1538728571.437 * [misc]progress:  [Phase 1 of 3] Setting up.
1538728571.437 * * * [misc]progress:  [1/2] Preparing points
1538728571.437 * * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
1538728571.536 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.536 * * * * [misc]points:  Sampling 195 additional inputs, on iter 1 have 61 / 256
1538728571.657 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.657 * * * * [misc]points:  Sampling 144 additional inputs, on iter 2 have 112 / 256
1538728571.727 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.727 * * * * [misc]points:  Sampling 105 additional inputs, on iter 3 have 151 / 256
1538728571.778 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.779 * * * * [misc]points:  Sampling 80 additional inputs, on iter 4 have 176 / 256
1538728571.817 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.817 * * * * [misc]points:  Sampling 59 additional inputs, on iter 5 have 197 / 256
1538728571.898 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.899 * * * * [misc]points:  Sampling 49 additional inputs, on iter 6 have 207 / 256
1538728571.922 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.922 * * * * [misc]points:  Sampling 40 additional inputs, on iter 7 have 216 / 256
1538728571.942 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.942 * * * * [misc]points:  Sampling 31 additional inputs, on iter 8 have 225 / 256
1538728571.959 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.959 * * * * [misc]points:  Sampling 26 additional inputs, on iter 9 have 230 / 256
1538728571.973 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.974 * * * * [misc]points:  Sampling 20 additional inputs, on iter 10 have 236 / 256
1538728571.982 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.982 * * * * [misc]points:  Sampling 15 additional inputs, on iter 11 have 241 / 256
1538728571.988 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.988 * * * * [misc]points:  Sampling 9 additional inputs, on iter 12 have 247 / 256
1538728571.993 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.993 * * * * [misc]points:  Sampling 6 additional inputs, on iter 13 have 250 / 256
1538728571.997 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728571.997 * * * * [misc]points:  Sampling 4 additional inputs, on iter 14 have 253 / 256
1538728572.001 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728572.001 * * * * [misc]points:  Sampling 4 additional inputs, on iter 15 have 254 / 256
1538728572.005 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728572.005 * * * * [misc]points:  Sampling 4 additional inputs, on iter 16 have 255 / 256
1538728572.045 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728572.045 * * * * [exit]points:  Sampled 256 points with exact outputs
1538728572.045 * * * [misc]progress:  [2/2] Setting up program.
1538728572.061 * [misc]progress:  [Phase 2 of 3] Improving.
1538728572.062 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538728572.063 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728572.072 * * [misc]simplify:  iters left: 5 (28 enodes)
1538728572.083 * * [misc]simplify:  iters left: 4 (44 enodes)
1538728572.100 * * [misc]simplify:  iters left: 3 (54 enodes)
1538728572.114 * * [misc]simplify:  iters left: 2 (57 enodes)
1538728572.129 * * [misc]simplify:  iters left: 1 (65 enodes)
1538728572.151 * [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1538728572.174 * * [misc]progress:  iteration 1 / 4
1538728572.174 * * * [misc]progress:  picking best candidate
1538728572.202 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1538728572.202 * * * [misc]progress:  localizing error
1538728572.256 * * * [misc]progress:  generating rewritten candidates
1538728572.256 * * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
1538728572.290 * * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
1538728572.310 * * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
1538728572.371 * * * [misc]progress:  generating series expansions
1538728572.371 * * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
1538728572.372 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1538728572.372 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1538728572.372 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.372 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.372 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.372 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.372 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.372 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.372 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.372 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.372 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.372 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728572.372 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.372 * [misc]backup-simplify:  Simplify n into n
1538728572.372 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.372 * [misc]backup-simplify:  Simplify PI into PI
1538728572.372 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728572.372 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728572.372 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728572.373 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728572.373 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.373 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.373 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728572.373 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728572.373 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728572.373 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728572.373 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728572.373 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728572.373 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.373 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.373 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728572.373 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.373 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.373 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.373 * [misc]backup-simplify:  Simplify k into k
1538728572.373 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728572.373 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728572.373 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.374 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.374 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728572.374 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.374 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.374 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.374 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.374 * [misc]backup-simplify:  Simplify PI into PI
1538728572.374 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728572.374 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728572.375 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728572.375 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728572.375 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.375 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728572.375 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728572.376 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728572.376 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.377 * [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))))
1538728572.377 * [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)))))
1538728572.377 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.377 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.377 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.377 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.377 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.377 * [misc]backup-simplify:  Simplify k into k
1538728572.377 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.377 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.377 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728572.377 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.377 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.377 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.377 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.377 * [misc]backup-simplify:  Simplify PI into PI
1538728572.378 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728572.378 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728572.378 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728572.379 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728572.379 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.379 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728572.379 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728572.379 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728572.380 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.380 * [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))))
1538728572.380 * [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)))))
1538728572.381 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.381 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.381 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.381 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.381 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.381 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.381 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.381 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.381 * [misc]backup-simplify:  Simplify n into n
1538728572.381 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728572.381 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728572.381 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.381 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.381 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.381 * [misc]backup-simplify:  Simplify PI into PI
1538728572.381 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.381 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.382 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728572.382 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.382 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.382 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.383 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538728572.383 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538728572.383 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538728572.384 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728572.385 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728572.387 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728572.387 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538728572.387 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.387 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.388 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.388 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538728572.389 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728572.389 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.389 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.389 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.390 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538728572.390 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728572.392 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728572.393 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.393 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728572.393 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728572.393 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728572.393 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538728572.395 * [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)))))))
1538728572.396 * [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)))))))
1538728572.397 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.398 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538728572.401 * [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
1538728572.402 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538728572.402 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.402 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.402 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.403 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728572.405 * [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
1538728572.405 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.405 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.406 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.406 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.407 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538728572.409 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.414 * [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
1538728572.415 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.415 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728572.415 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.415 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.416 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728572.420 * [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)))))
1538728572.424 * [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)))))
1538728572.434 * [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)))))
1538728572.435 * [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))))
1538728572.435 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1538728572.435 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728572.435 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728572.435 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728572.435 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728572.435 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.435 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.435 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.435 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.435 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.435 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.435 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.435 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.435 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.436 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.436 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728572.436 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728572.436 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.436 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.436 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728572.436 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.436 * [misc]backup-simplify:  Simplify PI into PI
1538728572.436 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.436 * [misc]backup-simplify:  Simplify n into n
1538728572.436 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728572.436 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728572.436 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728572.436 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.437 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728572.437 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728572.437 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728572.437 * [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))))
1538728572.437 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728572.437 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728572.437 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728572.438 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728572.438 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.438 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.438 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.438 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.438 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.438 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.438 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.438 * [misc]backup-simplify:  Simplify k into k
1538728572.438 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.438 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728572.438 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728572.438 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.438 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.438 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.438 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.438 * [misc]backup-simplify:  Simplify PI into PI
1538728572.438 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.438 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.438 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.439 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.439 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.439 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.439 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.440 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728572.440 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728572.440 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.441 * [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)))
1538728572.442 * [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))))
1538728572.442 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.442 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.442 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.442 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.442 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.442 * [misc]backup-simplify:  Simplify k into k
1538728572.442 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.442 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.442 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.442 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.442 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.443 * [misc]backup-simplify:  Simplify PI into PI
1538728572.443 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.443 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.443 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.443 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.443 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.444 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.444 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.444 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728572.444 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728572.445 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.445 * [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)))
1538728572.446 * [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))))
1538728572.446 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538728572.446 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538728572.446 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728572.446 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.447 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.447 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.447 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.447 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.447 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.447 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.447 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.447 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.447 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.447 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538728572.447 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728572.447 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728572.447 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.447 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.447 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.447 * [misc]backup-simplify:  Simplify PI into PI
1538728572.447 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.448 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.448 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728572.448 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.448 * [misc]backup-simplify:  Simplify n into n
1538728572.448 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728572.448 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.448 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728572.449 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728572.449 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728572.449 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538728572.450 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538728572.451 * [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))))
1538728572.456 * [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))))
1538728572.457 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728572.458 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728572.461 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728572.461 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728572.461 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728572.462 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.462 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.463 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.463 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538728572.465 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728572.465 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.465 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.465 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.465 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.467 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.468 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.474 * [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
1538728572.475 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.475 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728572.475 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.475 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.476 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.477 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538728572.480 * [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
1538728572.480 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.480 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.480 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.480 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.480 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.482 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.484 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.494 * [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
1538728572.494 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.495 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538728572.495 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.495 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.496 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.497 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538728572.501 * [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
1538728572.501 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.501 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.501 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.502 * [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)))))
1538728572.502 * [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))
1538728572.502 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1538728572.503 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.503 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.503 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.503 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.503 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.503 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.503 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.503 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.503 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728572.503 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.503 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728572.503 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.503 * [misc]backup-simplify:  Simplify PI into PI
1538728572.503 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.503 * [misc]backup-simplify:  Simplify n into n
1538728572.503 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728572.504 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728572.504 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728572.504 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.504 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.504 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728572.505 * [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)))
1538728572.505 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.505 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.505 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.505 * [misc]backup-simplify:  Simplify k into k
1538728572.505 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.505 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.505 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.505 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728572.505 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.505 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.505 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.505 * [misc]backup-simplify:  Simplify PI into PI
1538728572.505 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.505 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.505 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.506 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.506 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.507 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728572.507 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.507 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728572.508 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.508 * [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)))
1538728572.509 * [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))))
1538728572.509 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728572.509 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728572.509 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728572.509 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728572.509 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.509 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.509 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.509 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.510 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.510 * [misc]backup-simplify:  Simplify k into k
1538728572.510 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.510 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.510 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.510 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728572.510 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728572.510 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728572.510 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.510 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.510 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.510 * [misc]backup-simplify:  Simplify PI into PI
1538728572.510 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.510 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.510 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.510 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.511 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.511 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728572.511 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.511 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728572.512 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.513 * [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)))
1538728572.514 * [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))))
1538728572.514 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.514 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.514 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.514 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.514 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.514 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.514 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.514 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.514 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538728572.514 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728572.514 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.514 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.515 * [misc]backup-simplify:  Simplify PI into PI
1538728572.515 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.515 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728572.515 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728572.515 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.515 * [misc]backup-simplify:  Simplify n into n
1538728572.516 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728572.516 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.516 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.516 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728572.517 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538728572.517 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538728572.518 * [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))))
1538728572.519 * [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))))
1538728572.520 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728572.521 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728572.524 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538728572.524 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728572.525 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728572.525 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.526 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.526 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538728572.528 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728572.528 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.528 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.528 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.528 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.530 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.531 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.537 * [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
1538728572.538 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.538 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728572.538 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.539 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.540 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538728572.542 * [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
1538728572.543 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.543 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.543 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.543 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.543 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.545 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.546 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.556 * [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
1538728572.557 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.557 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538728572.557 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.558 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.559 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1538728572.563 * [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
1538728572.563 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.563 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.563 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.564 * [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)))))
1538728572.564 * * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
1538728572.565 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538728572.565 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538728572.565 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728572.565 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.565 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.565 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728572.565 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.565 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.565 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.565 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.565 * [misc]backup-simplify:  Simplify PI into PI
1538728572.565 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728572.565 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.565 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.565 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728572.565 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.565 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.565 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.565 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.566 * [misc]backup-simplify:  Simplify PI into PI
1538728572.566 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728572.566 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728572.566 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.567 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728572.568 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728572.568 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.569 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728572.570 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728572.570 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.572 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.574 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538728572.574 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.576 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728572.578 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538728572.578 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.581 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728572.584 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538728572.585 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.588 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728572.590 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538728572.590 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.593 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538728572.595 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538728572.595 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.595 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538728572.595 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538728572.595 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538728572.596 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728572.596 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.596 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.596 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.596 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.596 * [misc]backup-simplify:  Simplify PI into PI
1538728572.596 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.596 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.596 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.596 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.596 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728572.596 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.596 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.596 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.596 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.596 * [misc]backup-simplify:  Simplify PI into PI
1538728572.596 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.596 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.596 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.596 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.596 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.597 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.597 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728572.598 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728572.598 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.599 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.600 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.600 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.601 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.604 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.604 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.605 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.606 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728572.606 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.608 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.609 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728572.609 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.611 * [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
1538728572.613 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728572.613 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.613 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538728572.613 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538728572.613 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538728572.613 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728572.613 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728572.613 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.613 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.613 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.613 * [misc]backup-simplify:  Simplify PI into PI
1538728572.613 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.613 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.613 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.614 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.614 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728572.614 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728572.614 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.614 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.614 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.614 * [misc]backup-simplify:  Simplify PI into PI
1538728572.614 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.614 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.614 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.614 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.614 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.615 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.615 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728572.616 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728572.616 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.618 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.619 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.619 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.620 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.622 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.622 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.624 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.626 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728572.626 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.629 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.632 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728572.632 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.634 * [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
1538728572.638 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728572.638 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.639 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538728572.639 * * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
1538728572.640 * [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))))
1538728572.640 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1538728572.640 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538728572.640 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728572.640 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.640 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.640 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.640 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.640 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.640 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728572.641 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728572.641 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.641 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.641 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.641 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.641 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.641 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.641 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.641 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.641 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.641 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728572.641 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.641 * [misc]backup-simplify:  Simplify n into n
1538728572.641 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.641 * [misc]backup-simplify:  Simplify PI into PI
1538728572.641 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728572.642 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728572.642 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728572.642 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728572.642 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.642 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.643 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728572.643 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728572.643 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538728572.643 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538728572.643 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.643 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.643 * [misc]backup-simplify:  Simplify k into k
1538728572.643 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.643 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538728572.643 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728572.643 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538728572.643 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728572.643 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728572.643 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728572.643 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728572.643 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.644 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.644 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728572.644 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.644 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.644 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.644 * [misc]backup-simplify:  Simplify k into k
1538728572.644 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728572.644 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728572.644 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.644 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.644 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728572.644 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.644 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.644 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.644 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.644 * [misc]backup-simplify:  Simplify PI into PI
1538728572.644 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728572.645 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728572.645 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728572.646 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728572.647 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.647 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728572.647 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728572.647 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728572.648 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.649 * [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))))
1538728572.650 * [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)))))
1538728572.650 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538728572.650 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538728572.650 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.650 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.650 * [misc]backup-simplify:  Simplify k into k
1538728572.650 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.650 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538728572.650 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728572.650 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538728572.650 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.651 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.651 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.651 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.651 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.651 * [misc]backup-simplify:  Simplify k into k
1538728572.651 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.651 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.651 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728572.651 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.651 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.651 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.651 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.651 * [misc]backup-simplify:  Simplify PI into PI
1538728572.651 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728572.652 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728572.652 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728572.653 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728572.654 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.654 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728572.654 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728572.654 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728572.655 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.655 * [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))))
1538728572.656 * [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)))))
1538728572.657 * [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)))
1538728572.657 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1538728572.657 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538728572.657 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538728572.657 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728572.657 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.657 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.657 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728572.657 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.657 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.657 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.657 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.657 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.657 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538728572.657 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728572.657 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.658 * [misc]backup-simplify:  Simplify n into n
1538728572.658 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728572.658 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728572.658 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728572.658 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.658 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.658 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.658 * [misc]backup-simplify:  Simplify PI into PI
1538728572.658 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.659 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.659 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728572.659 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.659 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.660 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.660 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538728572.661 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538728572.661 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728572.661 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.661 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.661 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.661 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.661 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.662 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728572.662 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728572.663 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1538728572.663 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.664 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728572.665 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728572.669 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728572.669 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538728572.669 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.669 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.670 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.671 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538728572.673 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728572.673 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1538728572.673 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.674 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.675 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538728572.675 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728572.679 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728572.679 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.679 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728572.679 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728572.679 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728572.680 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538728572.682 * [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)))))))
1538728572.685 * [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)))))))
1538728572.686 * [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)))))))
1538728572.687 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.689 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538728572.695 * [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
1538728572.696 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538728572.696 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.696 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.697 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.698 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728572.701 * [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
1538728572.701 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.702 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1538728572.703 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1538728572.703 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.703 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.703 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.703 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728572.704 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728572.706 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538728572.708 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.713 * [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
1538728572.714 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.714 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728572.714 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.714 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.715 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728572.719 * [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)))))
1538728572.727 * [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))))))))
1538728572.730 * [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))))))))
1538728572.732 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728572.735 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538728572.745 * [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
1538728572.745 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1538728572.745 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.746 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.746 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728572.748 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1538728572.754 * [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
1538728572.755 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.755 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1538728572.756 * [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
1538728572.757 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.757 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.757 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.757 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.757 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.758 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728572.762 * [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
1538728572.763 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.773 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1538728572.773 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.774 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538728572.774 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.774 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.775 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1538728572.782 * [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)))))))
1538728572.802 * [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))))))))))))))
1538728572.815 * [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))))))))))))))
1538728572.836 * [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))))))))))))))))))))))
1538728572.836 * [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)))))
1538728572.836 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1538728572.836 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728572.836 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728572.836 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.836 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.836 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.837 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728572.837 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728572.837 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728572.837 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728572.837 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728572.837 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728572.837 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.837 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.837 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.837 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.837 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.838 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.838 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.838 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.838 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.838 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.838 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728572.838 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728572.839 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.839 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.839 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728572.839 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.839 * [misc]backup-simplify:  Simplify PI into PI
1538728572.839 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.839 * [misc]backup-simplify:  Simplify n into n
1538728572.839 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728572.839 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728572.839 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728572.839 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.839 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728572.840 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728572.840 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728572.840 * [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))))
1538728572.840 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728572.840 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538728572.840 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.840 * [misc]backup-simplify:  Simplify k into k
1538728572.840 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538728572.840 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538728572.840 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728572.840 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.841 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.841 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.841 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.841 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.841 * [misc]backup-simplify:  Simplify k into k
1538728572.841 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.841 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.841 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.841 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.841 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.841 * [misc]backup-simplify:  Simplify PI into PI
1538728572.841 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.841 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.841 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.842 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.842 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.842 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.842 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.843 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728572.843 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728572.844 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.844 * [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)))
1538728572.845 * [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))))
1538728572.845 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728572.845 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538728572.845 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.845 * [misc]backup-simplify:  Simplify k into k
1538728572.846 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538728572.846 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538728572.846 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.846 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.846 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.846 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.846 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.846 * [misc]backup-simplify:  Simplify k into k
1538728572.846 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.846 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728572.846 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.846 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.846 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.846 * [misc]backup-simplify:  Simplify PI into PI
1538728572.846 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.846 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.846 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.847 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.847 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.847 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.848 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.848 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728572.848 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728572.849 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.849 * [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)))
1538728572.850 * [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))))
1538728572.851 * [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))
1538728572.851 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1538728572.851 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538728572.851 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538728572.851 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728572.851 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.851 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.851 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.851 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.851 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.851 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.851 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.851 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.851 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.852 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.852 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538728572.852 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728572.852 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728572.852 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728572.852 * [misc]backup-simplify:  Simplify 2 into 2
1538728572.852 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.852 * [misc]backup-simplify:  Simplify PI into PI
1538728572.852 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728572.853 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728572.853 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728572.853 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.853 * [misc]backup-simplify:  Simplify n into n
1538728572.853 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728572.853 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.853 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728572.853 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728572.853 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728572.854 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538728572.855 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538728572.855 * [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))))
1538728572.855 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728572.855 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.855 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.855 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.856 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728572.856 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728572.857 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1538728572.857 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.858 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728572.859 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728572.863 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728572.863 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728572.863 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728572.863 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.863 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.864 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.865 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538728572.867 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728572.868 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1538728572.868 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.868 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.868 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.869 * [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))))))
1538728572.870 * [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))))))
1538728572.871 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.873 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.879 * [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
1538728572.879 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.879 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728572.879 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.880 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.880 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.881 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538728572.884 * [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
1538728572.885 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1538728572.886 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1538728572.886 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.886 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.886 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.886 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.887 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728572.888 * [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))))))
1538728572.889 * [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))))))
1538728572.891 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.893 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728572.905 * [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
1538728572.905 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.905 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538728572.906 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728572.906 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.907 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728572.908 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538728572.912 * [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
1538728572.913 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1538728572.914 * [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
1538728572.914 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.914 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.914 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.914 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.914 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.915 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728572.916 * [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))))))
1538728572.917 * [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))))))
1538728572.921 * [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))))))))
1538728572.922 * [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)))
1538728572.922 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1538728572.922 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.922 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.922 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.922 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.922 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.922 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.922 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.922 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.922 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728572.922 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728572.923 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.923 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728572.923 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.923 * [misc]backup-simplify:  Simplify PI into PI
1538728572.923 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.923 * [misc]backup-simplify:  Simplify n into n
1538728572.923 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728572.923 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728572.923 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728572.923 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.924 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.924 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728572.924 * [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)))
1538728572.924 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728572.924 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728572.924 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728572.924 * [misc]backup-simplify:  Simplify -1 into -1
1538728572.924 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.924 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.924 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.925 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728572.925 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728572.925 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728572.926 * [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))))
1538728572.926 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.926 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.926 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.926 * [misc]backup-simplify:  Simplify k into k
1538728572.926 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.926 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.926 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.926 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728572.926 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.926 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.926 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.926 * [misc]backup-simplify:  Simplify PI into PI
1538728572.926 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.926 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.926 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.927 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.927 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.928 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728572.928 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.928 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728572.929 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.929 * [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)))
1538728572.930 * [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))))
1538728572.930 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538728572.930 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538728572.930 * [misc]taylor:  Taking taylor expansion of -1 in n
1538728572.930 * [misc]backup-simplify:  Simplify -1 into -1
1538728572.930 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.930 * [misc]backup-simplify:  Simplify k into k
1538728572.930 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538728572.931 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538728572.931 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538728572.931 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538728572.932 * [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)))
1538728572.932 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.932 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.932 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.932 * [misc]backup-simplify:  Simplify k into k
1538728572.932 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728572.932 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728572.932 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.932 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728572.932 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.932 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728572.932 * [misc]taylor:  Taking taylor expansion of PI in n
1538728572.932 * [misc]backup-simplify:  Simplify PI into PI
1538728572.932 * [misc]taylor:  Taking taylor expansion of n in n
1538728572.932 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.933 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.933 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728572.933 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.934 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728572.934 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728572.934 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728572.935 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.935 * [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)))
1538728572.936 * [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))))
1538728572.936 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538728572.936 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538728572.936 * [misc]taylor:  Taking taylor expansion of -1 in n
1538728572.936 * [misc]backup-simplify:  Simplify -1 into -1
1538728572.936 * [misc]taylor:  Taking taylor expansion of k in n
1538728572.936 * [misc]backup-simplify:  Simplify k into k
1538728572.937 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538728572.937 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538728572.937 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538728572.937 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538728572.938 * [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)))
1538728572.938 * [misc]taylor:  Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1538728572.938 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538728572.938 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538728572.938 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728572.938 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728572.938 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.938 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.938 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728572.938 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.938 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.938 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.939 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728572.939 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728572.939 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728572.939 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538728572.939 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538728572.939 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538728572.939 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728572.939 * [misc]backup-simplify:  Simplify -2 into -2
1538728572.939 * [misc]taylor:  Taking taylor expansion of PI in k
1538728572.939 * [misc]backup-simplify:  Simplify PI into PI
1538728572.939 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728572.940 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728572.940 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728572.940 * [misc]taylor:  Taking taylor expansion of n in k
1538728572.940 * [misc]backup-simplify:  Simplify n into n
1538728572.940 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728572.940 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728572.940 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728572.940 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728572.941 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538728572.942 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538728572.942 * [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))))
1538728572.942 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728572.943 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728572.943 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728572.943 * [misc]backup-simplify:  Simplify -1 into -1
1538728572.943 * [misc]taylor:  Taking taylor expansion of k in k
1538728572.943 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.943 * [misc]backup-simplify:  Simplify 1 into 1
1538728572.943 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728572.943 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728572.943 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728572.944 * [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)))))
1538728572.945 * [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)))))
1538728572.946 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728572.947 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728572.950 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538728572.951 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728572.951 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728572.951 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.952 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.953 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538728572.954 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728572.955 * [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
1538728572.955 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.955 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.955 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.955 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538728572.956 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728572.957 * [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))))))
1538728572.957 * [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))))))
1538728572.958 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.959 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728572.963 * [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
