1538733351.214 * [misc]progress:  [Phase 1 of 3] Setting up.
1538733351.214 * * * [misc]progress:  [1/2] Preparing points
1538733351.214 * * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
1538733351.338 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.338 * * * * [misc]points:  Sampling 195 additional inputs, on iter 1 have 61 / 256
1538733351.487 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.487 * * * * [misc]points:  Sampling 144 additional inputs, on iter 2 have 112 / 256
1538733351.548 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.548 * * * * [misc]points:  Sampling 105 additional inputs, on iter 3 have 151 / 256
1538733351.576 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.576 * * * * [misc]points:  Sampling 80 additional inputs, on iter 4 have 176 / 256
1538733351.610 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.610 * * * * [misc]points:  Sampling 59 additional inputs, on iter 5 have 197 / 256
1538733351.662 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.662 * * * * [misc]points:  Sampling 49 additional inputs, on iter 6 have 207 / 256
1538733351.679 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.679 * * * * [misc]points:  Sampling 40 additional inputs, on iter 7 have 216 / 256
1538733351.691 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.691 * * * * [misc]points:  Sampling 31 additional inputs, on iter 8 have 225 / 256
1538733351.703 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.703 * * * * [misc]points:  Sampling 26 additional inputs, on iter 9 have 230 / 256
1538733351.712 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.712 * * * * [misc]points:  Sampling 20 additional inputs, on iter 10 have 236 / 256
1538733351.720 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.720 * * * * [misc]points:  Sampling 15 additional inputs, on iter 11 have 241 / 256
1538733351.727 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.727 * * * * [misc]points:  Sampling 9 additional inputs, on iter 12 have 247 / 256
1538733351.732 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.732 * * * * [misc]points:  Sampling 6 additional inputs, on iter 13 have 250 / 256
1538733351.736 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.736 * * * * [misc]points:  Sampling 4 additional inputs, on iter 14 have 253 / 256
1538733351.740 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.740 * * * * [misc]points:  Sampling 4 additional inputs, on iter 15 have 254 / 256
1538733351.745 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.745 * * * * [misc]points:  Sampling 4 additional inputs, on iter 16 have 255 / 256
1538733351.749 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733351.749 * * * * [exit]points:  Sampled 256 points with exact outputs
1538733351.749 * * * [misc]progress:  [2/2] Setting up program.
1538733351.755 * [misc]progress:  [Phase 2 of 3] Improving.
1538733351.755 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538733351.779 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733351.783 * * [misc]simplify:  iters left: 5 (28 enodes)
1538733351.791 * * [misc]simplify:  iters left: 4 (44 enodes)
1538733351.800 * * [misc]simplify:  iters left: 3 (54 enodes)
1538733351.806 * * [misc]simplify:  iters left: 2 (57 enodes)
1538733351.814 * * [misc]simplify:  iters left: 1 (65 enodes)
1538733351.825 * [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1538733351.836 * * [misc]progress:  iteration 1 / 4
1538733351.837 * * * [misc]progress:  picking best candidate
1538733351.847 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1538733351.847 * * * [misc]progress:  localizing error
1538733351.892 * * * [misc]progress:  generating rewritten candidates
1538733351.892 * * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
1538733351.917 * * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
1538733351.942 * * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
1538733352.033 * * * [misc]progress:  generating series expansions
1538733352.033 * * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
1538733352.033 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1538733352.033 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1538733352.033 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538733352.033 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538733352.033 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538733352.033 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733352.033 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.033 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.033 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733352.033 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.033 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.033 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.033 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.034 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.034 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733352.034 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733352.034 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.034 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.034 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733352.034 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.034 * [misc]backup-simplify:  Simplify n into n
1538733352.034 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.034 * [misc]backup-simplify:  Simplify PI into PI
1538733352.034 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733352.034 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733352.034 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733352.034 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733352.034 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.034 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.034 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733352.035 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733352.035 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.035 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.035 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.035 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.035 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.035 * [misc]backup-simplify:  Simplify k into k
1538733352.035 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.035 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.035 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733352.035 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.035 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.035 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.035 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.035 * [misc]backup-simplify:  Simplify PI into PI
1538733352.035 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733352.035 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733352.036 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733352.036 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733352.037 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.037 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733352.037 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733352.037 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733352.037 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.038 * [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))))
1538733352.038 * [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)))))
1538733352.038 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.038 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.038 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.038 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.038 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.038 * [misc]backup-simplify:  Simplify k into k
1538733352.038 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.038 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.038 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733352.038 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.038 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.038 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.038 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.038 * [misc]backup-simplify:  Simplify PI into PI
1538733352.039 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733352.039 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733352.039 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733352.040 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733352.040 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.040 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733352.040 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733352.040 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733352.041 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.041 * [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))))
1538733352.042 * [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)))))
1538733352.042 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.042 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.042 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.042 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.042 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.042 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.042 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.042 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.042 * [misc]backup-simplify:  Simplify n into n
1538733352.042 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733352.042 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733352.042 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.042 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.042 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.042 * [misc]backup-simplify:  Simplify PI into PI
1538733352.042 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.043 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.043 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733352.043 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.043 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.043 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.044 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538733352.044 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538733352.045 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538733352.045 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733352.046 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733352.048 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733352.048 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538733352.048 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.048 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.049 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.049 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538733352.050 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733352.050 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.050 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.050 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.051 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538733352.052 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733352.053 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733352.054 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.054 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733352.054 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733352.054 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733352.054 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538733352.056 * [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)))))))
