left: 5 (13 enodes)
1539420261.283 * * [misc]simplify:  iters left: 4 (18 enodes)
1539420261.285 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539420261.285 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1539420261.285 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1539420261.285 * * [misc]simplify:  iters left: 6 (10 enodes)
1539420261.286 * * [misc]simplify:  iters left: 5 (13 enodes)
1539420261.288 * * [misc]simplify:  iters left: 4 (16 enodes)
1539420261.290 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1539420261.290 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1539420261.290 * * * * [misc]progress:  [ 47 / 77 ] 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)))))>
1539420261.290 * [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))))
1539420261.290 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420261.294 * * [misc]simplify:  iters left: 5 (28 enodes)
1539420261.303 * * [misc]simplify:  iters left: 4 (46 enodes)
1539420261.315 * * [misc]simplify:  iters left: 3 (50 enodes)
1539420261.327 * * [misc]simplify:  iters left: 2 (53 enodes)
1539420261.341 * [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))))
1539420261.341 * [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)))))
1539420261.342 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539420261.342 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420261.346 * * [misc]simplify:  iters left: 5 (20 enodes)
1539420261.351 * * [misc]simplify:  iters left: 4 (29 enodes)
1539420261.359 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.366 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539420261.366 * [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)))))
1539420261.366 * * * * [misc]progress:  [ 48 / 77 ] 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)))))>
1539420261.367 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1539420261.367 * * [misc]simplify:  iters left: 6 (15 enodes)
1539420261.371 * * [misc]simplify:  iters left: 5 (23 enodes)
1539420261.378 * * [misc]simplify:  iters left: 4 (34 enodes)
1539420261.387 * * [misc]simplify:  iters left: 3 (37 enodes)
1539420261.396 * [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))))))
1539420261.396 * [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)))))
1539420261.397 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539420261.397 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420261.401 * * [misc]simplify:  iters left: 5 (20 enodes)
1539420261.407 * * [misc]simplify:  iters left: 4 (29 enodes)
1539420261.414 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.421 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539420261.421 * [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)))))
1539420261.421 * * * * [misc]progress:  [ 49 / 77 ] 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))))>
1539420261.422 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)
1539420261.422 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420261.426 * * [misc]simplify:  iters left: 5 (24 enodes)
1539420261.434 * * [misc]simplify:  iters left: 4 (39 enodes)
1539420261.444 * * [misc]simplify:  iters left: 3 (54 enodes)
1539420261.457 * * [misc]simplify:  iters left: 2 (80 enodes)
1539420261.472 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1539420261.472 * [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))))
1539420261.473 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1539420261.473 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420261.475 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420261.478 * * [misc]simplify:  iters left: 4 (28 enodes)
1539420261.481 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.485 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1539420261.485 * [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))))
1539420261.485 * * * * [misc]progress:  [ 50 / 77 ] 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)))))>
1539420261.485 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.485 * * [misc]simplify:  iters left: 6 (15 enodes)
1539420261.487 * * [misc]simplify:  iters left: 5 (23 enodes)
1539420261.490 * * [misc]simplify:  iters left: 4 (32 enodes)
1539420261.494 * * [misc]simplify:  iters left: 3 (34 enodes)
1539420261.498 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.498 * [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)))))
1539420261.498 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539420261.498 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420261.500 * * [misc]simplify:  iters left: 5 (20 enodes)
1539420261.503 * * [misc]simplify:  iters left: 4 (29 enodes)
1539420261.506 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.510 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539420261.510 * [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)))))
1539420261.510 * * * * [misc]progress:  [ 51 / 77 ] 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)))))>
1539420261.510 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539420261.510 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420261.512 * * [misc]simplify:  iters left: 5 (20 enodes)
1539420261.514 * * [misc]simplify:  iters left: 4 (29 enodes)
1539420261.518 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.521 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539420261.521 * [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)))))
1539420261.521 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539420261.521 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420261.523 * * [misc]simplify:  iters left: 5 (20 enodes)
1539420261.526 * * [misc]simplify:  iters left: 4 (29 enodes)
1539420261.530 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.533 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539420261.533 * [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)))))
1539420261.533 * * * * [misc]progress:  [ 52 / 77 ] 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))))>
1539420261.533 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)
1539420261.533 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420261.535 * * [misc]simplify:  iters left: 5 (21 enodes)
1539420261.541 * * [misc]simplify:  iters left: 4 (32 enodes)
1539420261.548 * * [misc]simplify:  iters left: 3 (33 enodes)
1539420261.556 * [exit]simplify:  Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))
1539420261.556 * [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))))
1539420261.556 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1539420261.556 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420261.559 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420261.562 * * [misc]simplify:  iters left: 4 (28 enodes)
1539420261.565 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.569 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1539420261.569 * [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))))
1539420261.569 * * * * [misc]progress:  [ 53 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1539420261.569 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420261.569 * * [misc]simplify:  iters left: 6 (6 enodes)
1539420261.570 * * [misc]simplify:  iters left: 5 (10 enodes)
1539420261.571 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1539420261.571 * [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)))))
1539420261.571 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539420261.571 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420261.573 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420261.575 * * [misc]simplify:  iters left: 4 (28 enodes)
1539420261.579 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.583 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539420261.583 * [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)))))
1539420261.583 * * * * [misc]progress:  [ 54 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1539420261.583 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1539420261.583 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420261.584 * * [misc]simplify:  iters left: 3 (7 enodes)
1539420261.585 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539420261.585 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1539420261.585 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539420261.585 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420261.587 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420261.589 * * [misc]simplify:  iters left: 4 (28 enodes)
1539420261.592 * * [misc]simplify:  iters left: 3 (30 enodes)
1539420261.596 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539420261.597 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1539420261.597 * * * * [misc]progress:  [ 55 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1539420261.597 * [enter]simplify:  Simplifying (/ 1 1)
1539420261.597 * * [misc]simplify:  iters left: 2 (2 enodes)
1539420261.598 * * [misc]simplify:  iters left: 1 (4 enodes)
1539420261.598 * [exit]simplify:  Simplified to 1
1539420261.598 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))
1539420261.599 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1539420261.599 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.602 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420261.607 * * [misc]simplify:  iters left: 4 (27 enodes)
1539420261.614 * * [misc]simplify:  iters left: 3 (29 enodes)
1539420261.621 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))
1539420261.621 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))
1539420261.621 * * * * [misc]progress:  [ 56 / 77 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1539420261.621 * * * * [misc]progress:  [ 57 / 77 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1539420261.621 * * * * [misc]progress:  [ 58 / 77 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1539420261.621 * * * * [misc]progress:  [ 59 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1539420261.622 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539420261.622 * * [misc]simplify:  iters left: 2 (3 enodes)
1539420261.622 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539420261.623 * [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))))
1539420261.623 * * * * [misc]progress:  [ 60 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539420261.623 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539420261.623 * * [misc]simplify:  iters left: 2 (3 enodes)
1539420261.624 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539420261.624 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1539420261.624 * * * * [misc]progress:  [ 61 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1539420261.624 * [enter]simplify:  Simplifying (sqrt k)
1539420261.624 * * [misc]simplify:  iters left: 1 (2 enodes)
1539420261.625 * [exit]simplify:  Simplified to (sqrt k)
1539420261.625 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))
1539420261.625 * * * * [misc]progress:  [ 62 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420261.625 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539420261.625 * * [misc]simplify:  iters left: 5 (7 enodes)
1539420261.627 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420261.630 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420261.632 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420261.634 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539420261.634 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420261.634 * * * * [misc]progress:  [ 63 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420261.634 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539420261.634 * * [misc]simplify:  iters left: 5 (7 enodes)
1539420261.635 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420261.637 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420261.639 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420261.641 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539420261.642 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420261.642 * * * * [misc]progress:  [ 64 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1539420261.642 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1539420261.642 * * [misc]simplify:  iters left: 5 (7 enodes)
1539420261.643 * * [misc]simplify:  iters left: 4 (9 enodes)
1539420261.645 * * [misc]simplify:  iters left: 3 (12 enodes)
1539420261.646 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539420261.646 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1539420261.646 * * * * [misc]progress:  [ 65 / 77 ] 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)))))))>
1539420261.647 * [enter]simplify:  Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1539420261.647 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420261.648 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420261.651 * * [misc]simplify:  iters left: 4 (27 enodes)
1539420261.654 * * [misc]simplify:  iters left: 3 (29 enodes)
1539420261.658 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1539420261.658 * [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)))))))
1539420261.658 * * * * [misc]progress:  [ 66 / 77 ] 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)))))))>
1539420261.658 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1539420261.658 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420261.660 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420261.662 * * [misc]simplify:  iters left: 4 (26 enodes)
1539420261.669 * * [misc]simplify:  iters left: 3 (27 enodes)
1539420261.675 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1539420261.675 * [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)))))))
1539420261.675 * * * * [misc]progress:  [ 67 / 77 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1539420261.675 * * * * [misc]progress:  [ 68 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539420261.676 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539420261.676 * * [misc]simplify:  iters left: 5 (7 enodes)
1539420261.678 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420261.682 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420261.686 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420261.689 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539420261.689 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539420261.689 * * * * [misc]progress:  [ 69 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539420261.689 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420261.689 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420261.690 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420261.691 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420261.693 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420261.695 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420261.695 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539420261.695 * * * * [misc]progress:  [ 70 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539420261.695 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420261.695 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420261.696 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420261.697 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420261.699 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420261.701 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420261.701 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539420261.701 * * * * [misc]progress:  [ 71 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539420261.701 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420261.701 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420261.702 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420261.703 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420261.705 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420261.707 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420261.707 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539420261.707 * * * * [misc]progress:  [ 72 / 77 ] 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)))>
1539420261.707 * [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)))))
1539420261.707 * * [misc]simplify:  iters left: 6 (37 enodes)
1539420261.715 * * [misc]simplify:  iters left: 5 (105 enodes)
1539420261.754 * * [misc]simplify:  iters left: 4 (339 enodes)
1539420261.986 * [exit]simplify:  Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))
1539420261.986 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k)))
1539420261.986 * * * * [misc]progress:  [ 73 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1539420261.986 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1539420261.987 * * [misc]simplify:  iters left: 6 (15 enodes)
1539420261.993 * * [misc]simplify:  iters left: 5 (33 enodes)
1539420262.003 * * [misc]simplify:  iters left: 4 (64 enodes)
1539420262.015 * * [misc]simplify:  iters left: 3 (171 enodes)
1539420262.110 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))
1539420262.110 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k)))
1539420262.110 * * * * [misc]progress:  [ 74 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1539420262.110 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1539420262.110 * * [misc]simplify:  iters left: 6 (15 enodes)
1539420262.113 * * [misc]simplify:  iters left: 5 (30 enodes)
1539420262.119 * * [misc]simplify:  iters left: 4 (65 enodes)
1539420262.131 * * [misc]simplify:  iters left: 3 (200 enodes)
1539420262.257 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))
1539420262.257 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k)))
1539420262.257 * * * * [misc]progress:  [ 75 / 77 ] 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)))))))))))))))))))))))>
1539420262.258 * [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))))))))))))))))))))))
1539420262.258 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420262.258 * * * * [misc]progress:  [ 76 / 77 ] 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)))))))))>
1539420262.258 * [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))))))))
1539420262.258 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420262.258 * * * * [misc]progress:  [ 77 / 77 ] 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))))))))))))>
1539420262.258 * [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)))))))))))
1539420262.258 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420262.258 * * * [misc]progress:  adding candidates to table
1539420263.115 * * [misc]progress:  iteration 2 / 4
1539420263.115 * * * [misc]progress:  picking best candidate
1539420263.162 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420263.162 * * * [misc]progress:  localizing error
1539420263.197 * * * [misc]progress:  generating rewritten candidates
1539420263.197 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1)
1539420263.202 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
1539420263.206 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
1539420263.237 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
1539420263.241 * * * [misc]progress:  generating series expansions
1539420263.241 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1)
1539420263.241 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539420263.241 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539420263.241 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.241 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.241 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.241 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.241 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.241 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.242 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.242 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.242 * [misc]backup-simplify:  Simplify PI into PI
1539420263.242 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.242 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.242 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.242 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.242 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.242 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.242 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.242 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.242 * [misc]backup-simplify:  Simplify PI into PI
1539420263.243 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.243 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420263.243 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.243 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.244 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420263.244 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.246 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420263.247 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420263.247 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.248 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.250 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420263.250 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.252 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.259 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420263.259 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.262 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.265 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420263.265 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.268 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.272 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420263.272 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.276 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420263.280 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420263.280 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.281 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539420263.281 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539420263.281 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539420263.281 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420263.281 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.281 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.281 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.281 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.281 * [misc]backup-simplify:  Simplify PI into PI
1539420263.281 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.281 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.281 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.282 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.282 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420263.282 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.282 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.282 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.282 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.282 * [misc]backup-simplify:  Simplify PI into PI
1539420263.282 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.282 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.282 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.282 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.282 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.283 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.284 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420263.284 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420263.285 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.286 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.287 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420263.287 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.289 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.290 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.290 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.292 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.295 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.295 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.297 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.300 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.300 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.302 * [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
1539420263.305 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.306 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.306 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539420263.306 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539420263.306 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539420263.306 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420263.306 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.306 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.306 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.306 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.306 * [misc]backup-simplify:  Simplify PI into PI
1539420263.306 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.306 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.306 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.307 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.307 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420263.307 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.307 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.307 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.307 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.307 * [misc]backup-simplify:  Simplify PI into PI
1539420263.307 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.307 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.307 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.307 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.308 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.308 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.309 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420263.309 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420263.309 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.311 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.312 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420263.312 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.314 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.315 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.315 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.317 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.319 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.319 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.321 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.324 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.324 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.326 * [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
1539420263.331 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.331 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.331 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539420263.331 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
1539420263.332 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539420263.332 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539420263.332 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.332 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.332 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.332 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.332 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.332 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.332 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.332 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.332 * [misc]backup-simplify:  Simplify PI into PI
1539420263.332 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.332 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.332 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.332 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.332 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.332 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.332 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.332 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.332 * [misc]backup-simplify:  Simplify PI into PI
1539420263.333 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.333 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420263.333 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.333 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.334 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420263.334 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.335 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420263.336 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420263.336 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.338 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.339 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420263.339 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.341 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.343 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420263.343 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.346 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.349 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420263.349 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.352 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.355 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420263.356 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.359 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420263.364 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420263.364 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.364 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539420263.364 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539420263.364 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539420263.364 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420263.364 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.364 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.364 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.364 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.364 * [misc]backup-simplify:  Simplify PI into PI
1539420263.364 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.364 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.364 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.365 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.365 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420263.365 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.365 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.365 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.365 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.365 * [misc]backup-simplify:  Simplify PI into PI
1539420263.365 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.365 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.365 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.365 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.366 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.366 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.367 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420263.368 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420263.368 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.369 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.370 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420263.370 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.372 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.373 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.373 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.375 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.378 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.378 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.380 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.383 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.383 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.385 * [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
1539420263.388 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.388 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.389 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539420263.389 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539420263.389 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539420263.389 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420263.389 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.389 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.389 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.389 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.389 * [misc]backup-simplify:  Simplify PI into PI
1539420263.389 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.389 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.389 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.389 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.389 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420263.389 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.389 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.389 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.389 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.389 * [misc]backup-simplify:  Simplify PI into PI
1539420263.390 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.390 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.390 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.390 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.390 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.390 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.391 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420263.392 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420263.392 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.393 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.394 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420263.394 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.396 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.398 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.398 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.400 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.402 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.402 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.404 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.407 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.407 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.410 * [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
1539420263.414 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.414 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.414 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539420263.414 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
1539420263.415 * [misc]backup-simplify:  Simplify (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k)))
1539420263.415 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0
1539420263.415 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k
1539420263.415 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539420263.415 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.415 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.415 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.415 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.415 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.415 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420263.416 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.416 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.416 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.416 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.416 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.416 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.416 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420263.416 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.416 * [misc]backup-simplify:  Simplify n into n
1539420263.416 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.416 * [misc]backup-simplify:  Simplify PI into PI
1539420263.416 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420263.416 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420263.416 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420263.416 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420263.416 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.417 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539420263.417 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.417 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420263.417 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539420263.418 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539420263.418 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420263.419 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420263.419 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539420263.419 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420263.419 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539420263.419 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539420263.419 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420263.419 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.419 * [misc]backup-simplify:  Simplify n into n
1539420263.419 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.419 * [misc]backup-simplify:  Simplify PI into PI
1539420263.419 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.419 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.419 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.419 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420263.419 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539420263.419 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.420 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539420263.420 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.420 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.420 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.420 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.420 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.420 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.420 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.420 * [misc]backup-simplify:  Simplify k into k
1539420263.420 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420263.420 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.421 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.421 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.421 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.421 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.421 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.421 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.421 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.421 * [misc]backup-simplify:  Simplify PI into PI
1539420263.421 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.421 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420263.422 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.422 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420263.423 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.423 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420263.423 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420263.424 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.424 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539420263.425 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539420263.425 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539420263.425 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539420263.425 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.425 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.425 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.425 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.425 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.425 * [misc]backup-simplify:  Simplify PI into PI
1539420263.425 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.425 * [misc]backup-simplify:  Simplify k into k
1539420263.425 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.426 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.426 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539420263.426 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.426 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539420263.426 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.427 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.427 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.427 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.427 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.427 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.427 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.427 * [misc]backup-simplify:  Simplify k into k
1539420263.427 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.427 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.427 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.427 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.427 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.427 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.427 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.427 * [misc]backup-simplify:  Simplify PI into PI
1539420263.428 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.428 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420263.428 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.428 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420263.429 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.429 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420263.429 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420263.429 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.430 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539420263.430 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539420263.430 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539420263.430 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539420263.430 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.430 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.430 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.430 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.430 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.430 * [misc]backup-simplify:  Simplify PI into PI
1539420263.430 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.430 * [misc]backup-simplify:  Simplify k into k
1539420263.430 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.431 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.431 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539420263.431 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.431 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539420263.431 * [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))))
1539420263.432 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1539420263.432 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420263.432 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.432 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420263.433 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420263.433 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420263.435 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420263.435 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539420263.435 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.435 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.436 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539420263.437 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420263.437 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0
1539420263.438 * [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)))
1539420263.438 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.438 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.438 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.438 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.438 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.438 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.438 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.438 * [misc]backup-simplify:  Simplify PI into PI
1539420263.438 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.438 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.438 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.438 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.438 * [misc]backup-simplify:  Simplify n into n
1539420263.439 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.439 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.439 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.439 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.439 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.439 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.439 * [misc]backup-simplify:  Simplify PI into PI
1539420263.439 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.439 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.439 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.439 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.439 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.440 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.440 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539420263.440 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539420263.441 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539420263.441 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420263.442 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420263.443 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420263.443 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539420263.443 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420263.443 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420263.443 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.443 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.443 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.444 * [misc]backup-simplify:  Simplify (* PI 1) into PI
1539420263.444 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539420263.444 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539420263.445 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539420263.445 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420263.446 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420263.446 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.447 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420263.447 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539420263.447 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539420263.447 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420263.448 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.449 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420263.452 * [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
1539420263.452 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.452 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539420263.452 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.453 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.453 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539420263.455 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420263.455 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420263.456 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0
1539420263.457 * [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))))
1539420263.457 * [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
1539420263.457 * [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
1539420263.457 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.457 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.457 * [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
1539420263.457 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.457 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.457 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.457 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.457 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.457 * [misc]backup-simplify:  Simplify PI into PI
1539420263.457 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.457 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.457 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539420263.457 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.458 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.458 * [misc]backup-simplify:  Simplify n into n
1539420263.458 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.458 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.458 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.458 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.458 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.458 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.458 * [misc]backup-simplify:  Simplify PI into PI
1539420263.458 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.458 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.458 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.458 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.458 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.458 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.459 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539420263.459 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539420263.459 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539420263.460 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420263.461 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420263.461 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420263.462 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539420263.462 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420263.462 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420263.462 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539420263.462 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.462 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.462 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.462 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420263.463 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539420263.463 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420263.463 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420263.464 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539420263.465 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420263.466 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420263.467 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))
1539420263.470 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1539420263.470 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420263.474 * [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1539420263.478 * [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)))))))
1539420263.481 * [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)))))))
1539420263.483 * [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)))))))
1539420263.484 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420263.485 * [misc]backup-simplify:  Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))
1539420263.487 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1539420263.490 * [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1539420263.493 * [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))))))))
1539420263.495 * [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))))))))
1539420263.497 * [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))))))))
1539420263.501 * [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))))))))))))))
1539420263.501 * [misc]backup-simplify:  Simplify (/ (* (pow (* PI (* (/ 1 n) 2)) 1/2) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n)))
1539420263.501 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0
1539420263.501 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k
1539420263.501 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539420263.501 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.501 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.501 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.502 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.502 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.502 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420263.502 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.502 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.502 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.502 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.502 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420263.502 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.502 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.502 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420263.502 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.502 * [misc]backup-simplify:  Simplify PI into PI
1539420263.502 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.502 * [misc]backup-simplify:  Simplify n into n
1539420263.502 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420263.502 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420263.502 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420263.502 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420263.502 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420263.503 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420263.503 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539420263.503 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539420263.503 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539420263.503 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420263.503 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.503 * [misc]backup-simplify:  Simplify PI into PI
1539420263.503 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.503 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.503 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.503 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.503 * [misc]backup-simplify:  Simplify n into n
1539420263.503 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420263.503 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420263.503 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420263.504 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.504 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539420263.504 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.504 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.504 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.504 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.504 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.504 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.504 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.504 * [misc]backup-simplify:  Simplify k into k
1539420263.504 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420263.504 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.504 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.504 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.504 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.504 * [misc]backup-simplify:  Simplify PI into PI
1539420263.504 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.504 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.504 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.505 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.505 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.505 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.505 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420263.505 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.506 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.506 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420263.506 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.506 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539420263.506 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539420263.506 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539420263.506 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.506 * [misc]backup-simplify:  Simplify PI into PI
1539420263.506 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.506 * [misc]backup-simplify:  Simplify k into k
1539420263.506 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.506 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.506 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.506 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539420263.506 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539420263.507 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.507 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539420263.507 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.507 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.507 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.507 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.507 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.507 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.507 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.507 * [misc]backup-simplify:  Simplify k into k
1539420263.507 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420263.507 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.507 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.507 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.507 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.507 * [misc]backup-simplify:  Simplify PI into PI
1539420263.507 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.507 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.507 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.508 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.508 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.508 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.508 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420263.508 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.508 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.509 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420263.509 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.509 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539420263.509 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539420263.509 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539420263.509 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.509 * [misc]backup-simplify:  Simplify PI into PI
1539420263.509 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.509 * [misc]backup-simplify:  Simplify k into k
1539420263.509 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.509 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.509 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.509 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539420263.509 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539420263.510 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.510 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539420263.510 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))
1539420263.511 * [misc]backup-simplify:  Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0
1539420263.511 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420263.511 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.511 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.511 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.511 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420263.512 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420263.513 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420263.514 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420263.514 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420263.514 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.514 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.515 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539420263.515 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420263.516 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0
1539420263.517 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))))
1539420263.517 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.517 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.517 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.517 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.517 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.517 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.517 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.517 * [misc]backup-simplify:  Simplify PI into PI
1539420263.517 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.517 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.517 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.517 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.517 * [misc]backup-simplify:  Simplify n into n
1539420263.517 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.517 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.517 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.517 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.517 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.518 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420263.518 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420263.518 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420263.519 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.519 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539420263.519 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.519 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.519 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.519 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.519 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.519 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420263.519 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.519 * [misc]backup-simplify:  Simplify PI into PI
1539420263.519 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.519 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.519 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.519 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420263.520 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420263.520 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0
1539420263.520 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539420263.520 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.520 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.520 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.520 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539420263.521 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539420263.521 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539420263.521 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.522 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.522 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420263.526 * [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
1539420263.527 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.527 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420263.527 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420263.527 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.528 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.529 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539420263.532 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420263.533 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420263.534 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539420263.536 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))))
1539420263.536 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.536 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.536 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.536 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.536 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.536 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.536 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.536 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.536 * [misc]backup-simplify:  Simplify PI into PI
1539420263.537 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.537 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.537 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.537 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.537 * [misc]backup-simplify:  Simplify n into n
1539420263.537 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.537 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.537 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.537 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.537 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.538 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420263.538 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420263.539 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420263.540 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.540 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539420263.540 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.540 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.540 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.540 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.540 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.540 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539420263.540 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539420263.540 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.540 * [misc]backup-simplify:  Simplify PI into PI
1539420263.540 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539420263.540 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.540 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.540 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.541 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420263.542 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539420263.543 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))
1539420263.544 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539420263.545 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539420263.546 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539420263.546 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.547 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539420263.547 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.548 * [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)))
1539420263.548 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.550 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.552 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.560 * [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
1539420263.560 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.560 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.560 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420263.561 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539420263.561 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.562 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.562 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539420263.566 * [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