1538728572.963 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.963 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728572.963 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728572.964 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728572.964 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538728572.966 * [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
1538728572.966 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728572.967 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1538728572.967 * [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
1538728572.967 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728572.967 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.967 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.967 * [misc]backup-simplify:  Simplify 0 into 0
1538728572.968 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728572.968 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728572.970 * [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))))))
1538728572.970 * [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))))))
1538728572.972 * [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)))))))))))
1538728572.972 * * * [misc]progress:  simplifying candidates
1538728572.972 * * * * [misc]progress:  [ 1 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1538728572.973 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1538728572.973 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728572.976 * * [misc]simplify:  iters left: 5 (21 enodes)
1538728572.982 * * [misc]simplify:  iters left: 4 (47 enodes)
1538728572.998 * * [misc]simplify:  iters left: 3 (109 enodes)
1538728573.082 * * [misc]simplify:  iters left: 2 (300 enodes)
1538728573.466 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1538728573.466 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k)))
1538728573.466 * * * * [misc]progress:  [ 2 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1538728573.466 * * * * [misc]progress:  [ 3 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1538728573.466 * [enter]simplify:  Simplifying (* PI (* n 2))
1538728573.467 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728573.469 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728573.474 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728573.479 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728573.484 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1538728573.484 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1538728573.484 * * * * [misc]progress:  [ 4 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1538728573.485 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538728573.485 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728573.489 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728573.494 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728573.500 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728573.506 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538728573.506 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1538728573.506 * * * * [misc]progress:  [ 5 / 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)))>
1538728573.507 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538728573.507 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728573.509 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728573.513 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728573.516 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538728573.516 * [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)))
1538728573.516 * * * * [misc]progress:  [ 6 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1538728573.516 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538728573.517 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728573.519 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728573.522 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728573.525 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538728573.525 * [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)))
1538728573.525 * * * * [misc]progress:  [ 7 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.526 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538728573.526 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728573.528 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728573.533 * * [misc]simplify:  iters left: 2 (10 enodes)
1538728573.536 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538728573.536 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))
1538728573.536 * * * * [misc]progress:  [ 8 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1538728573.536 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538728573.537 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728573.541 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728573.544 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728573.547 * * [misc]simplify:  iters left: 2 (22 enodes)
1538728573.551 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538728573.551 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1538728573.551 * * * * [misc]progress:  [ 9 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1538728573.551 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538728573.551 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728573.553 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728573.556 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728573.560 * * [misc]simplify:  iters left: 2 (22 enodes)
1538728573.564 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538728573.564 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1538728573.564 * * * * [misc]progress:  [ 10 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
1538728573.564 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538728573.565 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728573.567 * * [misc]simplify:  iters left: 4 (9 enodes)
1538728573.569 * * [misc]simplify:  iters left: 3 (12 enodes)
1538728573.571 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538728573.571 * [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)))
1538728573.571 * * * * [misc]progress:  [ 11 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 12 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 13 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 14 / 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)))>
1538728573.571 * * * * [misc]progress:  [ 15 / 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)))>
1538728573.571 * * * * [misc]progress:  [ 16 / 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)))>
1538728573.571 * * * * [misc]progress:  [ 17 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 18 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 19 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 20 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 21 / 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)))>
1538728573.571 * * * * [misc]progress:  [ 22 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 23 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 24 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 25 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 26 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1538728573.571 * * * * [misc]progress:  [ 27 / 77 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1538728573.572 * * * * [misc]progress:  [ 28 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1538728573.572 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1538728573.573 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728573.577 * * [misc]simplify:  iters left: 5 (26 enodes)
1538728573.584 * * [misc]simplify:  iters left: 4 (53 enodes)
1538728573.610 * * [misc]simplify:  iters left: 3 (137 enodes)
1538728573.720 * * [misc]simplify:  iters left: 2 (487 enodes)
1538728574.669 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1538728574.669 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1538728574.669 * * * * [misc]progress:  [ 29 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1538728574.669 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1538728574.670 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728574.674 * * [misc]simplify:  iters left: 5 (26 enodes)
1538728574.681 * * [misc]simplify:  iters left: 4 (53 enodes)
1538728574.699 * * [misc]simplify:  iters left: 3 (137 enodes)
1538728574.791 * * [misc]simplify:  iters left: 2 (487 enodes)
1538728575.714 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1538728575.714 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1538728575.715 * * * * [misc]progress:  [ 30 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1538728575.715 * [enter]simplify:  Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))
1538728575.716 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728575.723 * * [misc]simplify:  iters left: 5 (24 enodes)
1538728575.734 * * [misc]simplify:  iters left: 4 (42 enodes)
1538728575.749 * * [misc]simplify:  iters left: 3 (71 enodes)
1538728575.779 * * [misc]simplify:  iters left: 2 (208 enodes)
1538728576.116 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1538728576.116 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1538728576.116 * * * * [misc]progress:  [ 31 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538728576.117 * * * * [misc]progress:  [ 32 / 77 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538728576.117 * * * * [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)))))>
1538728576.117 * [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)))
1538728576.118 * * [misc]simplify:  iters left: 6 (16 enodes)
1538728576.122 * * [misc]simplify:  iters left: 5 (31 enodes)
1538728576.131 * * [misc]simplify:  iters left: 4 (67 enodes)
1538728576.151 * * [misc]simplify:  iters left: 3 (124 enodes)
1538728576.187 * * [misc]simplify:  iters left: 2 (195 enodes)
1538728576.265 * * [misc]simplify:  iters left: 1 (309 enodes)
1538728576.453 * [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))))
1538728576.453 * [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))))))
1538728576.453 * * * * [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)))))>
1538728576.454 * * * * [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)))))>
1538728576.454 * * * * [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)))))>
1538728576.454 * * * * [misc]progress:  [ 37 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1538728576.454 * * * * [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)))))>
1538728576.454 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728576.455 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728576.459 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728576.463 * * [misc]simplify:  iters left: 4 (25 enodes)
1538728576.467 * * [misc]simplify:  iters left: 3 (26 enodes)
1538728576.475 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728576.475 * [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)))))
1538728576.475 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1538728576.476 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728576.482 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728576.489 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728576.496 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728576.505 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1538728576.505 * [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)))))
1538728576.505 * * * * [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)))))>
1538728576.505 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1538728576.506 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728576.510 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728576.516 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728576.524 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728576.532 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1538728576.532 * [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)))))
1538728576.532 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1538728576.533 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728576.538 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728576.545 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728576.554 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728576.563 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1538728576.563 * [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)))))
1538728576.563 * * * * [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))))>
1538728576.563 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1538728576.564 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728576.568 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728576.575 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728576.581 * * [misc]simplify:  iters left: 3 (26 enodes)
1538728576.589 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1538728576.589 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1538728576.590 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1538728576.591 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728576.595 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728576.602 * * [misc]simplify:  iters left: 4 (23 enodes)
1538728576.609 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728576.617 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1538728576.617 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1538728576.617 * * * * [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)))))>
1538728576.618 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728576.619 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728576.624 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728576.631 * * [misc]simplify:  iters left: 4 (25 enodes)
1538728576.639 * * [misc]simplify:  iters left: 3 (26 enodes)
1538728576.647 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728576.648 * [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)))))
1538728576.648 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1538728576.649 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728576.654 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728576.661 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728576.669 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728576.677 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1538728576.677 * [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)))))
1538728576.677 * * * * [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)))))>
1538728576.677 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1538728576.680 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728576.684 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728576.690 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728576.698 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728576.702 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1538728576.702 * [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)))))
1538728576.703 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1538728576.704 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728576.706 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728576.709 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728576.713 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728576.717 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1538728576.717 * [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)))))
1538728576.717 * * * * [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))))>
1538728576.718 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1538728576.718 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728576.720 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728576.724 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728576.728 * * [misc]simplify:  iters left: 3 (26 enodes)
1538728576.731 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1538728576.731 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1538728576.731 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1538728576.732 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728576.734 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728576.740 * * [misc]simplify:  iters left: 4 (23 enodes)
1538728576.748 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728576.756 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1538728576.756 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1538728576.756 * * * * [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)))))>
1538728576.756 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728576.758 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728576.762 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728576.767 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728576.774 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728576.774 * [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)))))
1538728576.774 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538728576.777 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728576.781 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728576.785 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728576.791 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538728576.791 * [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)))))
1538728576.791 * * * * [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)))))>
1538728576.792 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538728576.793 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728576.796 * * [misc]simplify:  iters left: 5 (12 enodes)
1538728576.800 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728576.806 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538728576.806 * [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)))))
1538728576.806 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538728576.807 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728576.811 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728576.816 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728576.821 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538728576.821 * [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)))))
1538728576.821 * * * * [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))))>
1538728576.822 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1)
1538728576.822 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728576.826 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728576.831 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728576.836 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538728576.836 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1538728576.836 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1538728576.837 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728576.841 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728576.845 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728576.851 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1538728576.851 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1538728576.851 * * * * [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)))))>
1538728576.851 * [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))))
1538728576.852 * * [misc]simplify:  iters left: 6 (16 enodes)
1538728576.856 * * [misc]simplify:  iters left: 5 (28 enodes)
1538728576.862 * * [misc]simplify:  iters left: 4 (46 enodes)
1538728576.870 * * [misc]simplify:  iters left: 3 (50 enodes)
1538728576.877 * * [misc]simplify:  iters left: 2 (53 enodes)
1538728576.897 * [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))))
1538728576.897 * [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)))))
1538728576.897 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538728576.899 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728576.904 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728576.912 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728576.921 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728576.931 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538728576.931 * [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)))))
1538728576.932 * * * * [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)))))>
1538728576.932 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1538728576.933 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728576.936 * * [misc]simplify:  iters left: 5 (23 enodes)
1538728576.941 * * [misc]simplify:  iters left: 4 (34 enodes)
1538728576.947 * * [misc]simplify:  iters left: 3 (37 enodes)
1538728576.954 * [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))))))
1538728576.954 * [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)))))
1538728576.954 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538728576.956 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728576.958 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728576.962 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728576.967 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728576.972 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538728576.972 * [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)))))
1538728576.972 * * * * [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))))>
1538728576.973 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)
1538728576.975 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728576.981 * * [misc]simplify:  iters left: 5 (24 enodes)
1538728576.992 * * [misc]simplify:  iters left: 4 (39 enodes)
1538728577.001 * * [misc]simplify:  iters left: 3 (54 enodes)
1538728577.012 * * [misc]simplify:  iters left: 2 (80 enodes)
1538728577.024 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1538728577.024 * [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))))
1538728577.024 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1538728577.025 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728577.028 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728577.033 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728577.042 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728577.052 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1538728577.053 * [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))))
1538728577.053 * * * * [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)))))>
1538728577.053 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728577.054 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728577.062 * * [misc]simplify:  iters left: 5 (23 enodes)
1538728577.071 * * [misc]simplify:  iters left: 4 (32 enodes)
1538728577.084 * * [misc]simplify:  iters left: 3 (34 enodes)
1538728577.092 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728577.092 * [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)))))
1538728577.092 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538728577.093 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728577.096 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728577.100 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728577.104 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728577.110 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538728577.110 * [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)))))
1538728577.110 * * * * [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)))))>
1538728577.110 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538728577.111 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728577.114 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728577.119 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728577.123 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728577.133 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538728577.133 * [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)))))
1538728577.134 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538728577.135 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728577.141 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728577.148 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728577.158 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728577.168 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538728577.168 * [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)))))
1538728577.168 * * * * [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))))>
1538728577.168 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)
1538728577.169 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728577.175 * * [misc]simplify:  iters left: 5 (21 enodes)
1538728577.186 * * [misc]simplify:  iters left: 4 (32 enodes)
1538728577.196 * * [misc]simplify:  iters left: 3 (33 enodes)
1538728577.205 * [exit]simplify:  Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))
1538728577.205 * [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))))
1538728577.206 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1538728577.207 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728577.212 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728577.220 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728577.229 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728577.240 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1538728577.240 * [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))))
1538728577.240 * * * * [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)))))>
1538728577.240 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538728577.241 * * [misc]simplify:  iters left: 6 (6 enodes)
1538728577.244 * * [misc]simplify:  iters left: 5 (10 enodes)
1538728577.248 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1538728577.248 * [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)))))
1538728577.248 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538728577.249 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728577.255 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728577.263 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728577.272 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728577.282 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538728577.282 * [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)))))
1538728577.282 * * * * [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)))))>
1538728577.283 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1538728577.283 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728577.285 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728577.287 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1538728577.287 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538728577.287 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538728577.289 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728577.294 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728577.303 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728577.312 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728577.324 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538728577.324 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538728577.324 * * * * [misc]progress:  [ 55 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1538728577.324 * [enter]simplify:  Simplifying (/ 1 1)
1538728577.325 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728577.326 * * [misc]simplify:  iters left: 1 (4 enodes)
1538728577.326 * [exit]simplify:  Simplified to 1
1538728577.326 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))
1538728577.327 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1538728577.328 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728577.333 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728577.341 * * [misc]simplify:  iters left: 4 (27 enodes)
1538728577.350 * * [misc]simplify:  iters left: 3 (29 enodes)
1538728577.360 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))
1538728577.360 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))
1538728577.360 * * * * [misc]progress:  [ 56 / 77 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1538728577.360 * * * * [misc]progress:  [ 57 / 77 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1538728577.360 * * * * [misc]progress:  [ 58 / 77 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728577.361 * * * * [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))))>
1538728577.361 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1538728577.361 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728577.362 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1538728577.363 * [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))))
1538728577.363 * * * * [misc]progress:  [ 60 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1538728577.363 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538728577.363 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728577.364 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538728577.364 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1538728577.364 * * * * [misc]progress:  [ 61 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1538728577.365 * [enter]simplify:  Simplifying (sqrt k)
1538728577.365 * * [misc]simplify:  iters left: 1 (2 enodes)
1538728577.365 * [exit]simplify:  Simplified to (sqrt k)
1538728577.365 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))
1538728577.366 * * * * [misc]progress:  [ 62 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538728577.366 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538728577.366 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728577.370 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728577.375 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728577.381 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728577.387 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538728577.387 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1538728577.388 * * * * [misc]progress:  [ 63 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538728577.388 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538728577.389 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728577.392 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728577.397 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728577.403 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728577.409 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538728577.409 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1538728577.410 * * * * [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))))))>
1538728577.410 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538728577.410 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728577.413 * * [misc]simplify:  iters left: 4 (9 enodes)
1538728577.417 * * [misc]simplify:  iters left: 3 (12 enodes)
1538728577.421 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538728577.421 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1538728577.421 * * * * [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)))))))>
1538728577.422 * [enter]simplify:  Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728577.423 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728577.428 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728577.436 * * [misc]simplify:  iters left: 4 (27 enodes)
1538728577.444 * * [misc]simplify:  iters left: 3 (29 enodes)
1538728577.455 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1538728577.455 * [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)))))))
1538728577.455 * * * * [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)))))))>
1538728577.455 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728577.458 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728577.463 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728577.471 * * [misc]simplify:  iters left: 4 (26 enodes)
1538728577.479 * * [misc]simplify:  iters left: 3 (27 enodes)
1538728577.488 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1538728577.488 * [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)))))))
1538728577.488 * * * * [misc]progress:  [ 67 / 77 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728577.488 * * * * [misc]progress:  [ 68 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538728577.488 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538728577.489 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728577.492 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728577.498 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728577.504 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728577.510 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538728577.510 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538728577.510 * * * * [misc]progress:  [ 69 / 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)))>
1538728577.511 * [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)))))
1538728577.515 * * [misc]simplify:  iters left: 6 (37 enodes)
1538728577.542 * * [misc]simplify:  iters left: 5 (105 enodes)
1538728577.607 * * [misc]simplify:  iters left: 4 (339 enodes)
1538728578.044 * [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)))))
1538728578.044 * [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)))
1538728578.044 * * * * [misc]progress:  [ 70 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1538728578.044 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1538728578.047 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728578.056 * * [misc]simplify:  iters left: 5 (33 enodes)
1538728578.072 * * [misc]simplify:  iters left: 4 (64 enodes)
1538728578.111 * * [misc]simplify:  iters left: 3 (171 enodes)
1538728578.317 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))
1538728578.317 * [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)))
1538728578.317 * * * * [misc]progress:  [ 71 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1538728578.318 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1538728578.319 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728578.328 * * [misc]simplify:  iters left: 5 (30 enodes)
1538728578.346 * * [misc]simplify:  iters left: 4 (65 enodes)
1538728578.386 * * [misc]simplify:  iters left: 3 (200 enodes)
1538728578.693 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))
1538728578.693 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k)))
1538728578.693 * * * * [misc]progress:  [ 72 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538728578.694 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728578.694 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728578.697 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728578.701 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728578.706 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728578.710 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728578.710 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538728578.710 * * * * [misc]progress:  [ 73 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538728578.710 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728578.711 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728578.712 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728578.715 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728578.717 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728578.720 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728578.720 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538728578.720 * * * * [misc]progress:  [ 74 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538728578.720 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728578.720 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728578.722 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728578.724 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728578.727 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728578.731 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728578.731 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538728578.731 * * * * [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)))))))))))))))))))))))>
1538728578.731 * [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))))))))))))))))))))))
1538728578.731 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728578.731 * * * * [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)))))))))>
1538728578.732 * [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))))))))
1538728578.732 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728578.732 * * * * [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))))))))))))>
1538728578.732 * [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)))))))))))
1538728578.732 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728578.732 * * * [misc]progress:  adding candidates to table
1538728580.402 * * [misc]progress:  iteration 2 / 4
1538728580.402 * * * [misc]progress:  picking best candidate
1538728580.515 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728580.515 * * * [misc]progress:  localizing error
1538728580.531 * * * [misc]progress:  generating rewritten candidates
1538728580.531 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
1538728580.566 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1)
1538728580.588 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
1538728580.661 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1538728580.731 * * * [misc]progress:  generating series expansions
1538728580.731 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
1538728580.732 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1538728580.732 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1538728580.732 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.732 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.732 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.732 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.732 * [misc]taylor:  Taking taylor expansion of k in k
1538728580.732 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.732 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.732 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728580.732 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.732 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728580.732 * [misc]taylor:  Taking taylor expansion of n in k
1538728580.732 * [misc]backup-simplify:  Simplify n into n
1538728580.732 * [misc]taylor:  Taking taylor expansion of PI in k
1538728580.732 * [misc]backup-simplify:  Simplify PI into PI
1538728580.732 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728580.732 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728580.732 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728580.733 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728580.733 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.733 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728580.734 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728580.734 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728580.734 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.734 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.734 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.734 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.734 * [misc]taylor:  Taking taylor expansion of k in n
1538728580.734 * [misc]backup-simplify:  Simplify k into k
1538728580.734 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.734 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.734 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728580.734 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.734 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.734 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.734 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.734 * [misc]backup-simplify:  Simplify PI into PI
1538728580.735 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728580.735 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728580.736 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728580.736 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728580.737 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728580.737 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728580.737 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728580.737 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728580.738 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728580.739 * [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))))
1538728580.740 * [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)))))
1538728580.740 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.740 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.740 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.740 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.740 * [misc]taylor:  Taking taylor expansion of k in n
1538728580.740 * [misc]backup-simplify:  Simplify k into k
1538728580.740 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.740 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.740 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728580.740 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.740 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.740 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.740 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.740 * [misc]backup-simplify:  Simplify PI into PI
1538728580.741 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728580.741 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728580.742 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728580.742 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728580.743 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728580.743 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728580.743 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728580.743 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728580.744 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728580.745 * [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))))
1538728580.745 * [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)))))
1538728580.746 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.746 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.746 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.746 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.746 * [misc]taylor:  Taking taylor expansion of k in k
1538728580.746 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.746 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.746 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of n in k
1538728580.746 * [misc]backup-simplify:  Simplify n into n
1538728580.746 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728580.746 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728580.746 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728580.746 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.746 * [misc]taylor:  Taking taylor expansion of PI in k
1538728580.746 * [misc]backup-simplify:  Simplify PI into PI
1538728580.747 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728580.747 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728580.747 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728580.747 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.748 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728580.748 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728580.749 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538728580.749 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538728580.750 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538728580.751 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728580.753 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728580.756 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728580.756 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538728580.756 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.756 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.757 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728580.758 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538728580.760 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728580.760 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.760 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.760 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.766 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538728580.767 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728580.770 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728580.770 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.771 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728580.771 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728580.771 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728580.772 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538728580.774 * [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)))))))
1538728580.776 * [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)))))))
1538728580.778 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728580.779 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538728580.783 * [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
1538728580.783 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538728580.783 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.783 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.784 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728580.784 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728580.786 * [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
1538728580.786 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.786 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.786 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.786 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.787 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538728580.788 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728580.792 * [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
1538728580.792 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.792 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728580.792 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.792 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.793 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728580.796 * [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)))))
1538728580.798 * [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)))))
1538728580.803 * [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)))))
1538728580.804 * [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))))
1538728580.804 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1538728580.804 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.804 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.804 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.804 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.804 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of k in k
1538728580.804 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.804 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.804 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728580.804 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728580.804 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.804 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728580.804 * [misc]taylor:  Taking taylor expansion of PI in k
1538728580.804 * [misc]backup-simplify:  Simplify PI into PI
1538728580.804 * [misc]taylor:  Taking taylor expansion of n in k
1538728580.804 * [misc]backup-simplify:  Simplify n into n
1538728580.804 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728580.804 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728580.804 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728580.805 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728580.805 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728580.805 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728580.805 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728580.805 * [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))))
1538728580.805 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.805 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.805 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.805 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.805 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of k in n
1538728580.805 * [misc]backup-simplify:  Simplify k into k
1538728580.805 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728580.805 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.805 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.805 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.805 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.805 * [misc]backup-simplify:  Simplify PI into PI
1538728580.805 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.805 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.805 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.806 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.806 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728580.806 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728580.806 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728580.806 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728580.807 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728580.807 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728580.808 * [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)))
1538728580.808 * [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))))
1538728580.808 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.808 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.808 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.808 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.808 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of k in n
1538728580.808 * [misc]backup-simplify:  Simplify k into k
1538728580.808 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728580.808 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.808 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.808 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.808 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.808 * [misc]backup-simplify:  Simplify PI into PI
1538728580.808 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.808 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.808 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.809 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.809 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728580.809 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728580.809 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728580.809 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728580.809 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728580.810 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728580.810 * [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)))
1538728580.811 * [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))))
1538728580.811 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.811 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.811 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.811 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.811 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of k in k
1538728580.811 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.811 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.811 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728580.811 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728580.811 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728580.811 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.811 * [misc]taylor:  Taking taylor expansion of PI in k
1538728580.811 * [misc]backup-simplify:  Simplify PI into PI
1538728580.812 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728580.812 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728580.812 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728580.812 * [misc]taylor:  Taking taylor expansion of n in k
1538728580.812 * [misc]backup-simplify:  Simplify n into n
1538728580.812 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728580.812 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728580.812 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728580.812 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728580.812 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728580.813 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538728580.813 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538728580.814 * [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))))
1538728580.814 * [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))))
1538728580.815 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728580.815 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728580.817 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728580.817 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728580.818 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728580.818 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.818 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.818 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728580.819 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538728580.820 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728580.820 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.820 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.820 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.820 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.821 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.822 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728580.826 * [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
1538728580.826 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728580.826 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728580.826 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.826 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.827 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728580.827 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538728580.829 * [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
1538728580.829 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.829 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.829 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.829 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.829 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.830 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.831 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728580.839 * [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
1538728580.839 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728580.840 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538728580.840 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728580.840 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.841 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728580.842 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538728580.846 * [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
1538728580.846 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.846 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.846 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.847 * [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)))))
1538728580.847 * [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))
1538728580.848 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1538728580.848 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.848 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.848 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of k in k
1538728580.848 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.848 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.848 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728580.848 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.848 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.848 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728580.848 * [misc]backup-simplify:  Simplify -2 into -2
1538728580.848 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728580.848 * [misc]taylor:  Taking taylor expansion of PI in k
1538728580.848 * [misc]backup-simplify:  Simplify PI into PI
1538728580.848 * [misc]taylor:  Taking taylor expansion of n in k
1538728580.848 * [misc]backup-simplify:  Simplify n into n
1538728580.849 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728580.849 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728580.849 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728580.849 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728580.849 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728580.849 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728580.850 * [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)))
1538728580.850 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.850 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.850 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of k in n
1538728580.850 * [misc]backup-simplify:  Simplify k into k
1538728580.850 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728580.850 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.850 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.850 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728580.850 * [misc]backup-simplify:  Simplify -2 into -2
1538728580.850 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.850 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.850 * [misc]backup-simplify:  Simplify PI into PI
1538728580.850 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.850 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.850 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.851 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.851 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728580.852 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728580.852 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728580.852 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728580.853 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728580.854 * [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)))
1538728580.855 * [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))))
1538728580.855 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.855 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.855 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of k in n
1538728580.855 * [misc]backup-simplify:  Simplify k into k
1538728580.855 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728580.855 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728580.855 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.855 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728580.855 * [misc]backup-simplify:  Simplify -2 into -2
1538728580.855 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.855 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.855 * [misc]backup-simplify:  Simplify PI into PI
1538728580.855 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.855 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.855 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.856 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.856 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728580.856 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728580.857 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728580.857 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728580.857 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728580.858 * [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)))
1538728580.859 * [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))))
1538728580.859 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538728580.859 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538728580.859 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728580.859 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728580.859 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.859 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.859 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728580.859 * [misc]taylor:  Taking taylor expansion of k in k
1538728580.859 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.859 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.860 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728580.860 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728580.860 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728580.860 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538728580.860 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538728580.860 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538728580.860 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728580.860 * [misc]backup-simplify:  Simplify -2 into -2
1538728580.860 * [misc]taylor:  Taking taylor expansion of PI in k
1538728580.860 * [misc]backup-simplify:  Simplify PI into PI
1538728580.860 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728580.861 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728580.861 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728580.861 * [misc]taylor:  Taking taylor expansion of n in k
1538728580.861 * [misc]backup-simplify:  Simplify n into n
1538728580.861 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728580.861 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728580.861 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728580.861 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728580.862 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538728580.863 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538728580.863 * [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))))
1538728580.864 * [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))))
1538728580.865 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728580.866 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728580.869 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538728580.870 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728580.870 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728580.870 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.871 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728580.871 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538728580.873 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728580.873 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.873 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.873 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.873 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.875 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.876 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728580.883 * [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
1538728580.883 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728580.884 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728580.884 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.885 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728580.886 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538728580.888 * [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
1538728580.888 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.888 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.888 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.888 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.888 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.893 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.895 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728580.905 * [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
1538728580.905 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728580.906 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538728580.906 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728580.907 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728580.908 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1538728580.912 * [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
1538728580.912 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728580.912 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.912 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.914 * [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)))))
1538728580.914 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2 1)
1538728580.914 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538728580.914 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538728580.914 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728580.914 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.914 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.914 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728580.914 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.914 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.914 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.914 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.914 * [misc]backup-simplify:  Simplify PI into PI
1538728580.915 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728580.915 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.915 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.915 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728580.915 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.915 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.915 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.915 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.915 * [misc]backup-simplify:  Simplify PI into PI
1538728580.915 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728580.915 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728580.915 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.916 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728580.917 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728580.917 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728580.919 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728580.920 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728580.920 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.922 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728580.923 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538728580.923 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.926 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728580.928 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538728580.928 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.931 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728580.935 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538728580.935 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.939 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728580.943 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538728580.943 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.947 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538728580.952 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538728580.952 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.953 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538728580.953 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538728580.953 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538728580.953 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728580.953 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.953 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.953 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.953 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.953 * [misc]backup-simplify:  Simplify PI into PI
1538728580.953 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.953 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.953 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.954 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.954 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728580.954 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728580.954 * [misc]backup-simplify:  Simplify 2 into 2
1538728580.954 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.954 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.954 * [misc]backup-simplify:  Simplify PI into PI
1538728580.954 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.954 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.954 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.954 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.955 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728580.955 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728580.956 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728580.957 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728580.957 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.958 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.959 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728580.960 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.961 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.963 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728580.963 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.965 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.967 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728580.967 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.970 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.973 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728580.973 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.976 * [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
1538728580.979 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728580.979 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.980 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538728580.980 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538728580.980 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538728580.980 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728580.980 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728580.980 * [misc]backup-simplify:  Simplify -2 into -2
1538728580.980 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.980 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.980 * [misc]backup-simplify:  Simplify PI into PI
1538728580.980 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.980 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.980 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.981 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.981 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728580.981 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728580.981 * [misc]backup-simplify:  Simplify -2 into -2
1538728580.981 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728580.981 * [misc]taylor:  Taking taylor expansion of PI in n
1538728580.981 * [misc]backup-simplify:  Simplify PI into PI
1538728580.981 * [misc]taylor:  Taking taylor expansion of n in n
1538728580.981 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.981 * [misc]backup-simplify:  Simplify 1 into 1
1538728580.981 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728580.982 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728580.982 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728580.983 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728580.984 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728580.984 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.985 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.986 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728580.986 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.988 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.990 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728580.990 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.992 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728580.994 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728580.995 * [misc]backup-simplify:  Simplify 0 into 0
1538728580.997 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728581.000 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728581.000 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.002 * [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
1538728581.006 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728581.006 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.006 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538728581.006 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
1538728581.007 * [misc]backup-simplify:  Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
1538728581.007 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1538728581.007 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.007 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.007 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.007 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.007 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.007 * [misc]backup-simplify:  Simplify k into k
1538728581.007 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.007 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.007 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.007 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.007 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.007 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.007 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.007 * [misc]backup-simplify:  Simplify PI into PI
1538728581.008 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.008 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728581.008 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.009 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728581.009 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.009 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728581.009 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728581.009 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728581.010 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.010 * [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))))
1538728581.011 * [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)))))
1538728581.011 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
1538728581.011 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538728581.011 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.011 * [misc]backup-simplify:  Simplify k into k
1538728581.011 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538728581.011 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538728581.011 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.011 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.011 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.011 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.011 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.011 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.011 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.011 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.011 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.011 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728581.011 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.012 * [misc]backup-simplify:  Simplify n into n
1538728581.012 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.012 * [misc]backup-simplify:  Simplify PI into PI
1538728581.012 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728581.012 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728581.012 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728581.012 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728581.012 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.012 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.012 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728581.012 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728581.013 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1538728581.013 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.013 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.013 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.013 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.013 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.013 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.013 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.013 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.013 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.013 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.013 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.013 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.013 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.013 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.013 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728581.013 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.013 * [misc]backup-simplify:  Simplify n into n
1538728581.013 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.013 * [misc]backup-simplify:  Simplify PI into PI