1538733352.057 * [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)))))))
1538733352.058 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.059 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538733352.062 * [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
1538733352.063 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538733352.063 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.063 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.063 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.064 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733352.065 * [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
1538733352.065 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.065 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.066 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.066 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.070 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538733352.071 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.074 * [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
1538733352.074 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.075 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733352.075 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.075 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.075 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733352.078 * [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)))))
1538733352.082 * [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)))))
1538733352.091 * [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)))))
1538733352.091 * [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))))
1538733352.091 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1538733352.091 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733352.091 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733352.091 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733352.091 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733352.091 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.091 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.091 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.091 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.092 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.092 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.092 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.092 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.092 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.092 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.092 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733352.092 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733352.092 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.092 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.092 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733352.092 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.092 * [misc]backup-simplify:  Simplify PI into PI
1538733352.092 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.092 * [misc]backup-simplify:  Simplify n into n
1538733352.092 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733352.093 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733352.093 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733352.093 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.093 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733352.093 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733352.094 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733352.094 * [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))))
1538733352.094 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.094 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.094 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.094 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.094 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.094 * [misc]backup-simplify:  Simplify k into k
1538733352.094 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.094 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733352.094 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.095 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.095 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.095 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.095 * [misc]backup-simplify:  Simplify PI into PI
1538733352.095 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.095 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.095 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.095 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.095 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.096 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.096 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.096 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733352.096 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733352.097 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.098 * [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)))
1538733352.099 * [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))))
1538733352.099 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.099 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.099 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.099 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.099 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.099 * [misc]backup-simplify:  Simplify k into k
1538733352.099 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.099 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.099 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.099 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.099 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.099 * [misc]backup-simplify:  Simplify PI into PI
1538733352.099 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.099 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.099 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.100 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.100 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.101 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.101 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.101 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733352.101 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733352.102 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.102 * [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)))
1538733352.103 * [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))))
1538733352.103 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538733352.103 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538733352.103 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733352.103 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.103 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.104 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.104 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.104 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.104 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.104 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.104 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.104 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.104 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.104 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538733352.104 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733352.104 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733352.104 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.104 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.104 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.104 * [misc]backup-simplify:  Simplify PI into PI
1538733352.104 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.105 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.105 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733352.105 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.105 * [misc]backup-simplify:  Simplify n into n
1538733352.105 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733352.105 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.105 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733352.106 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733352.106 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733352.106 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538733352.107 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538733352.107 * [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))))
1538733352.108 * [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))))
1538733352.109 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733352.109 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733352.111 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733352.111 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733352.112 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733352.112 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.112 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.112 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.113 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538733352.114 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733352.114 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.114 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.114 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.114 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.115 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.116 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.119 * [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
1538733352.119 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.119 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733352.120 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.120 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.120 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.121 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538733352.122 * [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
1538733352.122 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.122 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.122 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.122 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.122 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.123 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.124 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.131 * [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
1538733352.131 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.131 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538733352.131 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.131 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.132 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.133 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538733352.135 * [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
1538733352.135 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.135 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.135 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.136 * [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)))))
1538733352.136 * [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))