1539420263.566 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420263.567 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539420263.569 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))))
1539420263.569 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k
1539420263.569 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k
1539420263.569 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.570 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.570 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k
1539420263.570 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420263.570 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420263.570 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.570 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.570 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420263.570 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420263.570 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.570 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.570 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.570 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.570 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.570 * [misc]backup-simplify:  Simplify PI into PI
1539420263.570 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.571 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.571 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.571 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.571 * [misc]backup-simplify:  Simplify n into n
1539420263.571 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.571 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.571 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.571 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.571 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.571 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420263.572 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420263.572 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420263.573 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.573 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539420263.573 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.573 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.573 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.573 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.574 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.574 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539420263.574 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539420263.574 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.574 * [misc]backup-simplify:  Simplify PI into PI
1539420263.574 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539420263.574 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.574 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.574 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.575 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539420263.576 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420263.577 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539420263.579 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1539420263.580 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0
1539420263.580 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.580 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.580 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.581 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539420263.582 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.583 * [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)))
1539420263.583 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.585 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.587 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.600 * [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
1539420263.601 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.601 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.601 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.601 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420263.602 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0
1539420263.602 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.603 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.604 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539420263.609 * [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
1539420263.611 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420263.612 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0
1539420263.614 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))))
1539420263.614 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k
1539420263.614 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k
1539420263.614 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.614 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.614 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k
1539420263.614 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420263.614 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420263.614 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.614 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.614 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420263.614 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420263.614 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.615 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.615 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.615 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.615 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.615 * [misc]backup-simplify:  Simplify PI into PI
1539420263.615 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.615 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.615 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.615 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.615 * [misc]backup-simplify:  Simplify n into n
1539420263.615 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.616 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.616 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.616 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.616 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.616 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420263.617 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420263.617 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420263.618 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.618 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539420263.618 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.618 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.618 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.618 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.618 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.618 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539420263.618 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539420263.618 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.618 * [misc]backup-simplify:  Simplify PI into PI
1539420263.618 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539420263.618 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.619 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.619 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.619 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420263.619 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420263.620 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539420263.620 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420263.622 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))
1539420263.623 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))
1539420263.624 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))
1539420263.625 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))
1539420263.626 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539420263.626 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420263.628 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420263.630 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0
1539420263.632 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0
1539420263.632 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.632 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.632 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.633 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539420263.633 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.635 * [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)))
1539420263.635 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.638 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.641 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.661 * [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
1539420263.661 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.661 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.661 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.661 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.662 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420263.663 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0
1539420263.663 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.663 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.665 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539420263.673 * [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
1539420263.674 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420263.675 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0
1539420263.678 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))))
1539420263.678 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.678 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.678 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.678 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.678 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.678 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.678 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.678 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.678 * [misc]backup-simplify:  Simplify PI into PI
1539420263.679 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.679 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.679 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.679 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.679 * [misc]backup-simplify:  Simplify n into n
1539420263.679 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.679 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.679 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.679 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.679 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.680 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420263.680 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420263.681 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420263.681 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.682 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539420263.682 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.682 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.682 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.682 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.682 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.682 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539420263.682 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539420263.682 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.682 * [misc]backup-simplify:  Simplify PI into PI
1539420263.682 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539420263.682 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.682 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.682 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.683 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420263.683 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420263.684 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539420263.685 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539420263.687 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539420263.690 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0
1539420263.690 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.690 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.691 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539420263.692 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420263.695 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420263.697 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0
1539420263.699 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0
1539420263.699 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.699 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.699 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.700 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539420263.701 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.704 * [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)))
1539420263.704 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420263.706 * [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
1539420263.710 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.740 * [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
1539420263.740 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.741 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.741 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.741 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.741 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.741 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420263.742 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0
1539420263.742 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420263.743 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420263.744 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1539420263.758 * [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
1539420263.760 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420263.761 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0
1539420263.764 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))))
1539420263.764 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k
1539420263.764 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k
1539420263.764 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.764 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.764 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k
1539420263.764 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420263.764 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420263.765 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420263.765 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420263.765 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420263.765 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420263.765 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420263.765 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420263.765 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.765 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.765 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.765 * [misc]backup-simplify:  Simplify PI into PI
1539420263.765 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420263.765 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.766 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.766 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.766 * [misc]backup-simplify:  Simplify n into n
1539420263.766 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.766 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.766 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.766 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.766 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.766 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420263.767 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420263.767 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420263.768 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420263.768 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539420263.768 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420263.768 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420263.768 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.768 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420263.768 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420263.768 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539420263.769 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539420263.769 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.769 * [misc]backup-simplify:  Simplify PI into PI
1539420263.769 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539420263.769 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.769 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.769 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.769 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420263.770 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539420263.770 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420263.770 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420263.770 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539420263.771 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539420263.772 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))
1539420263.773 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))
1539420263.775 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))
1539420263.776 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))
1539420263.780 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k)))))))
1539420263.781 * [misc]backup-simplify:  Simplify (/ (* (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k)))
1539420263.781 * [misc]approximate:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in (n k) around 0
1539420263.781 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in k
1539420263.781 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in k
1539420263.781 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539420263.781 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539420263.781 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539420263.781 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420263.781 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420263.781 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.781 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420263.781 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.781 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.781 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.782 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420263.782 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420263.782 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420263.782 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420263.782 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.782 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420263.782 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.782 * [misc]backup-simplify:  Simplify PI into PI
1539420263.782 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.782 * [misc]backup-simplify:  Simplify n into n
1539420263.782 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420263.782 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420263.782 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420263.782 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420263.782 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420263.783 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539420263.783 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539420263.783 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539420263.783 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539420263.783 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.783 * [misc]backup-simplify:  Simplify PI into PI
1539420263.783 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420263.783 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.783 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.783 * [misc]backup-simplify:  Simplify n into n
1539420263.783 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420263.784 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539420263.784 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539420263.784 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539420263.784 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539420263.785 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539420263.785 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420263.785 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420263.785 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420263.785 * [misc]backup-simplify:  Simplify -1 into -1
1539420263.785 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.785 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.785 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.785 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420263.785 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.786 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420263.786 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))
1539420263.786 * [misc]backup-simplify:  Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))
1539420263.786 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in n
1539420263.786 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539420263.786 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539420263.786 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539420263.786 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539420263.786 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420263.786 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.786 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.786 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420263.786 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.786 * [misc]backup-simplify:  Simplify k into k
1539420263.787 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420263.787 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420263.787 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420263.787 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.787 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.787 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.787 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.787 * [misc]backup-simplify:  Simplify PI into PI
1539420263.787 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.787 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.787 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.787 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.787 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.788 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420263.788 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420263.789 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420263.789 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420263.790 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420263.790 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539420263.790 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539420263.790 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539420263.790 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.790 * [misc]backup-simplify:  Simplify PI into PI
1539420263.790 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.790 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.790 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.790 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.790 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.790 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420263.791 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539420263.791 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.791 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420263.792 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420263.792 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420263.792 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420263.792 * [misc]backup-simplify:  Simplify -1 into -1
1539420263.792 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.792 * [misc]backup-simplify:  Simplify k into k
1539420263.792 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420263.792 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420263.792 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420263.792 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420263.793 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539420263.794 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420263.794 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420263.797 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420263.797 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420263.797 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420263.798 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420263.799 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420263.800 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420263.801 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420263.803 * [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))
1539420263.803 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.803 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.803 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.803 * [misc]backup-simplify:  Simplify k into k
1539420263.803 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420263.803 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.803 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.803 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420263.803 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.803 * [misc]backup-simplify:  Simplify PI into PI
1539420263.803 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.803 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.803 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.804 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420263.804 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.804 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420263.804 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420263.805 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420263.806 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420263.806 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420263.806 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539420263.806 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539420263.806 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539420263.806 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.806 * [misc]backup-simplify:  Simplify PI into PI
1539420263.806 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420263.806 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.806 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.806 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.806 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.807 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420263.807 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539420263.807 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.808 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420263.808 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420263.808 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420263.808 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420263.808 * [misc]backup-simplify:  Simplify -1 into -1
1539420263.808 * [misc]taylor:  Taking taylor expansion of k in n
1539420263.808 * [misc]backup-simplify:  Simplify k into k
1539420263.808 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420263.808 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420263.808 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420263.808 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420263.809 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539420263.810 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420263.811 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420263.814 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420263.814 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420263.814 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420263.815 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420263.815 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420263.816 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420263.817 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420263.817 * [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))
1539420263.817 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k
1539420263.817 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.817 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.817 * [misc]taylor:  Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539420263.817 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539420263.817 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.817 * [misc]backup-simplify:  Simplify PI into PI
1539420263.817 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539420263.817 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539420263.817 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420263.818 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.818 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539420263.818 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539420263.818 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539420263.818 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539420263.818 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420263.818 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.818 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.818 * [misc]backup-simplify:  Simplify PI into PI
1539420263.818 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.818 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420263.818 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.818 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.818 * [misc]backup-simplify:  Simplify n into n
1539420263.818 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.818 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.818 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.818 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.818 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.819 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539420263.819 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539420263.819 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420263.820 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420263.820 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420263.820 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420263.820 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420263.820 * [misc]backup-simplify:  Simplify -1 into -1
1539420263.820 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.820 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.820 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.820 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420263.820 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.820 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420263.821 * [misc]backup-simplify:  Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539420263.821 * [misc]backup-simplify:  Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539420263.821 * [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)))))
1539420263.822 * [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)))))
1539420263.822 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539420263.823 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0
1539420263.824 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539420263.825 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420263.825 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420263.828 * [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
1539420263.828 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420263.829 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420263.829 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420263.830 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539420263.831 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420263.832 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420263.834 * [misc]backup-simplify:  Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))))
1539420263.834 * [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
1539420263.834 * [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
1539420263.834 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420263.834 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420263.834 * [misc]taylor:  Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.834 * [misc]backup-simplify:  Simplify PI into PI
1539420263.834 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420263.834 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.834 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539420263.834 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420263.834 * [misc]backup-simplify:  Simplify -2 into -2
1539420263.834 * [misc]taylor:  Taking taylor expansion of PI in k
1539420263.834 * [misc]backup-simplify:  Simplify PI into PI
1539420263.834 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420263.835 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420263.835 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420263.835 * [misc]taylor:  Taking taylor expansion of n in k
1539420263.835 * [misc]backup-simplify:  Simplify n into n
1539420263.835 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420263.835 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.835 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.835 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.835 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420263.835 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539420263.835 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539420263.836 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420263.837 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420263.837 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420263.837 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420263.837 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420263.837 * [misc]backup-simplify:  Simplify -1 into -1
1539420263.837 * [misc]taylor:  Taking taylor expansion of k in k
1539420263.837 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.837 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.837 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420263.837 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420263.838 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420263.838 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420263.838 * [misc]backup-simplify:  Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539420263.839 * [misc]backup-simplify:  Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539420263.839 * [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)))))
1539420263.840 * [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))))))
1539420263.841 * [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))))))
1539420263.841 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0
1539420263.841 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539420263.842 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539420263.843 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420263.844 * [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))))))
1539420263.844 * [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))))))
1539420263.847 * [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 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539420263.847 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
1539420263.848 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) 1/2) into (pow (* 2 (* n PI)) 1/2)
1539420263.848 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0
1539420263.848 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539420263.848 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539420263.848 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539420263.848 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.848 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.848 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420263.848 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.848 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.848 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.848 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.848 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.848 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.848 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.848 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.848 * [misc]backup-simplify:  Simplify PI into PI
1539420263.848 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.849 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420263.849 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.850 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420263.850 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.851 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.851 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539420263.852 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420263.852 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539420263.853 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539420263.853 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539420263.853 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420263.853 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420263.853 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420263.853 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420263.853 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420263.853 * [misc]backup-simplify:  Simplify 2 into 2
1539420263.853 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420263.853 * [misc]taylor:  Taking taylor expansion of n in n
1539420263.853 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.853 * [misc]backup-simplify:  Simplify 1 into 1
1539420263.853 * [misc]taylor:  Taking taylor expansion of PI in n
1539420263.853 * [misc]backup-simplify:  Simplify PI into PI
1539420263.853 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420263.853 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420263.854 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420263.855 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420263.855 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420263.856 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.856 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539420263.857 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420263.857 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420263.858 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420263.859 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420263.862 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420263.863 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.863 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539420263.865 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420263.865 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.867 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420263.868 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420263.873 * [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
1539420263.874 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.875 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539420263.877 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420263.877 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.879 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420263.881 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420263.889 * [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
1539420263.890 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.891 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539420263.895 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539420263.895 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.898 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420263.901 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420263.914 * [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
1539420263.915 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.916 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0
1539420263.922 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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
1539420263.922 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.926 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420263.929 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420263.950 * [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
1539420263.950 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420263.952 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0
1539420263.961 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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
1539420263.961 * [misc]backup-simplify:  Simplify 0 into 0
1539420263.966 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420263.970 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420264.001 * [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
1539420264.002 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420264.004 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))))) into 0
1539420264.018 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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
1539420264.018 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.019 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420264.019 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 n) 2)) 1/2) into (pow (* 2 (/ PI n)) 1/2)
1539420264.019 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0
1539420264.019 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539420264.019 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539420264.019 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539420264.019 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420264.019 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420264.019 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420264.019 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420264.019 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420264.019 * [misc]backup-simplify:  Simplify 2 into 2
1539420264.019 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420264.019 * [misc]taylor:  Taking taylor expansion of PI in n
1539420264.019 * [misc]backup-simplify:  Simplify PI into PI
1539420264.019 * [misc]taylor:  Taking taylor expansion of n in n
1539420264.019 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.019 * [misc]backup-simplify:  Simplify 1 into 1
1539420264.020 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420264.020 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420264.021 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420264.021 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.022 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539420264.022 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539420264.022 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539420264.022 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539420264.022 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539420264.022 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420264.022 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420264.023 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420264.023 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420264.023 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420264.023 * [misc]backup-simplify:  Simplify 2 into 2
1539420264.023 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420264.023 * [misc]taylor:  Taking taylor expansion of PI in n
1539420264.023 * [misc]backup-simplify:  Simplify PI into PI
1539420264.023 * [misc]taylor:  Taking taylor expansion of n in n
1539420264.023 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.023 * [misc]backup-simplify:  Simplify 1 into 1
1539420264.023 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420264.023 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420264.024 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420264.024 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.025 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539420264.025 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539420264.026 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539420264.028 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420264.028 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420264.031 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420264.032 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.032 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539420264.034 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420264.034 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.035 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.036 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420264.041 * [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
1539420264.042 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.043 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539420264.045 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420264.045 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.047 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.049 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420264.057 * [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
1539420264.057 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.058 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539420264.062 * [misc]backup-simplify:  Simplify (* (exp (* 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
1539420264.062 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.064 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.066 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420264.080 * [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
1539420264.080 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.082 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539420264.088 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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
1539420264.088 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.090 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.093 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420264.113 * [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
1539420264.114 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.115 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539420264.124 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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
1539420264.125 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.127 * [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
1539420264.131 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420264.163 * [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
1539420264.163 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420264.165 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1539420264.178 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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
1539420264.178 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.179 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539420264.179 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 (- n)) 2)) 1/2) into (pow (* -2 (/ PI n)) 1/2)
1539420264.179 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0
1539420264.179 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539420264.179 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539420264.179 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539420264.179 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420264.179 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420264.179 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420264.179 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420264.179 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420264.179 * [misc]backup-simplify:  Simplify -2 into -2
1539420264.179 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420264.179 * [misc]taylor:  Taking taylor expansion of PI in n
1539420264.179 * [misc]backup-simplify:  Simplify PI into PI
1539420264.179 * [misc]taylor:  Taking taylor expansion of n in n
1539420264.179 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.179 * [misc]backup-simplify:  Simplify 1 into 1
1539420264.180 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420264.180 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420264.181 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420264.181 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.182 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420264.182 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539420264.182 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539420264.182 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539420264.182 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539420264.182 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420264.182 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420264.182 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420264.182 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420264.182 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420264.182 * [misc]backup-simplify:  Simplify -2 into -2
1539420264.182 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420264.182 * [misc]taylor:  Taking taylor expansion of PI in n
1539420264.182 * [misc]backup-simplify:  Simplify PI into PI
1539420264.182 * [misc]taylor:  Taking taylor expansion of n in n
1539420264.182 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.183 * [misc]backup-simplify:  Simplify 1 into 1
1539420264.183 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420264.183 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420264.184 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420264.184 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.185 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420264.185 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539420264.186 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539420264.187 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420264.187 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420264.190 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420264.190 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.191 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420264.193 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420264.193 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.194 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.195 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420264.199 * [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
1539420264.200 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.200 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539420264.203 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420264.203 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.204 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.205 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420264.212 * [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
1539420264.213 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.214 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539420264.217 * [misc]backup-simplify:  Simplify (* (exp (* 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
1539420264.217 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.219 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.221 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420264.233 * [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
1539420264.234 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.235 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0
1539420264.240 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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
1539420264.241 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.243 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420264.245 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420264.263 * [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
1539420264.264 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.265 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0
1539420264.274 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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
1539420264.274 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.277 * [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
1539420264.280 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420264.310 * [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
1539420264.311 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420264.312 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))))) into 0
1539420264.326 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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
1539420264.326 * [misc]backup-simplify:  Simplify 0 into 0
1539420264.327 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539420264.327 * * * [misc]progress:  simplifying candidates
1539420264.327 * * * * [misc]progress:  [ 1 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (pow (* PI (* n 2)) 1) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 2 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (exp (log (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 3 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (log (exp (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 4 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 5 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 6 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 7 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 1 (* PI (* n 2))) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 8 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 9 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 10 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* PI (* n 2)) 1) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.327 * * * * [misc]progress:  [ 11 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (log (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 12 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (log (exp (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 13 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 14 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 15 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 16 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 1 (* PI (* n 2))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 17 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 18 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420264.328 * * * * [misc]progress:  [ 19 / 74 ] simplifiying candidate #<alt (λ (k n) (pow (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1))>
1539420264.328 * * * * [misc]progress:  [ 20 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539420264.328 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539420264.328 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420264.333 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420264.343 * * [misc]simplify:  iters left: 4 (82 enodes)
1539420264.361 * * [misc]simplify:  iters left: 3 (233 enodes)
1539420264.475 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420264.475 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420264.475 * * * * [misc]progress:  [ 21 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539420264.476 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539420264.476 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420264.481 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420264.494 * * [misc]simplify:  iters left: 4 (82 enodes)
1539420264.524 * * [misc]simplify:  iters left: 3 (233 enodes)
1539420264.619 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420264.619 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420264.619 * * * * [misc]progress:  [ 22 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539420264.620 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539420264.620 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420264.625 * * [misc]simplify:  iters left: 5 (33 enodes)
1539420264.636 * * [misc]simplify:  iters left: 4 (73 enodes)
1539420264.666 * * [misc]simplify:  iters left: 3 (205 enodes)
1539420264.789 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420264.790 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420264.790 * * * * [misc]progress:  [ 23 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539420264.790 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539420264.790 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420264.795 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420264.806 * * [misc]simplify:  iters left: 4 (82 enodes)
1539420264.829 * * [misc]simplify:  iters left: 3 (233 enodes)
1539420264.921 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420264.921 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420264.921 * * * * [misc]progress:  [ 24 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539420264.921 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539420264.922 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420264.924 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420264.930 * * [misc]simplify:  iters left: 4 (82 enodes)
1539420264.950 * * [misc]simplify:  iters left: 3 (233 enodes)
1539420265.072 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420265.072 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420265.072 * * * * [misc]progress:  [ 25 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539420265.072 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539420265.073 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420265.075 * * [misc]simplify:  iters left: 5 (33 enodes)
1539420265.080 * * [misc]simplify:  iters left: 4 (73 enodes)
1539420265.099 * * [misc]simplify:  iters left: 3 (205 enodes)
1539420265.180 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420265.180 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420265.180 * * * * [misc]progress:  [ 26 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539420265.180 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539420265.180 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420265.183 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420265.189 * * [misc]simplify:  iters left: 4 (83 enodes)
1539420265.207 * * [misc]simplify:  iters left: 3 (229 enodes)
1539420265.323 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539420265.323 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539420265.323 * * * * [misc]progress:  [ 27 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539420265.323 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539420265.323 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420265.326 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420265.332 * * [misc]simplify:  iters left: 4 (83 enodes)
1539420265.366 * * [misc]simplify:  iters left: 3 (229 enodes)
1539420265.474 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539420265.474 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539420265.474 * * * * [misc]progress:  [ 28 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539420265.474 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539420265.475 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420265.477 * * [misc]simplify:  iters left: 5 (32 enodes)
1539420265.484 * * [misc]simplify:  iters left: 4 (63 enodes)
1539420265.495 * * [misc]simplify:  iters left: 3 (150 enodes)
1539420265.584 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539420265.584 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539420265.584 * * * * [misc]progress:  [ 29 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539420265.585 * [enter]simplify:  Simplifying (- (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539420265.585 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420265.587 * * [misc]simplify:  iters left: 5 (29 enodes)
1539420265.593 * * [misc]simplify:  iters left: 4 (44 enodes)
1539420265.600 * * [misc]simplify:  iters left: 3 (76 enodes)
1539420265.617 * * [misc]simplify:  iters left: 2 (206 enodes)
1539420265.751 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539420265.751 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539420265.752 * * * * [misc]progress:  [ 30 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539420265.752 * * * * [misc]progress:  [ 31 / 74 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539420265.752 * * * * [misc]progress:  [ 32 / 74 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1539420265.752 * [enter]simplify:  Simplifying (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539420265.752 * * [misc]simplify:  iters left: 6 (20 enodes)
1539420265.756 * * [misc]simplify:  iters left: 5 (42 enodes)
1539420265.766 * * [misc]simplify:  iters left: 4 (131 enodes)
1539420265.812 * * [misc]simplify:  iters left: 3 (470 enodes)
1539420266.327 * [exit]simplify:  Simplified to (* (pow (pow (* (* 2 n) PI) (/ (- k) 2)) 3) (* (/ (* (* 2 n) PI) (* k (sqrt k))) (sqrt (* (* 2 n) PI))))
1539420266.327 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (pow (pow (* (* 2 n) PI) (/ (- k) 2)) 3) (* (/ (* (* 2 n) PI) (* k (sqrt k))) (sqrt (* (* 2 n) PI))))))
1539420266.327 * * * * [misc]progress:  [ 33 / 74 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1539420266.328 * [enter]simplify:  Simplifying (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539420266.328 * * [misc]simplify:  iters left: 6 (18 enodes)
1539420266.331 * * [misc]simplify:  iters left: 5 (41 enodes)
1539420266.341 * * [misc]simplify:  iters left: 4 (112 enodes)
1539420266.371 * * [misc]simplify:  iters left: 3 (360 enodes)
1539420266.718 * [exit]simplify:  Simplified to (* (/ (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) k))
1539420266.718 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) k))))
1539420266.718 * * * * [misc]progress:  [ 34 / 74 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (cbrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))) (cbrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539420266.719 * * * * [misc]progress:  [ 35 / 74 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539420266.719 * * * * [misc]progress:  [ 36 / 74 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539420266.719 * * * * [misc]progress:  [ 37 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (- (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (- (sqrt k))))>
1539420266.719 * * * * [misc]progress:  [ 38 / 74 ] 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)))))>
1539420266.719 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420266.719 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420266.723 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420266.728 * * [misc]simplify:  iters left: 4 (25 enodes)
1539420266.735 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420266.742 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539420266.742 * [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)))))
1539420266.742 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539420266.742 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420266.746 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420266.751 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420266.758 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420266.767 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539420266.767 * [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)))))
1539420266.767 * * * * [misc]progress:  [ 39 / 74 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539420266.767 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539420266.767 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420266.771 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420266.775 * * [misc]simplify:  iters left: 4 (22 enodes)
1539420266.781 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420266.787 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539420266.787 * [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)))))
1539420266.787 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539420266.787 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420266.789 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420266.791 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420266.794 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420266.797 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539420266.797 * [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)))))
1539420266.797 * * * * [misc]progress:  [ 40 / 74 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420266.797 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539420266.797 * * [misc]simplify:  iters left: 6 (9 enodes)
1539420266.799 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420266.801 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420266.804 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420266.806 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539420266.806 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420266.807 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539420266.807 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420266.808 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420266.810 * * [misc]simplify:  iters left: 4 (23 enodes)
1539420266.813 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420266.817 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539420266.817 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539420266.817 * * * * [misc]progress:  [ 41 / 74 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))>
1539420266.817 * * * * [misc]progress:  [ 42 / 74 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (/ 1 (sqrt k))))>
1539420266.817 * * * * [misc]progress:  [ 43 / 74 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420266.817 * * * * [misc]progress:  [ 44 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1539420266.817 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539420266.818 * * [misc]simplify:  iters left: 2 (3 enodes)