1538728581.014 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728581.014 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728581.014 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728581.014 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728581.014 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.014 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.014 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728581.014 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728581.014 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1538728581.015 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728581.015 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.015 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.015 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.015 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.015 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.015 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1538728581.015 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728581.015 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.015 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.016 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538728581.016 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538728581.017 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538728581.017 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728581.017 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728581.017 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728581.017 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1538728581.018 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1538728581.020 * [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
1538728581.021 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
1538728581.021 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1538728581.021 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1538728581.021 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.021 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.021 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1538728581.021 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1538728581.021 * [misc]taylor:  Taking taylor expansion of (/ 1 (* n PI)) in n
1538728581.021 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.021 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.021 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.021 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.021 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.021 * [misc]backup-simplify:  Simplify PI into PI
1538728581.022 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.022 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.022 * [misc]backup-simplify:  Simplify (/ 1 PI) into (/ 1 PI)
1538728581.022 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.023 * [misc]backup-simplify:  Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1538728581.023 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538728581.023 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.023 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.023 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538728581.023 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538728581.024 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538728581.024 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538728581.025 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538728581.026 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538728581.027 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538728581.027 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.027 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728581.028 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538728581.028 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1538728581.031 * [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
1538728581.031 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728581.031 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.031 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.032 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1538728581.033 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1538728581.045 * [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
1538728581.058 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
1538728581.058 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
1538728581.058 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
1538728581.058 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
1538728581.058 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.058 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.058 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1538728581.058 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1538728581.058 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728581.058 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.058 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.058 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728581.059 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728581.059 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1538728581.059 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728581.059 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728581.059 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.059 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.059 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.059 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.059 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.059 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.059 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.059 * [misc]backup-simplify:  Simplify PI into PI
1538728581.059 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.060 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728581.060 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.061 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728581.062 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.062 * [misc]taylor:  Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1538728581.062 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538728581.062 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.062 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.062 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538728581.062 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538728581.062 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1538728581.062 * [misc]taylor:  Taking taylor expansion of (/ 1 (* n PI)) in n
1538728581.062 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.062 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.062 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.062 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.062 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.062 * [misc]backup-simplify:  Simplify PI into PI
1538728581.063 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.063 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.064 * [misc]backup-simplify:  Simplify (/ 1 PI) into (/ 1 PI)
1538728581.064 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.065 * [misc]backup-simplify:  Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1538728581.065 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1538728581.065 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1538728581.065 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.065 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.065 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1538728581.065 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1538728581.065 * [misc]taylor:  Taking taylor expansion of (/ 1 (* n PI)) in n
1538728581.065 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.065 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.065 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.065 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.065 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.065 * [misc]backup-simplify:  Simplify PI into PI
1538728581.065 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.066 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.066 * [misc]backup-simplify:  Simplify (/ 1 PI) into (/ 1 PI)
1538728581.067 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.067 * [misc]backup-simplify:  Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1538728581.067 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538728581.067 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.067 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.068 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538728581.068 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538728581.069 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.069 * [misc]backup-simplify:  Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1538728581.071 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
1538728581.072 * [misc]backup-simplify:  Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
1538728581.073 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.073 * [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1538728581.074 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728581.076 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728581.079 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728581.081 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1538728581.082 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1538728581.086 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1538728581.088 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1538728581.099 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1538728581.101 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538728581.101 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538728581.103 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538728581.105 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538728581.116 * [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1538728581.130 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1538728581.140 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1538728581.141 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1538728581.142 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728581.143 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1538728581.144 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1538728581.146 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1538728581.149 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1538728581.150 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1538728581.152 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1538728581.166 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1538728581.166 * [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
1538728581.166 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1538728581.167 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.167 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.167 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.167 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.167 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.167 * [misc]backup-simplify:  Simplify k into k
1538728581.167 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.167 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.167 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.167 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.167 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.167 * [misc]backup-simplify:  Simplify PI into PI
1538728581.167 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.167 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.167 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.167 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.168 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.168 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.168 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.168 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.169 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.169 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.170 * [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)))
1538728581.171 * [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))))
1538728581.172 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1538728581.172 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538728581.172 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.172 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.172 * [misc]backup-simplify:  Simplify k into k
1538728581.172 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.172 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538728581.172 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728581.172 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538728581.172 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538728581.172 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728581.172 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728581.172 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728581.172 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728581.172 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728581.172 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.172 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.172 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.172 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.173 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.173 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.173 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.173 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.173 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.173 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.173 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728581.173 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728581.173 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.173 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.173 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.173 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.173 * [misc]backup-simplify:  Simplify PI into PI
1538728581.173 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.173 * [misc]backup-simplify:  Simplify n into n
1538728581.173 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.173 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728581.173 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728581.174 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.174 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728581.174 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728581.174 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728581.174 * [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))))
1538728581.175 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1538728581.175 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728581.175 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.175 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.175 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.175 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.175 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.175 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.176 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.176 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.176 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.176 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.176 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.176 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.176 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.176 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.176 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.176 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728581.176 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.176 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.177 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.177 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.177 * [misc]backup-simplify:  Simplify PI into PI
1538728581.177 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.177 * [misc]backup-simplify:  Simplify n into n
1538728581.177 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.177 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728581.177 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728581.177 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.177 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728581.178 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728581.178 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728581.178 * [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))))
1538728581.178 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1538728581.178 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728581.178 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.178 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.179 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.179 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.179 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.179 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.179 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.180 * [misc]backup-simplify:  Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1538728581.180 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728581.180 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.180 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.181 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1538728581.181 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728581.181 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.181 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.181 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.181 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.181 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.181 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.182 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.182 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.182 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.182 * [misc]backup-simplify:  Simplify k into k
1538728581.182 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.182 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.182 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.182 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.182 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.182 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.182 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.182 * [misc]backup-simplify:  Simplify PI into PI
1538728581.182 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.182 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.182 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.182 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.183 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.183 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.183 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.183 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.183 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.184 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.185 * [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)))
1538728581.186 * [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))))
1538728581.187 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1538728581.187 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (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)))))
1538728581.188 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1538728581.189 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1538728581.189 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.190 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728581.191 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728581.192 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1538728581.192 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728581.192 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728581.192 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728581.192 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.192 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.192 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.192 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.192 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.192 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.192 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.193 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.193 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.193 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.193 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.193 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.193 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.193 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.193 * [misc]backup-simplify:  Simplify k into k
1538728581.193 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.193 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.193 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.193 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.193 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.193 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.193 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.193 * [misc]backup-simplify:  Simplify PI into PI
1538728581.193 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.193 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.193 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.193 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.194 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.194 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.194 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.194 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.195 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.195 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.196 * [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)))
1538728581.197 * [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))))
1538728581.198 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1538728581.198 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (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)))))
1538728581.199 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1538728581.200 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1538728581.202 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728581.202 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728581.206 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728581.207 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728581.207 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728581.207 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.207 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.208 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.209 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538728581.210 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728581.212 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1538728581.213 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1538728581.213 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.213 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.214 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.214 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728581.215 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728581.217 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1538728581.217 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728581.217 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728581.217 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728581.217 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.217 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.218 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.218 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.218 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.218 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.218 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.218 * [misc]backup-simplify:  Simplify k into k
1538728581.218 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.218 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.218 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.218 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.218 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.218 * [misc]backup-simplify:  Simplify PI into PI
1538728581.218 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.218 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.218 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.219 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.219 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.220 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.220 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.220 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.220 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.221 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.221 * [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)))
1538728581.222 * [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))))
1538728581.223 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1538728581.224 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (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)))))
1538728581.225 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1538728581.226 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1538728581.229 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1538728581.230 * [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
1538728581.230 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1538728581.230 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728581.230 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538728581.230 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538728581.230 * [misc]taylor:  Taking taylor expansion of -1 in n
1538728581.230 * [misc]backup-simplify:  Simplify -1 into -1
1538728581.230 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.230 * [misc]backup-simplify:  Simplify k into k
1538728581.230 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538728581.231 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538728581.231 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538728581.231 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538728581.231 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.231 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728581.231 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728581.231 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.231 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.231 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.231 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.231 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.231 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.231 * [misc]backup-simplify:  Simplify k into k
1538728581.231 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.231 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.231 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.231 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.232 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.232 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.232 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.232 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.232 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.232 * [misc]backup-simplify:  Simplify PI into PI
1538728581.232 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.232 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.232 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.232 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.233 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.233 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.233 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.233 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.234 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.235 * [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)))
1538728581.236 * [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))))
1538728581.237 * [misc]backup-simplify:  Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1538728581.237 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538728581.237 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728581.237 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728581.237 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728581.237 * [misc]backup-simplify:  Simplify -1 into -1
1538728581.237 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.237 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.237 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.237 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728581.237 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.238 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728581.238 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.238 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.238 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.238 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.238 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.238 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.238 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.238 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.238 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728581.238 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728581.238 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.238 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.239 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.239 * [misc]backup-simplify:  Simplify PI into PI
1538728581.239 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.239 * [misc]backup-simplify:  Simplify n into n
1538728581.239 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.239 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728581.239 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728581.239 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.239 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.240 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728581.240 * [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)))
1538728581.240 * [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1538728581.240 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538728581.240 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728581.240 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728581.240 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728581.240 * [misc]backup-simplify:  Simplify -1 into -1
1538728581.240 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.240 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.241 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.241 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728581.241 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.241 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728581.241 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728581.241 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538728581.241 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538728581.241 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728581.241 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.242 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.242 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.242 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.242 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.242 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.242 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.242 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.242 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.242 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.242 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728581.242 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728581.242 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728581.242 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.242 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.242 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.242 * [misc]backup-simplify:  Simplify PI into PI
1538728581.242 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.242 * [misc]backup-simplify:  Simplify n into n
1538728581.242 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.242 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728581.243 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728581.243 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.243 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.243 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728581.243 * [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)))
1538728581.244 * [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1538728581.244 * [misc]taylor:  Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728581.244 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.244 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.244 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728581.244 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.244 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.244 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.244 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.244 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.244 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.244 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.244 * [misc]backup-simplify:  Simplify PI into PI
1538728581.244 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.244 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.244 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.245 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.245 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.246 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.246 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.246 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.246 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.246 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.246 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.246 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.246 * [misc]backup-simplify:  Simplify k into k
1538728581.246 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.246 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.246 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.247 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.247 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.247 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.248 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538728581.248 * [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))))
1538728581.249 * [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)))))
1538728581.250 * [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)))))
1538728581.251 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538728581.252 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728581.253 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1538728581.253 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.253 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.253 * [misc]taylor:  Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.253 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.253 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.253 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.253 * [misc]backup-simplify:  Simplify PI into PI
1538728581.253 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.253 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.254 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.254 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.254 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.255 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.255 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.255 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.255 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.255 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.255 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.255 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.255 * [misc]backup-simplify:  Simplify k into k
1538728581.255 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.255 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.255 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.256 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.256 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.256 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.257 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538728581.258 * [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))))
1538728581.258 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1538728581.259 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (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)))))
1538728581.260 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1538728581.261 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1538728581.262 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.262 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728581.262 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728581.263 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.264 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728581.265 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728581.268 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538728581.269 * [misc]backup-simplify:  Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1538728581.271 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728581.273 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1538728581.274 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.274 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728581.275 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728581.277 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1538728581.277 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.278 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.278 * [misc]taylor:  Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.278 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.278 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.278 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.278 * [misc]backup-simplify:  Simplify PI into PI
1538728581.278 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.278 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.278 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.278 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.279 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.279 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.279 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.279 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.279 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.279 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.279 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.279 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.279 * [misc]backup-simplify:  Simplify k into k
1538728581.279 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.280 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.280 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.280 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.280 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.280 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.281 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538728581.282 * [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))))
1538728581.283 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1538728581.284 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (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)))))
1538728581.285 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1538728581.286 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1538728581.290 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1538728581.290 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1538728581.291 * [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1538728581.291 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1538728581.291 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.291 * [misc]backup-simplify:  Simplify k into k
1538728581.291 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.291 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538728581.291 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728581.291 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538728581.291 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.291 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.291 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.291 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.291 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.291 * [misc]backup-simplify:  Simplify k into k
1538728581.291 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728581.291 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728581.292 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.292 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.292 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.292 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.292 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.292 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.292 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.292 * [misc]backup-simplify:  Simplify PI into PI
1538728581.292 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.292 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728581.293 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.294 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728581.294 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.295 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728581.295 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728581.295 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728581.295 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.296 * [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))))
1538728581.297 * [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)))))
1538728581.297 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538728581.297 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728581.299 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.299 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.299 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.299 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.299 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.300 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.300 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.300 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538728581.300 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538728581.300 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538728581.300 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728581.300 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.300 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.300 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728581.300 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.300 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.300 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.300 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.301 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.301 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728581.301 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728581.301 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.301 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.301 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728581.301 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.301 * [misc]backup-simplify:  Simplify n into n
1538728581.301 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.301 * [misc]backup-simplify:  Simplify PI into PI
1538728581.301 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728581.301 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728581.301 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728581.301 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728581.302 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.302 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.302 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728581.302 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728581.302 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538728581.302 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728581.302 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.302 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.302 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.302 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.303 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.303 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.303 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.303 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538728581.303 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538728581.303 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538728581.303 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728581.303 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.303 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.304 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728581.304 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.304 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.304 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.304 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.304 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.304 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728581.304 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728581.304 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.304 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.304 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728581.304 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.304 * [misc]backup-simplify:  Simplify n into n
1538728581.304 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.304 * [misc]backup-simplify:  Simplify PI into PI
1538728581.304 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728581.304 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728581.304 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728581.305 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728581.305 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.305 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.305 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728581.305 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728581.306 * [misc]backup-simplify:  Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1538728581.306 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728581.306 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.306 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.306 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538728581.307 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538728581.308 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538728581.308 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728581.309 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728581.309 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728581.309 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1538728581.310 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1538728581.311 * [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1538728581.311 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538728581.311 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728581.311 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.311 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.311 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728581.311 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728581.311 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.311 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.312 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728581.312 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728581.312 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728581.312 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.312 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.312 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.312 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.312 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.312 * [misc]backup-simplify:  Simplify PI into PI
1538728581.312 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.313 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.313 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.314 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728581.314 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728581.314 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728581.314 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.314 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.314 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.315 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538728581.316 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1538728581.319 * [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
1538728581.319 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728581.319 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.320 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.320 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1538728581.323 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1538728581.323 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728581.324 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728581.326 * [misc]backup-simplify:  Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1538728581.326 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1538728581.327 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1538728581.327 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538728581.327 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.327 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.327 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538728581.327 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538728581.327 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728581.327 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.327 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.327 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728581.327 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728581.328 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728581.328 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728581.328 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.328 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.328 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.328 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.328 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.328 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.328 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.328 * [misc]backup-simplify:  Simplify PI into PI
1538728581.328 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.329 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728581.329 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.330 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728581.331 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.331 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728581.331 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.331 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.331 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.331 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.331 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.331 * [misc]backup-simplify:  Simplify PI into PI
1538728581.331 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.332 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.332 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.333 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728581.333 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538728581.333 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728581.333 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.333 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.333 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728581.333 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728581.333 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.333 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.333 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728581.333 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728581.333 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728581.333 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.333 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.333 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.333 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.334 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.334 * [misc]backup-simplify:  Simplify PI into PI
1538728581.334 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.335 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.335 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.335 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728581.336 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.336 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538728581.337 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538728581.337 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728581.337 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728581.337 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728581.337 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.337 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.337 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.338 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.338 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728581.340 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728581.341 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728581.341 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728581.341 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.342 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728581.343 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1538728581.345 * [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
1538728581.345 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538728581.346 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.346 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.346 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1538728581.348 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (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 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
1538728581.348 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728581.349 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728581.352 * [misc]backup-simplify:  Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
1538728581.352 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
1538728581.352 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
1538728581.352 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538728581.352 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.352 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.352 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538728581.352 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538728581.352 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728581.352 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.352 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.353 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728581.353 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728581.353 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728581.353 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728581.353 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.353 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.353 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.353 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.353 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.353 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.353 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.353 * [misc]backup-simplify:  Simplify PI into PI
1538728581.353 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.353 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728581.354 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.354 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728581.355 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.355 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728581.355 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.355 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.355 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.355 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.355 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.355 * [misc]backup-simplify:  Simplify PI into PI
1538728581.355 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.355 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.355 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.356 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728581.356 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.356 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.356 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.356 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.356 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728581.356 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728581.356 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.356 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.356 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.356 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.356 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.356 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.356 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.356 * [misc]backup-simplify:  Simplify PI into PI
1538728581.357 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.357 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728581.357 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.358 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728581.358 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.359 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.359 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728581.359 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.359 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.359 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.359 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.359 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.359 * [misc]backup-simplify:  Simplify PI into PI
1538728581.359 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.359 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.359 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.360 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728581.360 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538728581.360 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728581.360 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.360 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.360 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728581.360 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728581.360 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.360 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.360 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728581.360 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728581.360 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728581.360 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728581.360 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.360 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.360 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.360 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.360 * [misc]backup-simplify:  Simplify PI into PI
1538728581.361 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728581.361 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728581.361 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.362 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728581.362 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.363 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538728581.363 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538728581.363 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728581.364 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.364 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.365 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1538728581.366 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1538728581.367 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1538728581.367 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728581.367 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728581.367 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728581.367 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.368 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.368 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.368 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.368 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.368 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.369 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728581.370 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728581.372 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728581.372 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728581.373 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538728581.374 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538728581.375 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538728581.376 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728581.377 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728581.378 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728581.382 * [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
1538728581.387 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538728581.391 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538728581.392 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728581.394 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538728581.395 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538728581.399 * [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))))
1538728581.404 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728581.407 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728581.408 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728581.419 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1538728581.420 * [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1538728581.420 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1538728581.420 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.420 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538728581.420 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.420 * [misc]backup-simplify:  Simplify k into k
1538728581.420 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538728581.420 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538728581.420 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.420 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.420 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.420 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.420 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.420 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.420 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.420 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.420 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.421 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.421 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.421 * [misc]backup-simplify:  Simplify k into k
1538728581.421 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.421 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.421 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.421 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.421 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.421 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.421 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.421 * [misc]backup-simplify:  Simplify PI into PI
1538728581.421 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.421 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.421 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.421 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.422 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.422 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.422 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.423 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.423 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.424 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.424 * [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)))
1538728581.425 * [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))))
1538728581.425 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728581.425 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728581.425 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.425 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.425 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.425 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.426 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.426 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728581.426 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728581.426 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728581.426 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728581.426 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.426 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.426 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.426 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.426 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.426 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.426 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.426 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.426 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.427 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.427 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728581.427 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728581.427 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.427 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.427 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.427 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.427 * [misc]backup-simplify:  Simplify PI into PI
1538728581.427 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.427 * [misc]backup-simplify:  Simplify n into n
1538728581.427 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.427 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728581.428 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728581.428 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.428 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728581.428 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728581.428 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728581.429 * [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))))
1538728581.429 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728581.429 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728581.429 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.429 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.429 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.429 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.430 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728581.430 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.430 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.430 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.430 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.430 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.430 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.430 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.430 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.430 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728581.430 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.430 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.430 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.430 * [misc]backup-simplify:  Simplify PI into PI
1538728581.430 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.430 * [misc]backup-simplify:  Simplify n into n
1538728581.431 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.431 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728581.431 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728581.431 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.431 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728581.431 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728581.432 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728581.432 * [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))))
1538728581.432 * [misc]backup-simplify:  Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1538728581.432 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728581.432 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.432 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.433 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1538728581.433 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.433 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.433 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.433 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.433 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.433 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.433 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.433 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.433 * [misc]backup-simplify:  Simplify k into k
1538728581.434 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.434 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.434 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.434 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.434 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.434 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.434 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.434 * [misc]backup-simplify:  Simplify PI into PI
1538728581.434 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.434 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.434 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.434 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.435 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.435 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.435 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.436 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.436 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.437 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.437 * [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)))
1538728581.438 * [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))))
1538728581.439 * [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)))))
1538728581.440 * [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))))))
1538728581.441 * [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))))))
1538728581.441 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.442 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728581.443 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1538728581.443 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.443 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.443 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.443 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.443 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.443 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.443 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.443 * [misc]backup-simplify:  Simplify k into k
1538728581.443 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.443 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.443 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.444 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.444 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.444 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.444 * [misc]backup-simplify:  Simplify PI into PI
1538728581.444 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.444 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.444 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.444 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.444 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.445 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.445 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.445 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.445 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.446 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.447 * [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)))
1538728581.448 * [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))))
1538728581.448 * [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)))))
1538728581.449 * [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))))))
1538728581.450 * [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))))))
1538728581.451 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728581.452 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728581.456 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728581.456 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728581.456 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728581.456 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.456 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.457 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.458 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538728581.460 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728581.461 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1538728581.461 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728581.461 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.461 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.462 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728581.463 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1538728581.463 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728581.463 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728581.463 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.463 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.463 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.464 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.464 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.464 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.464 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.464 * [misc]backup-simplify:  Simplify k into k
1538728581.464 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.464 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728581.464 * [misc]backup-simplify:  Simplify 2 into 2
1538728581.464 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.464 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.464 * [misc]backup-simplify:  Simplify PI into PI
1538728581.464 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.464 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.464 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.465 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.465 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728581.465 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728581.465 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.466 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728581.466 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728581.467 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728581.467 * [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)))
1538728581.468 * [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))))
1538728581.469 * [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)))))
1538728581.470 * [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))))))
1538728581.471 * [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))))))
1538728581.474 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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))))))))
1538728581.475 * [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
1538728581.475 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1538728581.475 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538728581.475 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.475 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538728581.475 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538728581.475 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.475 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.475 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.475 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.475 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.475 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.475 * [misc]backup-simplify:  Simplify k into k