1538733352.136 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1538733352.136 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.136 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.136 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.136 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.136 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.136 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.136 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.136 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.136 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733352.136 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.136 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733352.136 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.136 * [misc]backup-simplify:  Simplify PI into PI
1538733352.136 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.136 * [misc]backup-simplify:  Simplify n into n
1538733352.136 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733352.136 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733352.137 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733352.137 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.137 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.137 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733352.137 * [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)))
1538733352.137 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.137 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.137 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.137 * [misc]backup-simplify:  Simplify k into k
1538733352.137 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.137 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.137 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.137 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733352.137 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.137 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.137 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.137 * [misc]backup-simplify:  Simplify PI into PI
1538733352.137 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.137 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.137 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.138 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.138 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.138 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733352.138 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.138 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733352.139 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.139 * [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)))
1538733352.140 * [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))))
1538733352.140 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.140 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.140 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.140 * [misc]backup-simplify:  Simplify k into k
1538733352.140 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.140 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.140 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.140 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733352.140 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.140 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.140 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.140 * [misc]backup-simplify:  Simplify PI into PI
1538733352.140 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.140 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.140 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.140 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.141 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.141 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733352.141 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.141 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733352.142 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.142 * [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)))
1538733352.142 * [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))))
1538733352.143 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.143 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.143 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.143 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.143 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.143 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.143 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.143 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.143 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538733352.143 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733352.143 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.143 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.143 * [misc]backup-simplify:  Simplify PI into PI
1538733352.143 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.144 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733352.144 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733352.144 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.144 * [misc]backup-simplify:  Simplify n into n
1538733352.144 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733352.144 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.144 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.144 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733352.144 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538733352.145 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538733352.145 * [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))))
1538733352.146 * [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))))
1538733352.147 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733352.147 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733352.149 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538733352.149 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733352.149 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733352.149 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.150 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.150 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538733352.151 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733352.151 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.151 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.151 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.151 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.152 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.153 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.157 * [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
1538733352.157 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.157 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733352.157 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.158 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.159 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538733352.160 * [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
1538733352.160 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.160 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.160 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.160 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.160 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.161 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.162 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.168 * [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
1538733352.168 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.169 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538733352.169 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.169 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.170 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1538733352.172 * [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
1538733352.172 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.172 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.172 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.173 * [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)))))
1538733352.173 * * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
1538733352.175 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538733352.175 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538733352.175 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733352.175 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.175 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.175 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733352.175 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.175 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.175 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.175 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.175 * [misc]backup-simplify:  Simplify PI into PI
1538733352.175 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733352.175 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.175 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.175 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733352.175 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.175 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.175 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.175 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.175 * [misc]backup-simplify:  Simplify PI into PI
1538733352.176 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733352.176 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733352.176 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.177 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733352.177 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733352.178 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.179 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733352.180 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733352.180 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.182 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.184 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538733352.184 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.186 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733352.188 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538733352.189 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.192 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733352.194 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538733352.194 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.198 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733352.201 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538733352.202 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.206 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538733352.211 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538733352.211 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.211 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538733352.211 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538733352.211 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538733352.211 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733352.211 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.212 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.212 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.212 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.212 * [misc]backup-simplify:  Simplify PI into PI