1539420266.818 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539420266.818 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1539420266.818 * * * * [misc]progress:  [ 45 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539420266.819 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539420266.819 * * [misc]simplify:  iters left: 2 (3 enodes)
1539420266.820 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539420266.820 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1539420266.820 * * * * [misc]progress:  [ 46 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt k)))>
1539420266.820 * [enter]simplify:  Simplifying (sqrt k)
1539420266.820 * * [misc]simplify:  iters left: 1 (2 enodes)
1539420266.820 * [exit]simplify:  Simplified to (sqrt k)
1539420266.820 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt k)))
1539420266.820 * * * * [misc]progress:  [ 47 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420266.821 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539420266.821 * * [misc]simplify:  iters left: 5 (7 enodes)
1539420266.823 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420266.826 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420266.830 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420266.835 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539420266.835 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420266.835 * * * * [misc]progress:  [ 48 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539420266.835 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539420266.836 * * [misc]simplify:  iters left: 5 (7 enodes)
1539420266.838 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420266.841 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420266.845 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420266.849 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539420266.849 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539420266.849 * * * * [misc]progress:  [ 49 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) 1) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539420266.850 * [enter]simplify:  Simplifying (* (pow (* PI (* n 2)) 1/2) 1)
1539420266.850 * * [misc]simplify:  iters left: 6 (9 enodes)
1539420266.852 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420266.857 * * [misc]simplify:  iters left: 4 (26 enodes)
1539420266.862 * * [misc]simplify:  iters left: 3 (27 enodes)
1539420266.868 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539420266.868 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539420266.868 * * * * [misc]progress:  [ 50 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539420266.868 * [enter]simplify:  Simplifying (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0))
1539420266.868 * * [misc]simplify:  iters left: 6 (10 enodes)
1539420266.872 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420266.876 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420266.884 * * [misc]simplify:  iters left: 3 (29 enodes)
1539420266.891 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539420266.891 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539420266.891 * * * * [misc]progress:  [ 51 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.891 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) 1/2)
1539420266.891 * * [misc]simplify:  iters left: 6 (8 enodes)
1539420266.892 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420266.895 * * [misc]simplify:  iters left: 4 (33 enodes)
1539420266.900 * * [misc]simplify:  iters left: 3 (60 enodes)
1539420266.909 * * [misc]simplify:  iters left: 2 (85 enodes)
1539420266.919 * * [misc]simplify:  iters left: 1 (87 enodes)
1539420266.927 * [exit]simplify:  Simplified to (* (log (* (* PI n) 2)) 1/2)
1539420266.927 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (log (* (* PI n) 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420266.927 * * * * [misc]progress:  [ 52 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.927 * * * * [misc]progress:  [ 53 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (* 1 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.927 * [enter]simplify:  Simplifying (* PI (* n 2))
1539420266.927 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420266.928 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420266.929 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420266.931 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420266.933 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539420266.933 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* 2 n) PI) (* 1 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420266.933 * * * * [misc]progress:  [ 54 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow PI 1/2) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.933 * [enter]simplify:  Simplifying (pow PI 1/2)
1539420266.933 * * [misc]simplify:  iters left: 1 (3 enodes)
1539420266.934 * [exit]simplify:  Simplified to (sqrt PI)
1539420266.934 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (* (sqrt PI) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420266.934 * * * * [misc]progress:  [ 55 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 56 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* PI (* n 2)) 1/2) 1) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 57 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 58 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 59 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (cbrt (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 60 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 61 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 62 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * * * * [misc]progress:  [ 63 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539420266.934 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420266.934 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420266.936 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420266.937 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420266.939 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420266.942 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420266.942 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539420266.942 * * * * [misc]progress:  [ 64 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539420266.942 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420266.942 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420266.944 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420266.947 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420266.950 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420266.954 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420266.954 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539420266.954 * * * * [misc]progress:  [ 65 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539420266.955 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420266.955 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420266.956 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420266.959 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420266.963 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420266.967 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420266.967 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539420266.967 * * * * [misc]progress:  [ 66 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.967 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420266.967 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420266.969 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420266.971 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420266.976 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420266.981 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420266.981 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420266.981 * * * * [misc]progress:  [ 67 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.982 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420266.982 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420266.983 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420266.986 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420266.990 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420266.994 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420266.994 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420266.994 * * * * [misc]progress:  [ 68 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420266.994 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420266.995 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420266.996 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420266.999 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420267.003 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420267.006 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420267.006 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420267.007 * * * * [misc]progress:  [ 69 / 74 ] 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)))))))))))))))>
1539420267.007 * [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))))))))))))))
1539420267.007 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420267.007 * * * * [misc]progress:  [ 70 / 74 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))))>
1539420267.007 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k)))))))
1539420267.007 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420267.007 * * * * [misc]progress:  [ 71 / 74 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))))>
1539420267.008 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539420267.008 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420267.008 * * * * [misc]progress:  [ 72 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420267.008 * [enter]simplify:  Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539420267.008 * * [misc]simplify:  iters left: 6 (10 enodes)
1539420267.012 * * [misc]simplify:  iters left: 5 (24 enodes)
1539420267.020 * * [misc]simplify:  iters left: 4 (43 enodes)
1539420267.034 * * [misc]simplify:  iters left: 3 (84 enodes)
1539420267.061 * * [misc]simplify:  iters left: 2 (136 enodes)
1539420267.094 * * [misc]simplify:  iters left: 1 (169 enodes)
1539420267.127 * [exit]simplify:  Simplified to (sqrt (* (* 2 PI) n))
1539420267.127 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 PI) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420267.127 * * * * [misc]progress:  [ 73 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420267.127 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539420267.128 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420267.133 * * [misc]simplify:  iters left: 5 (27 enodes)
1539420267.140 * * [misc]simplify:  iters left: 4 (39 enodes)
1539420267.148 * * [misc]simplify:  iters left: 3 (71 enodes)
1539420267.161 * * [misc]simplify:  iters left: 2 (149 enodes)
1539420267.193 * * [misc]simplify:  iters left: 1 (361 enodes)
1539420267.829 * [exit]simplify:  Simplified to (sqrt (* PI (* n 2)))
1539420267.829 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420267.829 * * * * [misc]progress:  [ 74 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420267.830 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539420267.830 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420267.835 * * [misc]simplify:  iters left: 5 (24 enodes)
1539420267.843 * * [misc]simplify:  iters left: 4 (40 enodes)
1539420267.860 * * [misc]simplify:  iters left: 3 (87 enodes)
1539420267.895 * * [misc]simplify:  iters left: 2 (232 enodes)
1539420267.994 * [exit]simplify:  Simplified to (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2))
1539420267.994 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420267.994 * * * [misc]progress:  adding candidates to table
1539420268.815 * * [misc]progress:  iteration 3 / 4
1539420268.815 * * * [misc]progress:  picking best candidate
1539420268.864 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420268.864 * * * [misc]progress:  localizing error
1539420268.878 * * * [misc]progress:  generating rewritten candidates
1539420268.878 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
1539420268.888 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
1539420268.890 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1)
1539420268.893 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
1539420268.894 * * * [misc]progress:  generating series expansions
1539420268.894 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
1539420268.894 * [misc]backup-simplify:  Simplify (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k)))
1539420268.894 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0
1539420268.894 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k
1539420268.894 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539420268.894 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420268.894 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.894 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.895 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420268.895 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420268.895 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420268.895 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420268.895 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.895 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.895 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.895 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.895 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.895 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420268.895 * [misc]taylor:  Taking taylor expansion of n in k
1539420268.895 * [misc]backup-simplify:  Simplify n into n
1539420268.895 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.895 * [misc]backup-simplify:  Simplify PI into PI
1539420268.895 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420268.895 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420268.895 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420268.895 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420268.895 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420268.895 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539420268.896 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420268.896 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420268.896 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539420268.896 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539420268.897 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420268.897 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420268.897 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539420268.897 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420268.897 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539420268.897 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539420268.897 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420268.897 * [misc]taylor:  Taking taylor expansion of n in k
1539420268.897 * [misc]backup-simplify:  Simplify n into n
1539420268.897 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.897 * [misc]backup-simplify:  Simplify PI into PI
1539420268.897 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.897 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.897 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.897 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420268.897 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539420268.897 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420268.897 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539420268.897 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539420268.897 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539420268.897 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420268.897 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420268.897 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.898 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420268.898 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420268.898 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420268.898 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420268.898 * [misc]taylor:  Taking taylor expansion of k in n
1539420268.898 * [misc]backup-simplify:  Simplify k into k
1539420268.898 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420268.898 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.898 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420268.898 * [misc]taylor:  Taking taylor expansion of n in n
1539420268.898 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.898 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.898 * [misc]taylor:  Taking taylor expansion of PI in n
1539420268.898 * [misc]backup-simplify:  Simplify PI into PI
1539420268.898 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420268.898 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420268.899 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420268.899 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420268.899 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420268.899 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420268.899 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420268.900 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420268.900 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539420268.900 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539420268.900 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539420268.900 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539420268.901 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420268.901 * [misc]taylor:  Taking taylor expansion of n in n
1539420268.901 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.901 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.901 * [misc]taylor:  Taking taylor expansion of PI in n
1539420268.901 * [misc]backup-simplify:  Simplify PI into PI
1539420268.901 * [misc]taylor:  Taking taylor expansion of k in n
1539420268.901 * [misc]backup-simplify:  Simplify k into k
1539420268.901 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420268.901 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420268.901 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539420268.901 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420268.901 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539420268.901 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539420268.901 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420268.902 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.902 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420268.902 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420268.902 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420268.902 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420268.902 * [misc]taylor:  Taking taylor expansion of k in n
1539420268.902 * [misc]backup-simplify:  Simplify k into k
1539420268.902 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420268.902 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.902 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420268.902 * [misc]taylor:  Taking taylor expansion of n in n
1539420268.902 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.902 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.902 * [misc]taylor:  Taking taylor expansion of PI in n
1539420268.902 * [misc]backup-simplify:  Simplify PI into PI
1539420268.902 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420268.902 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420268.903 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420268.903 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420268.903 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420268.903 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420268.903 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420268.904 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420268.904 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539420268.905 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539420268.905 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539420268.905 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539420268.905 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420268.905 * [misc]taylor:  Taking taylor expansion of n in n
1539420268.905 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.905 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.905 * [misc]taylor:  Taking taylor expansion of PI in n
1539420268.905 * [misc]backup-simplify:  Simplify PI into PI
1539420268.905 * [misc]taylor:  Taking taylor expansion of k in n
1539420268.905 * [misc]backup-simplify:  Simplify k into k
1539420268.905 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420268.905 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420268.905 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539420268.905 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420268.906 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539420268.906 * [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))))
1539420268.907 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1539420268.907 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420268.907 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.907 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420268.907 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420268.908 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420268.909 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420268.910 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539420268.910 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420268.910 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420268.910 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539420268.912 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420268.912 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0
1539420268.913 * [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)))
1539420268.913 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k
1539420268.913 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k
1539420268.913 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420268.914 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420268.914 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.914 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.914 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420268.914 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420268.914 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.914 * [misc]backup-simplify:  Simplify PI into PI
1539420268.914 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420268.914 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420268.914 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420268.914 * [misc]taylor:  Taking taylor expansion of n in k
1539420268.914 * [misc]backup-simplify:  Simplify n into n
1539420268.914 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420268.914 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420268.915 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420268.915 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.915 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.915 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.915 * [misc]backup-simplify:  Simplify PI into PI
1539420268.915 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420268.915 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420268.915 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.916 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.916 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.916 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420268.917 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539420268.917 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539420268.918 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539420268.918 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420268.921 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420268.921 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420268.922 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539420268.922 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420268.922 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420268.922 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.922 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.922 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.923 * [misc]backup-simplify:  Simplify (* PI 1) into PI
1539420268.923 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539420268.924 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539420268.924 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539420268.925 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420268.926 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420268.927 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.928 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420268.928 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539420268.928 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539420268.928 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420268.930 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420268.931 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420268.936 * [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
1539420268.936 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420268.937 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539420268.937 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420268.937 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420268.938 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539420268.940 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420268.942 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420268.943 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0
1539420268.944 * [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))))
1539420268.944 * [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
1539420268.944 * [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
1539420268.944 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420268.944 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420268.944 * [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
1539420268.944 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539420268.944 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420268.944 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.944 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.945 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420268.945 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420268.945 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.945 * [misc]backup-simplify:  Simplify PI into PI
1539420268.945 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420268.945 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420268.945 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of n in k
1539420268.945 * [misc]backup-simplify:  Simplify n into n
1539420268.945 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420268.945 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420268.945 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.945 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.945 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.945 * [misc]backup-simplify:  Simplify PI into PI
1539420268.946 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420268.946 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420268.946 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.946 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.946 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.947 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420268.947 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539420268.947 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539420268.948 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539420268.949 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420268.951 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420268.952 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420268.952 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539420268.953 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420268.953 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420268.953 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539420268.953 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.953 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.953 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.953 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420268.954 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539420268.955 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420268.955 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420268.956 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539420268.957 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420268.958 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420268.959 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))
1539420268.961 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1539420268.962 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420268.966 * [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1539420268.970 * [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)))))))
1539420268.973 * [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)))))))
1539420268.975 * [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)))))))
1539420268.977 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539420268.978 * [misc]backup-simplify:  Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))
1539420268.979 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1539420268.983 * [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1539420268.984 * [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))))))))
1539420268.988 * [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))))))))
1539420268.989 * [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))))))))
1539420268.993 * [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))))))))))))))
1539420268.994 * [misc]backup-simplify:  Simplify (* (sqrt (* (* PI 2) (/ 1 n))) (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n)))
1539420268.994 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0
1539420268.994 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.994 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.994 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420268.994 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420268.994 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420268.994 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420268.994 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420268.994 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.994 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.994 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.994 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420268.995 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420268.995 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420268.995 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420268.995 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.995 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420268.995 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.995 * [misc]backup-simplify:  Simplify PI into PI
1539420268.995 * [misc]taylor:  Taking taylor expansion of n in k
1539420268.995 * [misc]backup-simplify:  Simplify n into n
1539420268.995 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420268.995 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420268.995 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420268.995 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420268.995 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420268.995 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420268.995 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539420268.995 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539420268.995 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539420268.995 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420268.995 * [misc]taylor:  Taking taylor expansion of PI in k
1539420268.995 * [misc]backup-simplify:  Simplify PI into PI
1539420268.995 * [misc]taylor:  Taking taylor expansion of k in k
1539420268.995 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.995 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.995 * [misc]taylor:  Taking taylor expansion of n in k
1539420268.995 * [misc]backup-simplify:  Simplify n into n
1539420268.996 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420268.996 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420268.996 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420268.996 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420268.996 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539420268.996 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539420268.996 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539420268.996 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420268.996 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420268.996 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.996 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420268.997 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420268.997 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420268.997 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420268.997 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of k in n
1539420268.997 * [misc]backup-simplify:  Simplify k into k
1539420268.997 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420268.997 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420268.997 * [misc]backup-simplify:  Simplify 2 into 2
1539420268.997 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420268.997 * [misc]taylor:  Taking taylor expansion of PI in n
1539420268.997 * [misc]backup-simplify:  Simplify PI into PI
1539420268.997 * [misc]taylor:  Taking taylor expansion of n in n
1539420268.997 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.997 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.997 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420268.997 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420268.998 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420268.998 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420268.998 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420268.998 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420268.999 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420268.999 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420268.999 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539420268.999 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539420268.999 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539420268.999 * [misc]taylor:  Taking taylor expansion of PI in n
1539420268.999 * [misc]backup-simplify:  Simplify PI into PI
1539420268.999 * [misc]taylor:  Taking taylor expansion of k in n
1539420268.999 * [misc]backup-simplify:  Simplify k into k
1539420268.999 * [misc]taylor:  Taking taylor expansion of n in n
1539420268.999 * [misc]backup-simplify:  Simplify 0 into 0
1539420268.999 * [misc]backup-simplify:  Simplify 1 into 1
1539420268.999 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539420268.999 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539420268.999 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420268.999 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539420268.999 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539420268.999 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539420268.999 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420268.999 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420268.999 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.000 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.000 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.000 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420269.000 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420269.000 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of k in n
1539420269.000 * [misc]backup-simplify:  Simplify k into k
1539420269.000 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420269.000 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.000 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.000 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.000 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.000 * [misc]backup-simplify:  Simplify PI into PI
1539420269.000 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.000 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.000 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.000 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.000 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.001 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420269.001 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420269.001 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420269.001 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420269.002 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420269.002 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420269.002 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539420269.002 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539420269.002 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539420269.002 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.002 * [misc]backup-simplify:  Simplify PI into PI
1539420269.002 * [misc]taylor:  Taking taylor expansion of k in n
1539420269.002 * [misc]backup-simplify:  Simplify k into k
1539420269.002 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.002 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.002 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.002 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539420269.002 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539420269.002 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.002 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539420269.003 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))
1539420269.003 * [misc]backup-simplify:  Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0
1539420269.003 * [misc]taylor:  Taking taylor expansion of 0 in k
1539420269.004 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.004 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.004 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420269.004 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.005 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420269.006 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420269.007 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420269.007 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420269.007 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.007 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420269.008 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539420269.009 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420269.009 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0
1539420269.010 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))))
1539420269.010 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.010 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.010 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420269.010 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420269.010 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420269.010 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.010 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.010 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.010 * [misc]backup-simplify:  Simplify PI into PI
1539420269.010 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.011 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420269.011 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.011 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.011 * [misc]backup-simplify:  Simplify n into n
1539420269.011 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.011 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.011 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.011 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.011 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.011 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420269.011 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420269.012 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420269.013 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420269.013 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539420269.013 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420269.013 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.013 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.013 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.013 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.013 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420269.013 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.013 * [misc]backup-simplify:  Simplify PI into PI
1539420269.013 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.013 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.013 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.013 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420269.014 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420269.014 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0
1539420269.014 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539420269.015 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.015 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.015 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.015 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539420269.015 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539420269.016 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539420269.016 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420269.017 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.018 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420269.023 * [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
1539420269.023 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.024 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420269.024 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420269.024 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.025 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420269.025 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539420269.028 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420269.029 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420269.030 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539420269.032 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))))
1539420269.032 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.032 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.032 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420269.032 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420269.032 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420269.032 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.032 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.032 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.032 * [misc]backup-simplify:  Simplify PI into PI
1539420269.032 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.033 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420269.033 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.033 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.033 * [misc]backup-simplify:  Simplify n into n
1539420269.033 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.033 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.033 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.033 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.033 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.034 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420269.034 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420269.035 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420269.035 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420269.035 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539420269.035 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420269.035 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.035 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.036 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.036 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.036 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539420269.036 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539420269.036 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.036 * [misc]backup-simplify:  Simplify PI into PI
1539420269.036 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539420269.036 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.036 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.036 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.037 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420269.038 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539420269.039 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))
1539420269.040 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539420269.041 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539420269.042 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539420269.042 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.043 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539420269.043 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.044 * [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)))
1539420269.044 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420269.046 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.047 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.055 * [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
1539420269.055 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.055 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.055 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420269.056 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539420269.056 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.057 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420269.058 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539420269.061 * [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
1539420269.061 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.062 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539420269.064 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))))
1539420269.064 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k
1539420269.064 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k
1539420269.064 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.064 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.064 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k
1539420269.064 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420269.064 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420269.064 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420269.065 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420269.065 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420269.065 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420269.065 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420269.065 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420269.065 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.065 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.065 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.065 * [misc]backup-simplify:  Simplify PI into PI
1539420269.065 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.065 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420269.065 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.065 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.065 * [misc]backup-simplify:  Simplify n into n
1539420269.066 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.066 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.066 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.066 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.066 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.066 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420269.067 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420269.067 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420269.068 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420269.068 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539420269.068 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420269.068 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.068 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.068 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.069 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.069 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539420269.069 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539420269.069 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.069 * [misc]backup-simplify:  Simplify PI into PI
1539420269.069 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539420269.069 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.069 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.069 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.070 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539420269.071 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420269.072 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539420269.074 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1539420269.075 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0
1539420269.075 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.075 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.075 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.076 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539420269.076 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.078 * [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)))
1539420269.078 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420269.080 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.082 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420269.093 * [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
1539420269.093 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.093 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.094 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.094 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420269.094 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0
1539420269.094 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.095 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420269.095 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539420269.099 * [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
1539420269.100 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.100 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0
1539420269.102 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))))
1539420269.102 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.102 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.102 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420269.102 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420269.102 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420269.102 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.102 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.102 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.102 * [misc]backup-simplify:  Simplify PI into PI
1539420269.102 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.103 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420269.103 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.103 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.103 * [misc]backup-simplify:  Simplify n into n
1539420269.103 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.103 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.103 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.103 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.103 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.103 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420269.103 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420269.104 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420269.104 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420269.104 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539420269.104 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420269.104 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.104 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.104 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.105 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.105 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539420269.105 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539420269.105 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.105 * [misc]backup-simplify:  Simplify PI into PI
1539420269.105 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539420269.105 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.105 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.105 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.105 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420269.105 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420269.106 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539420269.106 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420269.107 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))
1539420269.107 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))
1539420269.108 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))
1539420269.109 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))
1539420269.109 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539420269.110 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.111 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420269.112 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0
1539420269.113 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0
1539420269.113 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.113 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.113 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.113 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539420269.114 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.115 * [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)))
1539420269.116 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420269.117 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.119 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420269.132 * [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
1539420269.133 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.133 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.133 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.133 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.134 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420269.134 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0
1539420269.135 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.135 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420269.136 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539420269.146 * [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
1539420269.146 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.148 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0
1539420269.151 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))))
1539420269.151 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.151 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.151 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420269.151 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420269.151 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420269.151 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.151 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.151 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.151 * [misc]backup-simplify:  Simplify PI into PI
1539420269.151 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.152 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420269.152 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.152 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.152 * [misc]backup-simplify:  Simplify n into n
1539420269.152 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.152 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.152 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.152 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.152 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.153 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420269.153 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420269.154 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420269.154 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420269.155 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539420269.155 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420269.155 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.155 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.155 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.155 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.155 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539420269.155 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539420269.155 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.155 * [misc]backup-simplify:  Simplify PI into PI
1539420269.155 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539420269.155 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.155 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.155 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.155 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420269.156 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420269.157 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539420269.158 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539420269.159 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539420269.161 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0
1539420269.161 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.161 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.162 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539420269.163 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.165 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420269.168 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0
1539420269.169 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0
1539420269.169 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.169 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.169 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.169 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539420269.170 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.171 * [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)))
1539420269.171 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420269.173 * [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
1539420269.174 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420269.192 * [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
1539420269.192 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.193 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.193 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.193 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.193 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.193 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420269.194 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0
1539420269.194 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420269.194 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420269.195 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1539420269.206 * [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
1539420269.207 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.209 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0
1539420269.212 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +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 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))))
1539420269.212 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.212 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.212 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539420269.212 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420269.212 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539420269.212 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.212 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.212 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.212 * [misc]backup-simplify:  Simplify PI into PI
1539420269.213 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.213 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420269.213 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.213 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.213 * [misc]backup-simplify:  Simplify n into n
1539420269.213 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.213 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.213 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.213 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.213 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.214 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539420269.214 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539420269.215 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539420269.215 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420269.216 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539420269.216 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420269.216 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420269.216 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.216 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.216 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.216 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539420269.216 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539420269.216 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.216 * [misc]backup-simplify:  Simplify PI into PI
1539420269.216 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539420269.216 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.216 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.216 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.216 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420269.217 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539420269.217 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420269.217 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420269.217 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539420269.217 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539420269.218 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))
1539420269.219 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))
1539420269.220 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))
1539420269.220 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))
1539420269.223 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k)))))))
1539420269.224 * [misc]backup-simplify:  Simplify (* (sqrt (* (* PI 2) (/ 1 (- n)))) (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k)))
1539420269.224 * [misc]approximate:  Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0
1539420269.224 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420269.224 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.224 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.224 * [misc]backup-simplify:  Simplify PI into PI
1539420269.224 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.224 * [misc]backup-simplify:  Simplify n into n
1539420269.224 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420269.224 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420269.224 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539420269.224 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1539420269.224 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0
1539420269.224 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539420269.224 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420269.224 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420269.224 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420269.224 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.224 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.224 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.225 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420269.225 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420269.225 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420269.225 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420269.225 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.225 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420269.225 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.225 * [misc]backup-simplify:  Simplify PI into PI
1539420269.225 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.225 * [misc]backup-simplify:  Simplify n into n
1539420269.225 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420269.225 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420269.225 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420269.225 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420269.225 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420269.225 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539420269.225 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420269.225 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420269.225 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420269.225 * [misc]backup-simplify:  Simplify -1 into -1
1539420269.225 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.225 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.225 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.225 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420269.225 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.226 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420269.226 * [misc]backup-simplify:  Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))
1539420269.226 * [misc]backup-simplify:  Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))
1539420269.226 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n
1539420269.226 * [misc]taylor:  Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n
1539420269.226 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420269.226 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.226 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.226 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.226 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.226 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.226 * [misc]backup-simplify:  Simplify PI into PI