1538728581.475 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.476 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.476 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.476 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.476 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.476 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.476 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.476 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.476 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.476 * [misc]backup-simplify:  Simplify PI into PI
1538728581.476 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.476 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.476 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.476 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.476 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.477 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.477 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.477 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.478 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.479 * [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)))
1538728581.480 * [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))))
1538728581.480 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538728581.480 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538728581.480 * [misc]taylor:  Taking taylor expansion of -1 in n
1538728581.480 * [misc]backup-simplify:  Simplify -1 into -1
1538728581.480 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.480 * [misc]backup-simplify:  Simplify k into k
1538728581.480 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538728581.480 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538728581.481 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538728581.481 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538728581.482 * [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)))
1538728581.482 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.482 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.482 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.482 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.482 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.482 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.482 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.482 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.482 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728581.482 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.482 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.482 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.482 * [misc]backup-simplify:  Simplify PI into PI
1538728581.482 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.483 * [misc]backup-simplify:  Simplify n into n
1538728581.483 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.483 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728581.483 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728581.483 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.483 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.483 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728581.484 * [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)))
1538728581.484 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728581.484 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728581.484 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728581.484 * [misc]backup-simplify:  Simplify -1 into -1
1538728581.484 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.484 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.484 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.484 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728581.484 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.485 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728581.485 * [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))))
1538728581.485 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1538728581.485 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728581.485 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538728581.485 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538728581.485 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728581.485 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728581.485 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.485 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.485 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728581.486 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.486 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.486 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.486 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728581.486 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728581.486 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.486 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728581.486 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728581.486 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728581.486 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.486 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728581.486 * [misc]taylor:  Taking taylor expansion of PI in k
1538728581.486 * [misc]backup-simplify:  Simplify PI into PI
1538728581.486 * [misc]taylor:  Taking taylor expansion of n in k
1538728581.486 * [misc]backup-simplify:  Simplify n into n
1538728581.486 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728581.486 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728581.487 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728581.487 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728581.487 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728581.487 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728581.488 * [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)))
1538728581.488 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728581.488 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728581.488 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728581.488 * [misc]backup-simplify:  Simplify -1 into -1
1538728581.488 * [misc]taylor:  Taking taylor expansion of k in k
1538728581.488 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.488 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.488 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728581.488 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728581.489 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728581.489 * [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))))
1538728581.489 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728581.489 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.489 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.489 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728581.489 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.489 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.489 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.489 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.489 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.489 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.489 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.489 * [misc]backup-simplify:  Simplify PI into PI
1538728581.489 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.489 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.489 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.490 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.490 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.491 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.491 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.491 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.491 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.491 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.491 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.491 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.491 * [misc]backup-simplify:  Simplify k into k
1538728581.491 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.491 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.491 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.492 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.492 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.492 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.493 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538728581.493 * [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))))
1538728581.494 * [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)))))
1538728581.495 * [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)))))
1538728581.495 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538728581.496 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728581.497 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728581.497 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728581.497 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728581.497 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.497 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.497 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728581.497 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.497 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.498 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.498 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.498 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.498 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.498 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.498 * [misc]backup-simplify:  Simplify PI into PI
1538728581.498 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.498 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.498 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.498 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.498 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.499 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.499 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.499 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.499 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.499 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.499 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.499 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.499 * [misc]backup-simplify:  Simplify k into k
1538728581.499 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.499 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.499 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.500 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.500 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.500 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.501 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538728581.502 * [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))))
1538728581.503 * [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)))))
1538728581.503 * [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))))))
1538728581.504 * [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))))))
1538728581.505 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.505 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728581.505 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728581.506 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728581.507 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728581.508 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728581.511 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538728581.512 * [misc]backup-simplify:  Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1538728581.513 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728581.514 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1538728581.515 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.515 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728581.516 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728581.518 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728581.518 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728581.518 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728581.518 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728581.518 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728581.518 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728581.518 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728581.518 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728581.518 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728581.518 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728581.518 * [misc]backup-simplify:  Simplify -2 into -2
1538728581.518 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728581.518 * [misc]taylor:  Taking taylor expansion of PI in n
1538728581.518 * [misc]backup-simplify:  Simplify PI into PI
1538728581.518 * [misc]taylor:  Taking taylor expansion of n in n
1538728581.518 * [misc]backup-simplify:  Simplify 0 into 0
1538728581.518 * [misc]backup-simplify:  Simplify 1 into 1
1538728581.518 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728581.519 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728581.519 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728581.519 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728581.519 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728581.519 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.519 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.519 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728581.519 * [misc]taylor:  Taking taylor expansion of k in n
1538728581.519 * [misc]backup-simplify:  Simplify k into k
1538728581.520 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728581.520 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728581.520 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728581.520 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728581.520 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728581.521 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728581.521 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1538728581.522 * [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))))
1538728581.523 * [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)))))
1538728581.524 * [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))))))
1538728581.524 * [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))))))
1538728581.528 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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)))))))))))
1538728581.528 * * * [misc]progress:  simplifying candidates
1538728581.528 * * * * [misc]progress:  [ 1 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538728581.528 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1538728581.529 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728581.535 * * [misc]simplify:  iters left: 5 (21 enodes)
1538728581.547 * * [misc]simplify:  iters left: 4 (47 enodes)
1538728581.567 * * [misc]simplify:  iters left: 3 (109 enodes)
1538728581.628 * * [misc]simplify:  iters left: 2 (300 enodes)
1538728582.389 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1538728582.390 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))))))
1538728582.390 * * * * [misc]progress:  [ 2 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538728582.390 * * * * [misc]progress:  [ 3 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))))))>
1538728582.390 * [enter]simplify:  Simplifying (* PI (* n 2))
1538728582.391 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728582.393 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728582.397 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728582.403 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728582.409 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1538728582.409 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))))))
1538728582.409 * * * * [misc]progress:  [ 4 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1538728582.409 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538728582.410 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728582.413 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728582.419 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728582.425 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728582.432 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538728582.432 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))))))
1538728582.432 * * * * [misc]progress:  [ 5 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
1538728582.433 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538728582.433 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728582.435 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728582.440 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728582.442 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538728582.442 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))
1538728582.442 * * * * [misc]progress:  [ 6 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
1538728582.442 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538728582.442 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728582.443 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728582.445 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728582.447 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538728582.447 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))
1538728582.447 * * * * [misc]progress:  [ 7 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))>
1538728582.447 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538728582.447 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728582.448 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728582.450 * * [misc]simplify:  iters left: 2 (10 enodes)
1538728582.451 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538728582.451 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))
1538728582.451 * * * * [misc]progress:  [ 8 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538728582.451 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538728582.452 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728582.454 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728582.457 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728582.460 * * [misc]simplify:  iters left: 2 (22 enodes)
1538728582.464 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538728582.464 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))
1538728582.464 * * * * [misc]progress:  [ 9 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538728582.464 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538728582.465 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728582.467 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728582.470 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728582.474 * * [misc]simplify:  iters left: 2 (22 enodes)
1538728582.478 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538728582.478 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))
1538728582.478 * * * * [misc]progress:  [ 10 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728582.478 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538728582.478 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728582.480 * * [misc]simplify:  iters left: 4 (9 enodes)
1538728582.482 * * [misc]simplify:  iters left: 3 (12 enodes)
1538728582.484 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538728582.484 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728582.484 * * * * [misc]progress:  [ 11 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1))))>
1538728582.485 * * * * [misc]progress:  [ 12 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728582.485 * * * * [misc]progress:  [ 13 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728582.485 * * * * [misc]progress:  [ 14 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (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))))))))>
1538728582.485 * * * * [misc]progress:  [ 15 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (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))))))))>
1538728582.485 * * * * [misc]progress:  [ 16 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728582.485 * * * * [misc]progress:  [ 17 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728582.485 * * * * [misc]progress:  [ 18 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 19 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 20 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 21 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 22 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 23 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 24 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 25 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 26 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1538728582.485 * * * * [misc]progress:  [ 27 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)))>
1538728582.485 * * * * [misc]progress:  [ 28 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538728582.486 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1538728582.487 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728582.494 * * [misc]simplify:  iters left: 5 (26 enodes)
1538728582.509 * * [misc]simplify:  iters left: 4 (59 enodes)
1538728582.551 * * [misc]simplify:  iters left: 3 (164 enodes)
1538728582.655 * * [misc]simplify:  iters left: 2 (488 enodes)
1538728583.239 * [exit]simplify:  Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))
1538728583.239 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))))))
1538728583.239 * * * * [misc]progress:  [ 29 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538728583.239 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1538728583.241 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728583.247 * * [misc]simplify:  iters left: 5 (26 enodes)
1538728583.262 * * [misc]simplify:  iters left: 4 (59 enodes)
1538728583.293 * * [misc]simplify:  iters left: 3 (164 enodes)
1538728583.383 * * [misc]simplify:  iters left: 2 (488 enodes)
1538728583.982 * [exit]simplify:  Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))
1538728583.982 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))))))
1538728583.982 * * * * [misc]progress:  [ 30 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728583.982 * [enter]simplify:  Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728583.984 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728583.991 * * [misc]simplify:  iters left: 5 (24 enodes)
1538728584.001 * * [misc]simplify:  iters left: 4 (46 enodes)
1538728584.015 * * [misc]simplify:  iters left: 3 (103 enodes)
1538728584.080 * * [misc]simplify:  iters left: 2 (336 enodes)
1538728584.560 * [exit]simplify:  Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))
1538728584.560 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))))))
1538728584.560 * * * * [misc]progress:  [ 31 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728584.560 * * * * [misc]progress:  [ 32 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728584.560 * * * * [misc]progress:  [ 33 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728584.560 * [enter]simplify:  Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728584.562 * * [misc]simplify:  iters left: 6 (16 enodes)
1538728584.566 * * [misc]simplify:  iters left: 5 (31 enodes)
1538728584.578 * * [misc]simplify:  iters left: 4 (70 enodes)
1538728584.611 * * [misc]simplify:  iters left: 3 (130 enodes)
1538728584.644 * * [misc]simplify:  iters left: 2 (206 enodes)
1538728584.726 * * [misc]simplify:  iters left: 1 (288 enodes)
1538728584.934 * [exit]simplify:  Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
1538728584.934 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))))
1538728584.934 * * * * [misc]progress:  [ 34 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728584.934 * * * * [misc]progress:  [ 35 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (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))))))))>
1538728584.934 * * * * [misc]progress:  [ 36 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728584.934 * * * * [misc]progress:  [ 37 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728584.934 * * * * [misc]progress:  [ 38 / 120 ] 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)))))))>
1538728584.935 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))
1538728584.936 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728584.941 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728584.949 * * [misc]simplify:  iters left: 4 (27 enodes)
1538728584.956 * * [misc]simplify:  iters left: 3 (29 enodes)
1538728584.961 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI)))
1538728584.961 * [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)))))))
1538728584.962 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728584.962 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728584.965 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728584.968 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728584.972 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728584.977 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728584.977 * [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)))))))
1538728584.977 * * * * [misc]progress:  [ 39 / 120 ] 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)))))))>
1538728584.977 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))
1538728584.978 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728584.980 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728584.984 * * [misc]simplify:  iters left: 4 (27 enodes)
1538728584.989 * * [misc]simplify:  iters left: 3 (29 enodes)
1538728584.994 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI)))
1538728584.994 * [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)))))))
1538728584.994 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728584.994 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728584.997 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728585.000 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728585.005 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728585.010 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728585.010 * [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)))))))
1538728585.010 * * * * [misc]progress:  [ 40 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728585.010 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
1538728585.011 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.014 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728585.020 * * [misc]simplify:  iters left: 4 (20 enodes)
1538728585.026 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728585.034 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
1538728585.034 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728585.035 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728585.036 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.040 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728585.044 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728585.050 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728585.051 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728585.051 * * * * [misc]progress:  [ 41 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.051 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538728585.052 * * [misc]simplify:  iters left: 6 (16 enodes)
1538728585.060 * * [misc]simplify:  iters left: 5 (28 enodes)
1538728585.072 * * [misc]simplify:  iters left: 4 (46 enodes)
1538728585.088 * * [misc]simplify:  iters left: 3 (50 enodes)
1538728585.102 * * [misc]simplify:  iters left: 2 (53 enodes)
1538728585.117 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538728585.117 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))
1538728585.118 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.118 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728585.122 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728585.127 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728585.132 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.137 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728585.137 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))))
1538728585.137 * * * * [misc]progress:  [ 42 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.137 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.138 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728585.141 * * [misc]simplify:  iters left: 5 (23 enodes)
1538728585.148 * * [misc]simplify:  iters left: 4 (34 enodes)
1538728585.159 * * [misc]simplify:  iters left: 3 (36 enodes)
1538728585.172 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728585.172 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))
1538728585.172 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.173 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728585.179 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728585.188 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728585.197 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.208 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728585.208 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))))
1538728585.208 * * * * [misc]progress:  [ 43 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.208 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1538728585.209 * * [misc]simplify:  iters left: 6 (6 enodes)
1538728585.211 * * [misc]simplify:  iters left: 5 (10 enodes)
1538728585.216 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728585.221 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728585.225 * * [misc]simplify:  iters left: 2 (23 enodes)
1538728585.232 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538728585.232 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538728585.232 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728585.234 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728585.242 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728585.250 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728585.259 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.269 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538728585.269 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))
1538728585.269 * * * * [misc]progress:  [ 44 / 120 ] 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)))))))>
1538728585.269 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))
1538728585.270 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.275 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728585.281 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728585.288 * * [misc]simplify:  iters left: 3 (23 enodes)
1538728585.296 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2)))
1538728585.296 * [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)))))))
1538728585.296 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728585.298 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728585.303 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728585.310 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728585.318 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728585.326 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728585.326 * [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)))))))
1538728585.327 * * * * [misc]progress:  [ 45 / 120 ] 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)))))))>
1538728585.327 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))
1538728585.328 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.333 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728585.339 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728585.346 * * [misc]simplify:  iters left: 3 (23 enodes)
1538728585.354 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2)))
1538728585.354 * [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)))))))
1538728585.354 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728585.355 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728585.361 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728585.368 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728585.378 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728585.385 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728585.385 * [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)))))))
1538728585.385 * * * * [misc]progress:  [ 46 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728585.385 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1538728585.386 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728585.388 * * [misc]simplify:  iters left: 5 (12 enodes)
1538728585.390 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728585.393 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1538728585.393 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728585.393 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728585.394 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.396 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728585.398 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728585.402 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728585.402 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728585.402 * * * * [misc]progress:  [ 47 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (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))))))))>
1538728585.402 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538728585.403 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728585.406 * * [misc]simplify:  iters left: 5 (23 enodes)
1538728585.411 * * [misc]simplify:  iters left: 4 (32 enodes)
1538728585.416 * * [misc]simplify:  iters left: 3 (34 enodes)
1538728585.429 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538728585.429 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (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))))))))
1538728585.429 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.430 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728585.434 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728585.438 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728585.442 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.447 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728585.447 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (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))))))))
1538728585.447 * * * * [misc]progress:  [ 48 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.448 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.449 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728585.451 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728585.457 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728585.464 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.474 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728585.475 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))
1538728585.475 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.476 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728585.482 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728585.490 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728585.500 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.511 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728585.511 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))))
1538728585.511 * * * * [misc]progress:  [ 49 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.511 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) 1)
1538728585.512 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728585.513 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728585.516 * * [misc]simplify:  iters left: 2 (9 enodes)
1538728585.518 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538728585.518 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538728585.519 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728585.520 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728585.525 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728585.533 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728585.542 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.552 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538728585.552 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))
1538728585.553 * * * * [misc]progress:  [ 50 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* PI (* n 2)) 1/2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538728585.553 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) 1/2))
1538728585.554 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728585.558 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728585.564 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728585.571 * * [misc]simplify:  iters left: 3 (23 enodes)
1538728585.579 * [exit]simplify:  Simplified to (/ 1 (sqrt (* n (* 2 PI))))
1538728585.579 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))
1538728585.579 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538728585.580 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.585 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728585.594 * * [misc]simplify:  iters left: 4 (23 enodes)
1538728585.601 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728585.610 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538728585.610 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))))
1538728585.610 * * * * [misc]progress:  [ 51 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* PI (* n 2)) 1/2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538728585.610 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) 1/2))
1538728585.611 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728585.615 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728585.621 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728585.628 * * [misc]simplify:  iters left: 3 (23 enodes)
1538728585.635 * [exit]simplify:  Simplified to (/ 1 (sqrt (* n (* 2 PI))))
1538728585.635 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))
1538728585.635 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538728585.636 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.639 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728585.642 * * [misc]simplify:  iters left: 4 (23 enodes)
1538728585.646 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728585.650 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538728585.650 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))))
1538728585.650 * * * * [misc]progress:  [ 52 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728585.650 * [enter]simplify:  Simplifying (/ 1 (pow PI (- 1/2 (/ k 2))))
1538728585.651 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728585.652 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728585.654 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728585.657 * [exit]simplify:  Simplified to (/ 1 (pow PI (- 1/2 (/ k 2))))
1538728585.657 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728585.657 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728585.658 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728585.660 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728585.662 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728585.667 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728585.667 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728585.667 * * * * [misc]progress:  [ 53 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (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))))))))>
1538728585.667 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538728585.668 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728585.675 * * [misc]simplify:  iters left: 5 (24 enodes)
1538728585.684 * * [misc]simplify:  iters left: 4 (33 enodes)
1538728585.694 * * [misc]simplify:  iters left: 3 (34 enodes)
1538728585.704 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))
1538728585.704 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (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))))))))
1538728585.705 * [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.705 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728585.708 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728585.712 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728585.717 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.724 * [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538728585.724 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))))
1538728585.724 * * * * [misc]progress:  [ 54 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.724 * [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.726 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728585.731 * * [misc]simplify:  iters left: 5 (21 enodes)
1538728585.739 * * [misc]simplify:  iters left: 4 (30 enodes)
1538728585.748 * * [misc]simplify:  iters left: 3 (31 enodes)
1538728585.758 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1538728585.758 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))
1538728585.759 * [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.760 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728585.766 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728585.774 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728585.783 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728585.793 * [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538728585.793 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))))
1538728585.793 * * * * [misc]progress:  [ 55 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.793 * [enter]simplify:  Simplifying (/ 1 1)
1538728585.793 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728585.794 * * [misc]simplify:  iters left: 1 (4 enodes)
1538728585.795 * [exit]simplify:  Simplified to 1
1538728585.795 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538728585.795 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728585.796 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728585.801 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728585.808 * * [misc]simplify:  iters left: 4 (27 enodes)
1538728585.819 * * [misc]simplify:  iters left: 3 (29 enodes)
1538728585.826 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728585.826 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538728585.826 * * * * [misc]progress:  [ 56 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.827 * * * * [misc]progress:  [ 57 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.827 * * * * [misc]progress:  [ 58 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538728585.827 * * * * [misc]progress:  [ 59 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538728585.827 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538728585.827 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728585.829 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728585.833 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728585.836 * * [misc]simplify:  iters left: 2 (22 enodes)
1538728585.840 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538728585.840 * [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))))))
1538728585.840 * * * * [misc]progress:  [ 60 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538728585.841 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538728585.841 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728585.843 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728585.846 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728585.852 * * [misc]simplify:  iters left: 2 (22 enodes)
1538728585.860 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538728585.860 * [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))))))
1538728585.860 * * * * [misc]progress:  [ 61 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538728585.860 * [enter]simplify:  Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1538728585.861 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728585.864 * * [misc]simplify:  iters left: 4 (11 enodes)
1538728585.868 * * [misc]simplify:  iters left: 3 (14 enodes)
1538728585.873 * [exit]simplify:  Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1538728585.873 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))
1538728585.873 * * * * [misc]progress:  [ 62 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (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)))))))>
1538728585.874 * [enter]simplify:  Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728585.875 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.880 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728585.887 * * [misc]simplify:  iters left: 4 (26 enodes)
1538728585.895 * * [misc]simplify:  iters left: 3 (27 enodes)
1538728585.904 * [exit]simplify:  Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1538728585.904 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (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)))))))
1538728585.904 * * * * [misc]progress:  [ 63 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.904 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728585.905 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728585.910 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728585.914 * * [misc]simplify:  iters left: 4 (26 enodes)
1538728585.918 * * [misc]simplify:  iters left: 3 (27 enodes)
1538728585.926 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1538728585.926 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1538728585.927 * * * * [misc]progress:  [ 64 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728585.927 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2)))
1538728585.928 * * [misc]simplify:  iters left: 5 (10 enodes)
1538728585.932 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728585.939 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728585.947 * * [misc]simplify:  iters left: 2 (26 enodes)
1538728585.955 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))
1538728585.956 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))
1538728585.956 * * * * [misc]progress:  [ 65 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
1538728585.956 * [enter]simplify:  Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538728585.956 * * [misc]simplify:  iters left: 4 (4 enodes)
1538728585.958 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538728585.958 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))
1538728585.958 * * * * [misc]progress:  [ 66 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
1538728585.958 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538728585.959 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728585.960 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538728585.960 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))
1538728585.960 * * * * [misc]progress:  [ 67 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538728585.960 * * * * [misc]progress:  [ 68 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2)))))>
1538728585.960 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538728585.961 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728585.965 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728585.970 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728585.976 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728585.983 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538728585.983 * [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)))))
1538728585.983 * * * * [misc]progress:  [ 69 / 120 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1))>
1538728585.983 * * * * [misc]progress:  [ 70 / 120 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- 1)))>
1538728585.984 * [enter]simplify:  Simplifying (- 1)
1538728585.984 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728585.986 * * [misc]simplify:  iters left: 1 (5 enodes)
1538728585.987 * [exit]simplify:  Simplified to -1
1538728585.987 * [misc]simplify:  Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1))
1538728585.987 * * * * [misc]progress:  [ 71 / 120 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1))>
1538728585.987 * * * * [misc]progress:  [ 72 / 120 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538728585.987 * * * * [misc]progress:  [ 73 / 120 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538728585.987 * * * * [misc]progress:  [ 74 / 120 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.987 * * * * [misc]progress:  [ 75 / 120 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.987 * * * * [misc]progress:  [ 76 / 120 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.987 * * * * [misc]progress:  [ 77 / 120 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.987 * * * * [misc]progress:  [ 78 / 120 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.988 * * * * [misc]progress:  [ 79 / 120 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.988 * * * * [misc]progress:  [ 80 / 120 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538728585.988 * * * * [misc]progress:  [ 81 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.988 * * * * [misc]progress:  [ 82 / 120 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.988 * * * * [misc]progress:  [ 83 / 120 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.988 * * * * [misc]progress:  [ 84 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)))>
1538728585.988 * * * * [misc]progress:  [ 85 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728585.988 * [enter]simplify:  Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728585.990 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728585.995 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728586.003 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728586.013 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.023 * [exit]simplify:  Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538728586.023 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))
1538728586.023 * * * * [misc]progress:  [ 86 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728586.023 * [enter]simplify:  Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728586.024 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728586.030 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728586.038 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728586.048 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.058 * [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538728586.058 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))
1538728586.058 * * * * [misc]progress:  [ 87 / 120 ] 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))))))>
1538728586.059 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728586.062 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728586.067 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728586.074 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728586.082 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728586.091 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728586.091 * [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))))))
1538728586.091 * * * * [misc]progress:  [ 88 / 120 ] 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))))))>
1538728586.091 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728586.092 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728586.097 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728586.105 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728586.112 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728586.121 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728586.121 * [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))))))
1538728586.121 * * * * [misc]progress:  [ 89 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538728586.122 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728586.123 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728586.127 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728586.132 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728586.138 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728586.138 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))
1538728586.138 * * * * [misc]progress:  [ 90 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728586.138 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728586.139 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728586.145 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728586.153 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728586.162 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.173 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728586.173 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1538728586.173 * * * * [misc]progress:  [ 91 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728586.173 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728586.175 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728586.180 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728586.185 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728586.191 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.196 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728586.196 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1538728586.196 * * * * [misc]progress:  [ 92 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728586.196 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728586.197 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728586.200 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728586.208 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728586.218 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.228 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538728586.228 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1538728586.229 * * * * [misc]progress:  [ 93 / 120 ] 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))))))>
1538728586.229 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728586.230 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728586.235 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728586.242 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728586.250 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728586.259 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728586.259 * [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))))))
1538728586.259 * * * * [misc]progress:  [ 94 / 120 ] 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))))))>
1538728586.259 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538728586.260 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728586.266 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728586.273 * * [misc]simplify:  iters left: 4 (24 enodes)
1538728586.281 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728586.287 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538728586.287 * [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))))))
1538728586.287 * * * * [misc]progress:  [ 95 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538728586.287 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728586.288 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728586.290 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728586.292 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728586.295 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728586.295 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))
1538728586.295 * * * * [misc]progress:  [ 96 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (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)))))))>
1538728586.296 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728586.296 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728586.301 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728586.305 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728586.309 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.315 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728586.315 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (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)))))))
1538728586.315 * * * * [misc]progress:  [ 97 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728586.315 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728586.316 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728586.319 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728586.323 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728586.329 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.335 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538728586.335 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1538728586.335 * * * * [misc]progress:  [ 98 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728586.335 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728586.336 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728586.339 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728586.343 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728586.347 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.352 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538728586.352 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1538728586.352 * * * * [misc]progress:  [ 99 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538728586.353 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538728586.353 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728586.356 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728586.363 * * [misc]simplify:  iters left: 4 (23 enodes)
1538728586.370 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728586.378 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538728586.378 * [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))))))
1538728586.378 * * * * [misc]progress:  [ 100 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538728586.379 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538728586.380 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728586.387 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728586.393 * * [misc]simplify:  iters left: 4 (23 enodes)
1538728586.401 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728586.409 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538728586.409 * [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))))))
1538728586.409 * * * * [misc]progress:  [ 101 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538728586.409 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728586.410 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728586.414 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728586.419 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728586.424 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728586.424 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1538728586.425 * * * * [misc]progress:  [ 102 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (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)))))))>
1538728586.425 * [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728586.426 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728586.432 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728586.439 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728586.449 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.459 * [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538728586.459 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))
1538728586.459 * * * * [misc]progress:  [ 103 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538728586.460 * [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538728586.461 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728586.467 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728586.475 * * [misc]simplify:  iters left: 4 (28 enodes)
1538728586.484 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.495 * [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538728586.495 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))
1538728586.495 * * * * [misc]progress:  [ 104 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728586.495 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728586.496 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728586.501 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728586.505 * * [misc]simplify:  iters left: 4 (27 enodes)
1538728586.509 * * [misc]simplify:  iters left: 3 (29 enodes)
1538728586.516 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728586.516 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538728586.516 * * * * [misc]progress:  [ 105 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728586.516 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728586.517 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728586.520 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728586.524 * * [misc]simplify:  iters left: 4 (27 enodes)
1538728586.528 * * [misc]simplify:  iters left: 3 (29 enodes)
1538728586.534 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728586.534 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538728586.534 * * * * [misc]progress:  [ 106 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538728586.534 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538728586.535 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728586.540 * * [misc]simplify:  iters left: 5 (20 enodes)
1538728586.549 * * [misc]simplify:  iters left: 4 (29 enodes)
1538728586.558 * * [misc]simplify:  iters left: 3 (30 enodes)
1538728586.568 * [exit]simplify:  Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
1538728586.568 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
1538728586.568 * * * * [misc]progress:  [ 107 / 120 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))))>
1538728586.568 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538728586.569 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728586.572 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728586.574 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728586.578 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728586.581 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538728586.581 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2))))
1538728586.581 * * * * [misc]progress:  [ 108 / 120 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))>
1538728586.581 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2)))
1538728586.582 * * [misc]simplify:  iters left: 5 (10 enodes)
1538728586.584 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728586.588 * * [misc]simplify:  iters left: 3 (25 enodes)
1538728586.592 * * [misc]simplify:  iters left: 2 (26 enodes)
1538728586.596 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))
1538728586.596 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1538728586.596 * * * * [misc]progress:  [ 109 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 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))))))))>
1538728586.597 * [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)))))
1538728586.599 * * [misc]simplify:  iters left: 6 (37 enodes)
1538728586.616 * * [misc]simplify:  iters left: 5 (105 enodes)
1538728586.691 * * [misc]simplify:  iters left: 4 (339 enodes)
1538728587.319 * [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)))))
1538728587.319 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* 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))))))))
1538728587.319 * * * * [misc]progress:  [ 110 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1538728587.320 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1538728587.321 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728587.331 * * [misc]simplify:  iters left: 5 (33 enodes)
1538728587.349 * * [misc]simplify:  iters left: 4 (64 enodes)
1538728587.391 * * [misc]simplify:  iters left: 3 (171 enodes)
1538728587.580 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))
1538728587.580 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))))))
1538728587.580 * * * * [misc]progress:  [ 111 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1538728587.581 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1538728587.582 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728587.586 * * [misc]simplify:  iters left: 5 (30 enodes)
1538728587.596 * * [misc]simplify:  iters left: 4 (65 enodes)
1538728587.625 * * [misc]simplify:  iters left: 3 (200 enodes)
1538728587.874 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))
1538728587.874 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))))))
1538728587.874 * * * * [misc]progress:  [ 112 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1538728587.875 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728587.876 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728587.882 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728587.886 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728587.891 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728587.896 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728587.896 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538728587.896 * * * * [misc]progress:  [ 113 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1538728587.897 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728587.897 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728587.900 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728587.904 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728587.909 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728587.913 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728587.913 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538728587.913 * * * * [misc]progress:  [ 114 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1538728587.913 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728587.914 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728587.915 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728587.918 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728587.921 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728587.924 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728587.924 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538728587.924 * * * * [misc]progress:  [ 115 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
1538728587.924 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1538728587.924 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1538728587.924 * * * * [misc]progress:  [ 116 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
1538728587.924 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1538728587.924 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1538728587.924 * * * * [misc]progress:  [ 117 / 120 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
1538728587.925 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1538728587.925 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1538728587.925 * * * * [misc]progress:  [ 118 / 120 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1538728587.925 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1538728587.925 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728587.925 * * * * [misc]progress:  [ 119 / 120 ] 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)))))))))>
1538728587.925 * [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))))))))
1538728587.925 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728587.925 * * * * [misc]progress:  [ 120 / 120 ] 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))))))))))))>
1538728587.925 * [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)))))))))))
1538728587.925 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728587.925 * * * [misc]progress:  adding candidates to table
1538728590.792 * * [misc]progress:  iteration 3 / 4
1538728590.792 * * * [misc]progress:  picking best candidate
1538728590.875 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728590.875 * * * [misc]progress:  localizing error
1538728590.900 * * * [misc]progress:  generating rewritten candidates
1538728590.901 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 2)
1538728590.913 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 2)
1538728590.922 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2)
1538728590.981 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1538728591.097 * * * [misc]progress:  generating series expansions
1538728591.098 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 2)
1538728591.098 * [misc]backup-simplify:  Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
1538728591.098 * [misc]approximate:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
1538728591.098 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538728591.098 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538728591.098 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538728591.098 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.098 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.098 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.098 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.098 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.098 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.098 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.098 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.098 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.098 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538728591.098 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538728591.098 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.098 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.098 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.098 * [misc]backup-simplify:  Simplify n into n
1538728591.098 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538728591.098 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538728591.099 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.099 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.099 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.099 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538728591.099 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538728591.099 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538728591.099 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538728591.099 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538728591.099 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728591.099 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.099 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.099 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728591.099 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.099 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.100 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.100 * [misc]backup-simplify:  Simplify k into k
1538728591.100 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.100 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.100 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.100 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.100 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.100 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.100 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.100 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.100 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.100 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.100 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728591.100 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728591.100 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728591.100 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.101 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538728591.101 * [misc]backup-simplify:  Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
1538728591.101 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538728591.101 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538728591.101 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538728591.101 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728591.101 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.101 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.101 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728591.101 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.101 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.101 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.101 * [misc]backup-simplify:  Simplify k into k
1538728591.101 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.101 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.101 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.101 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.101 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.101 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.101 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.101 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.101 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.102 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.102 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728591.102 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728591.102 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728591.102 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.102 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538728591.102 * [misc]backup-simplify:  Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
1538728591.102 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
1538728591.103 * [misc]taylor:  Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
1538728591.103 * [misc]taylor:  Taking taylor expansion of (+ (log 2) (log n)) in k
1538728591.103 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1538728591.103 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.103 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.103 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.103 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728591.103 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.103 * [misc]backup-simplify:  Simplify n into n
1538728591.103 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728591.103 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.103 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.103 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.103 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.103 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.103 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.103 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.103 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.103 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.103 * [misc]backup-simplify:  Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
1538728591.103 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.103 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.103 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.104 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
1538728591.104 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
1538728591.104 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
1538728591.104 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.106 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538728591.106 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538728591.106 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.106 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.106 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.107 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
1538728591.107 * [misc]backup-simplify:  Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.108 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.108 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.108 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.108 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728591.108 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.108 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.110 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538728591.110 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538728591.110 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.111 * [misc]backup-simplify:  Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
1538728591.111 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
1538728591.112 * [misc]backup-simplify:  Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
1538728591.112 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538728591.115 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1538728591.115 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538728591.115 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.115 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.115 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.116 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
1538728591.117 * [misc]backup-simplify:  Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538728591.117 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.117 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.117 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.117 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.117 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.117 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.117 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.120 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1538728591.121 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538728591.121 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.122 * [misc]backup-simplify:  Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