1538733352.212 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.212 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.212 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.212 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.212 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733352.212 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.212 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.212 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.212 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.212 * [misc]backup-simplify:  Simplify PI into PI
1538733352.212 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.212 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.213 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.213 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.213 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.213 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.215 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733352.215 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733352.216 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.217 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.218 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.218 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.220 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.222 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.222 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.224 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.226 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733352.226 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.229 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.232 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733352.232 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.235 * [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
1538733352.237 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733352.237 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.237 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538733352.237 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538733352.237 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538733352.237 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733352.238 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733352.238 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.238 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.238 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.238 * [misc]backup-simplify:  Simplify PI into PI
1538733352.238 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.238 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.238 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.238 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.238 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733352.238 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733352.238 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.238 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.238 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.238 * [misc]backup-simplify:  Simplify PI into PI
1538733352.238 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.238 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.238 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.238 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.239 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.239 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.239 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733352.240 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733352.240 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.241 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.241 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.241 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.242 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.243 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.244 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.245 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.246 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733352.246 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.247 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.249 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733352.249 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.250 * [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
1538733352.252 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733352.252 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.253 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538733352.253 * * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
1538733352.253 * [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))))
1538733352.253 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1538733352.253 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538733352.253 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733352.253 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.253 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.253 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.253 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.253 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.254 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733352.254 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733352.254 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.254 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.254 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.254 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.254 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.254 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.254 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.254 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.254 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.254 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733352.254 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.254 * [misc]backup-simplify:  Simplify n into n
1538733352.254 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.254 * [misc]backup-simplify:  Simplify PI into PI
1538733352.254 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733352.254 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733352.254 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733352.255 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733352.255 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.255 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.255 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733352.255 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733352.255 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.255 * [misc]backup-simplify:  Simplify k into k
1538733352.255 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.255 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538733352.255 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733352.255 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538733352.255 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.255 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.255 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733352.255 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.255 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.255 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.255 * [misc]backup-simplify:  Simplify k into k
1538733352.256 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733352.256 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733352.256 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.256 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.256 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733352.256 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.256 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.256 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.256 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.256 * [misc]backup-simplify:  Simplify PI into PI
1538733352.256 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733352.256 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733352.256 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733352.257 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733352.257 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.257 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733352.257 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733352.257 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733352.258 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.258 * [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))))
1538733352.259 * [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)))))
1538733352.259 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.259 * [misc]backup-simplify:  Simplify k into k
1538733352.259 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.259 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538733352.259 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733352.259 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538733352.259 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.259 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.259 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.259 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.259 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.259 * [misc]backup-simplify:  Simplify k into k
1538733352.259 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.259 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.259 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733352.259 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.259 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.259 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.259 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.259 * [misc]backup-simplify:  Simplify PI into PI
1538733352.260 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733352.260 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733352.260 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733352.261 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733352.261 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.261 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733352.261 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733352.261 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733352.262 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.262 * [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))))
1538733352.263 * [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)))))
1538733352.263 * [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)))
1538733352.263 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1538733352.263 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538733352.263 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538733352.263 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733352.263 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.263 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.263 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733352.263 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.263 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.263 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.263 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.263 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.263 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538733352.263 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733352.263 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.263 * [misc]backup-simplify:  Simplify n into n