1539420269.226 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.226 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.226 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.226 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.226 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.227 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.227 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.227 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420269.227 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420269.227 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of k in n
1539420269.227 * [misc]backup-simplify:  Simplify k into k
1539420269.227 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420269.227 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.227 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.227 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.227 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.227 * [misc]backup-simplify:  Simplify PI into PI
1539420269.227 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.227 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.227 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.227 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.228 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.228 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420269.228 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420269.228 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420269.229 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420269.229 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420269.229 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420269.229 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420269.229 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420269.229 * [misc]backup-simplify:  Simplify -1 into -1
1539420269.229 * [misc]taylor:  Taking taylor expansion of k in n
1539420269.229 * [misc]backup-simplify:  Simplify k into k
1539420269.229 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420269.229 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420269.229 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420269.229 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420269.230 * [misc]backup-simplify:  Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420269.231 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.232 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420269.233 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420269.233 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420269.233 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420269.234 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420269.234 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420269.235 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420269.236 * [misc]backup-simplify:  Simplify (+ (* 0 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))))))
1539420269.236 * [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))
1539420269.236 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n
1539420269.236 * [misc]taylor:  Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n
1539420269.236 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420269.236 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.236 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.236 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.236 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.236 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.236 * [misc]backup-simplify:  Simplify PI into PI
1539420269.236 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.236 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.236 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.237 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.237 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.237 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.237 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.237 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420269.237 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420269.237 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of k in n
1539420269.237 * [misc]backup-simplify:  Simplify k into k
1539420269.237 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420269.237 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.237 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.237 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.237 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.238 * [misc]backup-simplify:  Simplify PI into PI
1539420269.238 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.238 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.238 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.238 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.238 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.238 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420269.238 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420269.239 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420269.239 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420269.240 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420269.240 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420269.240 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420269.240 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420269.240 * [misc]backup-simplify:  Simplify -1 into -1
1539420269.240 * [misc]taylor:  Taking taylor expansion of k in n
1539420269.240 * [misc]backup-simplify:  Simplify k into k
1539420269.240 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420269.240 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420269.240 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420269.240 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420269.240 * [misc]backup-simplify:  Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420269.241 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.241 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420269.243 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420269.243 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420269.243 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420269.244 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420269.244 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420269.245 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420269.245 * [misc]backup-simplify:  Simplify (+ (* 0 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))))))
1539420269.246 * [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))
1539420269.246 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.246 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.246 * [misc]taylor:  Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.246 * [misc]backup-simplify:  Simplify PI into PI
1539420269.246 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420269.246 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420269.246 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539420269.246 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420269.246 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.246 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.246 * [misc]backup-simplify:  Simplify PI into PI
1539420269.246 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.247 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420269.247 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.247 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.247 * [misc]backup-simplify:  Simplify n into n
1539420269.247 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.247 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.247 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.247 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.247 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.247 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539420269.248 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539420269.248 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420269.249 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420269.249 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420269.249 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420269.249 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420269.249 * [misc]backup-simplify:  Simplify -1 into -1
1539420269.249 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.249 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.249 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.249 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420269.249 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.250 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420269.250 * [misc]backup-simplify:  Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539420269.251 * [misc]backup-simplify:  Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539420269.252 * [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)))))
1539420269.252 * [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)))))
1539420269.254 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.255 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420269.259 * [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
1539420269.260 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420269.260 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539420269.261 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420269.261 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539420269.264 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420269.265 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.265 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420269.267 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539420269.268 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 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))))))
1539420269.270 * [misc]backup-simplify:  Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))))
1539420269.270 * [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
1539420269.270 * [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
1539420269.270 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539420269.270 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420269.270 * [misc]taylor:  Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539420269.270 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539420269.270 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539420269.270 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.270 * [misc]backup-simplify:  Simplify PI into PI
1539420269.271 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539420269.271 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539420269.271 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420269.271 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420269.271 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539420269.271 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539420269.271 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539420269.271 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539420269.271 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420269.271 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.271 * [misc]taylor:  Taking taylor expansion of PI in k
1539420269.271 * [misc]backup-simplify:  Simplify PI into PI
1539420269.271 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.272 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420269.272 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539420269.272 * [misc]taylor:  Taking taylor expansion of n in k
1539420269.272 * [misc]backup-simplify:  Simplify n into n
1539420269.272 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539420269.272 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.272 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.272 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.272 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539420269.272 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539420269.273 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539420269.273 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539420269.274 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420269.274 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420269.274 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420269.274 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420269.274 * [misc]backup-simplify:  Simplify -1 into -1
1539420269.274 * [misc]taylor:  Taking taylor expansion of k in k
1539420269.274 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.274 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.274 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420269.274 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.275 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420269.275 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420269.276 * [misc]backup-simplify:  Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539420269.277 * [misc]backup-simplify:  Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539420269.278 * [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)))))
1539420269.279 * [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))))))
1539420269.279 * [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))))))
1539420269.280 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0
1539420269.281 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539420269.282 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539420269.283 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420269.284 * [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))))))
1539420269.285 * [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))))))
1539420269.288 * [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 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539420269.288 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
1539420269.289 * [misc]backup-simplify:  Simplify (* (* PI 2) n) into (* 2 (* n PI))
1539420269.289 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539420269.289 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420269.289 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.289 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.289 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420269.289 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.289 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.289 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.289 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.289 * [misc]backup-simplify:  Simplify PI into PI
1539420269.289 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420269.289 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.289 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.289 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420269.289 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.289 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.289 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.289 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.289 * [misc]backup-simplify:  Simplify PI into PI
1539420269.290 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420269.290 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420269.290 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.290 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420269.291 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420269.291 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.292 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420269.293 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420269.293 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.295 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.296 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420269.296 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.298 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420269.300 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420269.300 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.303 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420269.305 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420269.305 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.309 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420269.312 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420269.312 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.316 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420269.320 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420269.320 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.320 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539420269.320 * [misc]backup-simplify:  Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n))
1539420269.320 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539420269.320 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420269.321 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.321 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.321 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.321 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.321 * [misc]backup-simplify:  Simplify PI into PI
1539420269.321 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.321 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.321 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.321 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.321 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420269.321 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.321 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.321 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.321 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.321 * [misc]backup-simplify:  Simplify PI into PI
1539420269.321 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.321 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.321 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.321 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.322 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.322 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.323 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.324 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420269.324 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.325 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.326 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420269.326 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.328 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.329 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.329 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.331 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.333 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420269.333 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.335 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.338 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420269.338 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.340 * [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
1539420269.343 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420269.343 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.344 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539420269.344 * [misc]backup-simplify:  Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n))
1539420269.344 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539420269.344 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.344 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.344 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.344 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.344 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.344 * [misc]backup-simplify:  Simplify PI into PI
1539420269.344 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.344 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.344 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.344 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.344 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.344 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.344 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.344 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.344 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.344 * [misc]backup-simplify:  Simplify PI into PI
1539420269.344 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.344 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.344 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.345 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.345 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.345 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.346 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.346 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420269.346 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.347 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.347 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420269.347 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.348 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.349 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.349 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.350 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.351 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420269.351 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.353 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.354 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420269.354 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.355 * [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
1539420269.357 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420269.357 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.358 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539420269.358 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 1)
1539420269.358 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539420269.358 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539420269.358 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420269.358 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.358 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.358 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420269.358 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.358 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.358 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.358 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.358 * [misc]backup-simplify:  Simplify PI into PI
1539420269.358 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420269.358 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.358 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.358 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420269.358 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.358 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.358 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.358 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.358 * [misc]backup-simplify:  Simplify PI into PI
1539420269.358 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420269.358 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420269.358 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.359 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420269.359 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420269.359 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.360 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420269.360 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420269.361 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.362 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.363 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420269.363 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.364 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420269.366 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420269.366 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.367 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420269.369 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420269.369 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.370 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420269.373 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420269.373 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.377 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420269.381 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420269.381 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.381 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539420269.381 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539420269.381 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539420269.381 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420269.381 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.381 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.381 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.381 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.381 * [misc]backup-simplify:  Simplify PI into PI
1539420269.381 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.381 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.381 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.382 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.382 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420269.382 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.382 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.382 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.382 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.382 * [misc]backup-simplify:  Simplify PI into PI
1539420269.382 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.382 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.382 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.382 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.382 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.383 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420269.384 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.384 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420269.384 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.386 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.387 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420269.387 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.388 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.390 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.390 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.392 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.394 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420269.394 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.396 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.398 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420269.399 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.401 * [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
1539420269.404 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420269.404 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.405 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539420269.405 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539420269.405 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539420269.405 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.405 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.405 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.405 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.405 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.405 * [misc]backup-simplify:  Simplify PI into PI
1539420269.405 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.405 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.405 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.405 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.405 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.406 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.406 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.406 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.406 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.406 * [misc]backup-simplify:  Simplify PI into PI
1539420269.406 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.406 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.406 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.406 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.406 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.407 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.408 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.408 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420269.408 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.410 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.411 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420269.411 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.412 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.414 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.414 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.416 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.418 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420269.418 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.420 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.422 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420269.422 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.425 * [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
1539420269.428 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420269.428 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.429 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539420269.429 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
1539420269.429 * [misc]backup-simplify:  Simplify (sqrt (* (* PI 2) n)) into (* (sqrt 2) (sqrt (* n PI)))
1539420269.429 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0
1539420269.429 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1539420269.429 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420269.429 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.429 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.430 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.430 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.430 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1539420269.430 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420269.430 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.430 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.430 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.430 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.430 * [misc]backup-simplify:  Simplify PI into PI
1539420269.430 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420269.431 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420269.431 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.432 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.432 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1539420269.432 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420269.432 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.432 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.432 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.432 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.432 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1539420269.432 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420269.432 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.432 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.432 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.432 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.432 * [misc]backup-simplify:  Simplify PI into PI
1539420269.432 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420269.433 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420269.433 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.434 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.434 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420269.434 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.435 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420269.436 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420269.437 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420269.439 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539420269.440 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420269.443 * [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))))
1539420269.444 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1539420269.446 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420269.448 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
1539420269.448 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.450 * [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))))
1539420269.451 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1539420269.454 * [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)))))))))
1539420269.454 * [misc]backup-simplify:  Simplify (sqrt (* (* PI 2) (/ 1 n))) into (* (sqrt 2) (sqrt (/ PI n)))
1539420269.454 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0
1539420269.454 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n
1539420269.454 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420269.454 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.454 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.454 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.454 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.454 * [misc]taylor:  Taking taylor expansion of (sqrt (/ PI n)) in n
1539420269.454 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.454 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.454 * [misc]backup-simplify:  Simplify PI into PI
1539420269.454 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.454 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.454 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.455 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.455 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.455 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.455 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n
1539420269.455 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420269.455 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420269.455 * [misc]backup-simplify:  Simplify 2 into 2
1539420269.455 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420269.455 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420269.455 * [misc]taylor:  Taking taylor expansion of (sqrt (/ PI n)) in n
1539420269.455 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.455 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.455 * [misc]backup-simplify:  Simplify PI into PI
1539420269.455 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.455 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.455 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.455 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.456 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.456 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.456 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420269.456 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.457 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420269.457 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420269.458 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.459 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539420269.460 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420269.461 * [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))))
1539420269.462 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1539420269.463 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.464 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
1539420269.464 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420269.466 * [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))))
1539420269.467 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1539420269.470 * [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)))))))
1539420269.470 * [misc]backup-simplify:  Simplify (sqrt (* (* PI 2) (/ 1 (- n)))) into (sqrt (* -2 (/ PI n)))
1539420269.470 * [misc]approximate:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0
1539420269.470 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420269.470 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.470 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.470 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.470 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.470 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.470 * [misc]backup-simplify:  Simplify PI into PI
1539420269.470 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.470 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.470 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.470 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.470 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.470 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.471 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.471 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420269.471 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420269.471 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420269.471 * [misc]backup-simplify:  Simplify -2 into -2
1539420269.471 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420269.471 * [misc]taylor:  Taking taylor expansion of PI in n
1539420269.471 * [misc]backup-simplify:  Simplify PI into PI
1539420269.471 * [misc]taylor:  Taking taylor expansion of n in n
1539420269.471 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.471 * [misc]backup-simplify:  Simplify 1 into 1
1539420269.471 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420269.471 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420269.471 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420269.472 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420269.472 * [misc]backup-simplify:  Simplify 0 into 0
1539420269.472 * [misc]backup-simplify:  Simplify (* +nan.0 PI) into (* +nan.0 PI)
1539420269.473 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420269.473 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420269.474 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539420269.474 * [misc]backup-simplify:  Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2))
1539420269.475 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420269.476 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420269.478 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
1539420269.479 * [misc]backup-simplify:  Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3))
1539420269.480 * [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)))))))
1539420269.480 * * * [misc]progress:  simplifying candidates
1539420269.480 * * * * [misc]progress:  [ 1 / 75 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1))>
1539420269.481 * [enter]simplify:  Simplifying (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))
1539420269.481 * * [misc]simplify:  iters left: 6 (15 enodes)
1539420269.485 * * [misc]simplify:  iters left: 5 (27 enodes)
1539420269.493 * * [misc]simplify:  iters left: 4 (35 enodes)
1539420269.500 * * [misc]simplify:  iters left: 3 (37 enodes)
1539420269.504 * * [misc]simplify:  iters left: 2 (39 enodes)
1539420269.508 * * [misc]simplify:  iters left: 1 (40 enodes)
1539420269.512 * [exit]simplify:  Simplified to (* (pow (* (* PI 2) n) (- (/ k 2))) (/ (sqrt (* (* PI 2) n)) (sqrt k)))
1539420269.512 * [misc]simplify:  Simplified (2 1) to (λ (k n) (pow (* (pow (* (* PI 2) n) (- (/ k 2))) (/ (sqrt (* (* PI 2) n)) (sqrt k))) 1))
1539420269.512 * * * * [misc]progress:  [ 2 / 75 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1))>
1539420269.512 * * * * [misc]progress:  [ 3 / 75 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))))))>
1539420269.512 * [enter]simplify:  Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))))
1539420269.512 * * [misc]simplify:  iters left: 6 (18 enodes)
1539420269.515 * * [misc]simplify:  iters left: 5 (38 enodes)
1539420269.521 * * [misc]simplify:  iters left: 4 (73 enodes)
1539420269.540 * * [misc]simplify:  iters left: 3 (172 enodes)
1539420269.620 * * [misc]simplify:  iters left: 2 (470 enodes)
1539420269.863 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2))))
1539420269.864 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2))))))
1539420269.864 * * * * [misc]progress:  [ 4 / 75 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))))))>
1539420269.864 * [enter]simplify:  Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))))
1539420269.864 * * [misc]simplify:  iters left: 6 (18 enodes)
1539420269.870 * * [misc]simplify:  iters left: 5 (38 enodes)
1539420269.881 * * [misc]simplify:  iters left: 4 (73 enodes)
1539420269.908 * * [misc]simplify:  iters left: 3 (172 enodes)
1539420269.969 * * [misc]simplify:  iters left: 2 (470 enodes)
1539420270.244 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2))))
1539420270.244 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2))))))
1539420270.244 * * * * [misc]progress:  [ 5 / 75 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (sqrt (* (* PI 2) n))) (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt k))))))>
1539420270.245 * [enter]simplify:  Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt k))))
1539420270.245 * * [misc]simplify:  iters left: 6 (18 enodes)
1539420270.247 * * [misc]simplify:  iters left: 5 (34 enodes)
1539420270.254 * * [misc]simplify:  iters left: 4 (63 enodes)
1539420270.272 * * [misc]simplify:  iters left: 3 (160 enodes)
1539420270.362 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI 2) n))) (+ (* (log (* PI 2)) (/ k 2)) (+ (* (log n) (/ k 2)) (log (sqrt k)))))
1539420270.362 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (+ (* (log (* PI 2)) (/ k 2)) (+ (* (log n) (/ k 2)) (log (sqrt k)))))))
1539420270.362 * * * * [misc]progress:  [ 6 / 75 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (sqrt (* (* PI 2) n))) (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))>
1539420270.363 * [enter]simplify:  Simplifying (+ (log (sqrt (* (* PI 2) n))) (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420270.363 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420270.368 * * [misc]simplify:  iters left: 5 (30 enodes)
1539420270.376 * * [misc]simplify:  iters left: 4 (42 enodes)
1539420270.388 * * [misc]simplify:  iters left: 3 (68 enodes)
1539420270.409 * * [misc]simplify:  iters left: 2 (175 enodes)
1539420270.517 * [exit]simplify:  Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2))))
1539420270.517 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (log (* PI 2)) (/ k 2))))))
1539420270.517 * * * * [misc]progress:  [ 7 / 75 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))>
1539420270.517 * * * * [misc]progress:  [ 8 / 75 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))>
1539420270.517 * * * * [misc]progress:  [ 9 / 75 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
1539420270.517 * [enter]simplify:  Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
1539420270.517 * * [misc]simplify:  iters left: 6 (21 enodes)
1539420270.522 * * [misc]simplify:  iters left: 5 (46 enodes)
1539420270.531 * * [misc]simplify:  iters left: 4 (154 enodes)
1539420270.669 * [exit]simplify:  Simplified to (* (/ (sqrt (* (* n PI) 2)) (/ k (* (* n PI) 2))) (* (* (pow (* (* n PI) 2) (- (/ k 2))) (pow (* (* n PI) 2) (- (/ k 2)))) (/ (pow (* (* n PI) 2) (- (/ k 2))) (sqrt k))))
1539420270.669 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (sqrt (* (* n PI) 2)) (/ k (* (* n PI) 2))) (* (* (pow (* (* n PI) 2) (- (/ k 2))) (pow (* (* n PI) 2) (- (/ k 2)))) (/ (pow (* (* n PI) 2) (- (/ k 2))) (sqrt k))))))
1539420270.669 * * * * [misc]progress:  [ 10 / 75 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))>
1539420270.670 * [enter]simplify:  Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420270.670 * * [misc]simplify:  iters left: 6 (19 enodes)
1539420270.677 * * [misc]simplify:  iters left: 5 (42 enodes)
1539420270.692 * * [misc]simplify:  iters left: 4 (132 enodes)
1539420270.779 * [exit]simplify:  Simplified to (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420270.779 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))
1539420270.780 * * * * [misc]progress:  [ 11 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (cbrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) (cbrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))>
1539420270.780 * * * * [misc]progress:  [ 12 / 75 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))>
1539420270.780 * * * * [misc]progress:  [ 13 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))))>
1539420270.780 * * * * [misc]progress:  [ 14 / 75 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>
1539420270.780 * * * * [misc]progress:  [ 15 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>
1539420270.780 * [enter]simplify:  Simplifying (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))
1539420270.780 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420270.782 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420270.784 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420270.787 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420270.790 * [exit]simplify:  Simplified to (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))
1539420270.790 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))))
1539420270.790 * * * * [misc]progress:  [ 16 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>
1539420270.791 * [enter]simplify:  Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))
1539420270.791 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420270.792 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420270.795 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420270.797 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420270.800 * [exit]simplify:  Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))
1539420270.800 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))))
1539420270.800 * * * * [misc]progress:  [ 17 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))>
1539420270.801 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))
1539420270.801 * * [misc]simplify:  iters left: 6 (10 enodes)
1539420270.802 * * [misc]simplify:  iters left: 5 (13 enodes)
1539420270.804 * [exit]simplify:  Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))
1539420270.804 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))
1539420270.804 * * * * [misc]progress:  [ 18 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))>
1539420270.804 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))
1539420270.804 * * [misc]simplify:  iters left: 6 (10 enodes)
1539420270.805 * * [misc]simplify:  iters left: 5 (13 enodes)
1539420270.807 * [exit]simplify:  Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))
1539420270.807 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))
1539420270.807 * * * * [misc]progress:  [ 19 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))>
1539420270.807 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k))
1539420270.807 * * [misc]simplify:  iters left: 6 (9 enodes)
1539420270.808 * * [misc]simplify:  iters left: 5 (12 enodes)
1539420270.810 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k))
1539420270.810 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))
1539420270.810 * * * * [misc]progress:  [ 20 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))))>
1539420270.810 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))
1539420270.810 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420270.812 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420270.814 * * [misc]simplify:  iters left: 4 (25 enodes)
1539420270.817 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420270.820 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))
1539420270.820 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))
1539420270.820 * * * * [misc]progress:  [ 21 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))))>
1539420270.820 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))
1539420270.821 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420270.822 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420270.825 * * [misc]simplify:  iters left: 4 (25 enodes)
1539420270.828 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420270.831 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))
1539420270.831 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))
1539420270.831 * * * * [misc]progress:  [ 22 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))>
1539420270.831 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))
1539420270.831 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420270.834 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420270.839 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420270.847 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420270.853 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))
1539420270.853 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))
1539420270.853 * * * * [misc]progress:  [ 23 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))))>
1539420270.853 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))
1539420270.853 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420270.857 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420270.862 * * [misc]simplify:  iters left: 4 (25 enodes)
1539420270.869 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420270.875 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))
1539420270.875 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))
1539420270.875 * * * * [misc]progress:  [ 24 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))))>
1539420270.875 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))
1539420270.875 * * [misc]simplify:  iters left: 6 (13 enodes)
1539420270.879 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420270.884 * * [misc]simplify:  iters left: 4 (25 enodes)
1539420270.891 * * [misc]simplify:  iters left: 3 (26 enodes)
1539420270.894 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))
1539420270.894 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))
1539420270.894 * * * * [misc]progress:  [ 25 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))>
1539420270.894 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))
1539420270.895 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420270.896 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420270.898 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420270.901 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420270.904 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))
1539420270.904 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))
1539420270.904 * * * * [misc]progress:  [ 26 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1539420270.904 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539420270.904 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420270.906 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420270.908 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420270.911 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420270.914 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539420270.914 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))
1539420270.914 * * * * [misc]progress:  [ 27 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539420270.914 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539420270.914 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420270.916 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420270.918 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420270.923 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420270.929 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539420270.929 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1539420270.929 * * * * [misc]progress:  [ 28 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420270.929 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539420270.930 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420270.933 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420270.938 * * [misc]simplify:  iters left: 4 (23 enodes)
1539420270.944 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420270.949 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539420270.949 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539420270.949 * * * * [misc]progress:  [ 29 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420270.950 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539420270.950 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420270.953 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420270.958 * * [misc]simplify:  iters left: 4 (23 enodes)
1539420270.964 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420270.970 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539420270.970 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539420270.970 * * * * [misc]progress:  [ 30 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (/ 1 (sqrt k))))>
1539420270.970 * [enter]simplify:  Simplifying (/ 1 (sqrt k))
1539420270.970 * * [misc]simplify:  iters left: 3 (4 enodes)
1539420270.971 * * [misc]simplify:  iters left: 2 (6 enodes)
1539420270.973 * [exit]simplify:  Simplified to (/ 1 (sqrt k))
1539420270.973 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (/ 1 (sqrt k))))
1539420270.973 * * * * [misc]progress:  [ 31 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>
1539420270.973 * [enter]simplify:  Simplifying (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))
1539420270.973 * * [misc]simplify:  iters left: 6 (8 enodes)
1539420270.975 * * [misc]simplify:  iters left: 5 (12 enodes)
1539420270.979 * * [misc]simplify:  iters left: 4 (18 enodes)
1539420270.984 * * [misc]simplify:  iters left: 3 (20 enodes)
1539420270.989 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2)))))
1539420270.989 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))
1539420270.989 * * * * [misc]progress:  [ 32 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>
1539420270.989 * [enter]simplify:  Simplifying (sqrt (* PI 2))
1539420270.989 * * [misc]simplify:  iters left: 3 (4 enodes)
1539420270.990 * * [misc]simplify:  iters left: 2 (5 enodes)
1539420270.992 * [exit]simplify:  Simplified to (sqrt (* PI 2))
1539420270.992 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))
1539420270.992 * * * * [misc]progress:  [ 33 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>
1539420270.992 * [enter]simplify:  Simplifying (sqrt (sqrt (* (* PI 2) n)))
1539420270.992 * * [misc]simplify:  iters left: 6 (7 enodes)
1539420270.994 * * [misc]simplify:  iters left: 5 (11 enodes)
1539420270.997 * * [misc]simplify:  iters left: 4 (17 enodes)
1539420271.001 * * [misc]simplify:  iters left: 3 (19 enodes)
1539420271.006 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* PI 2) n)))
1539420271.006 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))
1539420271.006 * * * * [misc]progress:  [ 34 / 75 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>
1539420271.006 * * * * [misc]progress:  [ 35 / 75 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539420271.006 * [enter]simplify:  Simplifying (sqrt k)
1539420271.006 * * [misc]simplify:  iters left: 1 (2 enodes)
1539420271.007 * [exit]simplify:  Simplified to (sqrt k)
1539420271.007 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539420271.007 * * * * [misc]progress:  [ 36 / 75 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (sqrt (* (* PI 2) n))))>
1539420271.007 * * * * [misc]progress:  [ 37 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* (* PI 2) n) 1)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 38 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (exp (log (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 39 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (log (exp (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 40 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 41 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (cbrt (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 42 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 43 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* 1 (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 44 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* PI (* 2 n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 45 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* n (* PI 2))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 46 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (pow (* PI (* n 2)) 1) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 47 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (exp (log (* PI (* n 2)))) (- (/ k 2))) (sqrt k))))>
1539420271.007 * * * * [misc]progress:  [ 48 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (log (exp (* PI (* n 2)))) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 49 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 50 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 51 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 52 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* 1 (* PI (* n 2))) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 53 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 54 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 55 / 75 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* PI 2) n) 1/2) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 56 / 75 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt (* (* PI 2) n)) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 57 / 75 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 58 / 75 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 59 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 60 / 75 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.008 * * * * [misc]progress:  [ 61 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* PI 2)) (sqrt n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.008 * [enter]simplify:  Simplifying (sqrt (* PI 2))
1539420271.009 * * [misc]simplify:  iters left: 3 (4 enodes)
1539420271.010 * * [misc]simplify:  iters left: 2 (5 enodes)
1539420271.011 * [exit]simplify:  Simplified to (sqrt (* PI 2))
1539420271.011 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (sqrt (* PI 2)) (sqrt n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420271.011 * * * * [misc]progress:  [ 62 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (* (* PI 2) n))) (sqrt (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.011 * * * * [misc]progress:  [ 63 / 75 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.011 * * * * [misc]progress:  [ 64 / 75 ] 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)))))))))))))))>
1539420271.011 * [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))))))))))))))
1539420271.012 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420271.012 * * * * [misc]progress:  [ 65 / 75 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))))>
1539420271.012 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k)))))))
1539420271.012 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420271.012 * * * * [misc]progress:  [ 66 / 75 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))))>
1539420271.012 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539420271.012 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420271.012 * * * * [misc]progress:  [ 67 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* 2 (* n PI))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.012 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420271.013 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420271.014 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420271.017 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420271.020 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420271.024 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420271.024 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420271.024 * * * * [misc]progress:  [ 68 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* 2 (* n PI))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.024 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420271.025 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420271.026 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420271.029 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420271.032 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420271.036 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420271.036 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420271.037 * * * * [misc]progress:  [ 69 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* 2 (* n PI))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.037 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420271.037 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420271.038 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420271.041 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420271.045 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420271.049 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420271.049 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420271.049 * * * * [misc]progress:  [ 70 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* 2 (* n PI)) (- (/ k 2))) (sqrt k))))>
1539420271.049 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420271.049 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420271.051 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420271.053 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420271.057 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420271.062 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420271.062 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k))))
1539420271.062 * * * * [misc]progress:  [ 71 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* 2 (* n PI)) (- (/ k 2))) (sqrt k))))>
1539420271.062 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420271.062 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420271.064 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420271.066 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420271.070 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420271.074 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420271.074 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k))))
1539420271.074 * * * * [misc]progress:  [ 72 / 75 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* 2 (* n PI)) (- (/ k 2))) (sqrt k))))>
1539420271.074 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420271.074 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420271.076 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420271.077 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420271.079 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420271.080 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420271.080 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k))))
1539420271.081 * * * * [misc]progress:  [ 73 / 75 ] 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))))))))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.081 * [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)))))))))
1539420271.081 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420271.081 * * * * [misc]progress:  [ 74 / 75 ] 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))))))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.081 * [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)))))))
1539420271.081 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420271.081 * * * * [misc]progress:  [ 75 / 75 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539420271.081 * [enter]simplify:  Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n)))))))
1539420271.081 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539420271.081 * * * [misc]progress:  adding candidates to table
1539420272.086 * * [misc]progress:  iteration 4 / 4
1539420272.086 * * * [misc]progress:  picking best candidate
1539420272.113 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420272.113 * * * [misc]progress:  localizing error
1539420272.119 * * * [misc]progress:  generating rewritten candidates
1539420272.119 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 2 1)
1539420272.121 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1 1)
1539420272.126 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
1539420272.149 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1539420272.177 * * * [misc]progress:  generating series expansions
1539420272.177 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 2 1)
1539420272.177 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539420272.177 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539420272.177 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.177 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.177 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.177 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.177 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.177 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.177 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.177 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.177 * [misc]backup-simplify:  Simplify PI into PI
1539420272.177 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.177 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.177 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.177 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.177 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.177 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.177 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.177 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.177 * [misc]backup-simplify:  Simplify PI into PI
1539420272.178 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.178 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.178 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.178 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.178 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.179 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.179 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420272.180 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420272.180 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.181 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.182 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420272.182 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.183 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420272.184 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420272.184 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.186 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420272.187 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420272.187 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.189 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420272.191 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420272.191 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.193 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420272.196 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420272.196 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.196 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539420272.196 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539420272.196 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539420272.196 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.196 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.196 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.196 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.196 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.197 * [misc]backup-simplify:  Simplify PI into PI