1538728591.123 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
1538728591.125 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
1538728591.130 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
1538728591.130 * [misc]backup-simplify:  Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538728591.130 * [misc]approximate:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1538728591.130 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.130 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538728591.130 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538728591.130 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.130 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.130 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.130 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.130 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.130 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.130 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.130 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.130 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.130 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.131 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.131 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538728591.131 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538728591.131 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.131 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.131 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.131 * [misc]backup-simplify:  Simplify n into n
1538728591.131 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538728591.131 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538728591.131 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.131 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.132 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.132 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538728591.132 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538728591.132 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.132 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.132 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.132 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.132 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.132 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.132 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.132 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.132 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.132 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.132 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.132 * [misc]backup-simplify:  Simplify k into k
1538728591.132 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.133 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.133 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.133 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.133 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.133 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.133 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.133 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.133 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.133 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.133 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.133 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.133 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.134 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.134 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.134 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.134 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.134 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.135 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.135 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.135 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.135 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.135 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.135 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.135 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.135 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.135 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.135 * [misc]backup-simplify:  Simplify k into k
1538728591.135 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.135 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.135 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.135 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.135 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.135 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.135 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.135 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.135 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.135 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.135 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.136 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.136 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.136 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.136 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.137 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.137 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
1538728591.137 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
1538728591.137 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.137 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.137 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.137 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.137 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.137 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.137 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.137 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.137 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.137 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.137 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.137 * [misc]taylor:  Taking taylor expansion of (- (log 2) (log n)) in k
1538728591.137 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1538728591.137 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.137 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.138 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.138 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728591.138 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.138 * [misc]backup-simplify:  Simplify n into n
1538728591.138 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728591.138 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.138 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.138 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.138 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728591.139 * [misc]backup-simplify:  Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
1538728591.139 * [misc]backup-simplify:  Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
1538728591.139 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.139 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.140 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
1538728591.147 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538728591.147 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.147 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.147 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.147 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.148 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.148 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
1538728591.150 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.150 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.150 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.150 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.150 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.151 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.155 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1538728591.155 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728591.156 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728591.156 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.156 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.156 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.157 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
1538728591.159 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538728591.159 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.159 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.159 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.159 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.160 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.160 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.167 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
1538728591.168 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728591.168 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538728591.169 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.169 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.169 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.170 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
1538728591.174 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538728591.174 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.174 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.174 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.174 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
1538728591.175 * [misc]backup-simplify:  Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.175 * [misc]approximate:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1538728591.175 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.175 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.175 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.175 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.175 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.175 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.175 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.175 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.175 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538728591.175 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728591.176 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.176 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.176 * [misc]backup-simplify:  Simplify n into n
1538728591.176 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538728591.176 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538728591.176 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.176 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.176 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538728591.176 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.176 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.176 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.176 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.177 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.177 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.177 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.177 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.177 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.177 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.177 * [misc]backup-simplify:  Simplify k into k
1538728591.177 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.177 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.177 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.177 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.177 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.177 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.177 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.177 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.177 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.177 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.177 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.177 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.177 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.178 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.178 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.178 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.179 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.179 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.179 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.179 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.179 * [misc]backup-simplify:  Simplify k into k
1538728591.179 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.179 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.179 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.179 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.179 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.179 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.179 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.179 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.179 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.179 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.180 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.180 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.180 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.180 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.181 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.181 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.181 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
1538728591.181 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
1538728591.181 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.181 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.181 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.181 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.181 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.181 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.181 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.181 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.182 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.182 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.182 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.182 * [misc]taylor:  Taking taylor expansion of (- (log -2) (log n)) in k
1538728591.182 * [misc]taylor:  Taking taylor expansion of (log -2) in k
1538728591.182 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728591.182 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.182 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.182 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728591.182 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.182 * [misc]backup-simplify:  Simplify n into n
1538728591.182 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728591.182 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.182 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.183 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728591.183 * [misc]backup-simplify:  Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
1538728591.183 * [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
1538728591.183 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.184 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.184 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538728591.187 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
1538728591.187 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.188 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.188 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.188 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.189 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
1538728591.190 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.190 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.190 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.190 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.190 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.191 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.194 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
1538728591.194 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728591.194 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538728591.194 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.194 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.195 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
1538728591.196 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538728591.196 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.196 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.196 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.196 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.196 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.196 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.201 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
1538728591.201 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728591.202 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538728591.202 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.202 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.203 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
1538728591.205 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538728591.205 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728591.205 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.205 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.205 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
1538728591.205 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2)
1538728591.205 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
1538728591.206 * [misc]approximate:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
1538728591.206 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538728591.206 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538728591.206 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538728591.206 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.206 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.206 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.206 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.206 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.206 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.206 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.206 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.206 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.206 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.206 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.206 * [misc]backup-simplify:  Simplify PI into PI
1538728591.206 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.206 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.206 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.206 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.207 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.207 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538728591.207 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538728591.207 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538728591.207 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538728591.207 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.207 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.207 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.207 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.207 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.207 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.207 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.207 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.207 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.207 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.207 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.207 * [misc]backup-simplify:  Simplify PI into PI
1538728591.208 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.208 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.208 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.208 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.208 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.209 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538728591.209 * [misc]backup-simplify:  Simplify (pow PI 1/2) into (pow PI 1/2)
1538728591.211 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538728591.211 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728591.211 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.211 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.212 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1538728591.214 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1538728591.215 * [misc]backup-simplify:  Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
1538728591.218 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1538728591.218 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.218 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.219 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.219 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1538728591.223 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
1538728591.224 * [misc]backup-simplify:  Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
1538728591.227 * [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
1538728591.227 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.227 * [misc]approximate:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
1538728591.227 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.227 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538728591.227 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538728591.227 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.227 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.227 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.227 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.227 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.227 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.227 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.227 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.227 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.227 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.228 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.228 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.228 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.228 * [misc]backup-simplify:  Simplify PI into PI
1538728591.228 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.228 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.228 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.228 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.228 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538728591.229 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.229 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.229 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538728591.229 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538728591.229 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.229 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.229 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.229 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.229 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.229 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.229 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.229 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.229 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.229 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.229 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.229 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.229 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.229 * [misc]backup-simplify:  Simplify PI into PI
1538728591.229 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.229 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.230 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.230 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.230 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538728591.230 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.230 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.231 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.231 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.231 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.231 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.231 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.231 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.231 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
1538728591.231 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.231 * [misc]approximate:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
1538728591.231 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.231 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538728591.231 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538728591.231 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.231 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.231 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.231 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.231 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.231 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.231 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.231 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.231 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.231 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.231 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.231 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.231 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.231 * [misc]backup-simplify:  Simplify PI into PI
1538728591.232 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.232 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.232 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.232 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.232 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.232 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.232 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538728591.232 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538728591.233 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.233 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.233 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.233 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.233 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.233 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.233 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.233 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.233 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.233 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.233 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.233 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.233 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.233 * [misc]backup-simplify:  Simplify PI into PI
1538728591.233 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.233 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.233 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.234 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.234 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.234 * [misc]backup-simplify:  Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.234 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.234 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.234 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.234 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.234 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.234 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.234 * [misc]backup-simplify:  Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
1538728591.234 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2)
1538728591.235 * [misc]backup-simplify:  Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k))
1538728591.235 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1538728591.235 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.235 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.235 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.235 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.235 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.235 * [misc]backup-simplify:  Simplify k into k
1538728591.235 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.235 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.235 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.235 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.235 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.235 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.235 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.235 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.236 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.236 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728591.236 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728591.236 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728591.236 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.236 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538728591.236 * [misc]backup-simplify:  Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
1538728591.237 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))))
1538728591.237 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538728591.237 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.237 * [misc]backup-simplify:  Simplify k into k
1538728591.237 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538728591.237 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538728591.237 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.237 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.237 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.237 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.237 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.237 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.237 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.237 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538728591.237 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.237 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.237 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.237 * [misc]backup-simplify:  Simplify n into n
1538728591.237 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538728591.237 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538728591.237 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.237 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.237 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.238 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538728591.238 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538728591.238 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2)))
1538728591.238 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.238 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.238 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.238 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.238 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.238 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.238 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.238 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.238 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.238 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.238 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.238 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.239 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.239 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538728591.239 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538728591.239 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.239 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.239 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.239 * [misc]backup-simplify:  Simplify n into n
1538728591.239 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538728591.239 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538728591.239 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.239 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.239 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.239 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538728591.239 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538728591.239 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2)))
1538728591.239 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728591.239 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.239 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.239 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.240 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.240 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.240 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0
1538728591.240 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728591.240 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.240 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.240 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 n)) into 0
1538728591.241 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0
1538728591.241 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728591.241 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.241 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.242 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n))))
1538728591.242 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n))))
1538728591.244 * [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))
1538728591.245 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))
1538728591.245 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n
1538728591.245 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n
1538728591.245 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.245 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.245 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n
1538728591.245 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 n)) in n
1538728591.245 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1538728591.245 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.245 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.245 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.245 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.245 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.246 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.246 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538728591.246 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.246 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.246 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538728591.246 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538728591.246 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.247 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538728591.247 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
1538728591.248 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.248 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.248 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.249 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728591.249 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0
1538728591.251 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0
1538728591.251 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.251 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.251 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.252 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0
1538728591.253 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2)))
1538728591.258 * [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))))
1538728591.269 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))))
1538728591.269 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n
1538728591.269 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n
1538728591.269 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n
1538728591.269 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.269 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.269 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n
1538728591.269 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n
1538728591.269 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.269 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.269 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.269 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.270 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.270 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n
1538728591.270 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.270 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.270 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.270 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.270 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.270 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.270 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.270 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.270 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.270 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.270 * [misc]taylor:  Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1538728591.270 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538728591.270 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.270 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.270 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538728591.270 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538728591.270 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 n)) in n
1538728591.270 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1538728591.270 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.271 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.271 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.271 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.271 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.271 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.271 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n
1538728591.271 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n
1538728591.271 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.271 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.271 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n
1538728591.271 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 n)) in n
1538728591.271 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1538728591.271 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.271 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.271 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.271 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.271 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.272 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.272 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538728591.272 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.272 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.272 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538728591.272 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538728591.272 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.273 * [misc]backup-simplify:  Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1538728591.273 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))
1538728591.274 * [misc]backup-simplify:  Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2)))
1538728591.274 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.274 * [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1538728591.275 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.276 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538728591.277 * [misc]backup-simplify:  Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1538728591.278 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0
1538728591.279 * [misc]backup-simplify:  Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))
1538728591.280 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0
1538728591.285 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))
1538728591.285 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.286 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538728591.286 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
1538728591.287 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.291 * [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))
1538728591.297 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2)))))))
1538728591.302 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2)))))))
1538728591.303 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1538728591.303 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728591.304 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728591.305 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.306 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.306 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.307 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538728591.314 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2))))))))))))
1538728591.315 * [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
1538728591.315 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1538728591.315 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.315 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.315 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.315 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.315 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.315 * [misc]backup-simplify:  Simplify k into k
1538728591.315 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.315 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.315 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.315 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.315 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.315 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.315 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.315 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.315 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.315 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.316 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.316 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.316 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.316 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.316 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.316 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.317 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538728591.317 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.317 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.317 * [misc]backup-simplify:  Simplify k into k
1538728591.317 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.317 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538728591.317 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.317 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538728591.317 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.317 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.317 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.317 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.317 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.317 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.317 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.317 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.317 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538728591.317 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.317 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.317 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.317 * [misc]backup-simplify:  Simplify n into n
1538728591.317 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538728591.317 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538728591.317 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.318 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.318 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.318 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538728591.318 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538728591.318 * [misc]backup-simplify:  Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))
1538728591.318 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728591.318 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.318 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.318 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.318 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.318 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.318 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.319 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.319 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.319 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.319 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.319 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.319 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.319 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.319 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.319 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.319 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538728591.319 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.319 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.319 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.319 * [misc]backup-simplify:  Simplify n into n
1538728591.319 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538728591.319 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538728591.319 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.319 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.319 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.319 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538728591.320 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538728591.320 * [misc]backup-simplify:  Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))
1538728591.320 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728591.320 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.320 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.320 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.320 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.320 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.320 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.320 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.321 * [misc]backup-simplify:  Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1538728591.321 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728591.321 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.321 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.321 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1538728591.321 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728591.321 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.321 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.321 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.321 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.321 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.321 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.321 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.321 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.321 * [misc]backup-simplify:  Simplify k into k
1538728591.321 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.321 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.322 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.322 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.322 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.322 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.322 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.322 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.322 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.322 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.322 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.322 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.322 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.322 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.322 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.323 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.323 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.323 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.323 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.324 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.324 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.324 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728591.325 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728591.325 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1538728591.325 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728591.325 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.325 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.325 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.325 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.325 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.325 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.325 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.325 * [misc]backup-simplify:  Simplify k into k
1538728591.325 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.325 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.325 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.326 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.326 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.326 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.326 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.326 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.326 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.326 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.326 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.326 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.326 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.326 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.326 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.327 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.327 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.327 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.327 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.328 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.328 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
1538728591.331 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538728591.331 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.331 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.331 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.331 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.332 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.332 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
1538728591.333 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.334 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
1538728591.335 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
1538728591.335 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.335 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.335 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.336 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.337 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728591.337 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1538728591.338 * [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728591.338 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.338 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.338 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.338 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.338 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.338 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.338 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.338 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.338 * [misc]backup-simplify:  Simplify k into k
1538728591.339 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.339 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.339 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.339 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.339 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.339 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.339 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.339 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.339 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.339 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.339 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.339 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.339 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.340 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.340 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.340 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.341 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.341 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.342 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.342 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.344 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))))))))
1538728591.344 * [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.344 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1538728591.344 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.344 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538728591.344 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538728591.344 * [misc]taylor:  Taking taylor expansion of -1 in n
1538728591.344 * [misc]backup-simplify:  Simplify -1 into -1
1538728591.344 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.344 * [misc]backup-simplify:  Simplify k into k
1538728591.345 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538728591.345 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538728591.345 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538728591.345 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538728591.345 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.345 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.345 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.345 * [misc]backup-simplify:  Simplify k into k
1538728591.345 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.345 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.345 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.345 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.345 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.345 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.345 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.345 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.345 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.346 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.346 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.346 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.346 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.346 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.347 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.347 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.348 * [misc]backup-simplify:  Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
1538728591.348 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538728591.348 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728591.348 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728591.348 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728591.348 * [misc]backup-simplify:  Simplify -1 into -1
1538728591.348 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.348 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.348 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.348 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728591.348 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.349 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728591.349 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.349 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.349 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.349 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.349 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.349 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.349 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.349 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.349 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538728591.349 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728591.349 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.349 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.349 * [misc]backup-simplify:  Simplify n into n
1538728591.350 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538728591.350 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538728591.350 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.350 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.350 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538728591.350 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.351 * [misc]backup-simplify:  Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.351 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538728591.351 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728591.351 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728591.351 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728591.351 * [misc]backup-simplify:  Simplify -1 into -1
1538728591.351 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.351 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.351 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.351 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728591.351 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.352 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728591.352 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.352 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538728591.352 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538728591.352 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.352 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.352 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.352 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.352 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.352 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.352 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.352 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.352 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.353 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.353 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.353 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538728591.353 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538728591.353 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728591.353 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.353 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.353 * [misc]backup-simplify:  Simplify n into n
1538728591.353 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538728591.353 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538728591.353 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.353 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.353 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538728591.354 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.354 * [misc]backup-simplify:  Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.354 * [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.354 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.354 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.354 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.354 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.354 * [misc]backup-simplify:  Simplify k into k
1538728591.354 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.354 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.354 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.354 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.354 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.355 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.355 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.355 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.355 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.355 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.355 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.355 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.355 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.355 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.356 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.356 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.356 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.357 * [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
1538728591.357 * [misc]backup-simplify:  Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
1538728591.358 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538728591.359 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728591.360 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.360 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.360 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.360 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.360 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.360 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.360 * [misc]backup-simplify:  Simplify k into k
1538728591.360 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.360 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.360 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.360 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.360 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.360 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.360 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.360 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.360 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.361 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.361 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.361 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.361 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.361 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.362 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.362 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.362 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
1538728591.363 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
1538728591.363 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
1538728591.364 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
1538728591.364 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538728591.367 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
1538728591.367 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.367 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.368 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.368 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.368 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
1538728591.370 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.371 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0
1538728591.371 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.371 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.373 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728591.374 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.374 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.374 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.374 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.374 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.374 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.374 * [misc]backup-simplify:  Simplify k into k
1538728591.374 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.374 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.374 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.374 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.374 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.374 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.374 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.374 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.374 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.375 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.375 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.375 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.375 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.375 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.376 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.376 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.376 * [misc]backup-simplify:  Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
1538728591.377 * [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
1538728591.377 * [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
1538728591.378 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
1538728591.380 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2)))))))))
1538728591.380 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1538728591.383 * [misc]backup-simplify:  Simplify (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
1538728591.383 * [misc]approximate:  Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0
1538728591.384 * [misc]taylor:  Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.384 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.384 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.384 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.384 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.384 * [misc]backup-simplify:  Simplify k into k
1538728591.384 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.384 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.384 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.384 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.384 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.384 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.385 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.385 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.385 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.385 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728591.385 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728591.385 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728591.386 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.386 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538728591.386 * [misc]backup-simplify:  Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
1538728591.386 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
1538728591.386 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
1538728591.386 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
1538728591.386 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538728591.387 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.387 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.387 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538728591.387 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.387 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.387 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.387 * [misc]backup-simplify:  Simplify k into k
1538728591.387 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.387 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.387 * [misc]backup-simplify:  Simplify PI into PI
1538728591.387 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.387 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538728591.387 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538728591.387 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538728591.388 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
1538728591.388 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
1538728591.388 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538728591.388 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.388 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.388 * [misc]backup-simplify:  Simplify k into k
1538728591.389 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.389 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538728591.389 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.389 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538728591.389 * [misc]taylor:  Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.389 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.389 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.389 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.389 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.389 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.389 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.389 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538728591.389 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.389 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.389 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.389 * [misc]backup-simplify:  Simplify n into n
1538728591.390 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538728591.390 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538728591.390 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.390 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.390 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.390 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538728591.390 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538728591.390 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538728591.390 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538728591.390 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538728591.390 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.390 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.391 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.391 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.391 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.391 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.391 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.391 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.391 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.391 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.391 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.391 * [misc]backup-simplify:  Simplify PI into PI
1538728591.391 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.391 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.391 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.392 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.392 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.393 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538728591.393 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728591.393 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.393 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.393 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.393 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.393 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.393 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.394 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.394 * [misc]taylor:  Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.394 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.394 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.394 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.394 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.394 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.394 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.394 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538728591.394 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.394 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.394 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.394 * [misc]backup-simplify:  Simplify n into n
1538728591.395 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538728591.395 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538728591.395 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.395 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.395 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.395 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538728591.395 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538728591.395 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538728591.395 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538728591.395 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538728591.396 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538728591.396 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.396 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.396 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538728591.396 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.396 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.396 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.396 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.396 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.396 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.396 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.396 * [misc]backup-simplify:  Simplify PI into PI
1538728591.396 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.396 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538728591.397 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.397 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.397 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.398 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538728591.398 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728591.398 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.398 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.398 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.398 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.398 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.399 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.399 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.400 * [misc]backup-simplify:  Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2)))
1538728591.400 * [misc]backup-simplify:  Simplify (* (sqrt (* PI (* n 2))) 0) into 0
1538728591.400 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728591.400 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.400 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.404 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538728591.404 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728591.404 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.404 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.405 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1538728591.409 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1538728591.409 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 n)) into 0
1538728591.410 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0
1538728591.411 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538728591.411 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.411 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.411 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n))))
1538728591.412 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n))))
1538728591.414 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))
1538728591.416 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1538728591.416 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538728591.416 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728591.416 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.416 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.416 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728591.416 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.417 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.417 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.417 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.417 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.417 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728591.417 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728591.417 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.417 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.417 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.417 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.417 * [misc]backup-simplify:  Simplify PI into PI