1538733352.263 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733352.264 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733352.264 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733352.264 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.264 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.264 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.264 * [misc]backup-simplify:  Simplify PI into PI
1538733352.264 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.264 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.264 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733352.264 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.264 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.265 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.265 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538733352.266 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538733352.266 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733352.266 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.266 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.266 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.266 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.266 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.266 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733352.266 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733352.267 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1538733352.267 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.268 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733352.269 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733352.272 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733352.272 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538733352.272 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.273 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.273 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.274 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538733352.276 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733352.277 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1538733352.277 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.277 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.278 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538733352.279 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733352.282 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733352.282 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.282 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733352.283 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733352.283 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733352.284 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538733352.287 * [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)))))))
1538733352.289 * [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)))))))
1538733352.290 * [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)))))))
1538733352.292 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.294 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538733352.298 * [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
1538733352.298 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538733352.298 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.298 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.299 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.299 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733352.301 * [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
1538733352.302 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.303 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1538733352.304 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1538733352.304 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.304 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.304 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.304 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733352.304 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733352.306 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538733352.306 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.310 * [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
1538733352.310 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.310 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733352.310 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.310 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.311 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733352.313 * [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)))))
1538733352.317 * [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))))))))
1538733352.319 * [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))))))))
1538733352.320 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733352.322 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538733352.328 * [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
1538733352.328 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1538733352.328 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.329 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.329 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733352.330 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1538733352.334 * [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
1538733352.335 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.335 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1538733352.336 * [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
1538733352.336 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.336 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.336 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.336 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.337 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.338 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733352.341 * [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
1538733352.343 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.353 * [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
1538733352.353 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.353 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538733352.353 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.353 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.355 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1538733352.362 * [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)))))))
1538733352.383 * [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))))))))))))))
1538733352.392 * [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))))))))))))))
1538733352.404 * [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))))))))))))))))))))))
1538733352.405 * [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)))))
1538733352.405 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1538733352.405 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.405 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.405 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.405 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733352.405 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733352.405 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.405 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.405 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.405 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.405 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.405 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.405 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.406 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.406 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.406 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733352.406 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733352.406 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.406 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.406 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733352.406 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.406 * [misc]backup-simplify:  Simplify PI into PI
1538733352.406 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.406 * [misc]backup-simplify:  Simplify n into n
1538733352.406 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733352.406 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733352.406 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733352.406 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.407 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733352.407 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733352.407 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733352.407 * [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))))
1538733352.407 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733352.407 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538733352.407 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.407 * [misc]backup-simplify:  Simplify k into k
1538733352.407 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538733352.407 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538733352.407 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733352.407 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733352.407 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733352.407 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733352.407 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.407 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.407 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.407 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.407 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.408 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.408 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.408 * [misc]backup-simplify:  Simplify k into k
1538733352.408 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.408 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733352.408 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733352.408 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.408 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.408 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.408 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.408 * [misc]backup-simplify:  Simplify PI into PI
1538733352.408 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.408 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.408 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.408 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.409 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.409 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.409 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.410 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733352.410 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733352.410 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.411 * [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)))
1538733352.412 * [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))))
1538733352.412 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733352.412 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538733352.412 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.412 * [misc]backup-simplify:  Simplify k into k