1539420272.197 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.197 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.197 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.197 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.197 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.197 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.197 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.197 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.197 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.197 * [misc]backup-simplify:  Simplify PI into PI
1539420272.197 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.197 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.197 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.197 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.198 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.198 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.199 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.200 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420272.200 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.201 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.202 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.202 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.204 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.205 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.205 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.207 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.209 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420272.209 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.213 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.216 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420272.216 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.218 * [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
1539420272.221 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420272.221 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.222 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539420272.222 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539420272.222 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539420272.222 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.222 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.222 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.222 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.222 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.222 * [misc]backup-simplify:  Simplify PI into PI
1539420272.222 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.222 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.222 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.223 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.223 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.223 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.223 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.223 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.223 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.223 * [misc]backup-simplify:  Simplify PI into PI
1539420272.223 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.223 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.223 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.223 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.223 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.224 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.225 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.225 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.225 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.227 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.228 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.228 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.229 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.231 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.231 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.233 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.235 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420272.235 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.238 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.240 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420272.240 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.243 * [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
1539420272.246 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420272.246 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.246 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539420272.246 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2 1 1)
1539420272.247 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539420272.247 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539420272.247 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.247 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.247 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.247 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.247 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.247 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.247 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.247 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.247 * [misc]backup-simplify:  Simplify PI into PI
1539420272.247 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.247 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.247 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.247 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.247 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.247 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.247 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.247 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.247 * [misc]backup-simplify:  Simplify PI into PI
1539420272.247 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.248 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.248 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.248 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.249 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.249 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.250 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420272.251 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420272.251 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.253 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.254 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539420272.254 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.257 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420272.259 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539420272.259 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.261 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420272.264 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539420272.264 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.267 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420272.271 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539420272.271 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.275 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539420272.279 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539420272.279 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.279 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539420272.279 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539420272.279 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539420272.279 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.279 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.279 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.279 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.279 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.279 * [misc]backup-simplify:  Simplify PI into PI
1539420272.280 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.280 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.280 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.280 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.280 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.280 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.280 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.280 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.280 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.280 * [misc]backup-simplify:  Simplify PI into PI
1539420272.280 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.280 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.280 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.280 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.281 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.281 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.282 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.283 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420272.283 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.284 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.286 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.286 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.287 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.289 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.289 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.291 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.293 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420272.293 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.295 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.297 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420272.297 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.300 * [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
1539420272.303 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420272.303 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.304 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539420272.304 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539420272.304 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539420272.304 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.304 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.304 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.304 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.304 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.304 * [misc]backup-simplify:  Simplify PI into PI
1539420272.304 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.304 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.304 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.304 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.304 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.304 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.304 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.305 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.305 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.305 * [misc]backup-simplify:  Simplify PI into PI
1539420272.305 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.305 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.305 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.305 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.305 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.305 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.307 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.307 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.307 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.308 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.309 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.310 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.311 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.313 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.313 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.314 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.316 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420272.317 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.319 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.321 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539420272.321 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.324 * [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
1539420272.327 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539420272.327 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.327 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539420272.327 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
1539420272.328 * [misc]backup-simplify:  Simplify (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) into (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI))))
1539420272.328 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in (k n) around 0
1539420272.328 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in n
1539420272.328 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in n
1539420272.328 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539420272.328 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.328 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.328 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.328 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.328 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.328 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.329 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.329 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.329 * [misc]backup-simplify:  Simplify k into k
1539420272.329 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.329 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.329 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.329 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.329 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.329 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.329 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.329 * [misc]backup-simplify:  Simplify PI into PI
1539420272.329 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.330 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.330 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.331 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.331 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.331 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420272.332 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420272.332 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.333 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539420272.333 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539420272.334 * [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))))
1539420272.335 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))
1539420272.335 * [misc]taylor:  Taking taylor expansion of (sqrt (/ k (* n PI))) in n
1539420272.335 * [misc]taylor:  Taking taylor expansion of (/ k (* n PI)) in n
1539420272.335 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.335 * [misc]backup-simplify:  Simplify k into k
1539420272.335 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.335 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.335 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.335 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.335 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.335 * [misc]backup-simplify:  Simplify PI into PI
1539420272.336 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.336 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.336 * [misc]backup-simplify:  Simplify (/ k PI) into (/ k PI)
1539420272.337 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.337 * [misc]backup-simplify:  Simplify (/ (/ k PI) (* 2 (sqrt 0))) into (* +nan.0 (/ k PI))
1539420272.337 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.337 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.337 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.337 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.337 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539420272.337 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420272.338 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.338 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.338 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.338 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.338 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.338 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420272.338 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420272.338 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.338 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.338 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.338 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.338 * [misc]backup-simplify:  Simplify n into n
1539420272.338 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.338 * [misc]backup-simplify:  Simplify PI into PI
1539420272.338 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.338 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420272.338 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420272.338 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420272.338 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.338 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539420272.339 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.339 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420272.339 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539420272.340 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539420272.340 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420272.340 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.341 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539420272.341 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420272.341 * [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
1539420272.341 * [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
1539420272.341 * [misc]taylor:  Taking taylor expansion of (sqrt (/ k (* n PI))) in k
1539420272.341 * [misc]taylor:  Taking taylor expansion of (/ k (* n PI)) in k
1539420272.341 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.341 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.341 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.342 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.342 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.342 * [misc]backup-simplify:  Simplify n into n
1539420272.342 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.342 * [misc]backup-simplify:  Simplify PI into PI
1539420272.342 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.342 * [misc]backup-simplify:  Simplify (/ 1 (* n PI)) into (/ 1 (* n PI))
1539420272.342 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.342 * [misc]backup-simplify:  Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI))
1539420272.342 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in k
1539420272.342 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in k
1539420272.342 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539420272.342 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.342 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.342 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.342 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.343 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.343 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.343 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.343 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.343 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.343 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.343 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.343 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.343 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.343 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.343 * [misc]backup-simplify:  Simplify n into n
1539420272.343 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.343 * [misc]backup-simplify:  Simplify PI into PI
1539420272.343 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.343 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420272.343 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420272.344 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420272.344 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.344 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539420272.344 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.344 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420272.345 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539420272.345 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539420272.346 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420272.346 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.346 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539420272.346 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420272.346 * [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
1539420272.347 * [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
1539420272.347 * [misc]taylor:  Taking taylor expansion of (sqrt (/ k (* n PI))) in k
1539420272.347 * [misc]taylor:  Taking taylor expansion of (/ k (* n PI)) in k
1539420272.347 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.347 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.347 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.347 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.347 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.347 * [misc]backup-simplify:  Simplify n into n
1539420272.347 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.347 * [misc]backup-simplify:  Simplify PI into PI
1539420272.347 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.347 * [misc]backup-simplify:  Simplify (/ 1 (* n PI)) into (/ 1 (* n PI))
1539420272.347 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.348 * [misc]backup-simplify:  Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI))
1539420272.348 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) 0) into 0
1539420272.348 * [misc]taylor:  Taking taylor expansion of 0 in n
1539420272.348 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.348 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (log (* 2 (* n PI))))
1539420272.349 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 (* n PI))))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI))))))
1539420272.349 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2)))
1539420272.350 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* n PI))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))))
1539420272.350 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) in n
1539420272.350 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))) in n
1539420272.350 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.350 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.350 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (* n PI))) in n
1539420272.350 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* n PI)) in n
1539420272.350 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.350 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.350 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.350 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.351 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.351 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.351 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.351 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.351 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.351 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.351 * [misc]backup-simplify:  Simplify PI into PI
1539420272.351 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.351 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.352 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.353 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539420272.353 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI))
1539420272.354 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI))
1539420272.355 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))
1539420272.356 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))
1539420272.356 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.357 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420272.357 * [misc]backup-simplify:  Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into 0
1539420272.357 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow n 2) (pow PI 2)))
1539420272.358 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.358 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.359 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1539420272.360 * [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
1539420272.360 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.361 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539420272.361 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.361 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1539420272.362 * [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))
1539420272.364 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.365 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))
1539420272.367 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2)))
1539420272.368 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))))
1539420272.368 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) in n
1539420272.368 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))) in n
1539420272.368 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n
1539420272.368 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.368 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.368 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n
1539420272.368 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n
1539420272.368 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.368 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.368 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.369 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.369 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.369 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1539420272.369 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1539420272.369 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.369 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.369 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.369 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1539420272.369 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.369 * [misc]backup-simplify:  Simplify PI into PI
1539420272.369 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.369 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.370 * [misc]backup-simplify:  Simplify (* 1 (pow PI 2)) into (pow PI 2)
1539420272.371 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420272.372 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2)))
1539420272.372 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n
1539420272.372 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n
1539420272.372 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.372 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.372 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n
1539420272.372 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.372 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.372 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.372 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.372 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.372 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.372 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.372 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.372 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.372 * [misc]backup-simplify:  Simplify PI into PI
1539420272.372 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.372 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.373 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.374 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.374 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.374 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* n PI)) in n
1539420272.374 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.374 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.374 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.374 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.375 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.375 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.375 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.375 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.375 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.375 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.375 * [misc]backup-simplify:  Simplify PI into PI
1539420272.375 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.376 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.376 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.376 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.377 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539420272.378 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.379 * [misc]backup-simplify:  Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))
1539420272.379 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420272.380 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.381 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0
1539420272.381 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539420272.385 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0
1539420272.387 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 2))))) into 0
1539420272.388 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) into (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)))
1539420272.389 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))
1539420272.391 * [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))
1539420272.393 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))
1539420272.395 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))
1539420272.397 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420272.398 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.399 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539420272.402 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0
1539420272.403 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0
1539420272.403 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.403 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.403 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.404 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.404 * [misc]backup-simplify:  Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))) (* 0 (/ 0 (* n PI))))) into 0
1539420272.405 * [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)))
1539420272.405 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.406 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.407 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1539420272.409 * [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
1539420272.409 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.410 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.410 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539420272.410 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.411 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1539420272.412 * [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))
1539420272.412 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.413 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3))))
1539420272.416 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (sqrt 2))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2)))
1539420272.418 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 0)))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))
1539420272.418 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.418 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.418 * [misc]taylor:  Taking taylor expansion of (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.418 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.418 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.418 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.418 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.418 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.419 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.419 * [misc]backup-simplify:  Simplify PI into PI
1539420272.419 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.419 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.420 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.420 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.421 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.421 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.421 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* n PI)) in n
1539420272.421 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.422 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.422 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.422 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.422 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.422 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.422 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.422 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.422 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.422 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.422 * [misc]backup-simplify:  Simplify PI into PI
1539420272.423 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.423 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.424 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1539420272.425 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.425 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.425 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.426 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539420272.427 * [misc]backup-simplify:  Simplify (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) into (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))
1539420272.427 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))) in n
1539420272.427 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n
1539420272.427 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) in n
1539420272.427 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.427 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.427 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n
1539420272.427 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n
1539420272.428 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.428 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.428 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.428 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.428 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.428 * [misc]taylor:  Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n
1539420272.428 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1539420272.428 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.428 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.428 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.428 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1539420272.428 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.428 * [misc]backup-simplify:  Simplify PI into PI
1539420272.428 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.428 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.429 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.429 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539420272.430 * [misc]backup-simplify:  Simplify (* 1 (pow PI 3)) into (pow PI 3)
1539420272.430 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539420272.431 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (pow PI 3))) into (/ 1 (* (sqrt 2) (pow PI 3)))
1539420272.431 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n
1539420272.431 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n
1539420272.431 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.431 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.432 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n
1539420272.432 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.432 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.432 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.432 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.432 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.432 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.432 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.432 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.432 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.432 * [misc]backup-simplify:  Simplify PI into PI
1539420272.432 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.432 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.433 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.433 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.434 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.434 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n
1539420272.434 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.434 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.434 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.434 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.434 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.434 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1539420272.435 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1539420272.435 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.435 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.435 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.435 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1539420272.435 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.435 * [misc]backup-simplify:  Simplify PI into PI
1539420272.435 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.436 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.436 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.436 * [misc]backup-simplify:  Simplify (* 1 (pow PI 2)) into (pow PI 2)
1539420272.437 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420272.438 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.439 * [misc]backup-simplify:  Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2)))
1539420272.440 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) into (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)))
1539420272.441 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.442 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420272.444 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1539420272.444 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.444 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.445 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0
1539420272.445 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539420272.446 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539420272.447 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
1539420272.448 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0
1539420272.449 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.451 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
1539420272.452 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0
1539420272.455 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0
1539420272.460 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))) (* 0 (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0
1539420272.462 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 3)))))) into 0
1539420272.463 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420272.464 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420272.465 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.466 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420272.466 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.466 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0
1539420272.467 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539420272.469 * [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0
1539420272.470 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))))) into 0
1539420272.470 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.470 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420272.470 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.471 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))
1539420272.473 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))
1539420272.475 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))
1539420272.481 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI)))))))))))))))
1539420272.481 * [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 k)) (* (pow (* PI (* (/ 1 n) 2)) 1/2) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))))) into (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k))))
1539420272.481 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in (k n) around 0
1539420272.481 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.481 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.481 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.481 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.481 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420272.481 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.481 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.482 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420272.482 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.482 * [misc]backup-simplify:  Simplify k into k
1539420272.482 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420272.482 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.482 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.482 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.482 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.482 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.482 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.482 * [misc]backup-simplify:  Simplify PI into PI
1539420272.482 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.482 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.482 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.482 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.482 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.482 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.482 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420272.483 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420272.483 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.483 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.484 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.484 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))
1539420272.485 * [misc]backup-simplify:  Simplify (/ 1 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)))
1539420272.485 * [misc]taylor:  Taking taylor expansion of (sqrt (/ n (* PI k))) in n
1539420272.485 * [misc]taylor:  Taking taylor expansion of (/ n (* PI k)) in n
1539420272.485 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.485 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.485 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.485 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539420272.485 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.485 * [misc]backup-simplify:  Simplify PI into PI
1539420272.485 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.485 * [misc]backup-simplify:  Simplify k into k
1539420272.485 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539420272.485 * [misc]backup-simplify:  Simplify (/ 1 (* PI k)) into (/ 1 (* PI k))
1539420272.485 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.485 * [misc]backup-simplify:  Simplify (/ (/ 1 (* PI k)) (* 2 (sqrt 0))) into (/ +nan.0 (* PI k))
1539420272.485 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in k
1539420272.485 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in k
1539420272.485 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539420272.485 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.485 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.485 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.485 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.485 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.486 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.486 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.486 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.486 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.486 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.486 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.486 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.486 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.486 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.486 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.486 * [misc]backup-simplify:  Simplify PI into PI
1539420272.486 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.486 * [misc]backup-simplify:  Simplify n into n
1539420272.486 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.486 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420272.486 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420272.486 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.486 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.486 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420272.486 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539420272.487 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))
1539420272.487 * [misc]backup-simplify:  Simplify (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))
1539420272.487 * [misc]taylor:  Taking taylor expansion of (sqrt (/ n (* PI k))) in k
1539420272.487 * [misc]taylor:  Taking taylor expansion of (/ n (* PI k)) in k
1539420272.487 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.487 * [misc]backup-simplify:  Simplify n into n
1539420272.487 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420272.487 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.487 * [misc]backup-simplify:  Simplify PI into PI
1539420272.487 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.487 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.487 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.487 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420272.488 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420272.488 * [misc]backup-simplify:  Simplify (/ n PI) into (/ n PI)
1539420272.488 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.488 * [misc]backup-simplify:  Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI))
1539420272.488 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in k
1539420272.488 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in k
1539420272.488 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539420272.488 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.488 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.488 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.488 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.488 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.488 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539420272.488 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420272.488 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420272.488 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539420272.489 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.489 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.489 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.489 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.489 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.489 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.489 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.489 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.489 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420272.489 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420272.489 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.489 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.489 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.489 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.489 * [misc]backup-simplify:  Simplify PI into PI
1539420272.489 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.489 * [misc]backup-simplify:  Simplify n into n
1539420272.489 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.489 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420272.489 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420272.489 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.489 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.489 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420272.489 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539420272.490 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))
1539420272.490 * [misc]backup-simplify:  Simplify (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))
1539420272.490 * [misc]taylor:  Taking taylor expansion of (sqrt (/ n (* PI k))) in k
1539420272.490 * [misc]taylor:  Taking taylor expansion of (/ n (* PI k)) in k
1539420272.490 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.490 * [misc]backup-simplify:  Simplify n into n
1539420272.490 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420272.490 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.490 * [misc]backup-simplify:  Simplify PI into PI
1539420272.490 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.490 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.490 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.490 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420272.491 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420272.491 * [misc]backup-simplify:  Simplify (/ n PI) into (/ n PI)
1539420272.491 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.491 * [misc]backup-simplify:  Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI))
1539420272.491 * [misc]backup-simplify:  Simplify (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) 0) into 0
1539420272.491 * [misc]taylor:  Taking taylor expansion of 0 in n
1539420272.491 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.491 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.491 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))) into 0
1539420272.492 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0
1539420272.492 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ n PI))) (* 0 0)) into (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)))))
1539420272.492 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))))) in n
1539420272.492 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)))) in n
1539420272.492 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.492 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.492 * [misc]taylor:  Taking taylor expansion of (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))) in n
1539420272.492 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.492 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.492 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.492 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) in n
1539420272.492 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.492 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.492 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.493 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.493 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.493 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.493 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.493 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.493 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.493 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.493 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.493 * [misc]backup-simplify:  Simplify PI into PI
1539420272.493 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.493 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.493 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.493 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.493 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.493 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.493 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.493 * [misc]backup-simplify:  Simplify k into k
1539420272.494 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.494 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.494 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.495 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.495 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.495 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in n
1539420272.495 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.495 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.495 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.495 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.496 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.496 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.496 * [misc]backup-simplify:  Simplify PI into PI
1539420272.496 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539420272.496 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))
1539420272.497 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))
1539420272.497 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.497 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539420272.498 * [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)))) into 0
1539420272.498 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow n 2) (pow PI 2)))
1539420272.499 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.500 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))) into 0
1539420272.501 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0
1539420272.501 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))) into (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))))))
1539420272.501 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))))) in n
1539420272.501 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))))) in n
1539420272.501 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.501 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.501 * [misc]taylor:  Taking taylor expansion of (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))) in n
1539420272.501 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1539420272.501 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.501 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.502 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.502 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) in n
1539420272.502 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.502 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.502 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.502 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.502 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.502 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.502 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.502 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.502 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.502 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.502 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.502 * [misc]backup-simplify:  Simplify PI into PI
1539420272.502 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.502 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.502 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.502 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.502 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.502 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.502 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.502 * [misc]backup-simplify:  Simplify k into k
1539420272.503 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.503 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.504 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.504 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.504 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.504 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n
1539420272.504 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.504 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.504 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.504 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.505 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.505 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1539420272.505 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.505 * [misc]backup-simplify:  Simplify PI into PI
1539420272.505 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.505 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.505 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420272.506 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))
1539420272.507 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))
1539420272.507 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))
1539420272.508 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))
1539420272.509 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))
1539420272.509 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.509 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539420272.510 * [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
1539420272.510 * [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)))
1539420272.511 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.511 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0
1539420272.512 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0
1539420272.513 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))) into (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))))))
1539420272.513 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))))) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))))) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.513 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.513 * [misc]taylor:  Taking taylor expansion of (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.513 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.513 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.513 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.513 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.513 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.513 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.513 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.513 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.513 * [misc]backup-simplify:  Simplify PI into PI
1539420272.513 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.513 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.513 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.513 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.513 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.514 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.514 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.514 * [misc]backup-simplify:  Simplify k into k
1539420272.514 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.515 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.515 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.515 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.516 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.516 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n
1539420272.516 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.516 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.516 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.516 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.516 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.516 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1539420272.516 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.516 * [misc]backup-simplify:  Simplify PI into PI
1539420272.516 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.516 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.517 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.517 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539420272.517 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539420272.518 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))
1539420272.519 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))
1539420272.519 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1539420272.520 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.520 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420272.522 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.522 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.523 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1539420272.524 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.525 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) PI))) into 0
1539420272.527 * [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0
1539420272.528 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) into 0
1539420272.528 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.528 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.528 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.529 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539420272.531 * [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
1539420272.532 * [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)))
1539420272.533 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.534 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))))) into 0
1539420272.535 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0
1539420272.537 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))) into (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4))))))
1539420272.537 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))))) in n
1539420272.537 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4))))) in n
1539420272.537 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.537 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.537 * [misc]taylor:  Taking taylor expansion of (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))) in n
1539420272.537 * [misc]taylor:  Taking taylor expansion of (pow n 4) in n
1539420272.537 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.537 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.537 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.537 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4))) in n
1539420272.537 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.537 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.537 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.538 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.538 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.538 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.538 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.538 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.538 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.538 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.538 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.538 * [misc]backup-simplify:  Simplify PI into PI
1539420272.538 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.538 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.538 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.538 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.538 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.539 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.539 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.539 * [misc]backup-simplify:  Simplify k into k
1539420272.539 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.540 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.540 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.541 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.542 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.542 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n
1539420272.542 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.542 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.542 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.542 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.542 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.542 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in n
1539420272.542 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.543 * [misc]backup-simplify:  Simplify PI into PI
1539420272.543 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.543 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.543 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.544 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1539420272.544 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4))
1539420272.545 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 4))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4)))
1539420272.546 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4))))
1539420272.548 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))
1539420272.549 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))))
1539420272.550 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))))
1539420272.551 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.553 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.554 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.555 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.559 * [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
1539420272.560 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420272.561 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0
1539420272.563 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420272.565 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))) into 0
1539420272.568 * [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0
1539420272.569 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0
1539420272.569 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.569 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.569 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.571 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