1538728591.417 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728591.418 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728591.418 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.419 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.419 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728591.419 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.419 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.419 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.419 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.420 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728591.421 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728591.426 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1538728591.427 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.427 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.427 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.428 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1538728591.434 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
1538728591.435 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0
1538728591.437 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0
1538728591.437 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.437 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.437 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.438 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0
1538728591.440 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2)))
1538728591.447 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))))))
1538728591.456 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))
1538728591.456 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n
1538728591.456 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n
1538728591.456 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n
1538728591.456 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.456 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.456 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n
1538728591.456 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log PI)) in n
1538728591.456 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.456 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.456 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.457 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.457 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.457 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.457 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.457 * [misc]backup-simplify:  Simplify PI into PI
1538728591.457 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.457 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538728591.457 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538728591.457 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.457 * [misc]backup-simplify:  Simplify PI into PI
1538728591.457 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.457 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.457 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.458 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538728591.458 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538728591.459 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.459 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.459 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n
1538728591.459 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n
1538728591.459 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728591.459 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.459 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.459 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728591.459 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.459 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.459 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.459 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.460 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.460 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728591.460 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728591.460 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.460 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.460 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.460 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.460 * [misc]backup-simplify:  Simplify PI into PI
1538728591.460 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728591.461 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728591.461 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.462 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.462 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n
1538728591.462 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n
1538728591.462 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.462 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.462 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n
1538728591.462 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n
1538728591.462 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.462 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.462 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.462 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.462 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.462 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.462 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.462 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.462 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.462 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.462 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.462 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.463 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.463 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.463 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.463 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538728591.463 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538728591.463 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.463 * [misc]backup-simplify:  Simplify PI into PI
1538728591.463 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.463 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.463 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.464 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538728591.464 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538728591.464 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.465 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.466 * [misc]backup-simplify:  Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI))
1538728591.467 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (log PI)) 0) into 0
1538728591.467 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.467 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728591.467 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.468 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.468 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2))
1538728591.469 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0
1538728591.469 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.469 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.469 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.469 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.469 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.469 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.469 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.471 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728591.473 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728591.474 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728591.475 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728591.476 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.476 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.477 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728591.486 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
1538728591.487 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538728591.487 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.487 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.489 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
1538728591.495 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
1538728591.496 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
1538728591.498 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0
1538728591.498 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538728591.498 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.498 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.499 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0
1538728591.500 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3)))
1538728591.509 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI)))))))))
1538728591.529 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))))
1538728591.529 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n
1538728591.529 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n
1538728591.529 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n
1538728591.529 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.529 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.529 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n
1538728591.530 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log PI)) in n
1538728591.530 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.530 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.530 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.530 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.530 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.530 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.530 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.530 * [misc]backup-simplify:  Simplify PI into PI
1538728591.530 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.530 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538728591.530 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538728591.530 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.530 * [misc]backup-simplify:  Simplify PI into PI
1538728591.530 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.530 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.530 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.531 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538728591.531 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538728591.531 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.532 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.532 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.532 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.532 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.532 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.532 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.532 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.532 * [misc]taylor:  Taking taylor expansion of (pow (log PI) 2) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.532 * [misc]backup-simplify:  Simplify PI into PI
1538728591.532 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.532 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538728591.532 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.532 * [misc]backup-simplify:  Simplify PI into PI
1538728591.532 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.532 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.532 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.533 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538728591.533 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538728591.533 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.534 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.534 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.534 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.534 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.534 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.534 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.534 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.534 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 n)) 2) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.534 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.534 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.534 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.534 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.534 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.534 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.534 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.534 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.535 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.535 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538728591.535 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538728591.535 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.535 * [misc]backup-simplify:  Simplify PI into PI
1538728591.535 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.535 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.535 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.535 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538728591.535 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538728591.536 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.536 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.536 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.536 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.536 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.536 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.536 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.536 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.536 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.536 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.536 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.536 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.536 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.536 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.537 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.537 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.537 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.537 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.537 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.537 * [misc]backup-simplify:  Simplify PI into PI
1538728591.537 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.537 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728591.537 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728591.537 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.537 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.537 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.537 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.537 * [misc]backup-simplify:  Simplify PI into PI
1538728591.537 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728591.538 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728591.538 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.538 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.538 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n
1538728591.538 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n
1538728591.538 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728591.538 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.538 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.538 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728591.538 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.538 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.538 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.539 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.539 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.539 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728591.539 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728591.539 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.539 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.539 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.539 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.539 * [misc]backup-simplify:  Simplify PI into PI
1538728591.539 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728591.539 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728591.540 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.540 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.540 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n
1538728591.540 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n
1538728591.540 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.540 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.540 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n
1538728591.540 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n
1538728591.540 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728591.540 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.540 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.540 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728591.540 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728591.540 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538728591.540 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538728591.540 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.540 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.540 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.540 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.540 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.541 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728591.541 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538728591.541 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.541 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538728591.541 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538728591.541 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.541 * [misc]backup-simplify:  Simplify PI into PI
1538728591.541 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.541 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.541 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.541 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538728591.542 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538728591.542 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.542 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728591.543 * [misc]backup-simplify:  Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI))
1538728591.543 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (log PI)) 0) into 0
1538728591.543 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.544 * [misc]backup-simplify:  Simplify (* (log PI) (log PI)) into (pow (log PI) 2)
1538728591.545 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2))
1538728591.546 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0
1538728591.546 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.546 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.546 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.547 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2)
1538728591.547 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2))
1538728591.548 * [misc]backup-simplify:  Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0
1538728591.548 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.548 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.548 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI))
1538728591.549 * [misc]backup-simplify:  Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))
1538728591.549 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0
1538728591.550 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.550 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728591.550 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.550 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.550 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2))
1538728591.551 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.551 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.552 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.552 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.552 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.552 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.554 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538728591.555 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0
1538728591.556 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))
1538728591.558 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))
1538728591.559 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728591.560 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728591.560 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1538728591.562 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538728591.562 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538728591.562 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0
1538728591.563 * [misc]backup-simplify:  Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))
1538728591.564 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))
1538728591.566 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))
1538728591.569 * [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538728591.574 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538728591.580 * [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))
1538728591.588 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))
1538728591.596 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))
1538728591.598 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728591.600 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538728591.601 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538728591.604 * [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))))
1538728591.610 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728591.612 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728591.614 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728591.627 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))))
1538728591.628 * [misc]backup-simplify:  Simplify (/ 1 (* (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
1538728591.628 * [misc]approximate:  Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0
1538728591.628 * [misc]taylor:  Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
1538728591.628 * [misc]taylor:  Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.628 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.628 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538728591.628 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538728591.628 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.628 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.628 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.628 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.629 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.629 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.629 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.629 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.629 * [misc]backup-simplify:  Simplify k into k
1538728591.629 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.629 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.629 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.629 * [misc]backup-simplify:  Simplify PI into PI
1538728591.629 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.629 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.629 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.630 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.630 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538728591.630 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.630 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.630 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.630 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.631 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.631 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.631 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.631 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.631 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.631 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.631 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.631 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.631 * [misc]backup-simplify:  Simplify k into k
1538728591.631 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.631 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.631 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.631 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.631 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.631 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.631 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.631 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.631 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.631 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.634 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.634 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.634 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.634 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.635 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.635 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.635 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538728591.635 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.635 * [misc]backup-simplify:  Simplify k into k
1538728591.635 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538728591.635 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538728591.635 * [misc]taylor:  Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
1538728591.635 * [misc]taylor:  Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.636 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.636 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.636 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.636 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.636 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.636 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.636 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.636 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.636 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.636 * [misc]backup-simplify:  Simplify PI into PI
1538728591.637 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.637 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.637 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.637 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.638 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538728591.638 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.638 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.638 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538728591.638 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538728591.638 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.638 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.638 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.638 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.638 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.638 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.638 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.638 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.638 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.638 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.639 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.639 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538728591.639 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538728591.639 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.639 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.639 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.639 * [misc]backup-simplify:  Simplify n into n
1538728591.639 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538728591.639 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538728591.639 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.639 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.639 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.639 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538728591.640 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538728591.640 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728591.640 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.640 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.640 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.640 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.640 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.640 * [misc]taylor:  Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
1538728591.640 * [misc]taylor:  Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.641 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.641 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.641 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.641 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.641 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.641 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.641 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.641 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.641 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.641 * [misc]backup-simplify:  Simplify PI into PI
1538728591.641 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.642 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.642 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.642 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.643 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538728591.643 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.643 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538728591.643 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538728591.643 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538728591.643 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538728591.643 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.643 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.643 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.643 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.643 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.643 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.643 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.643 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.643 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.643 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.644 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538728591.644 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538728591.644 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728591.644 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.644 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.644 * [misc]backup-simplify:  Simplify n into n
1538728591.644 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538728591.644 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538728591.644 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.644 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538728591.644 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538728591.644 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538728591.645 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538728591.645 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728591.645 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.645 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.645 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.645 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.645 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728591.646 * [misc]backup-simplify:  Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))
1538728591.646 * [misc]backup-simplify:  Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1538728591.646 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728591.646 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.646 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.647 * [misc]backup-simplify:  Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0
1538728591.647 * [misc]backup-simplify:  Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728591.647 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728591.647 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728591.647 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.647 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.648 * [misc]taylor:  Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.648 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.648 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.648 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.648 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.648 * [misc]backup-simplify:  Simplify k into k
1538728591.648 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.648 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.648 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.648 * [misc]backup-simplify:  Simplify PI into PI
1538728591.648 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.648 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.649 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.649 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.649 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538728591.649 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.650 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.650 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.650 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.650 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.650 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.650 * [misc]backup-simplify:  Simplify k into k
1538728591.650 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.650 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.650 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.650 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.650 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.650 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.650 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.650 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.650 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.651 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.651 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.651 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.651 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.651 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.652 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.652 * [misc]backup-simplify:  Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.653 * [misc]backup-simplify:  Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
1538728591.654 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.654 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.654 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.656 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728591.656 * [misc]backup-simplify:  Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0
1538728591.657 * [misc]backup-simplify:  Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728591.657 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.657 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.657 * [misc]taylor:  Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.657 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.657 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.657 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.657 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.657 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.657 * [misc]backup-simplify:  Simplify k into k
1538728591.658 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.658 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.658 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.658 * [misc]backup-simplify:  Simplify PI into PI
1538728591.658 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.658 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.658 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.658 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.659 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538728591.659 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.659 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.659 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.659 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.659 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.659 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.659 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.659 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.659 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.659 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.659 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.659 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.659 * [misc]backup-simplify:  Simplify k into k
1538728591.660 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.660 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.660 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.660 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.660 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.660 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.660 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.660 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.660 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.660 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.660 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.660 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.660 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.661 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.661 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.661 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.662 * [misc]backup-simplify:  Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.663 * [misc]backup-simplify:  Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
1538728591.663 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.664 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.664 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
1538728591.667 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538728591.667 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.667 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.667 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.668 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.668 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.668 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
1538728591.670 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.673 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538728591.673 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.673 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.673 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.673 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.674 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
1538728591.676 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.676 * [misc]backup-simplify:  Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
1538728591.677 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
1538728591.677 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728591.677 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.677 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.678 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728591.679 * [misc]backup-simplify:  Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1538728591.680 * [misc]backup-simplify:  Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))
1538728591.680 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.680 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.680 * [misc]taylor:  Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.680 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.680 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.680 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.680 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.680 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.681 * [misc]backup-simplify:  Simplify k into k
1538728591.681 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.681 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.681 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.681 * [misc]backup-simplify:  Simplify PI into PI
1538728591.681 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.681 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.681 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.681 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.682 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538728591.682 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538728591.682 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538728591.682 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538728591.682 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538728591.682 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538728591.682 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.682 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.682 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.682 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.683 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.683 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.683 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.683 * [misc]backup-simplify:  Simplify k into k
1538728591.683 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.683 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538728591.683 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538728591.683 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728591.683 * [misc]backup-simplify:  Simplify 2 into 2
1538728591.683 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.683 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.683 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.683 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538728591.683 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538728591.683 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.683 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538728591.684 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538728591.684 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538728591.684 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
1538728591.685 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
1538728591.685 * [misc]backup-simplify:  Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
1538728591.686 * [misc]backup-simplify:  Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
1538728591.686 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.687 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
1538728591.691 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
1538728591.691 * [misc]backup-simplify:  Simplify (/ 1 (* (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
1538728591.692 * [misc]approximate:  Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0
1538728591.692 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.692 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.692 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.692 * [misc]backup-simplify:  Simplify k into k
1538728591.692 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.692 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.692 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.692 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.692 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.692 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.692 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.692 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.692 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.693 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.693 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.694 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.694 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.694 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.694 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.695 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.695 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.695 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538728591.695 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538728591.695 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.695 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.695 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.695 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.695 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.695 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.695 * [misc]backup-simplify:  Simplify k into k
1538728591.695 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.695 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.695 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.695 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.695 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.695 * [misc]backup-simplify:  Simplify PI into PI
1538728591.696 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.696 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.696 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.696 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538728591.697 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.697 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538728591.697 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538728591.697 * [misc]taylor:  Taking taylor expansion of -1 in n
1538728591.697 * [misc]backup-simplify:  Simplify -1 into -1
1538728591.697 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.697 * [misc]backup-simplify:  Simplify k into k
1538728591.697 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538728591.697 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538728591.697 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538728591.697 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538728591.698 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.699 * [misc]backup-simplify:  Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
1538728591.699 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.699 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.699 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.699 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.699 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.699 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.699 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.699 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.699 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538728591.699 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728591.699 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.699 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.699 * [misc]backup-simplify:  Simplify n into n
1538728591.699 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538728591.699 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538728591.700 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.700 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.700 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538728591.700 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.700 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.700 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538728591.700 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538728591.700 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.700 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.700 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.700 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.700 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.700 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.700 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.700 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.700 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.700 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.700 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.700 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.700 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.700 * [misc]backup-simplify:  Simplify PI into PI
1538728591.700 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.701 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.701 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.701 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.701 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.701 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728591.701 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728591.701 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728591.701 * [misc]backup-simplify:  Simplify -1 into -1
1538728591.701 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.701 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.701 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.702 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728591.702 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.702 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728591.702 * [misc]backup-simplify:  Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.702 * [misc]backup-simplify:  Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
1538728591.702 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
1538728591.702 * [misc]taylor:  Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538728591.702 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.702 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538728591.702 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538728591.702 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.702 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.703 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.703 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.703 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.703 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.703 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.703 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.703 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.703 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728591.703 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.703 * [misc]taylor:  Taking taylor expansion of n in k
1538728591.703 * [misc]backup-simplify:  Simplify n into n
1538728591.703 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538728591.703 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538728591.703 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.703 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.703 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538728591.703 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.703 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.703 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.703 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728591.703 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.704 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.704 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.704 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728591.704 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728591.704 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.704 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538728591.704 * [misc]taylor:  Taking taylor expansion of PI in k
1538728591.704 * [misc]backup-simplify:  Simplify PI into PI
1538728591.704 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.704 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728591.704 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538728591.704 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538728591.705 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.705 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728591.705 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728591.705 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728591.705 * [misc]backup-simplify:  Simplify -1 into -1
1538728591.705 * [misc]taylor:  Taking taylor expansion of k in k
1538728591.705 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.705 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.705 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728591.705 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728591.705 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728591.706 * [misc]backup-simplify:  Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.706 * [misc]backup-simplify:  Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
1538728591.706 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.706 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.706 * [misc]taylor:  Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.706 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.706 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.706 * [misc]backup-simplify:  Simplify k into k
1538728591.706 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.706 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.706 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.706 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.706 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.706 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.706 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.706 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.706 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.706 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.706 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.707 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.707 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.707 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.707 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.707 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.707 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.707 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538728591.707 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538728591.707 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.707 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.707 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.707 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.707 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.707 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.707 * [misc]backup-simplify:  Simplify k into k
1538728591.707 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.708 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.708 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.708 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.708 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.708 * [misc]backup-simplify:  Simplify PI into PI
1538728591.708 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.708 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.708 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.708 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538728591.708 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.709 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.709 * [misc]backup-simplify:  Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
1538728591.709 * [misc]backup-simplify:  Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
1538728591.710 * [misc]backup-simplify:  Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
1538728591.710 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538728591.711 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728591.711 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.711 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.711 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.711 * [misc]taylor:  Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.711 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.711 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.711 * [misc]backup-simplify:  Simplify k into k
1538728591.711 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.711 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.711 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.711 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.711 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.712 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.712 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.712 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.712 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.712 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.712 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.712 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.712 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.712 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.712 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.712 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.713 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.713 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.713 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538728591.713 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538728591.713 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.713 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.713 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.713 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.713 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.713 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.713 * [misc]backup-simplify:  Simplify k into k
1538728591.713 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.713 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.713 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.713 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.713 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.713 * [misc]backup-simplify:  Simplify PI into PI
1538728591.713 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.713 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.713 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.714 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538728591.714 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.714 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.715 * [misc]backup-simplify:  Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
1538728591.715 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.715 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.717 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538728591.717 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.717 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.717 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.718 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
1538728591.719 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.719 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538728591.720 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
1538728591.721 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728591.721 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538728591.721 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728591.721 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.721 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
1538728591.722 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728591.722 * [misc]backup-simplify:  Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
1538728591.723 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
1538728591.723 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.723 * [misc]backup-simplify:  Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
1538728591.724 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728591.724 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728591.725 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.725 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728591.725 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728591.725 * [misc]taylor:  Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.725 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.725 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.725 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.725 * [misc]backup-simplify:  Simplify k into k
1538728591.725 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.726 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.726 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.726 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538728591.726 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538728591.726 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728591.726 * [misc]backup-simplify:  Simplify -2 into -2
1538728591.726 * [misc]taylor:  Taking taylor expansion of n in n
1538728591.726 * [misc]backup-simplify:  Simplify 0 into 0
1538728591.726 * [misc]backup-simplify:  Simplify 1 into 1
1538728591.726 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538728591.726 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538728591.726 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.726 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.726 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538728591.726 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
1538728591.727 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
1538728591.727 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538728591.727 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538728591.727 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538728591.727 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538728591.727 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538728591.727 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.727 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.727 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728591.727 * [misc]taylor:  Taking taylor expansion of k in n
1538728591.727 * [misc]backup-simplify:  Simplify k into k
1538728591.727 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728591.727 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728591.727 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728591.727 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538728591.727 * [misc]taylor:  Taking taylor expansion of PI in n
1538728591.727 * [misc]backup-simplify:  Simplify PI into PI
1538728591.727 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538728591.727 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538728591.727 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538728591.728 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538728591.728 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538728591.728 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
1538728591.728 * [misc]backup-simplify:  Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
1538728591.729 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.729 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
1538728591.731 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
1538728591.731 * * * [misc]progress:  simplifying candidates
1538728591.731 * * * * [misc]progress:  [ 1 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728591.731 * [enter]simplify:  Simplifying (* (log (* n 2)) (- 1/2 (/ k 2)))
1538728591.732 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728591.735 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728591.742 * * [misc]simplify:  iters left: 4 (32 enodes)
1538728591.759 * * [misc]simplify:  iters left: 3 (68 enodes)
1538728591.810 * * [misc]simplify:  iters left: 2 (171 enodes)
1538728591.913 * * [misc]simplify:  iters left: 1 (342 enodes)
1538728592.108 * [exit]simplify:  Simplified to (* (log (* n 2)) (- 1/2 (/ k 2)))
1538728592.108 * [misc]simplify:  Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))))
1538728592.109 * * * * [misc]progress:  [ 2 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728592.109 * * * * [misc]progress:  [ 3 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))))>
1538728592.109 * [enter]simplify:  Simplifying (* n 2)
1538728592.109 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728592.110 * * [misc]simplify:  iters left: 1 (4 enodes)
1538728592.110 * [exit]simplify:  Simplified to (* n 2)
1538728592.110 * [misc]simplify:  Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))))
1538728592.110 * * * * [misc]progress:  [ 4 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))))>
1538728592.110 * [enter]simplify:  Simplifying (pow (* n 2) (/ k 2))
1538728592.111 * * [misc]simplify:  iters left: 3 (6 enodes)
1538728592.112 * * [misc]simplify:  iters left: 2 (7 enodes)
1538728592.113 * [exit]simplify:  Simplified to (pow (* n 2) (/ k 2))
1538728592.113 * [misc]simplify:  Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))))
1538728592.113 * * * * [misc]progress:  [ 5 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))))>
1538728592.113 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538728592.113 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728592.115 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728592.116 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728592.118 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538728592.118 * [misc]simplify:  Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))))
1538728592.118 * * * * [misc]progress:  [ 6 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))))>
1538728592.118 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538728592.122 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728592.125 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728592.128 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728592.132 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538728592.132 * [misc]simplify:  Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))))
1538728592.132 * * * * [misc]progress:  [ 7 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))))>
1538728592.133 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538728592.133 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728592.135 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728592.138 * * [misc]simplify:  iters left: 2 (10 enodes)
1538728592.141 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538728592.141 * [misc]simplify:  Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))))
1538728592.141 * * * * [misc]progress:  [ 8 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))))>
1538728592.142 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538728592.142 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728592.145 * * [misc]simplify:  iters left: 4 (10 enodes)
1538728592.149 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538728592.149 * [misc]simplify:  Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))))
1538728592.149 * * * * [misc]progress:  [ 9 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))))>
1538728592.149 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538728592.150 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728592.152 * * [misc]simplify:  iters left: 4 (10 enodes)
1538728592.156 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538728592.156 * [misc]simplify:  Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))))
1538728592.156 * * * * [misc]progress:  [ 10 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))>
1538728592.156 * [enter]simplify:  Simplifying (pow n (- 1/2 (/ k 2)))
1538728592.157 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728592.159 * * [misc]simplify:  iters left: 4 (9 enodes)
1538728592.163 * * [misc]simplify:  iters left: 3 (12 enodes)
1538728592.167 * [exit]simplify:  Simplified to (pow n (- 1/2 (/ k 2)))
1538728592.167 * [misc]simplify:  Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))
1538728592.167 * * * * [misc]progress:  [ 11 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (- 1/2 (/ k 2))) 1)))))>
1538728592.167 * * * * [misc]progress:  [ 12 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (log (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.167 * * * * [misc]progress:  [ 13 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (log (exp (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.167 * * * * [misc]progress:  [ 14 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.167 * * * * [misc]progress:  [ 15 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.167 * * * * [misc]progress:  [ 16 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.167 * * * * [misc]progress:  [ 17 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* 1 (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728592.167 * * * * [misc]progress:  [ 18 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.167 * * * * [misc]progress:  [ 19 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.168 * [enter]simplify:  Simplifying (pow PI (/ k 2))
1538728592.168 * * [misc]simplify:  iters left: 3 (5 enodes)
1538728592.170 * [exit]simplify:  Simplified to (pow PI (/ k 2))
1538728592.170 * [misc]simplify:  Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728592.170 * * * * [misc]progress:  [ 20 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.170 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538728592.171 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728592.173 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728592.176 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728592.180 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538728592.180 * [misc]simplify:  Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728592.180 * * * * [misc]progress:  [ 21 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.180 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538728592.181 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728592.184 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728592.187 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728592.190 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538728592.190 * [misc]simplify:  Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728592.190 * * * * [misc]progress:  [ 22 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.191 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538728592.191 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728592.193 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728592.196 * * [misc]simplify:  iters left: 2 (10 enodes)
1538728592.199 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538728592.199 * [misc]simplify:  Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728592.199 * * * * [misc]progress:  [ 23 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.199 * [enter]simplify:  Simplifying (pow PI (- (/ k 2)))
1538728592.200 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728592.202 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728592.205 * [exit]simplify:  Simplified to (pow PI (/ (- k) 2))
1538728592.205 * [misc]simplify:  Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728592.205 * * * * [misc]progress:  [ 24 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.206 * [enter]simplify:  Simplifying (pow PI (- (/ k 2)))
1538728592.206 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728592.208 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728592.211 * [exit]simplify:  Simplified to (pow PI (/ (- k) 2))
1538728592.211 * [misc]simplify:  Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728592.212 * * * * [misc]progress:  [ 25 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (- 1/2 (/ k 2))) 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.212 * * * * [misc]progress:  [ 26 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (exp (log (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.212 * * * * [misc]progress:  [ 27 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (log (exp (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.212 * * * * [misc]progress:  [ 28 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.212 * * * * [misc]progress:  [ 29 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.212 * * * * [misc]progress:  [ 30 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.212 * * * * [misc]progress:  [ 31 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728592.212 * * * * [misc]progress:  [ 32 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1))))>
1538728592.212 * * * * [misc]progress:  [ 33 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728592.212 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))
1538728592.214 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728592.220 * * [misc]simplify:  iters left: 5 (21 enodes)
1538728592.231 * * [misc]simplify:  iters left: 4 (44 enodes)
1538728592.253 * * [misc]simplify:  iters left: 3 (125 enodes)
1538728592.302 * * [misc]simplify:  iters left: 2 (343 enodes)
1538728592.454 * [exit]simplify:  Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))
1538728592.454 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))))
1538728592.454 * * * * [misc]progress:  [ 34 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728592.454 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))
1538728592.455 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728592.458 * * [misc]simplify:  iters left: 5 (21 enodes)
1538728592.467 * * [misc]simplify:  iters left: 4 (44 enodes)
1538728592.484 * * [misc]simplify:  iters left: 3 (125 enodes)
1538728592.534 * * [misc]simplify:  iters left: 2 (343 enodes)
1538728592.728 * [exit]simplify:  Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))
1538728592.728 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))))
1538728592.728 * * * * [misc]progress:  [ 35 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.729 * [enter]simplify:  Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))
1538728592.730 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728592.732 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728592.737 * * [misc]simplify:  iters left: 4 (32 enodes)
1538728592.746 * * [misc]simplify:  iters left: 3 (67 enodes)
1538728592.776 * * [misc]simplify:  iters left: 2 (194 enodes)
1538728592.956 * [exit]simplify:  Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))
1538728592.956 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))
1538728592.956 * * * * [misc]progress:  [ 36 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.956 * * * * [misc]progress:  [ 37 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (log (exp (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.956 * * * * [misc]progress:  [ 38 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728592.956 * [enter]simplify:  Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))
1538728592.957 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728592.962 * * [misc]simplify:  iters left: 5 (26 enodes)
1538728592.977 * * [misc]simplify:  iters left: 4 (58 enodes)
1538728592.999 * * [misc]simplify:  iters left: 3 (117 enodes)
1538728593.032 * * [misc]simplify:  iters left: 2 (193 enodes)
1538728593.087 * * [misc]simplify:  iters left: 1 (263 enodes)
1538728593.179 * [exit]simplify:  Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.179 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.179 * * * * [misc]progress:  [ 39 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.179 * * * * [misc]progress:  [ 40 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (cbrt (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.179 * * * * [misc]progress:  [ 41 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.179 * * * * [misc]progress:  [ 42 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (- (sqrt k)) (- (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.179 * * * * [misc]progress:  [ 43 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))>
1538728593.180 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))
1538728593.180 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.183 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728593.185 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728593.188 * * [misc]simplify:  iters left: 3 (17 enodes)
1538728593.191 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))
1538728593.191 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))
1538728593.191 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538728593.192 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.194 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728593.196 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538728593.196 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))))
1538728593.196 * * * * [misc]progress:  [ 44 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))>
1538728593.197 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))
1538728593.197 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.199 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728593.201 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728593.204 * * [misc]simplify:  iters left: 3 (17 enodes)
1538728593.207 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))
1538728593.207 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))