1538733352.412 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538733352.412 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538733352.412 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733352.412 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733352.412 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733352.412 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733352.412 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.412 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.412 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.412 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.412 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.412 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.413 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.413 * [misc]backup-simplify:  Simplify k into k
1538733352.413 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.413 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733352.413 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733352.413 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733352.413 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.413 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.413 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.413 * [misc]backup-simplify:  Simplify PI into PI
1538733352.413 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.413 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.413 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.413 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.414 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.414 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.414 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.414 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733352.414 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733352.415 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.416 * [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)))
1538733352.417 * [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))))
1538733352.418 * [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))
1538733352.418 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1538733352.418 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538733352.418 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538733352.418 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733352.418 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.418 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.418 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.418 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.418 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.418 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.418 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.418 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.418 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.419 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.419 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538733352.419 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733352.419 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733352.419 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733352.419 * [misc]backup-simplify:  Simplify 2 into 2
1538733352.419 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.419 * [misc]backup-simplify:  Simplify PI into PI
1538733352.421 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733352.422 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733352.422 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733352.422 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.422 * [misc]backup-simplify:  Simplify n into n
1538733352.422 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733352.423 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.423 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733352.423 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733352.423 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733352.424 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538733352.424 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538733352.425 * [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))))
1538733352.425 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733352.425 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.425 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.425 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.425 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733352.426 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733352.427 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1538733352.427 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.428 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733352.429 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733352.432 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733352.432 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733352.432 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733352.432 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.433 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.433 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.434 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538733352.436 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733352.437 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1538733352.437 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.437 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.437 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.438 * [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))))))
1538733352.439 * [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))))))
1538733352.440 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.442 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.447 * [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
1538733352.448 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.448 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733352.448 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.448 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.449 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.450 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538733352.453 * [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
1538733352.453 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1538733352.454 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1538733352.454 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.454 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.454 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.455 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.456 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733352.457 * [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))))))
1538733352.458 * [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))))))
1538733352.460 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.461 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733352.470 * [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
1538733352.471 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.471 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538733352.471 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733352.471 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.472 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733352.473 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538733352.477 * [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
1538733352.478 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1538733352.479 * [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
1538733352.479 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.479 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.479 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.479 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.479 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.481 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733352.482 * [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))))))
1538733352.482 * [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))))))
1538733352.486 * [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))))))))
1538733352.487 * [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)))
1538733352.487 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1538733352.487 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.487 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.487 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.487 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.487 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.487 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.487 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.487 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.487 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733352.487 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.487 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733352.487 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.488 * [misc]backup-simplify:  Simplify PI into PI
1538733352.488 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.488 * [misc]backup-simplify:  Simplify n into n
1538733352.488 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733352.488 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733352.488 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733352.488 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.488 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.489 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733352.489 * [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)))
1538733352.489 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733352.489 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733352.489 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733352.489 * [misc]backup-simplify:  Simplify -1 into -1
1538733352.489 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.489 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.489 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.489 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733352.489 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733352.490 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733352.490 * [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))))
1538733352.490 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538733352.490 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733352.490 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733352.490 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733352.491 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733352.491 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.491 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.491 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.491 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.491 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.491 * [misc]backup-simplify:  Simplify k into k
1538733352.491 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.491 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.491 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.491 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733352.491 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733352.491 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733352.491 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.491 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.491 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.491 * [misc]backup-simplify:  Simplify PI into PI