1539420272.572 * [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
1539420272.574 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 4) (pow PI 4))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 5) (pow PI 5)))
1539420272.574 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.575 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))))) into 0
1539420272.577 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0
1539420272.579 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))))) into (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5))))))
1539420272.579 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))))) in n
1539420272.579 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5))))) in n
1539420272.579 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.579 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.579 * [misc]taylor:  Taking taylor expansion of (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))) in n
1539420272.579 * [misc]taylor:  Taking taylor expansion of (pow n 5) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.580 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.580 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.580 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5))) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.580 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.580 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.580 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.580 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.580 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.580 * [misc]backup-simplify:  Simplify PI into PI
1539420272.580 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.580 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.580 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.580 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.580 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.581 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.581 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.581 * [misc]backup-simplify:  Simplify k into k
1539420272.582 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.582 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.583 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.583 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.584 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.584 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 5)) in n
1539420272.584 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.584 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.584 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.584 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.584 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.584 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in n
1539420272.584 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.585 * [misc]backup-simplify:  Simplify PI into PI
1539420272.585 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.585 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.585 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.585 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.586 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1539420272.586 * [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
1539420272.587 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5))
1539420272.588 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 5))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5)))
1539420272.589 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5))))
1539420272.590 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.590 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420272.591 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539420272.592 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.593 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420272.596 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.597 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.597 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1539420272.599 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.600 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539420272.604 * [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))))) into 0
1539420272.605 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into 0
1539420272.605 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.605 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.606 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.607 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.609 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.610 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.617 * [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
1539420272.617 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420272.618 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))))) into 0
1539420272.620 * [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
1539420272.621 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0
1539420272.624 * [misc]backup-simplify:  Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0
1539420272.625 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))))) into 0
1539420272.625 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.625 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.625 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.626 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
1539420272.627 * [misc]backup-simplify:  Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0
1539420272.628 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 3) (pow PI 3))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 5) (pow PI 5))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 4) (pow PI 4))))))) (* 2 0)) into (* +nan.0 (/ (pow n 6) (pow PI 6)))
1539420272.629 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.630 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))))))) into 0
1539420272.632 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0
1539420272.634 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 6) (pow PI 6)))) (+ (* 0 (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))))) into (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6))))))
1539420272.634 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))))) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6))))) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.634 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.634 * [misc]taylor:  Taking taylor expansion of (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of (pow n 6) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.634 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.634 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.634 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6))) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.634 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.634 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.634 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.634 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.634 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.634 * [misc]backup-simplify:  Simplify PI into PI
1539420272.634 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.634 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.634 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.634 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.634 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.635 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.635 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.635 * [misc]backup-simplify:  Simplify k into k
1539420272.635 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.636 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.636 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.636 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.637 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.637 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n
1539420272.637 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.637 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.637 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.637 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.637 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.637 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in n
1539420272.637 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.637 * [misc]backup-simplify:  Simplify PI into PI
1539420272.637 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.637 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.637 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.637 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.638 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539420272.638 * [misc]backup-simplify:  Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6)
1539420272.639 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6))
1539420272.639 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 6))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6)))
1539420272.640 * [misc]backup-simplify:  Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6))))
1539420272.641 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))
1539420272.642 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))))
1539420272.642 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))))
1539420272.645 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3)))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2)))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) PI))))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k)))))))))))
1539420272.645 * [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (- k))) (* (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))))
1539420272.645 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n)))) in (k n) around 0
1539420272.645 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n)))) in n
1539420272.645 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420272.645 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420272.645 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420272.645 * [misc]backup-simplify:  Simplify -1 into -1
1539420272.645 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.645 * [misc]backup-simplify:  Simplify k into k
1539420272.645 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420272.645 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420272.645 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420272.646 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420272.646 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.646 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.646 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.646 * [misc]backup-simplify:  Simplify k into k
1539420272.646 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420272.646 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.646 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.646 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.646 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.646 * [misc]backup-simplify:  Simplify PI into PI
1539420272.646 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.646 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.646 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.646 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.646 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.647 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420272.647 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420272.648 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.648 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420272.648 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420272.648 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539420272.648 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539420272.648 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539420272.648 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.648 * [misc]backup-simplify:  Simplify PI into PI
1539420272.648 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.648 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.648 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.648 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.648 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.649 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420272.649 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539420272.649 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.649 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420272.650 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539420272.650 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.651 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.652 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420272.652 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420272.653 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420272.653 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.653 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420272.654 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.655 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420272.655 * [misc]backup-simplify:  Simplify (/ (sqrt (/ -1 k)) (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (* +nan.0 (/ (sqrt (/ -1 k)) (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420272.655 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n)))) in k
1539420272.655 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420272.655 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420272.655 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420272.655 * [misc]backup-simplify:  Simplify -1 into -1
1539420272.655 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.656 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.656 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.656 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420272.656 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.656 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420272.656 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.656 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.656 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.656 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.656 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.656 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.656 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.656 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.656 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.656 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.656 * [misc]backup-simplify:  Simplify PI into PI
1539420272.656 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.656 * [misc]backup-simplify:  Simplify n into n
1539420272.656 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.656 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420272.657 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420272.657 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.657 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420272.657 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539420272.657 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539420272.657 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539420272.657 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539420272.657 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.657 * [misc]backup-simplify:  Simplify PI into PI
1539420272.657 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.657 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.657 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.657 * [misc]backup-simplify:  Simplify n into n
1539420272.657 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420272.657 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539420272.657 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539420272.658 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539420272.658 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539420272.658 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539420272.658 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))
1539420272.658 * [misc]backup-simplify:  Simplify (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))
1539420272.658 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n)))) in k
1539420272.658 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420272.658 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420272.658 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420272.658 * [misc]backup-simplify:  Simplify -1 into -1
1539420272.658 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.658 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.658 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.658 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420272.659 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.659 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420272.659 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.659 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.659 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.659 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.659 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.659 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.659 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.659 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.659 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.659 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.659 * [misc]backup-simplify:  Simplify PI into PI
1539420272.659 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.659 * [misc]backup-simplify:  Simplify n into n
1539420272.659 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.659 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420272.659 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420272.660 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.660 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420272.660 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539420272.660 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539420272.660 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539420272.660 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539420272.660 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.660 * [misc]backup-simplify:  Simplify PI into PI
1539420272.660 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.660 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.660 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.660 * [misc]backup-simplify:  Simplify n into n
1539420272.660 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420272.660 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539420272.660 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539420272.661 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539420272.661 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539420272.661 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539420272.661 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))
1539420272.661 * [misc]backup-simplify:  Simplify (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))
1539420272.661 * [misc]taylor:  Taking taylor expansion of (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n
1539420272.661 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.661 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.661 * [misc]taylor:  Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n
1539420272.661 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420272.661 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.661 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.661 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.661 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.661 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.661 * [misc]backup-simplify:  Simplify PI into PI
1539420272.661 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.661 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.661 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.662 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.662 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.662 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.662 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420272.662 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n
1539420272.662 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n
1539420272.662 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.662 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.662 * [misc]taylor:  Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n
1539420272.662 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420272.662 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.662 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.662 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.662 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.662 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.662 * [misc]backup-simplify:  Simplify PI into PI
1539420272.662 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.663 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.663 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.663 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.663 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.663 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420272.663 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.663 * [misc]backup-simplify:  Simplify k into k
1539420272.664 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.664 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.664 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k)
1539420272.665 * [misc]backup-simplify:  Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420272.665 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420272.666 * [misc]backup-simplify:  Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420272.666 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.667 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.668 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420272.669 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.669 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0
1539420272.670 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.671 * [misc]backup-simplify:  Simplify (+ (* 0 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))))))
1539420272.671 * [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)))))
1539420272.671 * [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)))))
1539420272.672 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539420272.672 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539420272.672 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 0) (* 0 (sqrt (* -2 (/ PI n))))) into 0
1539420272.673 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (+ (* (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (/ 0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))))) into (- (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))))
1539420272.673 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))))) in n
1539420272.673 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) in n
1539420272.673 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.673 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.673 * [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n
1539420272.673 * [misc]taylor:  Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n
1539420272.673 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420272.673 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.673 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.673 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.673 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.673 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.673 * [misc]backup-simplify:  Simplify PI into PI
1539420272.673 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.673 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.673 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.673 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.673 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.674 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.674 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420272.674 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n
1539420272.674 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n
1539420272.674 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.674 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.674 * [misc]taylor:  Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n
1539420272.674 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420272.674 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.674 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.674 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.674 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.674 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.674 * [misc]backup-simplify:  Simplify PI into PI
1539420272.674 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.674 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.674 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.674 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.675 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.675 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420272.675 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.675 * [misc]backup-simplify:  Simplify k into k
1539420272.675 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.676 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.676 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k)
1539420272.676 * [misc]backup-simplify:  Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420272.677 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420272.677 * [misc]backup-simplify:  Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420272.678 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.678 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.680 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420272.680 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.681 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0
1539420272.682 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.682 * [misc]backup-simplify:  Simplify (+ (* 0 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))))))
1539420272.683 * [misc]backup-simplify:  Simplify (/ 1 (- (* +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)))))
1539420272.683 * [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)))))
1539420272.683 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1539420272.684 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))
1539420272.685 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.685 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.688 * [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
1539420272.689 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420272.689 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420272.691 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420272.691 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.692 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.693 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539420272.694 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 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))))))
1539420272.695 * [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (+ (* (/ +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +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)))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420272.696 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420272.699 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ 1 (* 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 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (* PI k)))))))))
1539420272.699 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1539420272.700 * [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k)))
1539420272.700 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (k n) around 0
1539420272.700 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539420272.700 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539420272.700 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.700 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.700 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.700 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.700 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.701 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.701 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.701 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.701 * [misc]backup-simplify:  Simplify k into k
1539420272.701 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.701 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.701 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.701 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.701 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.701 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.701 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.701 * [misc]backup-simplify:  Simplify PI into PI
1539420272.701 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.702 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.702 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.703 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.703 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.703 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539420272.703 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539420272.704 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.705 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539420272.705 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539420272.705 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539420272.705 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539420272.705 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.705 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.705 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.705 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.705 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.705 * [misc]backup-simplify:  Simplify PI into PI
1539420272.705 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.706 * [misc]backup-simplify:  Simplify k into k
1539420272.706 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.706 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.706 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539420272.707 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.707 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539420272.707 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k
1539420272.707 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539420272.707 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.707 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.707 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.707 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.707 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.707 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.708 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.708 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.708 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.708 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.708 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.708 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.708 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.708 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.708 * [misc]backup-simplify:  Simplify n into n
1539420272.708 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.708 * [misc]backup-simplify:  Simplify PI into PI
1539420272.708 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.708 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420272.708 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420272.708 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420272.708 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.709 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539420272.709 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.709 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420272.709 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539420272.710 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539420272.710 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420272.710 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.711 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539420272.711 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420272.711 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539420272.711 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539420272.711 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.711 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.711 * [misc]backup-simplify:  Simplify n into n
1539420272.711 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.711 * [misc]backup-simplify:  Simplify PI into PI
1539420272.711 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.711 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.711 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.711 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.711 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539420272.711 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.711 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539420272.711 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k
1539420272.711 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539420272.711 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.712 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.712 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.712 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.712 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.712 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.712 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.712 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.712 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.712 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.712 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.712 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.712 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.712 * [misc]backup-simplify:  Simplify n into n
1539420272.712 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.712 * [misc]backup-simplify:  Simplify PI into PI
1539420272.712 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.712 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539420272.712 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539420272.712 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539420272.712 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.712 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539420272.713 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.713 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420272.713 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539420272.713 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539420272.714 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539420272.714 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.714 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539420272.714 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539420272.714 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539420272.714 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539420272.714 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539420272.714 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.714 * [misc]backup-simplify:  Simplify n into n
1539420272.714 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.714 * [misc]backup-simplify:  Simplify PI into PI
1539420272.714 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.714 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.714 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.714 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539420272.714 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539420272.714 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.714 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539420272.715 * [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
1539420272.715 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.715 * [misc]taylor:  Taking taylor expansion of 0 in n
1539420272.715 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.715 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.715 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (log (* 2 (* n PI))))
1539420272.715 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 (* n PI))))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI))))))
1539420272.716 * [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))))
1539420272.716 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* n PI)))) in n
1539420272.716 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* n PI))) in n
1539420272.716 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.716 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.716 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* n PI)) in n
1539420272.716 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.716 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.716 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.716 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.716 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.716 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.716 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.716 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.716 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.716 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.716 * [misc]backup-simplify:  Simplify PI into PI
1539420272.716 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.716 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.716 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539420272.716 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.716 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.717 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.717 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539420272.717 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)))) into 0
1539420272.717 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow n 2) (pow PI 2)))
1539420272.717 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.718 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.718 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1539420272.719 * [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
1539420272.719 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.719 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539420272.719 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.720 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1539420272.720 * [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))
1539420272.721 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.721 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)))
1539420272.722 * [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)))))))
1539420272.722 * [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
1539420272.722 * [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
1539420272.722 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) in n
1539420272.722 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.722 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.722 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI))) in n
1539420272.722 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.722 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.722 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.722 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.723 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.723 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (* n PI)) in n
1539420272.723 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.723 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.723 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.723 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.723 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.723 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.723 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.723 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.723 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.723 * [misc]backup-simplify:  Simplify PI into PI
1539420272.723 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.723 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.723 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.724 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.724 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.724 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.724 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.724 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.724 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.724 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.724 * [misc]backup-simplify:  Simplify PI into PI
1539420272.724 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n
1539420272.724 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n
1539420272.724 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.724 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.724 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n
1539420272.724 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.724 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.724 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.724 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.725 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.725 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1539420272.725 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1539420272.725 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.725 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.725 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.725 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1539420272.725 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.725 * [misc]backup-simplify:  Simplify PI into PI
1539420272.725 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.725 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.726 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539420272.726 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.726 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539420272.726 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420272.726 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.726 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.726 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.727 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539420272.728 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420272.728 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420272.729 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539420272.729 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.729 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.730 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.730 * [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)))
1539420272.730 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.731 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.731 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1539420272.733 * [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
1539420272.733 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.733 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.733 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539420272.733 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.734 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1539420272.735 * [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))
1539420272.735 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.735 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3))))
1539420272.737 * [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))))))))))
1539420272.737 * [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
1539420272.737 * [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
1539420272.737 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.737 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.737 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.737 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.737 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.737 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.737 * [misc]taylor:  Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.737 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.737 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.737 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.737 * [misc]backup-simplify:  Simplify PI into PI
1539420272.737 * [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
1539420272.737 * [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
1539420272.737 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.737 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.737 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI))) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.737 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.738 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.738 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.738 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.738 * [misc]taylor:  Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* n PI)) in n
1539420272.738 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1539420272.738 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.738 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.738 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.738 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.738 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.738 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.738 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.738 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.738 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.738 * [misc]backup-simplify:  Simplify PI into PI
1539420272.738 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.738 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.739 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.740 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.740 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.741 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.741 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.741 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.741 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.741 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.741 * [misc]backup-simplify:  Simplify PI into PI
1539420272.741 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.741 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.741 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.741 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.741 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.741 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.741 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.741 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.741 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.741 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.741 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.741 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.741 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.741 * [misc]backup-simplify:  Simplify PI into PI
1539420272.741 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.741 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.742 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.742 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.742 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.742 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1539420272.742 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1539420272.743 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.743 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.743 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.743 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1539420272.743 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.743 * [misc]backup-simplify:  Simplify PI into PI
1539420272.743 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.743 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.744 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1539420272.744 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.745 * [misc]backup-simplify:  Simplify (* (pow (+ (log n) (log (* 2 PI))) 2) 0) into 0
1539420272.745 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.745 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539420272.745 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420272.745 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.745 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420272.745 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.745 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.746 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.746 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.747 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420272.747 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420272.749 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.750 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) PI) (* 0 0)) into (+ (* PI (log (* 2 PI))) (* PI (log n)))
1539420272.750 * [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)))))
1539420272.751 * [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))))))))
1539420272.753 * [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))))))))
1539420272.754 * [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))))))))
1539420272.756 * [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))))))))
1539420272.757 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420272.757 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.758 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539420272.759 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1539420272.759 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.759 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.759 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.760 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539420272.760 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.761 * [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)))
1539420272.761 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.762 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539420272.763 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI)))))) into 0
1539420272.766 * [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
1539420272.766 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.766 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.766 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.766 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539420272.766 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.767 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI)))))))) into 0
1539420272.768 * [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))
1539420272.769 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.770 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* 1/384 (pow (log (* 2 (* n PI))) 4))) (+ (* 0 (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))))) into (* 1/384 (* (sqrt 2) (pow (log (* 2 (* n PI))) 4)))
1539420272.772 * [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))))))))))))
1539420272.772 * [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
1539420272.772 * [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
1539420272.772 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) in n
1539420272.772 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.772 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.772 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI))) in n
1539420272.772 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.772 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.772 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.772 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.772 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.772 * [misc]taylor:  Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 3) (* n PI)) in n
1539420272.772 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 3) in n
1539420272.772 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.773 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.773 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.773 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.773 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.773 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.773 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.773 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.773 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.773 * [misc]backup-simplify:  Simplify PI into PI
1539420272.773 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.773 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.773 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.774 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.774 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.774 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.774 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.774 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.774 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.774 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.774 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.774 * [misc]backup-simplify:  Simplify PI into PI
1539420272.775 * [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
1539420272.775 * [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
1539420272.775 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.775 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.775 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow n 4) (pow PI 4))) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.775 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.775 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.775 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.775 * [misc]taylor:  Taking taylor expansion of (* (pow n 4) (pow PI 4)) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of (pow n 4) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.775 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.775 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.775 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.775 * [misc]backup-simplify:  Simplify PI into PI
1539420272.775 * [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
1539420272.775 * [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
1539420272.775 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.775 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.775 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2)))) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.775 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.775 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.775 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.775 * [misc]taylor:  Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))) in n
1539420272.775 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1539420272.776 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.776 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.776 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.776 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.776 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.776 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.776 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.776 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.776 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.776 * [misc]backup-simplify:  Simplify PI into PI
1539420272.776 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.776 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.776 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.777 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.777 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.777 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.777 * [misc]taylor:  Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n
1539420272.777 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1539420272.777 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.777 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.777 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.777 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1539420272.777 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.777 * [misc]backup-simplify:  Simplify PI into PI
1539420272.777 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.778 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.778 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.778 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.778 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.778 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.778 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.778 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.778 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539420272.778 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.778 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.778 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.778 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.778 * [misc]backup-simplify:  Simplify PI into PI
1539420272.778 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.778 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539420272.779 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.779 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539420272.779 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.779 * [misc]taylor:  Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n
1539420272.779 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1539420272.779 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.779 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.779 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.779 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1539420272.779 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.779 * [misc]backup-simplify:  Simplify PI into PI
1539420272.780 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.780 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.781 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.781 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1539420272.782 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (pow (+ (log n) (log (* 2 PI))) 2)) into (pow (+ (log n) (log (* 2 PI))) 3)
1539420272.782 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539420272.783 * [misc]backup-simplify:  Simplify (* (pow (+ (log n) (log (* 2 PI))) 3) 0) into 0
1539420272.783 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539420272.783 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539420272.783 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539420272.783 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.783 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.784 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539420272.784 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.785 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539420272.785 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539420272.787 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.787 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539420272.788 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539420272.788 * [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))))
1539420272.790 * [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))))))))
1539420272.792 * [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)))))))))))
1539420272.794 * [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)))))))))))
1539420272.796 * [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)))))))))))
1539420272.799 * [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)))))))))))
1539420272.801 * [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)))))))))))
1539420272.804 * [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)))))))))))
1539420272.811 * [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))))))))))))))))))
1539420272.812 * [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt (/ 1 k)) (* (pow (* PI (* (/ 1 n) 2)) 1/2) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2)))))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n)))
1539420272.812 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (k n) around 0
1539420272.812 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.812 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.812 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.812 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.812 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.812 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.812 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420272.812 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.812 * [misc]backup-simplify:  Simplify k into k
1539420272.812 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420272.813 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.813 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.813 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.813 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.813 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.813 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.813 * [misc]backup-simplify:  Simplify PI into PI
1539420272.813 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.813 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.813 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.813 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.813 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.814 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.814 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420272.814 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539420272.814 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.815 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.816 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.816 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539420272.816 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539420272.816 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539420272.816 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.816 * [misc]backup-simplify:  Simplify PI into PI
1539420272.816 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.816 * [misc]backup-simplify:  Simplify k into k
1539420272.816 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.816 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.816 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.816 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539420272.816 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539420272.816 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.816 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539420272.816 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k
1539420272.816 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539420272.816 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.816 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.816 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.817 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.817 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.817 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.817 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.817 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.817 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.817 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.817 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.817 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.817 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.817 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.817 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.817 * [misc]backup-simplify:  Simplify PI into PI
1539420272.817 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.817 * [misc]backup-simplify:  Simplify n into n
1539420272.817 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.818 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420272.818 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420272.818 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.818 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.818 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420272.818 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539420272.818 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539420272.818 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539420272.818 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420272.818 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.818 * [misc]backup-simplify:  Simplify PI into PI
1539420272.818 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.818 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.818 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.818 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.819 * [misc]backup-simplify:  Simplify n into n
1539420272.819 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420272.819 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420272.819 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.820 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.820 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539420272.820 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.820 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.820 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.820 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.820 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.820 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.820 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.820 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.821 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.821 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.821 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.821 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.821 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539420272.821 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539420272.821 * [misc]taylor:  Taking taylor expansion of 2 in k