1538728593.207 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538728593.208 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.212 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728593.214 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538728593.214 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))))
1538728593.214 * * * * [misc]progress:  [ 45 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))))>
1538728593.215 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
1538728593.215 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728593.218 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728593.220 * * [misc]simplify:  iters left: 4 (20 enodes)
1538728593.223 * * [misc]simplify:  iters left: 3 (21 enodes)
1538728593.227 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
1538728593.227 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))))
1538728593.227 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538728593.228 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728593.230 * * [misc]simplify:  iters left: 5 (11 enodes)
1538728593.232 * * [misc]simplify:  iters left: 4 (14 enodes)
1538728593.234 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538728593.234 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))))
1538728593.234 * * * * [misc]progress:  [ 46 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.235 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538728593.236 * * [misc]simplify:  iters left: 6 (14 enodes)
1538728593.239 * * [misc]simplify:  iters left: 5 (23 enodes)
1538728593.244 * * [misc]simplify:  iters left: 4 (35 enodes)
1538728593.249 * * [misc]simplify:  iters left: 3 (38 enodes)
1538728593.255 * * [misc]simplify:  iters left: 2 (41 enodes)
1538728593.264 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538728593.264 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.264 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.265 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728593.267 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728593.269 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728593.272 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.272 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.272 * * * * [misc]progress:  [ 47 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.273 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.274 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728593.276 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728593.280 * * [misc]simplify:  iters left: 4 (23 enodes)
1538728593.285 * * [misc]simplify:  iters left: 3 (24 enodes)
1538728593.289 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.289 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.290 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.290 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728593.293 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728593.295 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728593.299 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.299 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.299 * * * * [misc]progress:  [ 48 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.299 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1538728593.299 * * [misc]simplify:  iters left: 6 (6 enodes)
1538728593.301 * * [misc]simplify:  iters left: 5 (10 enodes)
1538728593.303 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728593.306 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728593.308 * * [misc]simplify:  iters left: 2 (23 enodes)
1538728593.312 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538728593.312 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.312 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.312 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728593.314 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728593.317 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728593.320 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.320 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.320 * * * * [misc]progress:  [ 49 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))>
1538728593.320 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))
1538728593.321 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728593.322 * * [misc]simplify:  iters left: 4 (11 enodes)
1538728593.324 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2)))
1538728593.324 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))
1538728593.324 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538728593.325 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.327 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728593.329 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538728593.329 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))))
1538728593.329 * * * * [misc]progress:  [ 50 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))>
1538728593.329 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))
1538728593.330 * * [misc]simplify:  iters left: 5 (9 enodes)
1538728593.331 * * [misc]simplify:  iters left: 4 (11 enodes)
1538728593.333 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2)))
1538728593.333 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))))
1538728593.333 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538728593.334 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.336 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728593.338 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538728593.338 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))))
1538728593.338 * * * * [misc]progress:  [ 51 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))))>
1538728593.338 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
1538728593.339 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.341 * * [misc]simplify:  iters left: 5 (12 enodes)
1538728593.343 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728593.345 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
1538728593.345 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))))
1538728593.346 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538728593.346 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728593.348 * * [misc]simplify:  iters left: 5 (11 enodes)
1538728593.350 * * [misc]simplify:  iters left: 4 (14 enodes)
1538728593.352 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538728593.352 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))))
1538728593.352 * * * * [misc]progress:  [ 52 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.352 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538728593.355 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728593.357 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728593.361 * * [misc]simplify:  iters left: 4 (21 enodes)
1538728593.365 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538728593.365 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.365 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.366 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728593.368 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728593.371 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728593.374 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.374 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.374 * * * * [misc]progress:  [ 53 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.374 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.375 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728593.377 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728593.380 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728593.383 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.384 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.384 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.384 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728593.387 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728593.390 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728593.393 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.393 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.393 * * * * [misc]progress:  [ 54 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.393 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) 1)
1538728593.393 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728593.394 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728593.396 * * [misc]simplify:  iters left: 2 (9 enodes)
1538728593.397 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538728593.397 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.397 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.398 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728593.400 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728593.402 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728593.405 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.405 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.405 * * * * [misc]progress:  [ 55 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow (* n 2) 1/2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))))>
1538728593.406 * [enter]simplify:  Simplifying (/ 1 (pow (* n 2) 1/2))
1538728593.406 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728593.408 * * [misc]simplify:  iters left: 4 (11 enodes)
1538728593.411 * [exit]simplify:  Simplified to (/ 1 (sqrt (* 2 n)))
1538728593.411 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))))
1538728593.411 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2))))
1538728593.412 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728593.416 * * [misc]simplify:  iters left: 5 (12 enodes)
1538728593.420 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))
1538728593.420 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))))
1538728593.420 * * * * [misc]progress:  [ 56 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow (* n 2) 1/2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))))>
1538728593.421 * [enter]simplify:  Simplifying (/ 1 (pow (* n 2) 1/2))
1538728593.421 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728593.424 * * [misc]simplify:  iters left: 4 (11 enodes)
1538728593.427 * [exit]simplify:  Simplified to (/ 1 (sqrt (* 2 n)))
1538728593.428 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))))
1538728593.428 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2))))
1538728593.429 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728593.432 * * [misc]simplify:  iters left: 5 (12 enodes)
1538728593.437 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))
1538728593.437 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))))
1538728593.437 * * * * [misc]progress:  [ 57 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))))>
1538728593.437 * [enter]simplify:  Simplifying (/ 1 (pow n (- 1/2 (/ k 2))))
1538728593.438 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728593.442 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728593.449 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728593.454 * [exit]simplify:  Simplified to (/ 1 (pow n (- 1/2 (/ k 2))))
1538728593.454 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))))
1538728593.455 * [enter]simplify:  Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))
1538728593.455 * * [misc]simplify:  iters left: 6 (8 enodes)
1538728593.458 * * [misc]simplify:  iters left: 5 (10 enodes)
1538728593.462 * * [misc]simplify:  iters left: 4 (13 enodes)
1538728593.467 * [exit]simplify:  Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))
1538728593.467 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))))
1538728593.467 * * * * [misc]progress:  [ 58 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.467 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538728593.468 * * [misc]simplify:  iters left: 6 (12 enodes)
1538728593.473 * * [misc]simplify:  iters left: 5 (19 enodes)
1538728593.480 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728593.488 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))
1538728593.488 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.488 * [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.489 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728593.493 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728593.499 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728593.505 * [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.505 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.505 * * * * [misc]progress:  [ 59 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.505 * [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.506 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728593.511 * * [misc]simplify:  iters left: 5 (16 enodes)
1538728593.516 * * [misc]simplify:  iters left: 4 (19 enodes)
1538728593.522 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))
1538728593.523 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.523 * [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.524 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728593.528 * * [misc]simplify:  iters left: 5 (14 enodes)
1538728593.533 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728593.539 * [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.539 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))))
1538728593.539 * * * * [misc]progress:  [ 60 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.540 * [enter]simplify:  Simplifying (/ 1 1)
1538728593.540 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728593.541 * * [misc]simplify:  iters left: 1 (4 enodes)
1538728593.541 * [exit]simplify:  Simplified to 1
1538728593.541 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.542 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.543 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.547 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728593.552 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728593.556 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.556 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.556 * * * * [misc]progress:  [ 61 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.557 * * * * [misc]progress:  [ 62 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.557 * * * * [misc]progress:  [ 63 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))))>
1538728593.557 * * * * [misc]progress:  [ 64 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))))>
1538728593.557 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538728593.557 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728593.559 * * [misc]simplify:  iters left: 4 (10 enodes)
1538728593.560 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538728593.560 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))))
1538728593.560 * * * * [misc]progress:  [ 65 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))))>
1538728593.561 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538728593.561 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728593.562 * * [misc]simplify:  iters left: 4 (10 enodes)
1538728593.564 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538728593.564 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))))
1538728593.564 * * * * [misc]progress:  [ 66 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))>
1538728593.564 * [enter]simplify:  Simplifying (pow 2 (- 1/2 (/ k 2)))
1538728593.565 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728593.566 * * [misc]simplify:  iters left: 4 (8 enodes)
1538728593.567 * * [misc]simplify:  iters left: 3 (11 enodes)
1538728593.569 * [exit]simplify:  Simplified to (pow 2 (- 1/2 (/ k 2)))
1538728593.569 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))))
1538728593.569 * * * * [misc]progress:  [ 67 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.569 * [enter]simplify:  Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.570 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728593.573 * * [misc]simplify:  iters left: 5 (12 enodes)
1538728593.575 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728593.578 * [exit]simplify:  Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.578 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.578 * * * * [misc]progress:  [ 68 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.578 * [enter]simplify:  Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.579 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728593.581 * * [misc]simplify:  iters left: 5 (12 enodes)
1538728593.583 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728593.585 * [exit]simplify:  Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.585 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))
1538728593.585 * * * * [misc]progress:  [ 69 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728593.586 * [enter]simplify:  Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1538728593.586 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728593.588 * * [misc]simplify:  iters left: 4 (11 enodes)
1538728593.590 * * [misc]simplify:  iters left: 3 (14 enodes)
1538728593.592 * [exit]simplify:  Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1538728593.592 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728593.592 * * * * [misc]progress:  [ 70 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))>
1538728593.592 * [enter]simplify:  Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538728593.593 * * [misc]simplify:  iters left: 4 (4 enodes)
1538728593.593 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538728593.593 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))
1538728593.593 * * * * [misc]progress:  [ 71 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
1538728593.594 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538728593.594 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728593.594 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538728593.594 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))
1538728593.594 * * * * [misc]progress:  [ 72 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))))>
1538728593.595 * * * * [misc]progress:  [ 73 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))))>
1538728593.595 * [enter]simplify:  Simplifying (pow (* n 2) (/ k 2))
1538728593.595 * * [misc]simplify:  iters left: 3 (6 enodes)
1538728593.596 * * [misc]simplify:  iters left: 2 (7 enodes)
1538728593.597 * [exit]simplify:  Simplified to (pow (* n 2) (/ k 2))
1538728593.597 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))))
1538728593.597 * * * * [misc]progress:  [ 74 / 115 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) -1))>
1538728593.597 * * * * [misc]progress:  [ 75 / 115 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (- 1)))>
1538728593.598 * [enter]simplify:  Simplifying (- 1)
1538728593.598 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728593.599 * * [misc]simplify:  iters left: 1 (5 enodes)
1538728593.599 * [exit]simplify:  Simplified to -1
1538728593.599 * [misc]simplify:  Simplified (2 2) to (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) -1))
1538728593.599 * * * * [misc]progress:  [ 76 / 115 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (- 1)))>
1538728593.600 * [enter]simplify:  Simplifying (- 1)
1538728593.600 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728593.601 * * [misc]simplify:  iters left: 1 (5 enodes)
1538728593.601 * [exit]simplify:  Simplified to -1
1538728593.601 * [misc]simplify:  Simplified (2 2) to (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) -1))
1538728593.601 * * * * [misc]progress:  [ 77 / 115 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1))>
1538728593.601 * * * * [misc]progress:  [ 78 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728593.601 * * * * [misc]progress:  [ 79 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728593.601 * * * * [misc]progress:  [ 80 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.601 * * * * [misc]progress:  [ 81 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.601 * * * * [misc]progress:  [ 82 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728593.601 * * * * [misc]progress:  [ 83 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728593.601 * * * * [misc]progress:  [ 84 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 85 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 86 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728593.602 * * * * [misc]progress:  [ 87 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538728593.602 * * * * [misc]progress:  [ 88 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 89 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 90 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 91 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 92 / 115 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 93 / 115 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) (cbrt (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 94 / 115 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 95 / 115 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538728593.602 * * * * [misc]progress:  [ 96 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.602 * * * * [misc]progress:  [ 97 / 115 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.602 * * * * [misc]progress:  [ 98 / 115 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538728593.602 * * * * [misc]progress:  [ 99 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1)))>
1538728593.602 * * * * [misc]progress:  [ 100 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538728593.602 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.603 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728593.605 * * [misc]simplify:  iters left: 5 (13 enodes)
1538728593.607 * * [misc]simplify:  iters left: 4 (16 enodes)
1538728593.610 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.610 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1538728593.610 * * * * [misc]progress:  [ 101 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* 1 (sqrt k))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538728593.610 * [enter]simplify:  Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
1538728593.611 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728593.613 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728593.616 * * [misc]simplify:  iters left: 4 (18 enodes)
1538728593.619 * [exit]simplify:  Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))
1538728593.620 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* 1 (sqrt k))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))
1538728593.620 * * * * [misc]progress:  [ 102 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))>
1538728593.620 * [enter]simplify:  Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1538728593.620 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728593.622 * * [misc]simplify:  iters left: 4 (11 enodes)
1538728593.624 * * [misc]simplify:  iters left: 3 (14 enodes)
1538728593.626 * [exit]simplify:  Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1538728593.626 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))
1538728593.626 * * * * [misc]progress:  [ 103 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2)))))>
1538728593.626 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538728593.627 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728593.628 * * [misc]simplify:  iters left: 4 (9 enodes)
1538728593.630 * * [misc]simplify:  iters left: 3 (12 enodes)
1538728593.632 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538728593.632 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2)))))
1538728593.632 * * * * [misc]progress:  [ 104 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))))))>
1538728593.632 * [enter]simplify:  Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
1538728593.635 * * [misc]simplify:  iters left: 6 (35 enodes)
1538728593.651 * * [misc]simplify:  iters left: 5 (99 enodes)
1538728593.691 * * [misc]simplify:  iters left: 4 (298 enodes)
1538728594.102 * [exit]simplify:  Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))
1538728594.102 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))))
1538728594.102 * * * * [misc]progress:  [ 105 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))>
1538728594.103 * [enter]simplify:  Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
1538728594.103 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728594.108 * * [misc]simplify:  iters left: 5 (27 enodes)
1538728594.115 * * [misc]simplify:  iters left: 4 (53 enodes)
1538728594.130 * * [misc]simplify:  iters left: 3 (116 enodes)
1538728594.215 * * [misc]simplify:  iters left: 2 (362 enodes)
1538728594.556 * [exit]simplify:  Simplified to (pow (sqrt (* n 2)) (- 1 k))
1538728594.556 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))))
1538728594.557 * * * * [misc]progress:  [ 106 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))))))>
1538728594.557 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
1538728594.558 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728594.565 * * [misc]simplify:  iters left: 5 (24 enodes)
1538728594.579 * * [misc]simplify:  iters left: 4 (54 enodes)
1538728594.615 * * [misc]simplify:  iters left: 3 (143 enodes)
1538728594.790 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))
1538728594.790 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))))
1538728594.790 * * * * [misc]progress:  [ 107 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728594.790 * [enter]simplify:  Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
1538728594.792 * * [misc]simplify:  iters left: 6 (18 enodes)
1538728594.802 * * [misc]simplify:  iters left: 5 (39 enodes)
1538728594.826 * * [misc]simplify:  iters left: 4 (104 enodes)
1538728594.879 * * [misc]simplify:  iters left: 3 (275 enodes)
1538728595.112 * [exit]simplify:  Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))
1538728595.112 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728595.112 * * * * [misc]progress:  [ 108 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728595.112 * [enter]simplify:  Simplifying (pow PI (- 1/2 (* 1/2 k)))
1538728595.113 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728595.116 * * [misc]simplify:  iters left: 4 (9 enodes)
1538728595.121 * * [misc]simplify:  iters left: 3 (17 enodes)
1538728595.126 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728595.132 * * [misc]simplify:  iters left: 1 (24 enodes)
1538728595.144 * [exit]simplify:  Simplified to (pow PI (- 1/2 (* k 1/2)))
1538728595.144 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728595.144 * * * * [misc]progress:  [ 109 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538728595.145 * [enter]simplify:  Simplifying (pow PI (- 1/2 (* 1/2 k)))
1538728595.145 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728595.148 * * [misc]simplify:  iters left: 4 (9 enodes)
1538728595.153 * * [misc]simplify:  iters left: 3 (17 enodes)
1538728595.158 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728595.164 * * [misc]simplify:  iters left: 1 (24 enodes)
1538728595.177 * [exit]simplify:  Simplified to (pow PI (- 1/2 (* k 1/2)))
1538728595.177 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538728595.177 * * * * [misc]progress:  [ 110 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))>
1538728595.177 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2))))))))))))
1538728595.177 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0)))
1538728595.177 * * * * [misc]progress:  [ 111 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))))))>
1538728595.177 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))))))))
1538728595.177 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0)))
1538728595.178 * * * * [misc]progress:  [ 112 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))))))>
1538728595.178 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2)))))))))
1538728595.178 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0)))
1538728595.178 * * * * [misc]progress:  [ 113 / 115 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))))>
1538728595.178 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))))
1538728595.178 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728595.178 * * * * [misc]progress:  [ 114 / 115 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
1538728595.179 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
1538728595.179 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728595.179 * * * * [misc]progress:  [ 115 / 115 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
1538728595.179 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
1538728595.179 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728595.179 * * * [misc]progress:  adding candidates to table
1538728598.582 * * [misc]progress:  iteration 4 / 4
1538728598.582 * * * [misc]progress:  picking best candidate
1538728598.666 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728598.666 * * * [misc]progress:  localizing error
1538728598.693 * * * [misc]progress:  generating rewritten candidates
1538728598.693 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
1538728598.720 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
1538728598.731 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1)
1538728598.742 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1538728598.829 * * * [misc]progress:  generating series expansions
1538728598.829 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
1538728598.830 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1538728598.830 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1538728598.830 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1538728598.830 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1538728598.830 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1538728598.830 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1538728598.830 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728598.830 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.830 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538728598.830 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728598.831 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.831 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.831 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.831 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.831 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728598.831 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728598.831 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728598.831 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.831 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728598.831 * [misc]taylor:  Taking taylor expansion of n in k
1538728598.831 * [misc]backup-simplify:  Simplify n into n
1538728598.831 * [misc]taylor:  Taking taylor expansion of PI in k
1538728598.831 * [misc]backup-simplify:  Simplify PI into PI
1538728598.831 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728598.831 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728598.831 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728598.832 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.832 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728598.832 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728598.832 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728598.832 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728598.832 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728598.833 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.833 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728598.833 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.833 * [misc]taylor:  Taking taylor expansion of k in n
1538728598.833 * [misc]backup-simplify:  Simplify k into k
1538728598.833 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728598.833 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.833 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728598.833 * [misc]taylor:  Taking taylor expansion of n in n
1538728598.833 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.833 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.833 * [misc]taylor:  Taking taylor expansion of PI in n
1538728598.833 * [misc]backup-simplify:  Simplify PI into PI
1538728598.833 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728598.834 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728598.834 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728598.835 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728598.836 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728598.836 * [misc]backup-simplify:  Simplify (- k) into (- k)
1538728598.836 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1538728598.836 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1538728598.837 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728598.837 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1538728598.838 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1538728598.838 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1538728598.838 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1538728598.838 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1538728598.838 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1538728598.838 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728598.838 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.838 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1538728598.839 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728598.839 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.839 * [misc]taylor:  Taking taylor expansion of k in n
1538728598.839 * [misc]backup-simplify:  Simplify k into k
1538728598.839 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728598.839 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728598.839 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728598.839 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.839 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728598.839 * [misc]taylor:  Taking taylor expansion of n in n
1538728598.839 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.839 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.839 * [misc]taylor:  Taking taylor expansion of PI in n
1538728598.839 * [misc]backup-simplify:  Simplify PI into PI
1538728598.839 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728598.839 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728598.840 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728598.841 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728598.842 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728598.842 * [misc]backup-simplify:  Simplify (- k) into (- k)
1538728598.842 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1538728598.842 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1538728598.843 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728598.843 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1538728598.844 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1538728598.844 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1538728598.844 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1538728598.844 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728598.844 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.845 * [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1538728598.845 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538728598.845 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728598.845 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.845 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.845 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.845 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.845 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538728598.845 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728598.845 * [misc]taylor:  Taking taylor expansion of n in k
1538728598.845 * [misc]backup-simplify:  Simplify n into n
1538728598.845 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728598.845 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728598.845 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728598.845 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728598.845 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.845 * [misc]taylor:  Taking taylor expansion of PI in k
1538728598.845 * [misc]backup-simplify:  Simplify PI into PI
1538728598.845 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728598.846 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728598.846 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.846 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728598.847 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728598.847 * [misc]backup-simplify:  Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1538728598.848 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538728598.849 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538728598.849 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538728598.851 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728598.852 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728598.855 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728598.855 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.855 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.856 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1538728598.856 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728598.857 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538728598.858 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728598.858 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.858 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.858 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.858 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538728598.859 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728598.861 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728598.861 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.861 * [misc]backup-simplify:  Simplify (- 1) into -1
1538728598.861 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538728598.861 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1538728598.862 * [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1538728598.864 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1538728598.865 * [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)))))))
1538728598.866 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728598.867 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538728598.870 * [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
1538728598.871 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.871 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.871 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1538728598.871 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728598.872 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728598.874 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538728598.874 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.874 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.874 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.874 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.875 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538728598.876 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728598.879 * [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
1538728598.879 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.879 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.879 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.880 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728598.881 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538728598.884 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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)))))
1538728598.886 * [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)))))
1538728598.894 * [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)))))
1538728598.895 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1538728598.895 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1538728598.895 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1538728598.895 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728598.895 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728598.895 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1538728598.895 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728598.895 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.895 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538728598.895 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728598.895 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.895 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728598.896 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.896 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.896 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.896 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728598.896 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728598.896 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728598.896 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728598.896 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.896 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728598.896 * [misc]taylor:  Taking taylor expansion of PI in k
1538728598.896 * [misc]backup-simplify:  Simplify PI into PI
1538728598.896 * [misc]taylor:  Taking taylor expansion of n in k
1538728598.896 * [misc]backup-simplify:  Simplify n into n
1538728598.896 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728598.896 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728598.896 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728598.897 * [misc]backup-simplify:  Simplify (- 1) into -1
1538728598.897 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538728598.897 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1538728598.897 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728598.898 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1538728598.898 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728598.898 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.898 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728598.898 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.898 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of k in n
1538728598.898 * [misc]backup-simplify:  Simplify k into k
1538728598.898 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728598.898 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728598.898 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.898 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728598.898 * [misc]taylor:  Taking taylor expansion of PI in n
1538728598.898 * [misc]backup-simplify:  Simplify PI into PI
1538728598.898 * [misc]taylor:  Taking taylor expansion of n in n
1538728598.898 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.898 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.898 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728598.899 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728598.899 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728598.899 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538728598.900 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538728598.900 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1538728598.900 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728598.901 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1538728598.902 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728598.902 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728598.902 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.902 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728598.902 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.902 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of k in n
1538728598.902 * [misc]backup-simplify:  Simplify k into k
1538728598.902 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728598.902 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728598.902 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728598.903 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.903 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728598.903 * [misc]taylor:  Taking taylor expansion of PI in n
1538728598.903 * [misc]backup-simplify:  Simplify PI into PI
1538728598.903 * [misc]taylor:  Taking taylor expansion of n in n
1538728598.903 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.903 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.903 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728598.903 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728598.904 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728598.904 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538728598.904 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538728598.904 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1538728598.904 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728598.905 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1538728598.905 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728598.905 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1538728598.905 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1538728598.905 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728598.905 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.905 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1538728598.905 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538728598.905 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728598.905 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.905 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728598.905 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.905 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.905 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.906 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728598.906 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538728598.906 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538728598.906 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538728598.906 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728598.906 * [misc]backup-simplify:  Simplify 2 into 2
1538728598.906 * [misc]taylor:  Taking taylor expansion of PI in k
1538728598.906 * [misc]backup-simplify:  Simplify PI into PI
1538728598.906 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728598.906 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728598.906 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728598.906 * [misc]taylor:  Taking taylor expansion of n in k
1538728598.906 * [misc]backup-simplify:  Simplify n into n
1538728598.906 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728598.906 * [misc]backup-simplify:  Simplify (- 1) into -1
1538728598.907 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538728598.907 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728598.907 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538728598.907 * [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1538728598.908 * [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538728598.908 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728598.909 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728598.910 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728598.910 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728598.914 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728598.914 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728598.914 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.915 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.915 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1538728598.915 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728598.916 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538728598.917 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728598.917 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.917 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.917 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.917 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.918 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728598.919 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728598.922 * [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
1538728598.922 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728598.922 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.922 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.923 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1538728598.923 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728598.924 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538728598.926 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538728598.926 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.926 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.926 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.926 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.926 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.927 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728598.928 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728598.933 * [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
1538728598.934 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728598.934 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728598.934 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.934 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1538728598.935 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728598.935 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538728598.938 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538728598.938 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.938 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.938 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.938 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1538728598.939 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1538728598.939 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1538728598.939 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728598.939 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.939 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.939 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.939 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.939 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728598.939 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728598.939 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.939 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728598.939 * [misc]backup-simplify:  Simplify -2 into -2
1538728598.939 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728598.939 * [misc]taylor:  Taking taylor expansion of PI in k
1538728598.939 * [misc]backup-simplify:  Simplify PI into PI
1538728598.939 * [misc]taylor:  Taking taylor expansion of n in k
1538728598.939 * [misc]backup-simplify:  Simplify n into n
1538728598.939 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728598.939 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728598.939 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728598.939 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728598.940 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728598.940 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728598.940 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1538728598.940 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728598.940 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.940 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of k in n
1538728598.940 * [misc]backup-simplify:  Simplify k into k
1538728598.940 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728598.940 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728598.940 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.940 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728598.940 * [misc]backup-simplify:  Simplify -2 into -2
1538728598.940 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728598.940 * [misc]taylor:  Taking taylor expansion of PI in n
1538728598.940 * [misc]backup-simplify:  Simplify PI into PI
1538728598.940 * [misc]taylor:  Taking taylor expansion of n in n
1538728598.940 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.940 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.941 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728598.941 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728598.941 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728598.941 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538728598.941 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1538728598.942 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728598.942 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1538728598.943 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728598.943 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728598.943 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.943 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of k in n
1538728598.943 * [misc]backup-simplify:  Simplify k into k
1538728598.943 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728598.943 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728598.943 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.943 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728598.943 * [misc]backup-simplify:  Simplify -2 into -2
1538728598.943 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728598.943 * [misc]taylor:  Taking taylor expansion of PI in n
1538728598.943 * [misc]backup-simplify:  Simplify PI into PI
1538728598.944 * [misc]taylor:  Taking taylor expansion of n in n
1538728598.944 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.944 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.944 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728598.944 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728598.944 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728598.944 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538728598.944 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1538728598.945 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728598.945 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1538728598.946 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728598.946 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728598.946 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728598.946 * [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.946 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.946 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.946 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728598.946 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728598.946 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.946 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538728598.946 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728598.946 * [misc]backup-simplify:  Simplify -2 into -2
1538728598.946 * [misc]taylor:  Taking taylor expansion of PI in k
1538728598.946 * [misc]backup-simplify:  Simplify PI into PI
1538728598.947 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728598.947 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728598.947 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538728598.947 * [misc]taylor:  Taking taylor expansion of n in k
1538728598.947 * [misc]backup-simplify:  Simplify n into n
1538728598.947 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538728598.947 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728598.947 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538728598.948 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538728598.948 * [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1538728598.948 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538728598.949 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728598.949 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728598.950 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728598.951 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728598.953 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538728598.953 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728598.953 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.953 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1538728598.954 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728598.954 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538728598.955 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728598.955 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.955 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.955 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.955 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.956 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728598.957 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728598.961 * [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
1538728598.961 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728598.961 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.961 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1538728598.962 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728598.962 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538728598.964 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538728598.964 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.964 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.964 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.964 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.964 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.965 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728598.966 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728598.972 * [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
1538728598.973 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538728598.973 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728598.973 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1538728598.974 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728598.975 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1538728598.979 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1538728598.979 * [misc]taylor:  Taking taylor expansion of 0 in k
1538728598.979 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.979 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.980 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1538728598.980 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
1538728598.981 * [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1538728598.981 * [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1538728598.981 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728598.981 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728598.981 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.981 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.981 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.981 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728598.981 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728598.982 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728598.982 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728598.982 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728598.982 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.982 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.982 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.982 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728598.982 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728598.983 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728598.983 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.983 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728598.983 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728598.984 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728598.984 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728598.985 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728598.986 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728598.986 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728598.986 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1538728598.986 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1538728598.986 * [misc]approximate:  Taking taylor expansion of (sqrt k) in (k) around 0
1538728598.986 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728598.986 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.986 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.986 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.987 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728598.987 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728598.987 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728598.987 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.987 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.987 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.987 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728598.988 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728598.988 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.988 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728598.989 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728598.989 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728598.990 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728598.990 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728598.991 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1538728598.991 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1538728598.991 * [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1538728598.991 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1538728598.991 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728598.991 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728598.991 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728598.991 * [misc]backup-simplify:  Simplify -1 into -1
1538728598.991 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.991 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.991 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.992 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728598.992 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728598.992 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728598.992 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1538728598.992 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1538728598.993 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728598.993 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728598.993 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728598.993 * [misc]backup-simplify:  Simplify -1 into -1
1538728598.993 * [misc]taylor:  Taking taylor expansion of k in k
1538728598.993 * [misc]backup-simplify:  Simplify 0 into 0
1538728598.993 * [misc]backup-simplify:  Simplify 1 into 1
1538728598.993 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728598.993 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728598.993 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728598.994 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1538728598.994 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728598.994 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538728598.996 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728598.996 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1538728598.997 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538728598.997 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728598.998 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728599.000 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1538728599.000 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538728599.001 * [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1538728599.001 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
1538728599.001 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538728599.001 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538728599.001 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728599.002 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.002 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.002 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.002 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.002 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.002 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.002 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.002 * [misc]backup-simplify:  Simplify PI into PI
1538728599.002 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728599.002 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.002 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.002 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.002 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.002 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.002 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.002 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.002 * [misc]backup-simplify:  Simplify PI into PI
1538728599.002 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.003 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728599.003 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.003 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.004 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728599.004 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728599.006 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728599.007 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728599.007 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.009 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728599.010 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538728599.010 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.013 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728599.015 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538728599.015 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.018 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728599.021 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538728599.021 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.025 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728599.028 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538728599.029 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.035 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538728599.039 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538728599.039 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.039 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538728599.040 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
1538728599.040 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538728599.040 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728599.040 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.040 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.040 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.040 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.040 * [misc]backup-simplify:  Simplify PI into PI
1538728599.040 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.040 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.040 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.040 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.040 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728599.040 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.040 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.040 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.040 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.040 * [misc]backup-simplify:  Simplify PI into PI
1538728599.040 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.040 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.040 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.040 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.041 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728599.041 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728599.042 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728599.042 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728599.042 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.043 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.044 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728599.044 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.045 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.046 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728599.046 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.047 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.048 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728599.048 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.050 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.051 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728599.051 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.053 * [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
1538728599.055 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728599.055 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.056 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538728599.056 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
1538728599.056 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538728599.056 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728599.056 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728599.056 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.056 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.056 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.056 * [misc]backup-simplify:  Simplify PI into PI
1538728599.056 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.056 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.056 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.057 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.057 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728599.057 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728599.057 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.057 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.057 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.057 * [misc]backup-simplify:  Simplify PI into PI
1538728599.057 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.057 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.057 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.057 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.057 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728599.057 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728599.058 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728599.059 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728599.059 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.059 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.060 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538728599.060 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.061 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.062 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728599.062 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.064 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.066 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538728599.066 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.068 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.071 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538728599.071 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.074 * [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
1538728599.077 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538728599.077 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.078 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538728599.078 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1538728599.079 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1538728599.079 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
1538728599.079 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.079 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.079 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.079 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.079 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.079 * [misc]backup-simplify:  Simplify k into k
1538728599.079 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.079 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.079 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.079 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.079 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.079 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.079 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.079 * [misc]backup-simplify:  Simplify PI into PI
1538728599.080 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.080 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728599.081 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.081 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728599.082 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.082 * [misc]backup-simplify:  Simplify (- k) into (- k)
1538728599.082 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1538728599.082 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1538728599.083 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728599.083 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1538728599.084 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1538728599.084 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538728599.084 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.084 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.084 * [misc]backup-simplify:  Simplify k into k
1538728599.084 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.085 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538728599.085 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728599.085 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538728599.085 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728599.085 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.085 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728599.085 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.085 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.085 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.085 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.085 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728599.085 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.085 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728599.085 * [misc]taylor:  Taking taylor expansion of n in k
1538728599.085 * [misc]backup-simplify:  Simplify n into n
1538728599.085 * [misc]taylor:  Taking taylor expansion of PI in k
1538728599.085 * [misc]backup-simplify:  Simplify PI into PI
1538728599.085 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728599.086 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728599.086 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728599.086 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.086 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728599.086 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728599.086 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728599.087 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728599.087 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728599.087 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728599.087 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.087 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.087 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.087 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728599.087 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.088 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728599.088 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728599.088 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.088 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728599.088 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.088 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.088 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.088 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.088 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728599.088 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.088 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538728599.088 * [misc]taylor:  Taking taylor expansion of n in k
1538728599.088 * [misc]backup-simplify:  Simplify n into n
1538728599.088 * [misc]taylor:  Taking taylor expansion of PI in k
1538728599.088 * [misc]backup-simplify:  Simplify PI into PI
1538728599.088 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538728599.089 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538728599.089 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538728599.089 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.089 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728599.089 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728599.089 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538728599.090 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538728599.090 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538728599.090 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728599.090 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.090 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.090 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.090 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728599.090 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.091 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728599.091 * [misc]backup-simplify:  Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