1538733352.491 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.491 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.491 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.491 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.492 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.492 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733352.492 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.492 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733352.493 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.494 * [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)))
1538733352.495 * [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))))
1538733352.495 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538733352.495 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538733352.495 * [misc]taylor:  Taking taylor expansion of -1 in n
1538733352.495 * [misc]backup-simplify:  Simplify -1 into -1
1538733352.495 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.495 * [misc]backup-simplify:  Simplify k into k
1538733352.495 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538733352.495 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538733352.495 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538733352.495 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538733352.496 * [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)))
1538733352.496 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538733352.496 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733352.496 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733352.496 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733352.496 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733352.496 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733352.496 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.496 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.496 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733352.496 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.496 * [misc]backup-simplify:  Simplify k into k
1538733352.496 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733352.497 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733352.497 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.497 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733352.497 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733352.497 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733352.497 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.497 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733352.497 * [misc]taylor:  Taking taylor expansion of PI in n
1538733352.497 * [misc]backup-simplify:  Simplify PI into PI
1538733352.497 * [misc]taylor:  Taking taylor expansion of n in n
1538733352.497 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.497 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.497 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733352.497 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.498 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733352.498 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733352.498 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733352.499 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.500 * [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)))
1538733352.500 * [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))))
1538733352.500 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538733352.500 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538733352.500 * [misc]taylor:  Taking taylor expansion of -1 in n
1538733352.500 * [misc]backup-simplify:  Simplify -1 into -1
1538733352.500 * [misc]taylor:  Taking taylor expansion of k in n
1538733352.500 * [misc]backup-simplify:  Simplify k into k
1538733352.501 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538733352.501 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538733352.501 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538733352.501 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538733352.502 * [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)))
1538733352.502 * [misc]taylor:  Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.502 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.502 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.502 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.502 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.502 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733352.502 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733352.502 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733352.502 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538733352.502 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733352.502 * [misc]backup-simplify:  Simplify -2 into -2
1538733352.503 * [misc]taylor:  Taking taylor expansion of PI in k
1538733352.503 * [misc]backup-simplify:  Simplify PI into PI
1538733352.503 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733352.503 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733352.503 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733352.503 * [misc]taylor:  Taking taylor expansion of n in k
1538733352.504 * [misc]backup-simplify:  Simplify n into n
1538733352.504 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733352.504 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733352.504 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733352.504 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733352.505 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538733352.505 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538733352.506 * [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))))
1538733352.506 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733352.506 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733352.506 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733352.506 * [misc]backup-simplify:  Simplify -1 into -1
1538733352.506 * [misc]taylor:  Taking taylor expansion of k in k
1538733352.506 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.506 * [misc]backup-simplify:  Simplify 1 into 1
1538733352.506 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733352.506 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733352.507 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733352.508 * [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)))))
1538733352.509 * [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)))))
1538733352.510 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733352.511 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733352.514 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538733352.514 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733352.514 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733352.514 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.515 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.516 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538733352.518 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733352.519 * [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
1538733352.520 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.520 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.520 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.520 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538733352.521 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733352.522 * [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))))))
1538733352.523 * [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))))))
1538733352.525 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.526 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733352.532 * [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
1538733352.532 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.533 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733352.533 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733352.533 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733352.534 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538733352.537 * [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
1538733352.537 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733352.538 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1538733352.539 * [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
1538733352.539 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733352.539 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.540 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.540 * [misc]backup-simplify:  Simplify 0 into 0
1538733352.540 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733352.541 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733352.544 * [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))))))
1538733352.545 * [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))))))
1538733352.548 * [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)))))))))))
1538733352.549 * * * [misc]progress:  simplifying candidates
1538733352.549 * * * * [misc]progress:  [ 1 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538733352.549 * * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538733352.549 * * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1538733352.549 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1538733352.551 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733352.556 * * [misc]simplify:  iters left: 5 (21 enodes)
1538733352.568 * * [misc]simplify:  iters left: 4 (47 enodes)
1538733352.600 * * [misc]simplify:  iters left: 3 (113 enodes)
1538733352.692 * * [misc]simplify:  iters left: 2 (328 enodes)
1538733353.251 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1538733353.252 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k)))
1538733353.252 * * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1538733353.252 * * * * [misc]progress:  [ 5 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1538733353.252 * [enter]simplify:  Simplifying (* PI (* n 2))
1538733353.253 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733353.256 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733353.259 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733353.265 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733353.271 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1538733353.271 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1538733353.271 * * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1538733353.271 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538733353.272 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733353.277 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733353.282 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733353.289 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733353.295 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538733353.295 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1538733353.295 * * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
1538733353.296 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538733353.296 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733353.299 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733353.302 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733353.305 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538733353.305 * [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)))