1539420272.821 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.821 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.821 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.821 * [misc]backup-simplify:  Simplify PI into PI
1539420272.821 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.821 * [misc]backup-simplify:  Simplify n into n
1539420272.821 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.821 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539420272.821 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539420272.821 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.821 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539420272.821 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539420272.822 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539420272.822 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539420272.822 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539420272.822 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539420272.822 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.822 * [misc]backup-simplify:  Simplify PI into PI
1539420272.822 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.822 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.822 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.822 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.822 * [misc]backup-simplify:  Simplify n into n
1539420272.822 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539420272.823 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539420272.823 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.823 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.823 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539420272.823 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))
1539420272.824 * [misc]backup-simplify:  Simplify (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 0) into 0
1539420272.824 * [misc]taylor:  Taking taylor expansion of 0 in n
1539420272.824 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.824 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))) into 0
1539420272.825 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ PI n))) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n)))
1539420272.825 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n))) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n)) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.825 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.825 * [misc]taylor:  Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.825 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.825 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.825 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.825 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.825 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.825 * [misc]backup-simplify:  Simplify PI into PI
1539420272.825 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.825 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.825 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.825 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.826 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.826 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.826 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.826 * [misc]backup-simplify:  Simplify k into k
1539420272.827 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.827 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.828 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.828 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.829 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.829 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in n
1539420272.829 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.829 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.829 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.829 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.829 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.829 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.829 * [misc]backup-simplify:  Simplify PI into PI
1539420272.829 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.829 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.829 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.830 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539420272.831 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))
1539420272.831 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))
1539420272.832 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))
1539420272.833 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))
1539420272.834 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))
1539420272.834 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.834 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539420272.835 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1539420272.835 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI n)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow n 2)))
1539420272.836 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.837 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))) into 0
1539420272.837 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2))))
1539420272.837 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)))) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2))) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.838 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.838 * [misc]taylor:  Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.838 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.838 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.838 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.838 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.838 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.838 * [misc]backup-simplify:  Simplify PI into PI
1539420272.838 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.838 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.838 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.838 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.838 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.839 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.839 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.839 * [misc]backup-simplify:  Simplify k into k
1539420272.839 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.840 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.841 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.841 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.842 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.842 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n
1539420272.842 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.842 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.842 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.842 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.842 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.842 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in n
1539420272.842 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.842 * [misc]backup-simplify:  Simplify PI into PI
1539420272.842 * [misc]taylor:  Taking taylor expansion of (pow n 2) in n
1539420272.842 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.842 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.842 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.843 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.843 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539420272.844 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))
1539420272.844 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.845 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))
1539420272.846 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420272.847 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539420272.848 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.849 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420272.852 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.853 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.853 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1539420272.855 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.856 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539420272.856 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.857 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) (/ 0 1)))) into 0
1539420272.858 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0
1539420272.859 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.859 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.859 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1539420272.860 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.861 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420272.863 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.864 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.865 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1539420272.866 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.867 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) PI))) into 0
1539420272.868 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) (/ 0 1)))) into 0
1539420272.869 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into 0
1539420272.869 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.869 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.869 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.870 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539420272.870 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
1539420272.871 * [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)))
1539420272.871 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539420272.872 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0
1539420272.873 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +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 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3))))
1539420272.873 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)))) in n
1539420272.873 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3))) in n
1539420272.873 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.873 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.873 * [misc]taylor:  Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)) in n
1539420272.873 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) in n
1539420272.873 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n
1539420272.873 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n
1539420272.873 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539420272.873 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539420272.873 * [misc]taylor:  Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n
1539420272.874 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539420272.874 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539420272.874 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.874 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.874 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.874 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.874 * [misc]backup-simplify:  Simplify PI into PI
1539420272.874 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.874 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.874 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.874 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.874 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539420272.875 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539420272.875 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.875 * [misc]backup-simplify:  Simplify k into k
1539420272.875 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.876 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539420272.876 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k)
1539420272.877 * [misc]backup-simplify:  Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539420272.877 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539420272.877 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n
1539420272.877 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539420272.877 * [misc]taylor:  Taking taylor expansion of 2 in n
1539420272.877 * [misc]backup-simplify:  Simplify 2 into 2
1539420272.878 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539420272.878 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539420272.878 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in n
1539420272.878 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.878 * [misc]backup-simplify:  Simplify PI into PI
1539420272.878 * [misc]taylor:  Taking taylor expansion of (pow n 3) in n
1539420272.878 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.878 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.878 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.878 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539420272.879 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539420272.879 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539420272.880 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))
1539420272.881 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.881 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539420272.882 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))
1539420272.883 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.884 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539420272.885 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1539420272.886 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0
1539420272.887 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.888 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
1539420272.889 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.890 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539420272.892 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539420272.893 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.893 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0
1539420272.895 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.896 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0
1539420272.897 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.898 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.902 * [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
1539420272.903 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420272.904 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0
1539420272.906 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420272.908 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0
1539420272.908 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539420272.909 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.909 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539420272.911 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 3)))) into 0
1539420272.911 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539420272.912 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) (/ 0 1)))) into 0
1539420272.914 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.915 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) into 0
1539420272.915 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.915 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.916 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.918 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539420272.919 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1539420272.921 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.922 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420272.927 * [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
1539420272.927 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420272.928 * [misc]backup-simplify:  Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0
1539420272.930 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420272.932 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0
1539420272.933 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539420272.934 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420272.935 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into 0
1539420272.936 * [misc]backup-simplify:  Simplify (- 0) into 0
1539420272.936 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.937 * [misc]backup-simplify:  Simplify (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) PI)))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))) k))
1539420272.937 * [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (* (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2)))))) into (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k)))
1539420272.937 * [misc]approximate:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in (k n) around 0
1539420272.938 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.938 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.938 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.938 * [misc]backup-simplify:  Simplify k into k
1539420272.938 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539420272.938 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.938 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.938 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.938 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.938 * [misc]backup-simplify:  Simplify PI into PI
1539420272.938 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.938 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.938 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.939 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.939 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.939 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420272.940 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539420272.940 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.941 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420272.941 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420272.941 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539420272.941 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539420272.941 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539420272.941 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.941 * [misc]backup-simplify:  Simplify PI into PI
1539420272.941 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.942 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.942 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.942 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.942 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.942 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420272.942 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539420272.942 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.943 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420272.943 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539420272.943 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539420272.943 * [misc]taylor:  Taking taylor expansion of -1 in n
1539420272.943 * [misc]backup-simplify:  Simplify -1 into -1
1539420272.943 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.943 * [misc]backup-simplify:  Simplify k into k
1539420272.943 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539420272.943 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539420272.944 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539420272.944 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539420272.944 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539420272.945 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.946 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.949 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420272.949 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539420272.949 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539420272.950 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.951 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539420272.952 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.953 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420272.954 * [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))
1539420272.954 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in k
1539420272.954 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in k
1539420272.954 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539420272.954 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539420272.954 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539420272.954 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.954 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.954 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.954 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.954 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.954 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.954 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.954 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.955 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420272.955 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420272.955 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.955 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.955 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.955 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.955 * [misc]backup-simplify:  Simplify PI into PI
1539420272.955 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.955 * [misc]backup-simplify:  Simplify n into n
1539420272.955 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.955 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420272.955 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420272.955 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.955 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420272.956 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539420272.956 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539420272.956 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539420272.956 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539420272.956 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.956 * [misc]backup-simplify:  Simplify PI into PI
1539420272.956 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.956 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.956 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.956 * [misc]backup-simplify:  Simplify n into n
1539420272.956 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420272.957 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539420272.957 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539420272.957 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539420272.957 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539420272.958 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539420272.958 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420272.958 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420272.958 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420272.958 * [misc]backup-simplify:  Simplify -1 into -1
1539420272.958 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.958 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.958 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.958 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420272.958 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.959 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420272.959 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))
1539420272.959 * [misc]backup-simplify:  Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))
1539420272.959 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in k
1539420272.959 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in k
1539420272.959 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539420272.959 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539420272.959 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539420272.959 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539420272.959 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539420272.959 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.959 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539420272.959 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.960 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.960 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.960 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539420272.960 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539420272.960 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539420272.960 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.960 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.960 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539420272.960 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.960 * [misc]backup-simplify:  Simplify PI into PI
1539420272.960 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.960 * [misc]backup-simplify:  Simplify n into n
1539420272.960 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539420272.960 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539420272.960 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539420272.960 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539420272.960 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539420272.961 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539420272.961 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539420272.961 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539420272.961 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539420272.961 * [misc]taylor:  Taking taylor expansion of PI in k
1539420272.961 * [misc]backup-simplify:  Simplify PI into PI
1539420272.961 * [misc]taylor:  Taking taylor expansion of -2 in k
1539420272.961 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.961 * [misc]taylor:  Taking taylor expansion of n in k
1539420272.961 * [misc]backup-simplify:  Simplify n into n
1539420272.961 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539420272.961 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539420272.961 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539420272.962 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539420272.962 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539420272.962 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539420272.962 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539420272.962 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539420272.963 * [misc]taylor:  Taking taylor expansion of -1 in k
1539420272.963 * [misc]backup-simplify:  Simplify -1 into -1
1539420272.963 * [misc]taylor:  Taking taylor expansion of k in k
1539420272.963 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.963 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.963 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539420272.963 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.963 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539420272.964 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))
1539420272.964 * [misc]backup-simplify:  Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))
1539420272.964 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n
1539420272.964 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.964 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.964 * [misc]taylor:  Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n
1539420272.964 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420272.964 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.964 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.964 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.964 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.964 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.964 * [misc]backup-simplify:  Simplify PI into PI
1539420272.964 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.964 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.964 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.965 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.965 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.965 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.966 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420272.966 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n
1539420272.966 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n
1539420272.966 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.966 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.966 * [misc]taylor:  Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n
1539420272.966 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420272.966 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.966 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.966 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.966 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.966 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.966 * [misc]backup-simplify:  Simplify PI into PI
1539420272.966 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.966 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.966 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.966 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.967 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.967 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420272.967 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.967 * [misc]backup-simplify:  Simplify k into k
1539420272.968 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.969 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.969 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k)
1539420272.970 * [misc]backup-simplify:  Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420272.970 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420272.971 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.972 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.974 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420272.975 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.976 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0
1539420272.977 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.978 * [misc]backup-simplify:  Simplify (+ (* 0 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))))))
1539420272.979 * [misc]backup-simplify:  Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420272.980 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420272.980 * [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))))))
1539420272.981 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 0) (* 0 (sqrt (* -2 (/ PI n))))) into 0
1539420272.981 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539420272.982 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539420272.983 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))))
1539420272.983 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) in n
1539420272.983 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n
1539420272.983 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1539420272.983 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539420272.983 * [misc]taylor:  Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n
1539420272.983 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539420272.983 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.983 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.983 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.983 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.983 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.983 * [misc]backup-simplify:  Simplify PI into PI
1539420272.983 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.983 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.983 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.984 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.984 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.984 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539420272.985 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539420272.985 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n
1539420272.985 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n
1539420272.985 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539420272.985 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539420272.985 * [misc]taylor:  Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n
1539420272.985 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539420272.985 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539420272.985 * [misc]taylor:  Taking taylor expansion of -2 in n
1539420272.985 * [misc]backup-simplify:  Simplify -2 into -2
1539420272.985 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539420272.985 * [misc]taylor:  Taking taylor expansion of PI in n
1539420272.985 * [misc]backup-simplify:  Simplify PI into PI
1539420272.985 * [misc]taylor:  Taking taylor expansion of n in n
1539420272.985 * [misc]backup-simplify:  Simplify 0 into 0
1539420272.985 * [misc]backup-simplify:  Simplify 1 into 1
1539420272.985 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539420272.986 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539420272.986 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539420272.986 * [misc]taylor:  Taking taylor expansion of k in n
1539420272.986 * [misc]backup-simplify:  Simplify k into k
1539420272.987 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.987 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539420272.988 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k)
1539420272.989 * [misc]backup-simplify:  Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539420272.989 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539420272.990 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420272.991 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420272.993 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539420272.994 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0
1539420272.995 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0
1539420272.996 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539420272.997 * [misc]backup-simplify:  Simplify (+ (* 0 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))))))
1539420272.998 * [misc]backup-simplify:  Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420272.999 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420273.000 * [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))))))
1539420273.001 * [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))))))
1539420273.002 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539420273.003 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539420273.008 * [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
1539420273.009 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539420273.011 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
1539420273.012 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539420273.013 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539420273.013 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539420273.014 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539420273.016 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 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))))))
1539420273.017 * [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))))))) (* 0 0))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539420273.017 * [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))))))
1539420273.019 * [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 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539420273.019 * * * [misc]progress:  simplifying candidates
1539420273.019 * * * * [misc]progress:  [ 1 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (pow (* PI (* n 2)) 1) (- (/ k 2)))))))>
1539420273.019 * * * * [misc]progress:  [ 2 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (exp (log (* PI (* n 2)))) (- (/ k 2)))))))>
1539420273.019 * * * * [misc]progress:  [ 3 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (log (exp (* PI (* n 2)))) (- (/ k 2)))))))>
1539420273.019 * * * * [misc]progress:  [ 4 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 5 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 6 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 7 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* 1 (* PI (* n 2))) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 8 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 9 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 10 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow (* PI (* n 2)) 1) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 11 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (exp (log (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 12 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (log (exp (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 13 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 14 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 15 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 16 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 1 (* PI (* n 2))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 17 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 18 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420273.020 * * * * [misc]progress:  [ 19 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) 1)))>
1539420273.020 * * * * [misc]progress:  [ 20 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420273.020 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))))
1539420273.020 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420273.023 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420273.029 * * [misc]simplify:  iters left: 4 (85 enodes)
1539420273.048 * * [misc]simplify:  iters left: 3 (245 enodes)
1539420273.184 * [exit]simplify:  Simplified to (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k)))
1539420273.184 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k))))))
1539420273.185 * * * * [misc]progress:  [ 21 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420273.185 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))))
1539420273.185 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420273.191 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420273.203 * * [misc]simplify:  iters left: 4 (85 enodes)
1539420273.239 * * [misc]simplify:  iters left: 3 (245 enodes)
1539420273.375 * [exit]simplify:  Simplified to (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k)))
1539420273.375 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k))))))
1539420273.375 * * * * [misc]progress:  [ 22 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420273.375 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))))
1539420273.376 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420273.381 * * [misc]simplify:  iters left: 5 (33 enodes)
1539420273.394 * * [misc]simplify:  iters left: 4 (73 enodes)
1539420273.425 * * [misc]simplify:  iters left: 3 (219 enodes)
1539420273.549 * [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* 2 (* PI n))) (- 1/2 (/ k 2))))
1539420273.549 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* 2 (* PI n))) (- 1/2 (/ k 2)))))))
1539420273.549 * * * * [misc]progress:  [ 23 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420273.549 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))))
1539420273.550 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420273.555 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420273.567 * * [misc]simplify:  iters left: 4 (85 enodes)
1539420273.603 * * [misc]simplify:  iters left: 3 (245 enodes)
1539420273.742 * [exit]simplify:  Simplified to (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k)))
1539420273.742 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k))))))
1539420273.742 * * * * [misc]progress:  [ 24 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420273.742 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))))
1539420273.742 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420273.747 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420273.759 * * [misc]simplify:  iters left: 4 (85 enodes)
1539420273.795 * * [misc]simplify:  iters left: 3 (245 enodes)
1539420273.919 * [exit]simplify:  Simplified to (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k)))
1539420273.919 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ -1/2 (/ k 2))) (log (sqrt k))))))
1539420273.919 * * * * [misc]progress:  [ 25 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420273.919 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))))
1539420273.920 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420273.922 * * [misc]simplify:  iters left: 5 (33 enodes)
1539420273.927 * * [misc]simplify:  iters left: 4 (73 enodes)
1539420273.945 * * [misc]simplify:  iters left: 3 (219 enodes)
1539420274.064 * [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* 2 (* PI n))) (- 1/2 (/ k 2))))
1539420274.064 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* 2 (* PI n))) (- 1/2 (/ k 2)))))))
1539420274.065 * * * * [misc]progress:  [ 26 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420274.065 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))))
1539420274.065 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420274.068 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420274.073 * * [misc]simplify:  iters left: 4 (83 enodes)
1539420274.090 * * [misc]simplify:  iters left: 3 (241 enodes)
1539420274.224 * [exit]simplify:  Simplified to (+ (* (log (* (* PI 2) n)) (+ (/ k 2) -1/2)) (log (sqrt k)))
1539420274.224 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* (* PI 2) n)) (+ (/ k 2) -1/2)) (log (sqrt k))))))
1539420274.224 * * * * [misc]progress:  [ 27 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420274.224 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))))
1539420274.224 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420274.230 * * [misc]simplify:  iters left: 5 (36 enodes)
1539420274.242 * * [misc]simplify:  iters left: 4 (83 enodes)
1539420274.278 * * [misc]simplify:  iters left: 3 (241 enodes)
1539420274.410 * [exit]simplify:  Simplified to (+ (* (log (* (* PI 2) n)) (+ (/ k 2) -1/2)) (log (sqrt k)))
1539420274.410 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* (* PI 2) n)) (+ (/ k 2) -1/2)) (log (sqrt k))))))
1539420274.411 * * * * [misc]progress:  [ 28 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420274.411 * [enter]simplify:  Simplifying (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2))))))
1539420274.411 * * [misc]simplify:  iters left: 6 (17 enodes)
1539420274.416 * * [misc]simplify:  iters left: 5 (32 enodes)
1539420274.427 * * [misc]simplify:  iters left: 4 (63 enodes)
1539420274.439 * * [misc]simplify:  iters left: 3 (168 enodes)
1539420274.514 * [exit]simplify:  Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n (* PI 2)))))
1539420274.514 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n (* PI 2))))))))
1539420274.514 * * * * [misc]progress:  [ 29 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420274.514 * [enter]simplify:  Simplifying (- (log (sqrt k)) (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420274.515 * * [misc]simplify:  iters left: 6 (16 enodes)
1539420274.519 * * [misc]simplify:  iters left: 5 (29 enodes)
1539420274.527 * * [misc]simplify:  iters left: 4 (45 enodes)
1539420274.541 * * [misc]simplify:  iters left: 3 (86 enodes)
1539420274.569 * * [misc]simplify:  iters left: 2 (243 enodes)
1539420274.764 * [exit]simplify:  Simplified to (+ (* (log (* n (* PI 2))) (- (/ k 2) 1/2)) (log (sqrt k)))
1539420274.764 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (- (/ k 2) 1/2)) (log (sqrt k))))))
1539420274.764 * * * * [misc]progress:  [ 30 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420274.764 * * * * [misc]progress:  [ 31 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420274.764 * * * * [misc]progress:  [ 32 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420274.764 * [enter]simplify:  Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420274.765 * * [misc]simplify:  iters left: 6 (20 enodes)
1539420274.768 * * [misc]simplify:  iters left: 5 (42 enodes)
1539420274.776 * * [misc]simplify:  iters left: 4 (138 enodes)
1539420274.843 * [exit]simplify:  Simplified to (/ (/ (* (/ k n) (/ (sqrt k) (* 2 PI))) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (- (/ k 2))) 3))
1539420274.843 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* (/ k n) (/ (sqrt k) (* 2 PI))) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (- (/ k 2))) 3)))))
1539420274.843 * * * * [misc]progress:  [ 33 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420274.843 * [enter]simplify:  Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420274.843 * * [misc]simplify:  iters left: 6 (18 enodes)
1539420274.850 * * [misc]simplify:  iters left: 5 (41 enodes)
1539420274.864 * * [misc]simplify:  iters left: 4 (121 enodes)
1539420274.937 * * [misc]simplify:  iters left: 3 (448 enodes)
1539420275.650 * [exit]simplify:  Simplified to (* (/ (sqrt k) (sqrt (* (* n 2) PI))) (/ (/ (/ k (* (* n 2) PI)) (pow (* (* n 2) PI) (- (/ k 2)))) (* (pow (* (* n 2) PI) (- (/ k 2))) (pow (* (* n 2) PI) (- (/ k 2))))))
1539420275.650 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (sqrt (* (* n 2) PI))) (/ (/ (/ k (* (* n 2) PI)) (pow (* (* n 2) PI) (- (/ k 2)))) (* (pow (* (* n 2) PI) (- (/ k 2))) (pow (* (* n 2) PI) (- (/ k 2)))))))))
1539420275.650 * * * * [misc]progress:  [ 34 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.650 * * * * [misc]progress:  [ 35 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.650 * * * * [misc]progress:  [ 36 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.650 * * * * [misc]progress:  [ 37 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.650 * * * * [misc]progress:  [ 38 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.651 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))
1539420275.651 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420275.654 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420275.659 * * [misc]simplify:  iters left: 4 (27 enodes)
1539420275.666 * * [misc]simplify:  iters left: 3 (29 enodes)
1539420275.670 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI)))
1539420275.670 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))
1539420275.670 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1539420275.671 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420275.672 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420275.675 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420275.678 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420275.681 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1539420275.681 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))))
1539420275.681 * * * * [misc]progress:  [ 39 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.681 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))
1539420275.681 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420275.683 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420275.685 * * [misc]simplify:  iters left: 4 (22 enodes)
1539420275.687 * * [misc]simplify:  iters left: 3 (23 enodes)
1539420275.690 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2)))
1539420275.690 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))
1539420275.690 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1539420275.690 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420275.692 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420275.694 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420275.697 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420275.700 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1539420275.700 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))))
1539420275.700 * * * * [misc]progress:  [ 40 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* PI (* n 2)) 1/2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.700 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) 1/2))
1539420275.700 * * [misc]simplify:  iters left: 6 (9 enodes)
1539420275.702 * * [misc]simplify:  iters left: 5 (16 enodes)
1539420275.708 * * [misc]simplify:  iters left: 4 (22 enodes)
1539420275.711 * * [misc]simplify:  iters left: 3 (23 enodes)
1539420275.713 * [exit]simplify:  Simplified to (/ 1 (sqrt (* n (* 2 PI))))
1539420275.713 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))
1539420275.714 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1539420275.714 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420275.716 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420275.718 * * [misc]simplify:  iters left: 4 (23 enodes)
1539420275.721 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420275.724 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1539420275.724 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))))
1539420275.724 * * * * [misc]progress:  [ 41 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.724 * * * * [misc]progress:  [ 42 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.724 * * * * [misc]progress:  [ 43 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539420275.724 * * * * [misc]progress:  [ 44 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420275.724 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1539420275.724 * * [misc]simplify:  iters left: 5 (9 enodes)
1539420275.726 * * [misc]simplify:  iters left: 4 (15 enodes)
1539420275.728 * * [misc]simplify:  iters left: 3 (21 enodes)
1539420275.730 * * [misc]simplify:  iters left: 2 (22 enodes)
1539420275.733 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1539420275.733 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2))))))
1539420275.733 * * * * [misc]progress:  [ 45 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))))))>
1539420275.733 * [enter]simplify:  Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1539420275.733 * * [misc]simplify:  iters left: 4 (4 enodes)
1539420275.734 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1539420275.734 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))))))
1539420275.734 * * * * [misc]progress:  [ 46 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))>
1539420275.734 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539420275.734 * * [misc]simplify:  iters left: 2 (3 enodes)
1539420275.734 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539420275.734 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))
1539420275.734 * * * * [misc]progress:  [ 47 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539420275.734 * * * * [misc]progress:  [ 48 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2)))))>
1539420275.734 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539420275.734 * * [misc]simplify:  iters left: 5 (8 enodes)
1539420275.736 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420275.737 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420275.740 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420275.742 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539420275.742 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2)))))
1539420275.742 * * * * [misc]progress:  [ 49 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) 1)) (pow (* PI (* n 2)) (/ k 2)))))>
1539420275.742 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539420275.742 * * [misc]simplify:  iters left: 5 (8 enodes)
1539420275.744 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420275.745 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420275.748 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420275.750 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539420275.750 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) 1)) (pow (* (* 2 n) PI) (/ k 2)))))
1539420275.750 * * * * [misc]progress:  [ 50 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0))) (pow (* PI (* n 2)) (/ k 2)))))>
1539420275.750 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539420275.750 * * [misc]simplify:  iters left: 5 (8 enodes)
1539420275.751 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420275.753 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420275.755 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420275.758 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539420275.758 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0))) (pow (* (* 2 n) PI) (/ k 2)))))
1539420275.758 * * * * [misc]progress:  [ 51 / 96 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) -1))>
1539420275.758 * * * * [misc]progress:  [ 52 / 96 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (- 1)))>
1539420275.758 * [enter]simplify:  Simplifying (- 1)
1539420275.758 * * [misc]simplify:  iters left: 2 (2 enodes)
1539420275.759 * * [misc]simplify:  iters left: 1 (5 enodes)
1539420275.759 * [exit]simplify:  Simplified to -1
1539420275.759 * [misc]simplify:  Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) -1))
1539420275.759 * * * * [misc]progress:  [ 53 / 96 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) 1))>
1539420275.759 * * * * [misc]progress:  [ 54 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420275.759 * * * * [misc]progress:  [ 55 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420275.759 * * * * [misc]progress:  [ 56 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.759 * * * * [misc]progress:  [ 57 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420275.760 * * * * [misc]progress:  [ 58 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420275.760 * * * * [misc]progress:  [ 59 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 60 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420275.760 * * * * [misc]progress:  [ 61 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2))))))))>
1539420275.760 * * * * [misc]progress:  [ 62 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 63 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 64 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 65 / 96 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 66 / 96 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 67 / 96 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))) (cbrt (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 68 / 96 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 69 / 96 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (sqrt (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))))>
1539420275.760 * * * * [misc]progress:  [ 70 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.760 * * * * [misc]progress:  [ 71 / 96 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.760 * * * * [misc]progress:  [ 72 / 96 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.760 * * * * [misc]progress:  [ 73 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) 1)))>
1539420275.760 * * * * [misc]progress:  [ 74 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))) (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.760 * [enter]simplify:  Simplifying (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420275.760 * * [misc]simplify:  iters left: 6 (15 enodes)
1539420275.762 * * [misc]simplify:  iters left: 5 (25 enodes)
1539420275.769 * * [misc]simplify:  iters left: 4 (31 enodes)
1539420275.776 * * [misc]simplify:  iters left: 3 (33 enodes)
1539420275.780 * [exit]simplify:  Simplified to (cbrt (/ (sqrt k) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (* n (* 2 PI))))))
1539420275.780 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))) (cbrt (/ (sqrt k) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (* n (* 2 PI))))))))
1539420275.780 * * * * [misc]progress:  [ 75 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))))>
1539420275.780 * [enter]simplify:  Simplifying (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))
1539420275.780 * * [misc]simplify:  iters left: 6 (15 enodes)
1539420275.783 * * [misc]simplify:  iters left: 5 (25 enodes)
1539420275.786 * * [misc]simplify:  iters left: 4 (31 enodes)
1539420275.790 * * [misc]simplify:  iters left: 3 (33 enodes)
1539420275.794 * [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (* n (* 2 PI))))))
1539420275.794 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (sqrt (/ (sqrt k) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (* n (* 2 PI))))))))
1539420275.795 * * * * [misc]progress:  [ 76 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420275.795 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1539420275.795 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420275.796 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420275.799 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420275.802 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420275.805 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1539420275.805 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))
1539420275.805 * * * * [misc]progress:  [ 77 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420275.805 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1539420275.805 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420275.807 * * [misc]simplify:  iters left: 5 (18 enodes)
1539420275.809 * * [misc]simplify:  iters left: 4 (24 enodes)
1539420275.812 * * [misc]simplify:  iters left: 3 (25 enodes)
1539420275.815 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1539420275.815 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))
1539420275.815 * * * * [misc]progress:  [ 78 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420275.815 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1539420275.815 * * [misc]simplify:  iters left: 6 (11 enodes)
1539420275.817 * * [misc]simplify:  iters left: 5 (17 enodes)
1539420275.819 * * [misc]simplify:  iters left: 4 (23 enodes)
1539420275.822 * * [misc]simplify:  iters left: 3 (24 enodes)
1539420275.827 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1539420275.827 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))
1539420275.827 * * * * [misc]progress:  [ 79 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.827 * [enter]simplify:  Simplifying (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))
1539420275.827 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420275.831 * * [misc]simplify:  iters left: 5 (24 enodes)
1539420275.840 * * [misc]simplify:  iters left: 4 (30 enodes)
1539420275.847 * * [misc]simplify:  iters left: 3 (32 enodes)
1539420275.855 * [exit]simplify:  Simplified to (/ (sqrt k) (* (pow (* 2 (* PI n)) (- (/ k 2))) (sqrt (* 2 (* PI n)))))
1539420275.855 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (* (pow (* 2 (* PI n)) (- (/ k 2))) (sqrt (* 2 (* PI n)))))))
1539420275.855 * * * * [misc]progress:  [ 80 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.856 * [enter]simplify:  Simplifying (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))
1539420275.856 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420275.860 * * [misc]simplify:  iters left: 5 (26 enodes)
1539420275.867 * * [misc]simplify:  iters left: 4 (32 enodes)
1539420275.875 * * [misc]simplify:  iters left: 3 (33 enodes)
1539420275.883 * [exit]simplify:  Simplified to (/ (/ 1 (sqrt (* 2 (* n PI)))) (pow (* 2 (* n PI)) (- (/ k 2))))
1539420275.883 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ (/ 1 (sqrt (* 2 (* n PI)))) (pow (* 2 (* n PI)) (- (/ k 2))))))
1539420275.883 * * * * [misc]progress:  [ 81 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))))>
1539420275.883 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539420275.884 * * [misc]simplify:  iters left: 5 (8 enodes)
1539420275.886 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420275.889 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420275.894 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420275.900 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539420275.900 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2))))
1539420275.900 * * * * [misc]progress:  [ 82 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) 1))) (pow (* PI (* n 2)) (/ k 2))))>
1539420275.900 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539420275.900 * * [misc]simplify:  iters left: 5 (8 enodes)
1539420275.903 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420275.906 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420275.911 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420275.916 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539420275.916 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) 1))) (pow (* (* 2 n) PI) (/ k 2))))
1539420275.916 * * * * [misc]progress:  [ 83 / 96 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0)))) (pow (* PI (* n 2)) (/ k 2))))>
1539420275.917 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539420275.917 * * [misc]simplify:  iters left: 5 (8 enodes)
1539420275.919 * * [misc]simplify:  iters left: 4 (12 enodes)
1539420275.923 * * [misc]simplify:  iters left: 3 (18 enodes)
1539420275.928 * * [misc]simplify:  iters left: 2 (20 enodes)
1539420275.932 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539420275.932 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0)))) (pow (* (* 2 n) PI) (/ k 2))))
1539420275.932 * * * * [misc]progress:  [ 84 / 96 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539420275.933 * [enter]simplify:  Simplifying (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))
1539420275.933 * * [misc]simplify:  iters left: 6 (12 enodes)
1539420275.936 * * [misc]simplify:  iters left: 5 (20 enodes)
1539420275.942 * * [misc]simplify:  iters left: 4 (26 enodes)
1539420275.948 * * [misc]simplify:  iters left: 3 (28 enodes)
1539420275.955 * [exit]simplify:  Simplified to (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI)))
1539420275.955 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI)))))
1539420275.955 * * * * [misc]progress:  [ 85 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))))))>
1539420275.955 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420275.955 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420275.956 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420275.957 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420275.959 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420275.961 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420275.961 * [misc]simplify:  Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))
1539420275.961 * * * * [misc]progress:  [ 86 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))))))>
1539420275.961 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420275.961 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420275.962 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420275.963 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420275.965 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420275.967 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420275.967 * [misc]simplify:  Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))
1539420275.967 * * * * [misc]progress:  [ 87 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))))))>
1539420275.967 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420275.967 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420275.968 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420275.969 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420275.972 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420275.974 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420275.974 * [misc]simplify:  Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))
1539420275.974 * * * * [misc]progress:  [ 88 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.974 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420275.974 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420275.975 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420275.976 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420275.978 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420275.980 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420275.980 * [misc]simplify:  Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))
1539420275.980 * * * * [misc]progress:  [ 89 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.980 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420275.980 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420275.981 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420275.982 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420275.984 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420275.988 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420275.988 * [misc]simplify:  Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))
1539420275.988 * * * * [misc]progress:  [ 90 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539420275.989 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539420275.989 * * [misc]simplify:  iters left: 4 (5 enodes)
1539420275.990 * * [misc]simplify:  iters left: 3 (9 enodes)
1539420275.993 * * [misc]simplify:  iters left: 2 (15 enodes)
1539420275.997 * * [misc]simplify:  iters left: 1 (17 enodes)
1539420276.000 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539420276.000 * [misc]simplify:  Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))
1539420276.000 * * * * [misc]progress:  [ 91 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI)))))))))))))))))>
1539420276.000 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI)))))))))))))))
1539420276.000 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1539420276.000 * * * * [misc]progress:  [ 92 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k)))))))))))))>
1539420276.001 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k)))))))))))
1539420276.001 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1539420276.001 * * * * [misc]progress:  [ 93 / 96 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (* PI k)))))))))))>
1539420276.001 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (* PI k)))))))))
1539420276.001 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1539420276.001 * * * * [misc]progress:  [ 94 / 96 ] 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)))))))))))))))))))>
1539420276.001 * [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))))))))))))))))))
1539420276.001 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420276.001 * * * * [misc]progress:  [ 95 / 96 ] simplifiying candidate #<alt (λ (k n) (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))) k)))>
1539420276.001 * [enter]simplify:  Simplifying (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))) k))
1539420276.001 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420276.001 * * * * [misc]progress:  [ 96 / 96 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))))>
1539420276.001 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539420276.001 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539420276.001 * * * [misc]progress:  adding candidates to table
1539420277.185 * [misc]progress:  [Phase 3 of 3] Extracting.