1538728599.091 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728599.091 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.091 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.092 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538728599.092 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538728599.093 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538728599.093 * [misc]backup-simplify:  Simplify (- 1) into -1
1538728599.094 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538728599.094 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1538728599.094 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1538728599.095 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1538728599.096 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1538728599.096 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538728599.096 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728599.096 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.096 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.096 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728599.096 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728599.096 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.096 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.096 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728599.097 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728599.097 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728599.097 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.097 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.097 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.097 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.097 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.097 * [misc]backup-simplify:  Simplify PI into PI
1538728599.097 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.098 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.098 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.099 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728599.099 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728599.099 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728599.099 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.099 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.099 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.099 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538728599.101 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728599.101 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538728599.102 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1538728599.105 * [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
1538728599.105 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.105 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728599.106 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1538728599.106 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1538728599.109 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1538728599.111 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1538728599.111 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1538728599.111 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1538728599.111 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538728599.111 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.111 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.111 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538728599.111 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538728599.111 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728599.111 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.111 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.111 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728599.112 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728599.112 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728599.112 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728599.112 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.112 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.112 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.112 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.112 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.112 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.112 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.112 * [misc]backup-simplify:  Simplify PI into PI
1538728599.112 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.112 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728599.113 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.114 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728599.114 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.115 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728599.115 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.115 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.115 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.115 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.115 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.115 * [misc]backup-simplify:  Simplify PI into PI
1538728599.115 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.116 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.116 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.116 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728599.117 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538728599.117 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728599.117 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.117 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.117 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728599.117 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728599.117 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.117 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.117 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728599.117 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728599.117 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728599.117 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.117 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.117 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.117 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.117 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.118 * [misc]backup-simplify:  Simplify PI into PI
1538728599.118 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.119 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.119 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.119 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728599.120 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728599.121 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538728599.122 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538728599.122 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728599.122 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728599.122 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728599.122 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.123 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728599.123 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.123 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.124 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728599.126 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728599.128 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728599.129 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728599.129 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.129 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.130 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728599.132 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538728599.132 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1538728599.137 * [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
1538728599.137 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.137 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728599.138 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
1538728599.138 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1538728599.141 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (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 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
1538728599.147 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
1538728599.147 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
1538728599.147 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
1538728599.147 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538728599.147 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.147 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.147 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538728599.147 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538728599.147 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728599.147 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.147 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.147 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728599.148 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728599.148 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728599.148 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728599.148 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.148 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.148 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.148 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.148 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.148 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.148 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.148 * [misc]backup-simplify:  Simplify PI into PI
1538728599.148 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.149 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728599.149 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.150 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728599.151 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.151 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728599.151 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.151 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.151 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.151 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.151 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.151 * [misc]backup-simplify:  Simplify PI into PI
1538728599.151 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.152 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.152 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.153 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728599.153 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
1538728599.153 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
1538728599.153 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538728599.153 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.153 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.153 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538728599.153 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728599.153 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.153 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.153 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728599.153 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728599.153 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728599.153 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.153 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.153 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.153 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.153 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.154 * [misc]backup-simplify:  Simplify PI into PI
1538728599.154 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.155 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.155 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.155 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728599.155 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
1538728599.155 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1538728599.155 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.155 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.155 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1538728599.155 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1538728599.155 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538728599.155 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.156 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.156 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538728599.156 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538728599.156 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1538728599.156 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538728599.156 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538728599.156 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.156 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.156 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.156 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.156 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.156 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.156 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.156 * [misc]backup-simplify:  Simplify PI into PI
1538728599.157 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.157 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538728599.157 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.158 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538728599.159 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.159 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728599.159 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538728599.160 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538728599.160 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.160 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.160 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.160 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.160 * [misc]backup-simplify:  Simplify PI into PI
1538728599.160 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538728599.161 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538728599.161 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.161 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538728599.162 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728599.163 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538728599.164 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538728599.165 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728599.165 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538728599.165 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728599.167 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728599.168 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728599.170 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1538728599.171 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1538728599.172 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1538728599.172 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538728599.172 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.173 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728599.173 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.173 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728599.173 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.173 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.174 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728599.176 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538728599.179 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728599.180 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538728599.180 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538728599.182 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538728599.185 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1538728599.187 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728599.189 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728599.190 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538728599.195 * [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
1538728599.199 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538728599.203 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1538728599.205 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538728599.207 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538728599.208 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538728599.211 * [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))))
1538728599.217 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728599.220 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728599.222 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538728599.231 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1538728599.232 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1538728599.232 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
1538728599.232 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1538728599.232 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1538728599.232 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538728599.232 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538728599.232 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1538728599.232 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.232 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.232 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538728599.232 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.232 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.232 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.232 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.233 * [misc]backup-simplify:  Simplify k into k
1538728599.233 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.233 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728599.233 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728599.233 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.233 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.233 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.233 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.233 * [misc]backup-simplify:  Simplify PI into PI
1538728599.233 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.233 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.233 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.233 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.233 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728599.234 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.234 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538728599.234 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538728599.234 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1538728599.235 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728599.236 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1538728599.237 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728599.237 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538728599.237 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.237 * [misc]backup-simplify:  Simplify k into k
1538728599.237 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538728599.237 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538728599.237 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1538728599.237 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1538728599.237 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728599.237 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728599.237 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1538728599.237 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728599.237 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.237 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538728599.237 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728599.237 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.237 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728599.237 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.237 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.237 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.238 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728599.238 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728599.238 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728599.238 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728599.238 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.238 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728599.238 * [misc]taylor:  Taking taylor expansion of PI in k
1538728599.238 * [misc]backup-simplify:  Simplify PI into PI
1538728599.238 * [misc]taylor:  Taking taylor expansion of n in k
1538728599.238 * [misc]backup-simplify:  Simplify n into n
1538728599.238 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728599.238 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728599.238 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728599.238 * [misc]backup-simplify:  Simplify (- 1) into -1
1538728599.239 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538728599.239 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1538728599.239 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728599.239 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1538728599.239 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728599.239 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.239 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.239 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.240 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.240 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728599.240 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1538728599.240 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1538728599.240 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538728599.240 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538728599.240 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1538728599.240 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728599.240 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.240 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538728599.240 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728599.240 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.240 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728599.240 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.240 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.240 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.241 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728599.241 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538728599.241 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538728599.241 * [misc]taylor:  Taking taylor expansion of 2 in k
1538728599.241 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.241 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728599.241 * [misc]taylor:  Taking taylor expansion of PI in k
1538728599.241 * [misc]backup-simplify:  Simplify PI into PI
1538728599.241 * [misc]taylor:  Taking taylor expansion of n in k
1538728599.241 * [misc]backup-simplify:  Simplify n into n
1538728599.241 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728599.241 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538728599.241 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538728599.242 * [misc]backup-simplify:  Simplify (- 1) into -1
1538728599.242 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538728599.242 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1538728599.242 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538728599.242 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1538728599.242 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538728599.242 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.242 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.243 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.243 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.243 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538728599.244 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
1538728599.244 * [misc]taylor:  Taking taylor expansion of 0 in n
1538728599.244 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.244 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.244 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
1538728599.244 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1538728599.244 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1538728599.244 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.244 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.244 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1538728599.244 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1538728599.245 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.245 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.245 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1538728599.245 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538728599.245 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.245 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.245 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.245 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.245 * [misc]backup-simplify:  Simplify k into k
1538728599.245 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.245 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728599.245 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728599.245 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.245 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.245 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.245 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.245 * [misc]backup-simplify:  Simplify PI into PI
1538728599.245 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.245 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.245 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.246 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.246 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728599.246 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.246 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538728599.247 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538728599.247 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728599.248 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1538728599.249 * [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1538728599.250 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728599.250 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
1538728599.251 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1538728599.252 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1538728599.252 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.253 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728599.254 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
1538728599.254 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1538728599.254 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1538728599.254 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.254 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.254 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1538728599.254 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1538728599.254 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.254 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.254 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1538728599.254 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538728599.254 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.254 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.255 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.255 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.255 * [misc]backup-simplify:  Simplify k into k
1538728599.255 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.255 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728599.255 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728599.255 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.255 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.255 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.255 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.255 * [misc]backup-simplify:  Simplify PI into PI
1538728599.255 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.255 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.255 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.255 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.256 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728599.256 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.256 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538728599.256 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538728599.257 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728599.258 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1538728599.259 * [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1538728599.260 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728599.260 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
1538728599.261 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1538728599.262 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1538728599.264 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728599.264 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538728599.268 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538728599.268 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728599.268 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.268 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728599.269 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728599.270 * [misc]backup-simplify:  Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538728599.271 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
1538728599.273 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728599.274 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
1538728599.274 * [misc]backup-simplify:  Simplify (- 0) into 0
1538728599.274 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.274 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.276 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728599.277 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
1538728599.277 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.277 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.277 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.277 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.277 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.277 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.277 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.277 * [misc]backup-simplify:  Simplify k into k
1538728599.277 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.277 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of 2 in n
1538728599.277 * [misc]backup-simplify:  Simplify 2 into 2
1538728599.277 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.277 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.277 * [misc]backup-simplify:  Simplify PI into PI
1538728599.277 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.277 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.277 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.278 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.278 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538728599.279 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538728599.279 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538728599.279 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538728599.280 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538728599.280 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1538728599.281 * [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1538728599.282 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1538728599.283 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
1538728599.284 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1538728599.284 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1538728599.288 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1538728599.289 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
1538728599.289 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
1538728599.289 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1538728599.289 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1538728599.289 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1538728599.289 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1538728599.289 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1538728599.289 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.289 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.289 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538728599.290 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.290 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.290 * [misc]backup-simplify:  Simplify k into k
1538728599.290 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.290 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.290 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.290 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728599.290 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728599.290 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728599.290 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.290 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.290 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.290 * [misc]backup-simplify:  Simplify PI into PI
1538728599.290 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.290 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.290 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.290 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.291 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728599.291 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728599.291 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538728599.292 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1538728599.292 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728599.293 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1538728599.294 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728599.294 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538728599.294 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538728599.294 * [misc]taylor:  Taking taylor expansion of -1 in n
1538728599.294 * [misc]backup-simplify:  Simplify -1 into -1
1538728599.294 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.294 * [misc]backup-simplify:  Simplify k into k
1538728599.294 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538728599.294 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538728599.294 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538728599.294 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538728599.295 * [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
1538728599.295 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1538728599.295 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1538728599.295 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1538728599.295 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1538728599.295 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1538728599.295 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728599.295 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.295 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538728599.296 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728599.296 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.296 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.296 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.296 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728599.296 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728599.296 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.296 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728599.296 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728599.296 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728599.296 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.296 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728599.296 * [misc]taylor:  Taking taylor expansion of PI in k
1538728599.296 * [misc]backup-simplify:  Simplify PI into PI
1538728599.296 * [misc]taylor:  Taking taylor expansion of n in k
1538728599.296 * [misc]backup-simplify:  Simplify n into n
1538728599.296 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728599.296 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728599.297 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728599.297 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728599.297 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728599.297 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728599.298 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1538728599.298 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728599.298 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728599.298 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728599.298 * [misc]backup-simplify:  Simplify -1 into -1
1538728599.298 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.298 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.298 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.298 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728599.298 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.299 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728599.299 * [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
1538728599.299 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1538728599.299 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1538728599.299 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1538728599.299 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1538728599.299 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1538728599.299 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538728599.299 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.299 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538728599.299 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538728599.299 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.300 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.300 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.300 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538728599.300 * [misc]taylor:  Taking taylor expansion of 1 in k
1538728599.300 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.300 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538728599.300 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538728599.300 * [misc]taylor:  Taking taylor expansion of -2 in k
1538728599.300 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.300 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538728599.300 * [misc]taylor:  Taking taylor expansion of PI in k
1538728599.300 * [misc]backup-simplify:  Simplify PI into PI
1538728599.300 * [misc]taylor:  Taking taylor expansion of n in k
1538728599.300 * [misc]backup-simplify:  Simplify n into n
1538728599.300 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538728599.300 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538728599.301 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538728599.301 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538728599.301 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538728599.301 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538728599.301 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1538728599.301 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538728599.301 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538728599.302 * [misc]taylor:  Taking taylor expansion of -1 in k
1538728599.302 * [misc]backup-simplify:  Simplify -1 into -1
1538728599.302 * [misc]taylor:  Taking taylor expansion of k in k
1538728599.302 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.302 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.302 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538728599.302 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538728599.302 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538728599.303 * [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
1538728599.303 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1538728599.303 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.303 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.303 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1538728599.303 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1538728599.303 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.303 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.303 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1538728599.303 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728599.303 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728599.303 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728599.303 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.303 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.303 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.303 * [misc]backup-simplify:  Simplify PI into PI
1538728599.303 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.304 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.304 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.304 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.304 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728599.305 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728599.305 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538728599.305 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.305 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.305 * [misc]backup-simplify:  Simplify k into k
1538728599.305 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.305 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.305 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.306 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728599.306 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538728599.307 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1538728599.308 * [misc]backup-simplify:  Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1538728599.308 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728599.309 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1538728599.310 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1538728599.311 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538728599.312 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538728599.313 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
1538728599.313 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.313 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.313 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.313 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.313 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728599.313 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.313 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.313 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.313 * [misc]backup-simplify:  Simplify PI into PI
1538728599.313 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.313 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.313 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.314 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.314 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728599.314 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728599.314 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538728599.314 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.315 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.315 * [misc]backup-simplify:  Simplify k into k
1538728599.315 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.315 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.315 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.317 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728599.317 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538728599.318 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1538728599.319 * [misc]backup-simplify:  Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1538728599.319 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728599.320 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1538728599.320 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1538728599.321 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1538728599.321 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728599.322 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538728599.322 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538728599.322 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538728599.323 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538728599.325 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538728599.325 * [misc]backup-simplify:  Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
1538728599.326 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
1538728599.327 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538728599.328 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
1538728599.328 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.328 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538728599.329 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538728599.330 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
1538728599.330 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538728599.330 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538728599.330 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538728599.330 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538728599.330 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of -2 in n
1538728599.330 * [misc]backup-simplify:  Simplify -2 into -2
1538728599.330 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538728599.330 * [misc]taylor:  Taking taylor expansion of PI in n
1538728599.330 * [misc]backup-simplify:  Simplify PI into PI
1538728599.330 * [misc]taylor:  Taking taylor expansion of n in n
1538728599.330 * [misc]backup-simplify:  Simplify 0 into 0
1538728599.330 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.330 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538728599.331 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538728599.331 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538728599.331 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538728599.331 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538728599.331 * [misc]taylor:  Taking taylor expansion of k in n
1538728599.331 * [misc]backup-simplify:  Simplify k into k
1538728599.331 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538728599.331 * [misc]taylor:  Taking taylor expansion of 1 in n
1538728599.331 * [misc]backup-simplify:  Simplify 1 into 1
1538728599.332 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538728599.332 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538728599.332 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1538728599.333 * [misc]backup-simplify:  Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1538728599.333 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1538728599.334 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
1538728599.334 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1538728599.335 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
1538728599.337 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1538728599.337 * * * [misc]progress:  simplifying candidates
1538728599.337 * * * * [misc]progress:  [ 1 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538728599.337 * [enter]simplify:  Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
1538728599.338 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728599.344 * * [misc]simplify:  iters left: 5 (29 enodes)
1538728599.358 * * [misc]simplify:  iters left: 4 (59 enodes)
1538728599.393 * * [misc]simplify:  iters left: 3 (142 enodes)
1538728599.509 * * [misc]simplify:  iters left: 2 (497 enodes)
1538728600.418 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
1538728600.418 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))))))
1538728600.418 * * * * [misc]progress:  [ 2 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538728600.418 * * * * [misc]progress:  [ 3 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
1538728600.419 * [enter]simplify:  Simplifying (* (* 2 PI) n)
1538728600.419 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728600.420 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728600.422 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728600.425 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728600.428 * [exit]simplify:  Simplified to (* (* 2 PI) n)
1538728600.428 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))
1538728600.428 * * * * [misc]progress:  [ 4 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
1538728600.428 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ k 2))
1538728600.429 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728600.430 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728600.433 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728600.436 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728600.439 * [exit]simplify:  Simplified to (pow (* 2 (* n PI)) (/ k 2))
1538728600.439 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))))
1538728600.439 * * * * [misc]progress:  [ 5 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
1538728600.439 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1538728600.440 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728600.442 * * [misc]simplify:  iters left: 4 (14 enodes)
1538728600.444 * * [misc]simplify:  iters left: 3 (17 enodes)
1538728600.446 * * [misc]simplify:  iters left: 2 (19 enodes)
1538728600.449 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1538728600.449 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))
1538728600.449 * * * * [misc]progress:  [ 6 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
1538728600.449 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1538728600.449 * * [misc]simplify:  iters left: 5 (6 enodes)
1538728600.452 * * [misc]simplify:  iters left: 4 (14 enodes)
1538728600.456 * * [misc]simplify:  iters left: 3 (17 enodes)
1538728600.461 * * [misc]simplify:  iters left: 2 (19 enodes)
1538728600.466 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1538728600.466 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))
1538728600.466 * * * * [misc]progress:  [ 7 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
1538728600.466 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1538728600.466 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728600.472 * * [misc]simplify:  iters left: 3 (13 enodes)
1538728600.477 * * [misc]simplify:  iters left: 2 (16 enodes)
1538728600.481 * * [misc]simplify:  iters left: 1 (18 enodes)
1538728600.486 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1538728600.486 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))
1538728600.486 * * * * [misc]progress:  [ 8 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
1538728600.486 * [enter]simplify:  Simplifying (/ 1 2)
1538728600.486 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728600.488 * * [misc]simplify:  iters left: 1 (6 enodes)
1538728600.490 * [exit]simplify:  Simplified to 1/2
1538728600.490 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2)))
1538728600.490 * * * * [misc]progress:  [ 9 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
1538728600.490 * [enter]simplify:  Simplifying (pow (* 2 PI) (/ (- 1 k) 2))
1538728600.491 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728600.495 * * [misc]simplify:  iters left: 4 (17 enodes)
1538728600.501 * * [misc]simplify:  iters left: 3 (20 enodes)
1538728600.506 * * [misc]simplify:  iters left: 2 (22 enodes)
1538728600.513 * [exit]simplify:  Simplified to (pow (* 2 PI) (- 1/2 (/ k 2)))
1538728600.513 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (/ (- 1 k) 2)))))
1538728600.513 * * * * [misc]progress:  [ 10 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
1538728600.513 * * * * [misc]progress:  [ 11 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728600.513 * * * * [misc]progress:  [ 12 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728600.513 * * * * [misc]progress:  [ 13 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728600.513 * * * * [misc]progress:  [ 14 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728600.513 * * * * [misc]progress:  [ 15 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728600.513 * * * * [misc]progress:  [ 16 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728600.513 * * * * [misc]progress:  [ 17 / 80 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.513 * * * * [misc]progress:  [ 18 / 80 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.514 * [enter]simplify:  Simplifying (- 1/2)
1538728600.514 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728600.515 * * [misc]simplify:  iters left: 1 (3 enodes)
1538728600.516 * [exit]simplify:  Simplified to -1/2
1538728600.516 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728600.516 * * * * [misc]progress:  [ 19 / 80 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.516 * [enter]simplify:  Simplifying (- 1)
1538728600.517 * * [misc]simplify:  iters left: 2 (2 enodes)
1538728600.518 * * [misc]simplify:  iters left: 1 (5 enodes)
1538728600.519 * [exit]simplify:  Simplified to -1
1538728600.519 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728600.519 * * * * [misc]progress:  [ 20 / 80 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.519 * * * * [misc]progress:  [ 21 / 80 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.519 * * * * [misc]progress:  [ 22 / 80 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.519 * * * * [misc]progress:  [ 23 / 80 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.519 * * * * [misc]progress:  [ 24 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * * * * [misc]progress:  [ 25 / 80 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * * * * [misc]progress:  [ 26 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * * * * [misc]progress:  [ 27 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * * * * [misc]progress:  [ 28 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * * * * [misc]progress:  [ 29 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * * * * [misc]progress:  [ 30 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * * * * [misc]progress:  [ 31 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.520 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1538728600.520 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728600.522 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1538728600.522 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728600.522 * * * * [misc]progress:  [ 32 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.522 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538728600.522 * * [misc]simplify:  iters left: 2 (3 enodes)
1538728600.523 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538728600.523 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728600.523 * * * * [misc]progress:  [ 33 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728600.523 * [enter]simplify:  Simplifying (sqrt k)
1538728600.524 * * [misc]simplify:  iters left: 1 (2 enodes)
1538728600.525 * [exit]simplify:  Simplified to (sqrt k)
1538728600.525 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728600.525 * * * * [misc]progress:  [ 34 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 35 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 36 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 37 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 38 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 39 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 40 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 41 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 42 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
1538728600.525 * * * * [misc]progress:  [ 43 / 80 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
1538728600.525 * * * * [misc]progress:  [ 44 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538728600.526 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538728600.527 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728600.534 * * [misc]simplify:  iters left: 5 (34 enodes)
1538728600.542 * * [misc]simplify:  iters left: 4 (65 enodes)
1538728600.562 * * [misc]simplify:  iters left: 3 (160 enodes)
1538728600.767 * [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1538728600.767 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1538728600.767 * * * * [misc]progress:  [ 45 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538728600.768 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538728600.769 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728600.781 * * [misc]simplify:  iters left: 5 (34 enodes)
1538728600.797 * * [misc]simplify:  iters left: 4 (65 enodes)
1538728600.836 * * [misc]simplify:  iters left: 3 (160 enodes)
1538728601.004 * [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1538728601.004 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1538728601.004 * * * * [misc]progress:  [ 46 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728601.005 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728601.006 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728601.015 * * [misc]simplify:  iters left: 5 (30 enodes)
1538728601.028 * * [misc]simplify:  iters left: 4 (50 enodes)
1538728601.051 * * [misc]simplify:  iters left: 3 (97 enodes)
1538728601.126 * * [misc]simplify:  iters left: 2 (285 enodes)
1538728601.643 * [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k)))
1538728601.643 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k)))))
1538728601.643 * * * * [misc]progress:  [ 47 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538728601.644 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538728601.645 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728601.656 * * [misc]simplify:  iters left: 5 (38 enodes)
1538728601.673 * * [misc]simplify:  iters left: 4 (69 enodes)
1538728601.717 * * [misc]simplify:  iters left: 3 (167 enodes)
1538728601.887 * [exit]simplify:  Simplified to (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k)))
1538728601.887 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k)))))
1538728601.887 * * * * [misc]progress:  [ 48 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538728601.887 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538728601.888 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728601.894 * * [misc]simplify:  iters left: 5 (38 enodes)
1538728601.903 * * [misc]simplify:  iters left: 4 (69 enodes)
1538728601.925 * * [misc]simplify:  iters left: 3 (167 enodes)
1538728602.165 * [exit]simplify:  Simplified to (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k)))
1538728602.165 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k)))))
1538728602.165 * * * * [misc]progress:  [ 49 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728602.165 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728602.167 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728602.177 * * [misc]simplify:  iters left: 5 (34 enodes)
1538728602.190 * * [misc]simplify:  iters left: 4 (54 enodes)
1538728602.215 * * [misc]simplify:  iters left: 3 (105 enodes)
1538728602.288 * * [misc]simplify:  iters left: 2 (329 enodes)
1538728603.000 * [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1538728603.000 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1538728603.000 * * * * [misc]progress:  [ 50 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728603.000 * * * * [misc]progress:  [ 51 / 80 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728603.000 * * * * [misc]progress:  [ 52 / 80 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728603.000 * [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728603.002 * * [misc]simplify:  iters left: 6 (17 enodes)
1538728603.008 * * [misc]simplify:  iters left: 5 (42 enodes)
1538728603.021 * * [misc]simplify:  iters left: 4 (98 enodes)
1538728603.054 * * [misc]simplify:  iters left: 3 (175 enodes)
1538728603.112 * * [misc]simplify:  iters left: 2 (325 enodes)
1538728603.350 * * [misc]simplify:  iters left: 1 (454 enodes)
1538728603.636 * [exit]simplify:  Simplified to (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (sqrt k) k)))
1538728603.636 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (sqrt k) k)))))
1538728603.636 * * * * [misc]progress:  [ 53 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728603.636 * * * * [misc]progress:  [ 54 / 80 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728603.636 * * * * [misc]progress:  [ 55 / 80 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538728603.636 * * * * [misc]progress:  [ 56 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
1538728603.636 * [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
1538728603.637 * * [misc]simplify:  iters left: 6 (9 enodes)
1538728603.643 * * [misc]simplify:  iters left: 5 (17 enodes)
1538728603.650 * * [misc]simplify:  iters left: 4 (26 enodes)
1538728603.657 * * [misc]simplify:  iters left: 3 (27 enodes)
1538728603.664 * [exit]simplify:  Simplified to (sqrt (* PI (* 2 n)))
1538728603.664 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))
1538728603.665 * [enter]simplify:  Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
1538728603.666 * * [misc]simplify:  iters left: 6 (10 enodes)
1538728603.671 * * [misc]simplify:  iters left: 5 (15 enodes)
1538728603.677 * * [misc]simplify:  iters left: 4 (21 enodes)
1538728603.684 * * [misc]simplify:  iters left: 3 (22 enodes)
1538728603.692 * [exit]simplify:  Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k))
1538728603.692 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k))))
1538728603.692 * * * * [misc]progress:  [ 57 / 80 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728603.692 * * * * [misc]progress:  [ 58 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1538728603.692 * [enter]simplify:  Simplifying (pow n (/ (- 1 k) 2))
1538728603.693 * * [misc]simplify:  iters left: 5 (7 enodes)
1538728603.697 * * [misc]simplify:  iters left: 4 (15 enodes)
1538728603.702 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728603.707 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728603.716 * [exit]simplify:  Simplified to (pow n (- 1/2 (/ k 2)))
1538728603.716 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (- 1/2 (/ k 2)))))
1538728603.716 * * * * [misc]progress:  [ 59 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728603.716 * [enter]simplify:  Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538728603.717 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728603.724 * * [misc]simplify:  iters left: 5 (23 enodes)
1538728603.732 * * [misc]simplify:  iters left: 4 (32 enodes)
1538728603.742 * * [misc]simplify:  iters left: 3 (35 enodes)
1538728603.752 * [exit]simplify:  Simplified to (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
1538728603.752 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
1538728603.753 * * * * [misc]progress:  [ 60 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728603.753 * [enter]simplify:  Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538728603.754 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728603.760 * * [misc]simplify:  iters left: 5 (23 enodes)
1538728603.769 * * [misc]simplify:  iters left: 4 (32 enodes)
1538728603.779 * * [misc]simplify:  iters left: 3 (35 enodes)
1538728603.790 * [exit]simplify:  Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
1538728603.790 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))))
1538728603.790 * * * * [misc]progress:  [ 61 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728603.790 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2))
1538728603.791 * * [misc]simplify:  iters left: 5 (10 enodes)
1538728603.797 * * [misc]simplify:  iters left: 4 (22 enodes)
1538728603.805 * * [misc]simplify:  iters left: 3 (31 enodes)
1538728603.815 * * [misc]simplify:  iters left: 2 (34 enodes)
1538728603.826 * [exit]simplify:  Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2))
1538728603.826 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
1538728603.826 * * * * [misc]progress:  [ 62 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728603.826 * [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1538728603.827 * * [misc]simplify:  iters left: 6 (6 enodes)
1538728603.829 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728603.832 * [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1538728603.832 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
1538728603.832 * * * * [misc]progress:  [ 63 / 80 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728603.832 * [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
1538728603.833 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728603.835 * * [misc]simplify:  iters left: 3 (7 enodes)
1538728603.837 * [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
1538728603.837 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
1538728603.837 * * * * [misc]progress:  [ 64 / 80 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728603.837 * * * * [misc]progress:  [ 65 / 80 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538728603.837 * * * * [misc]progress:  [ 66 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
1538728603.837 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ k 2))
1538728603.838 * * [misc]simplify:  iters left: 5 (8 enodes)
1538728603.841 * * [misc]simplify:  iters left: 4 (12 enodes)
1538728603.847 * * [misc]simplify:  iters left: 3 (18 enodes)
1538728603.854 * * [misc]simplify:  iters left: 2 (20 enodes)
1538728603.857 * [exit]simplify:  Simplified to (pow (* 2 (* n PI)) (/ k 2))
1538728603.858 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2))))
1538728603.858 * * * * [misc]progress:  [ 67 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
1538728603.858 * [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538728603.858 * * [misc]simplify:  iters left: 6 (11 enodes)
1538728603.862 * * [misc]simplify:  iters left: 5 (24 enodes)
1538728603.867 * * [misc]simplify:  iters left: 4 (35 enodes)
1538728603.872 * * [misc]simplify:  iters left: 3 (38 enodes)
1538728603.878 * [exit]simplify:  Simplified to (pow (* (* n PI) 2) (- 1/2 (/ k 2)))
1538728603.878 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538728603.878 * * * * [misc]progress:  [ 68 / 80 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1538728603.878 * * * * [misc]progress:  [ 69 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 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)))))))>
1538728603.878 * [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)))))
1538728603.882 * * [misc]simplify:  iters left: 6 (37 enodes)
1538728603.907 * * [misc]simplify:  iters left: 5 (105 enodes)
1538728603.990 * * [misc]simplify:  iters left: 4 (339 enodes)
1538728604.591 * [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)))))
1538728604.591 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (+ (* (* (* (* 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)))))))
1538728604.591 * * * * [misc]progress:  [ 70 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1538728604.591 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1538728604.593 * * [misc]simplify:  iters left: 6 (15 enodes)
1538728604.604 * * [misc]simplify:  iters left: 5 (35 enodes)
1538728604.625 * * [misc]simplify:  iters left: 4 (72 enodes)
1538728604.687 * * [misc]simplify:  iters left: 3 (234 enodes)
1538728604.968 * [exit]simplify:  Simplified to (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))
1538728604.968 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))))
1538728604.968 * * * * [misc]progress:  [ 71 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1538728604.968 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1538728604.970 * * [misc]simplify:  iters left: 6 (16 enodes)
1538728604.980 * * [misc]simplify:  iters left: 5 (35 enodes)
1538728605.004 * * [misc]simplify:  iters left: 4 (76 enodes)
1538728605.065 * * [misc]simplify:  iters left: 3 (272 enodes)
1538728605.408 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))
1538728605.409 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))
1538728605.409 * * * * [misc]progress:  [ 72 / 80 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728605.409 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1538728605.409 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728605.409 * * * * [misc]progress:  [ 73 / 80 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728605.409 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1538728605.409 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728605.409 * * * * [misc]progress:  [ 74 / 80 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538728605.410 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1538728605.410 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728605.410 * * * * [misc]progress:  [ 75 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1538728605.410 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728605.411 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728605.413 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728605.417 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728605.422 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728605.428 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728605.428 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1538728605.428 * * * * [misc]progress:  [ 76 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1538728605.428 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728605.429 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728605.431 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728605.435 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728605.441 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728605.448 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728605.448 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1538728605.448 * * * * [misc]progress:  [ 77 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1538728605.449 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538728605.449 * * [misc]simplify:  iters left: 4 (5 enodes)
1538728605.451 * * [misc]simplify:  iters left: 3 (9 enodes)
1538728605.455 * * [misc]simplify:  iters left: 2 (15 enodes)
1538728605.460 * * [misc]simplify:  iters left: 1 (17 enodes)
1538728605.466 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538728605.466 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1538728605.466 * * * * [misc]progress:  [ 78 / 80 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1538728605.466 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1538728605.466 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728605.466 * * * * [misc]progress:  [ 79 / 80 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
1538728605.467 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1538728605.467 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728605.467 * * * * [misc]progress:  [ 80 / 80 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
1538728605.467 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1538728605.467 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538728605.467 * * * [misc]progress:  adding candidates to table
1538728607.183 * [misc]progress:  [Phase 3 of 3] Extracting.
1538728607.183 * * [misc]regime:  Finding splitpoints for: (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>)
1538728607.187 * * * [misc]regime-changes:  Trying 4 branch expressions: (n (* (* 2 PI) n) k (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538728607.187 * * * * [misc]regimes:  Trying to branch on n from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>)
1538728607.320 * * * * [misc]regimes:  Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>)
1538728607.447 * * * * [misc]regimes:  Trying to branch on k from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>)
1538728607.558 * * * * [misc]regimes:  Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>)
1538728607.747 * * * [misc]regime:  Found split indices: #<option (#s(si 3 256))>
1538728607.748 * [enter]simplify:  Simplifying (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538728607.749 * * [misc]simplify:  iters left: 6 (13 enodes)
1538728607.751 * * [misc]simplify:  iters left: 5 (18 enodes)
1538728607.754 * [exit]simplify:  Simplified to (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2))
1538728607.754 * * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
1538728612.016 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728612.019 * * * * [misc]points:  Sampling 5990 additional inputs, on iter 1 have 2010 / 8000
1538728615.460 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728615.462 * * * * [misc]points:  Sampling 4480 additional inputs, on iter 2 have 3520 / 8000
1538728618.051 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728618.052 * * * * [misc]points:  Sampling 3365 additional inputs, on iter 3 have 4635 / 8000
1538728619.758 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728619.759 * * * * [misc]points:  Sampling 2592 additional inputs, on iter 4 have 5408 / 8000
1538728621.232 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728621.233 * * * * [misc]points:  Sampling 1941 additional inputs, on iter 5 have 6059 / 8000
1538728622.025 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728622.026 * * * * [misc]points:  Sampling 1488 additional inputs, on iter 6 have 6512 / 8000
1538728623.179 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728623.179 * * * * [misc]points:  Sampling 1133 additional inputs, on iter 7 have 6867 / 8000
1538728623.790 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728623.791 * * * * [misc]points:  Sampling 850 additional inputs, on iter 8 have 7150 / 8000
1538728624.193 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728624.193 * * * * [misc]points:  Sampling 624 additional inputs, on iter 9 have 7376 / 8000
1538728624.472 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728624.473 * * * * [misc]points:  Sampling 486 additional inputs, on iter 10 have 7514 / 8000
1538728624.741 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728624.748 * * * * [misc]points:  Sampling 379 additional inputs, on iter 11 have 7621 / 8000
1538728624.943 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728624.943 * * * * [misc]points:  Sampling 293 additional inputs, on iter 12 have 7707 / 8000
1538728625.466 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.466 * * * * [misc]points:  Sampling 225 additional inputs, on iter 13 have 7775 / 8000
1538728625.623 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.623 * * * * [misc]points:  Sampling 167 additional inputs, on iter 14 have 7833 / 8000
1538728625.705 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.705 * * * * [misc]points:  Sampling 130 additional inputs, on iter 15 have 7870 / 8000
1538728625.771 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.771 * * * * [misc]points:  Sampling 98 additional inputs, on iter 16 have 7902 / 8000
1538728625.846 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.846 * * * * [misc]points:  Sampling 78 additional inputs, on iter 17 have 7922 / 8000
1538728625.883 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.883 * * * * [misc]points:  Sampling 59 additional inputs, on iter 18 have 7941 / 8000
1538728625.913 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.914 * * * * [misc]points:  Sampling 45 additional inputs, on iter 19 have 7955 / 8000
1538728625.927 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.927 * * * * [misc]points:  Sampling 35 additional inputs, on iter 20 have 7965 / 8000
1538728625.939 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.939 * * * * [misc]points:  Sampling 23 additional inputs, on iter 21 have 7977 / 8000
1538728625.948 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.948 * * * * [misc]points:  Sampling 16 additional inputs, on iter 22 have 7984 / 8000
1538728625.992 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728625.992 * * * * [misc]points:  Sampling 11 additional inputs, on iter 23 have 7989 / 8000
1538728626.007 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728626.007 * * * * [misc]points:  Sampling 9 additional inputs, on iter 24 have 7991 / 8000
1538728626.016 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728626.016 * * * * [misc]points:  Sampling 7 additional inputs, on iter 25 have 7993 / 8000
1538728626.022 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728626.022 * * * * [misc]points:  Sampling 5 additional inputs, on iter 26 have 7995 / 8000
1538728626.026 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728626.026 * * * * [misc]points:  Sampling 4 additional inputs, on iter 27 have 7997 / 8000
1538728626.029 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538728626.030 * * * * [exit]points:  Sampled 8000 points with exact outputs