1539420277.185 * * [misc]regime:  Finding splitpoints for: (#<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (cbrt (* (* (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ (/ 1 (sqrt (* 2 (* n PI)))) (pow (* 2 (* n PI)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (sqrt (/ (sqrt k) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (* n (* 2 PI))))))))> #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>)
1539420277.187 * * * [misc]regime-changes:  Trying 2 branch expressions: (n k)
1539420277.187 * * * * [misc]regimes:  Trying to branch on n from (#<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (cbrt (* (* (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ (/ 1 (sqrt (* 2 (* n PI)))) (pow (* 2 (* n PI)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (sqrt (/ (sqrt k) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (* n (* 2 PI))))))))> #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>)
1539420277.286 * * * * [misc]regimes:  Trying to branch on k from (#<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (cbrt (* (* (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ (/ 1 (sqrt (* 2 (* n PI)))) (pow (* 2 (* n PI)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))))) (sqrt (/ (sqrt k) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (* n (* 2 PI))))))))> #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))>)
1539420277.354 * * * [misc]regime:  Found split indices: #<option (#s(si 6 256))>
1539420277.354 * [enter]simplify:  Simplifying (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))
1539420277.354 * * [misc]simplify:  iters left: 6 (14 enodes)
1539420277.355 * * [misc]simplify:  iters left: 5 (19 enodes)
1539420277.355 * [exit]simplify:  Simplified to (/ (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) 1/2)) (sqrt k))
1539420277.356 * * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
1539420277.415 * * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
1539420277.434 * * * * [misc]points:  Setting MPFR precision to 1088
1539420277.436 * * * * [misc]points:  Setting MPFR precision to 1344
1539420277.437 * * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
1539420277.463 * * * * [misc]points:  Setting MPFR precision to 1088
1539420277.466 * * * * [misc]points:  Setting MPFR precision to 1344
1539420277.469 * * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
1539420277.489 * * * * [misc]points:  Setting MPFR precision to 1088
1539420277.494 * * * * [misc]points:  Setting MPFR precision to 1344
1539420277.498 * * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
1539420277.518 * * * * [misc]points:  Setting MPFR precision to 1088
1539420277.534 * * * * [misc]points:  Setting MPFR precision to 1344
1539420277.544 * * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
1539420277.564 * * * * [misc]points:  Setting MPFR precision to 1088
1539420277.582 * * * * [misc]points:  Setting MPFR precision to 1344
1539420277.600 * * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
1539420277.610 * * * * [misc]points:  Setting MPFR precision to 1088
1539420277.658 * * * * [misc]points:  Setting MPFR precision to 1344
1539420277.684 * * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
1539420277.693 * * * * [misc]points:  Setting MPFR precision to 1088
1539420277.806 * * * * [misc]points:  Setting MPFR precision to 1344
1539420277.890 * * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
1539420277.910 * * * * [misc]points:  Setting MPFR precision to 1088
1539420278.049 * * * * [misc]points:  Setting MPFR precision to 1344
1539420278.241 * * * * [misc]points:  Computing exacts for 8000 points
1539420278.260 * * * * [misc]points:  Setting MPFR precision to 1088
1539420278.914 * * * * [misc]points:  Setting MPFR precision to 1344
1539420279.943 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420279.944 * * * * [misc]points:  Sampling 6469 additional inputs, on iter 1 have 1531 / 8000
1539420279.975 * * * * [misc]points:  Computing exacts on every 404 of 6469 points to ramp up precision
1539420280.005 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.006 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.006 * * * * [misc]points:  Computing exacts on every 202 of 6469 points to ramp up precision
1539420280.016 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.018 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.019 * * * * [misc]points:  Computing exacts on every 101 of 6469 points to ramp up precision
1539420280.043 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.049 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.054 * * * * [misc]points:  Computing exacts on every 50 of 6469 points to ramp up precision
1539420280.074 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.084 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.095 * * * * [misc]points:  Computing exacts on every 25 of 6469 points to ramp up precision
1539420280.114 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.147 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.160 * * * * [misc]points:  Computing exacts on every 12 of 6469 points to ramp up precision
1539420280.169 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.190 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.232 * * * * [misc]points:  Computing exacts on every 6 of 6469 points to ramp up precision
1539420280.272 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.311 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.350 * * * * [misc]points:  Computing exacts on every 3 of 6469 points to ramp up precision
1539420280.385 * * * * [misc]points:  Setting MPFR precision to 1088
1539420280.461 * * * * [misc]points:  Setting MPFR precision to 1344
1539420280.589 * * * * [misc]points:  Computing exacts for 6469 points
1539420280.608 * * * * [misc]points:  Setting MPFR precision to 1088
1539420281.232 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.238 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420282.239 * * * * [misc]points:  Sampling 5268 additional inputs, on iter 2 have 2732 / 8000
1539420282.267 * * * * [misc]points:  Computing exacts on every 329 of 5268 points to ramp up precision
1539420282.298 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.300 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.301 * * * * [misc]points:  Computing exacts on every 164 of 5268 points to ramp up precision
1539420282.321 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.324 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.327 * * * * [misc]points:  Computing exacts on every 82 of 5268 points to ramp up precision
1539420282.346 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.354 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.360 * * * * [misc]points:  Computing exacts on every 41 of 5268 points to ramp up precision
1539420282.386 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.397 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.407 * * * * [misc]points:  Computing exacts on every 20 of 5268 points to ramp up precision
1539420282.427 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.447 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.468 * * * * [misc]points:  Computing exacts on every 10 of 5268 points to ramp up precision
1539420282.502 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.541 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.581 * * * * [misc]points:  Computing exacts on every 5 of 5268 points to ramp up precision
1539420282.596 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.667 * * * * [misc]points:  Setting MPFR precision to 1344
1539420282.741 * * * * [misc]points:  Computing exacts on every 2 of 5268 points to ramp up precision
1539420282.761 * * * * [misc]points:  Setting MPFR precision to 1088
1539420282.887 * * * * [misc]points:  Setting MPFR precision to 1344
1539420283.065 * * * * [misc]points:  Computing exacts for 5268 points
1539420283.084 * * * * [misc]points:  Setting MPFR precision to 1088
1539420283.431 * * * * [misc]points:  Setting MPFR precision to 1344
1539420283.872 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420283.873 * * * * [misc]points:  Sampling 4302 additional inputs, on iter 3 have 3698 / 8000
1539420284.302 * * * * [misc]points:  Computing exacts on every 268 of 4302 points to ramp up precision
1539420284.326 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.327 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.328 * * * * [misc]points:  Computing exacts on every 134 of 4302 points to ramp up precision
1539420284.339 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.340 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.342 * * * * [misc]points:  Computing exacts on every 67 of 4302 points to ramp up precision
1539420284.356 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.359 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.362 * * * * [misc]points:  Computing exacts on every 33 of 4302 points to ramp up precision
1539420284.371 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.377 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.382 * * * * [misc]points:  Computing exacts on every 16 of 4302 points to ramp up precision
1539420284.399 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.411 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.429 * * * * [misc]points:  Computing exacts on every 8 of 4302 points to ramp up precision
1539420284.442 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.462 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.487 * * * * [misc]points:  Computing exacts on every 4 of 4302 points to ramp up precision
1539420284.518 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.564 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.618 * * * * [misc]points:  Computing exacts on every 2 of 4302 points to ramp up precision
1539420284.659 * * * * [misc]points:  Setting MPFR precision to 1088
1539420284.717 * * * * [misc]points:  Setting MPFR precision to 1344
1539420284.807 * * * * [misc]points:  Computing exacts for 4302 points
1539420284.817 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.115 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.474 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420285.475 * * * * [misc]points:  Sampling 3506 additional inputs, on iter 4 have 4494 / 8000
1539420285.500 * * * * [misc]points:  Computing exacts on every 219 of 3506 points to ramp up precision
1539420285.509 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.510 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.511 * * * * [misc]points:  Computing exacts on every 109 of 3506 points to ramp up precision
1539420285.529 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.531 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.533 * * * * [misc]points:  Computing exacts on every 54 of 3506 points to ramp up precision
1539420285.542 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.544 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.547 * * * * [misc]points:  Computing exacts on every 27 of 3506 points to ramp up precision
1539420285.564 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.575 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.582 * * * * [misc]points:  Computing exacts on every 13 of 3506 points to ramp up precision
1539420285.591 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.602 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.624 * * * * [misc]points:  Computing exacts on every 6 of 3506 points to ramp up precision
1539420285.659 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.703 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.728 * * * * [misc]points:  Computing exacts on every 3 of 3506 points to ramp up precision
1539420285.738 * * * * [misc]points:  Setting MPFR precision to 1088
1539420285.815 * * * * [misc]points:  Setting MPFR precision to 1344
1539420285.854 * * * * [misc]points:  Computing exacts for 3506 points
1539420285.863 * * * * [misc]points:  Setting MPFR precision to 1088
1539420286.472 * * * * [misc]points:  Setting MPFR precision to 1344
1539420286.759 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420286.760 * * * * [misc]points:  Sampling 2866 additional inputs, on iter 5 have 5134 / 8000
1539420286.772 * * * * [misc]points:  Computing exacts on every 179 of 2866 points to ramp up precision
1539420286.809 * * * * [misc]points:  Setting MPFR precision to 1088
1539420286.813 * * * * [misc]points:  Setting MPFR precision to 1344
1539420286.814 * * * * [misc]points:  Computing exacts on every 89 of 2866 points to ramp up precision
1539420286.833 * * * * [misc]points:  Setting MPFR precision to 1088
1539420286.836 * * * * [misc]points:  Setting MPFR precision to 1344
1539420286.839 * * * * [misc]points:  Computing exacts on every 44 of 2866 points to ramp up precision
1539420286.859 * * * * [misc]points:  Setting MPFR precision to 1088
1539420286.863 * * * * [misc]points:  Setting MPFR precision to 1344
1539420286.868 * * * * [misc]points:  Computing exacts on every 22 of 2866 points to ramp up precision
1539420286.895 * * * * [misc]points:  Setting MPFR precision to 1088
1539420286.907 * * * * [misc]points:  Setting MPFR precision to 1344
1539420286.918 * * * * [misc]points:  Computing exacts on every 11 of 2866 points to ramp up precision
1539420286.937 * * * * [misc]points:  Setting MPFR precision to 1088
1539420286.957 * * * * [misc]points:  Setting MPFR precision to 1344
1539420286.975 * * * * [misc]points:  Computing exacts on every 5 of 2866 points to ramp up precision
1539420287.012 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.031 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.069 * * * * [misc]points:  Computing exacts on every 2 of 2866 points to ramp up precision
1539420287.106 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.157 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.211 * * * * [misc]points:  Computing exacts for 2866 points
1539420287.266 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.446 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.691 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420287.692 * * * * [misc]points:  Sampling 2349 additional inputs, on iter 6 have 5651 / 8000
1539420287.706 * * * * [misc]points:  Computing exacts on every 146 of 2349 points to ramp up precision
1539420287.716 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.717 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.718 * * * * [misc]points:  Computing exacts on every 73 of 2349 points to ramp up precision
1539420287.745 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.747 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.750 * * * * [misc]points:  Computing exacts on every 36 of 2349 points to ramp up precision
1539420287.770 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.775 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.781 * * * * [misc]points:  Computing exacts on every 18 of 2349 points to ramp up precision
1539420287.808 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.815 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.820 * * * * [misc]points:  Computing exacts on every 9 of 2349 points to ramp up precision
1539420287.829 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.839 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.849 * * * * [misc]points:  Computing exacts on every 4 of 2349 points to ramp up precision
1539420287.877 * * * * [misc]points:  Setting MPFR precision to 1088
1539420287.905 * * * * [misc]points:  Setting MPFR precision to 1344
1539420287.925 * * * * [misc]points:  Computing exacts on every 2 of 2349 points to ramp up precision
1539420287.941 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.034 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.104 * * * * [misc]points:  Computing exacts for 2349 points
1539420288.122 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.257 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.453 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420288.453 * * * * [misc]points:  Sampling 1913 additional inputs, on iter 7 have 6087 / 8000
1539420288.461 * * * * [misc]points:  Computing exacts on every 119 of 1913 points to ramp up precision
1539420288.792 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.793 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.794 * * * * [misc]points:  Computing exacts on every 59 of 1913 points to ramp up precision
1539420288.804 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.805 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.807 * * * * [misc]points:  Computing exacts on every 29 of 1913 points to ramp up precision
1539420288.816 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.818 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.821 * * * * [misc]points:  Computing exacts on every 14 of 1913 points to ramp up precision
1539420288.835 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.841 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.846 * * * * [misc]points:  Computing exacts on every 7 of 1913 points to ramp up precision
1539420288.864 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.883 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.903 * * * * [misc]points:  Computing exacts on every 3 of 1913 points to ramp up precision
1539420288.922 * * * * [misc]points:  Setting MPFR precision to 1088
1539420288.951 * * * * [misc]points:  Setting MPFR precision to 1344
1539420288.971 * * * * [misc]points:  Computing exacts for 1913 points
1539420288.985 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.105 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.272 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420289.273 * * * * [misc]points:  Sampling 1544 additional inputs, on iter 8 have 6456 / 8000
1539420289.286 * * * * [misc]points:  Computing exacts on every 96 of 1544 points to ramp up precision
1539420289.305 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.306 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.307 * * * * [misc]points:  Computing exacts on every 48 of 1544 points to ramp up precision
1539420289.350 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.353 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.355 * * * * [misc]points:  Computing exacts on every 24 of 1544 points to ramp up precision
1539420289.368 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.371 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.373 * * * * [misc]points:  Computing exacts on every 12 of 1544 points to ramp up precision
1539420289.387 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.391 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.401 * * * * [misc]points:  Computing exacts on every 6 of 1544 points to ramp up precision
1539420289.420 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.438 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.457 * * * * [misc]points:  Computing exacts on every 3 of 1544 points to ramp up precision
1539420289.489 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.509 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.526 * * * * [misc]points:  Computing exacts for 1544 points
1539420289.536 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.659 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.743 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420289.743 * * * * [misc]points:  Sampling 1263 additional inputs, on iter 9 have 6737 / 8000
1539420289.749 * * * * [misc]points:  Computing exacts on every 78 of 1263 points to ramp up precision
1539420289.793 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.796 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.797 * * * * [misc]points:  Computing exacts on every 39 of 1263 points to ramp up precision
1539420289.809 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.812 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.814 * * * * [misc]points:  Computing exacts on every 19 of 1263 points to ramp up precision
1539420289.842 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.847 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.853 * * * * [misc]points:  Computing exacts on every 9 of 1263 points to ramp up precision
1539420289.872 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.882 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.893 * * * * [misc]points:  Computing exacts on every 4 of 1263 points to ramp up precision
1539420289.913 * * * * [misc]points:  Setting MPFR precision to 1088
1539420289.943 * * * * [misc]points:  Setting MPFR precision to 1344
1539420289.965 * * * * [misc]points:  Computing exacts on every 2 of 1263 points to ramp up precision
1539420289.984 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.007 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.026 * * * * [misc]points:  Computing exacts for 1263 points
1539420290.054 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.136 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.254 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420290.254 * * * * [misc]points:  Sampling 1019 additional inputs, on iter 10 have 6981 / 8000
1539420290.258 * * * * [misc]points:  Computing exacts on every 63 of 1019 points to ramp up precision
1539420290.268 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.269 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.270 * * * * [misc]points:  Computing exacts on every 31 of 1019 points to ramp up precision
1539420290.290 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.293 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.296 * * * * [misc]points:  Computing exacts on every 15 of 1019 points to ramp up precision
1539420290.313 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.317 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.320 * * * * [misc]points:  Computing exacts on every 7 of 1019 points to ramp up precision
1539420290.329 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.335 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.341 * * * * [misc]points:  Computing exacts on every 3 of 1019 points to ramp up precision
1539420290.358 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.370 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.382 * * * * [misc]points:  Computing exacts for 1019 points
1539420290.391 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.451 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.500 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420290.500 * * * * [misc]points:  Sampling 836 additional inputs, on iter 11 have 7164 / 8000
1539420290.504 * * * * [misc]points:  Computing exacts on every 52 of 836 points to ramp up precision
1539420290.513 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.514 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.534 * * * * [misc]points:  Computing exacts on every 26 of 836 points to ramp up precision
1539420290.556 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.559 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.562 * * * * [misc]points:  Computing exacts on every 13 of 836 points to ramp up precision
1539420290.581 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.586 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.590 * * * * [misc]points:  Computing exacts on every 6 of 836 points to ramp up precision
1539420290.618 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.627 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.637 * * * * [misc]points:  Computing exacts on every 3 of 836 points to ramp up precision
1539420290.656 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.673 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.685 * * * * [misc]points:  Computing exacts for 836 points
1539420290.704 * * * * [misc]points:  Setting MPFR precision to 1088
1539420290.740 * * * * [misc]points:  Setting MPFR precision to 1344
1539420290.797 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420290.797 * * * * [misc]points:  Sampling 666 additional inputs, on iter 12 have 7334 / 8000
1539420290.800 * * * * [misc]points:  Computing exacts on every 41 of 666 points to ramp up precision
1539420291.135 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.136 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.137 * * * * [misc]points:  Computing exacts on every 20 of 666 points to ramp up precision
1539420291.148 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.149 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.150 * * * * [misc]points:  Computing exacts on every 10 of 666 points to ramp up precision
1539420291.159 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.162 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.165 * * * * [misc]points:  Computing exacts on every 5 of 666 points to ramp up precision
1539420291.179 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.183 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.188 * * * * [misc]points:  Computing exacts on every 2 of 666 points to ramp up precision
1539420291.197 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.206 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.215 * * * * [misc]points:  Computing exacts for 666 points
1539420291.233 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.260 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.302 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420291.303 * * * * [misc]points:  Sampling 544 additional inputs, on iter 13 have 7456 / 8000
1539420291.307 * * * * [misc]points:  Computing exacts on every 34 of 544 points to ramp up precision
1539420291.352 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.353 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.354 * * * * [misc]points:  Computing exacts on every 17 of 544 points to ramp up precision
1539420291.364 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.365 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.367 * * * * [misc]points:  Computing exacts on every 8 of 544 points to ramp up precision
1539420291.376 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.378 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.385 * * * * [misc]points:  Computing exacts on every 4 of 544 points to ramp up precision
1539420291.394 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.399 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.404 * * * * [misc]points:  Computing exacts on every 2 of 544 points to ramp up precision
1539420291.413 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.421 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.430 * * * * [misc]points:  Computing exacts for 544 points
1539420291.463 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.493 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.523 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420291.524 * * * * [misc]points:  Sampling 422 additional inputs, on iter 14 have 7578 / 8000
1539420291.527 * * * * [misc]points:  Computing exacts on every 26 of 422 points to ramp up precision
1539420291.562 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.563 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.564 * * * * [misc]points:  Computing exacts on every 13 of 422 points to ramp up precision
1539420291.573 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.574 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.575 * * * * [misc]points:  Computing exacts on every 6 of 422 points to ramp up precision
1539420291.585 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.588 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.593 * * * * [misc]points:  Computing exacts on every 3 of 422 points to ramp up precision
1539420291.620 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.627 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.636 * * * * [misc]points:  Computing exacts for 422 points
1539420291.649 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.667 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.705 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420291.706 * * * * [misc]points:  Sampling 327 additional inputs, on iter 15 have 7673 / 8000
1539420291.707 * * * * [misc]points:  Computing exacts on every 20 of 327 points to ramp up precision
1539420291.719 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.720 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.721 * * * * [misc]points:  Computing exacts on every 10 of 327 points to ramp up precision
1539420291.736 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.737 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.739 * * * * [misc]points:  Computing exacts on every 5 of 327 points to ramp up precision
1539420291.752 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.754 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.757 * * * * [misc]points:  Computing exacts on every 2 of 327 points to ramp up precision
1539420291.773 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.782 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.791 * * * * [misc]points:  Computing exacts for 327 points
1539420291.805 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.819 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.842 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420291.843 * * * * [misc]points:  Sampling 270 additional inputs, on iter 16 have 7730 / 8000
1539420291.845 * * * * [misc]points:  Computing exacts on every 16 of 270 points to ramp up precision
1539420291.857 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.858 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.859 * * * * [misc]points:  Computing exacts on every 8 of 270 points to ramp up precision
1539420291.877 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.878 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.881 * * * * [misc]points:  Computing exacts on every 4 of 270 points to ramp up precision
1539420291.897 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.902 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.907 * * * * [misc]points:  Computing exacts on every 2 of 270 points to ramp up precision
1539420291.926 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.933 * * * * [misc]points:  Setting MPFR precision to 1344
1539420291.940 * * * * [misc]points:  Computing exacts for 270 points
1539420291.966 * * * * [misc]points:  Setting MPFR precision to 1088
1539420291.979 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.002 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.002 * * * * [misc]points:  Sampling 210 additional inputs, on iter 17 have 7790 / 8000
1539420292.003 * * * * [misc]points:  Computing exacts on every 13 of 210 points to ramp up precision
1539420292.017 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.018 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.018 * * * * [misc]points:  Computing exacts on every 6 of 210 points to ramp up precision
1539420292.036 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.037 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.039 * * * * [misc]points:  Computing exacts on every 3 of 210 points to ramp up precision
1539420292.054 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.057 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.059 * * * * [misc]points:  Computing exacts for 210 points
1539420292.068 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.090 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.099 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.100 * * * * [misc]points:  Sampling 180 additional inputs, on iter 18 have 7820 / 8000
1539420292.100 * * * * [misc]points:  Computing exacts on every 11 of 180 points to ramp up precision
1539420292.110 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.110 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.111 * * * * [misc]points:  Computing exacts on every 5 of 180 points to ramp up precision
1539420292.120 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.123 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.125 * * * * [misc]points:  Computing exacts on every 2 of 180 points to ramp up precision
1539420292.145 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.148 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.150 * * * * [misc]points:  Computing exacts for 180 points
1539420292.159 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.169 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.184 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.184 * * * * [misc]points:  Sampling 152 additional inputs, on iter 19 have 7848 / 8000
1539420292.185 * * * * [misc]points:  Computing exacts on every 9 of 152 points to ramp up precision
1539420292.215 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.217 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.218 * * * * [misc]points:  Computing exacts on every 4 of 152 points to ramp up precision
1539420292.228 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.229 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.231 * * * * [misc]points:  Computing exacts on every 2 of 152 points to ramp up precision
1539420292.239 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.241 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.243 * * * * [misc]points:  Computing exacts for 152 points
1539420292.266 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.277 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.288 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.289 * * * * [misc]points:  Sampling 119 additional inputs, on iter 20 have 7881 / 8000
1539420292.290 * * * * [misc]points:  Computing exacts on every 7 of 119 points to ramp up precision
1539420292.309 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.311 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.312 * * * * [misc]points:  Computing exacts on every 3 of 119 points to ramp up precision
1539420292.339 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.342 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.345 * * * * [misc]points:  Computing exacts for 119 points
1539420292.364 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.373 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.384 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.384 * * * * [misc]points:  Sampling 98 additional inputs, on iter 21 have 7902 / 8000
1539420292.385 * * * * [misc]points:  Computing exacts on every 6 of 98 points to ramp up precision
1539420292.404 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.405 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.406 * * * * [misc]points:  Computing exacts on every 3 of 98 points to ramp up precision
1539420292.434 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.436 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.438 * * * * [misc]points:  Computing exacts for 98 points
1539420292.458 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.462 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.466 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.466 * * * * [misc]points:  Sampling 85 additional inputs, on iter 22 have 7915 / 8000
1539420292.467 * * * * [misc]points:  Computing exacts on every 5 of 85 points to ramp up precision
1539420292.481 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.482 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.484 * * * * [misc]points:  Computing exacts on every 2 of 85 points to ramp up precision
1539420292.504 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.507 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.510 * * * * [misc]points:  Computing exacts for 85 points
1539420292.529 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.535 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.543 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.543 * * * * [misc]points:  Sampling 69 additional inputs, on iter 23 have 7931 / 8000
1539420292.543 * * * * [misc]points:  Computing exacts on every 4 of 69 points to ramp up precision
1539420292.571 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.572 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.573 * * * * [misc]points:  Computing exacts on every 2 of 69 points to ramp up precision
1539420292.592 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.594 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.596 * * * * [misc]points:  Computing exacts for 69 points
1539420292.620 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.626 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.632 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.632 * * * * [misc]points:  Sampling 55 additional inputs, on iter 24 have 7945 / 8000
1539420292.632 * * * * [misc]points:  Computing exacts on every 3 of 55 points to ramp up precision
1539420292.653 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.654 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.656 * * * * [misc]points:  Computing exacts for 55 points
1539420292.676 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.680 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.683 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.683 * * * * [misc]points:  Sampling 39 additional inputs, on iter 25 have 7961 / 8000
1539420292.683 * * * * [misc]points:  Computing exacts on every 2 of 39 points to ramp up precision
1539420292.698 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.698 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.699 * * * * [misc]points:  Computing exacts for 39 points
1539420292.708 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.710 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.712 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.712 * * * * [misc]points:  Sampling 31 additional inputs, on iter 26 have 7969 / 8000
1539420292.713 * * * * [misc]points:  Computing exacts for 31 points
1539420292.737 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.740 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.743 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.743 * * * * [misc]points:  Sampling 26 additional inputs, on iter 27 have 7974 / 8000
1539420292.743 * * * * [misc]points:  Computing exacts for 26 points
1539420292.762 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.764 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.767 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.767 * * * * [misc]points:  Sampling 25 additional inputs, on iter 28 have 7975 / 8000
1539420292.767 * * * * [misc]points:  Computing exacts for 25 points
1539420292.786 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.789 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.791 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.791 * * * * [misc]points:  Sampling 21 additional inputs, on iter 29 have 7979 / 8000
1539420292.791 * * * * [misc]points:  Computing exacts for 21 points
1539420292.806 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.807 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.809 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.809 * * * * [misc]points:  Sampling 15 additional inputs, on iter 30 have 7985 / 8000
1539420292.809 * * * * [misc]points:  Computing exacts for 15 points
1539420292.818 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.819 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.820 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.820 * * * * [misc]points:  Sampling 15 additional inputs, on iter 31 have 7985 / 8000
1539420292.820 * * * * [misc]points:  Computing exacts for 15 points
1539420292.829 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.830 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.831 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.831 * * * * [misc]points:  Sampling 10 additional inputs, on iter 32 have 7990 / 8000
1539420292.831 * * * * [misc]points:  Computing exacts for 10 points
1539420292.844 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.845 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.846 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.846 * * * * [misc]points:  Sampling 8 additional inputs, on iter 33 have 7992 / 8000
1539420292.846 * * * * [misc]points:  Computing exacts for 8 points
1539420292.865 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.866 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.867 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.867 * * * * [misc]points:  Sampling 8 additional inputs, on iter 34 have 7992 / 8000
1539420292.867 * * * * [misc]points:  Computing exacts for 8 points
1539420292.881 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.882 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.882 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.882 * * * * [misc]points:  Sampling 6 additional inputs, on iter 35 have 7994 / 8000
1539420292.882 * * * * [misc]points:  Computing exacts for 6 points
1539420292.892 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.892 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.892 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.893 * * * * [misc]points:  Sampling 5 additional inputs, on iter 36 have 7995 / 8000
1539420292.893 * * * * [misc]points:  Computing exacts for 5 points
1539420292.904 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.904 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.905 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.905 * * * * [misc]points:  Sampling 4 additional inputs, on iter 37 have 7997 / 8000
1539420292.905 * * * * [misc]points:  Computing exacts for 4 points
1539420292.928 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.928 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.929 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.929 * * * * [misc]points:  Sampling 4 additional inputs, on iter 38 have 7997 / 8000
1539420292.929 * * * * [misc]points:  Computing exacts for 4 points
1539420292.948 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.948 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.949 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.949 * * * * [misc]points:  Sampling 4 additional inputs, on iter 39 have 7997 / 8000
1539420292.949 * * * * [misc]points:  Computing exacts for 4 points
1539420292.968 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.968 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.969 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.969 * * * * [misc]points:  Sampling 4 additional inputs, on iter 40 have 7998 / 8000
1539420292.969 * * * * [misc]points:  Computing exacts for 4 points
1539420292.991 * * * * [misc]points:  Setting MPFR precision to 1088
1539420292.992 * * * * [misc]points:  Setting MPFR precision to 1344
1539420292.993 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420292.993 * * * * [misc]points:  Sampling 4 additional inputs, on iter 41 have 7999 / 8000
1539420292.993 * * * * [misc]points:  Computing exacts for 4 points
1539420293.013 * * * * [misc]points:  Setting MPFR precision to 1088
1539420293.013 * * * * [misc]points:  Setting MPFR precision to 1344
1539420293.014 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539420293.014 * * * * [exit]points:  Sampled 8000 points with exact outputs
1539420294.059 * [misc]regime-testing:  Baseline error score: 0.41990116549409273
1539420294.059 * [misc]regime-testing:  End program error score: 0.41990116549409273
1539420294.060 * [misc]regime-testing:  Oracle error score: 0.047785631256451105