1538733353.305 * * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1538733353.306 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538733353.306 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733353.309 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733353.312 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733353.316 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538733353.316 * [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)))
1538733353.316 * * * * [misc]progress:  [ 9 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.316 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538733353.316 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733353.319 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733353.322 * * [misc]simplify:  iters left: 2 (10 enodes)
1538733353.325 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538733353.325 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))
1538733353.325 * * * * [misc]progress:  [ 10 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1538733353.326 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538733353.326 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733353.331 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733353.337 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733353.344 * * [misc]simplify:  iters left: 2 (22 enodes)
1538733353.352 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538733353.352 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1538733353.352 * * * * [misc]progress:  [ 11 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1538733353.352 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538733353.353 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733353.357 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733353.363 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733353.369 * * [misc]simplify:  iters left: 2 (22 enodes)
1538733353.372 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538733353.372 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1538733353.372 * * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
1538733353.373 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538733353.373 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733353.374 * * [misc]simplify:  iters left: 4 (9 enodes)
1538733353.376 * * [misc]simplify:  iters left: 3 (12 enodes)
1538733353.378 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538733353.378 * [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)))
1538733353.378 * * * * [misc]progress:  [ 13 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 15 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 16 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 19 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 21 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 22 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.378 * * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.379 * * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.379 * * * * [misc]progress:  [ 28 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.379 * * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.379 * * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1538733353.379 * * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733353.379 * * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733353.379 * * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1538733353.379 * * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1538733353.379 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1538733353.380 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733353.383 * * [misc]simplify:  iters left: 5 (27 enodes)
1538733353.392 * * [misc]simplify:  iters left: 4 (55 enodes)
1538733353.425 * * [misc]simplify:  iters left: 3 (144 enodes)
1538733353.581 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1538733353.581 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1538733353.581 * * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1538733353.581 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1538733353.582 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733353.586 * * [misc]simplify:  iters left: 5 (27 enodes)
1538733353.598 * * [misc]simplify:  iters left: 4 (55 enodes)
1538733353.634 * * [misc]simplify:  iters left: 3 (144 enodes)
1538733353.801 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1538733353.801 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1538733353.801 * * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1538733353.802 * [enter]simplify:  Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))
1538733353.802 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733353.806 * * [misc]simplify:  iters left: 5 (24 enodes)
1538733353.812 * * [misc]simplify:  iters left: 4 (43 enodes)
1538733353.822 * * [misc]simplify:  iters left: 3 (73 enodes)
1538733353.859 * * [misc]simplify:  iters left: 2 (220 enodes)
1538733354.162 * [exit]simplify:  Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1538733354.162 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1538733354.163 * * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733354.163 * * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733354.163 * * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1538733354.163 * [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)))
1538733354.165 * * [misc]simplify:  iters left: 6 (16 enodes)
1538733354.174 * * [misc]simplify:  iters left: 5 (31 enodes)
1538733354.190 * * [misc]simplify:  iters left: 4 (67 enodes)
1538733354.225 * * [misc]simplify:  iters left: 3 (124 enodes)
1538733354.281 * * [misc]simplify:  iters left: 2 (195 enodes)
1538733354.338 * * [misc]simplify:  iters left: 1 (309 enodes)
1538733354.553 * [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))))
1538733354.553 * [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))))))
1538733354.553 * * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733354.553 * * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733354.553 * * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733354.553 * * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1538733354.553 * * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1538733354.553 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733354.555 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733354.561 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733354.568 * * [misc]simplify:  iters left: 4 (25 enodes)
1538733354.576 * * [misc]simplify:  iters left: 3 (26 enodes)
1538733354.588 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733354.588 * [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)))))
1538733354.588 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1538733354.589 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733354.595 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733354.602 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733354.610 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733354.618 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1538733354.618 * [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)))))
1538733354.618 * * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1538733354.619 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1538733354.620 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733354.625 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733354.631 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733354.638 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733354.646 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1538733354.647 * [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)))))
1538733354.647 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1538733354.648 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733354.653 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733354.660 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733354.669 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733354.677 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1538733354.677 * [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)))))
1538733354.678 * * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1538733354.678 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1538733354.679 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733354.683 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733354.690 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733354.697 * * [misc]simplify:  iters left: 3 (26 enodes)
1538733354.704 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1538733354.704 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1538733354.704 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1538733354.705 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733354.710 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733354.720 * * [misc]simplify:  iters left: 4 (23 enodes)
1538733354.727 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733354.736 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1538733354.736 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1538733354.736 * * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1538733354.736 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733354.737 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733354.743 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733354.747 * * [misc]simplify:  iters left: 4 (25 enodes)
1538733354.751 * * [misc]simplify:  iters left: 3 (26 enodes)
1538733354.755 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733354.755 * [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)))))
1538733354.756 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1538733354.756 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733354.759 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733354.762 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733354.766 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733354.770 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1538733354.770 * [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)))))
1538733354.770 * * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1538733354.770 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1538733354.771 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733354.773 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733354.776 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733354.780 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733354.783 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1538733354.783 * [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)))))
1538733354.784 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1538733354.784 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733354.787 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733354.790 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733354.796 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733354.800 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1538733354.800 * [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)))))
1538733354.800 * * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1538733354.800 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1538733354.800 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733354.803 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733354.806 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733354.810 * * [misc]simplify:  iters left: 3 (26 enodes)
1538733354.813 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1538733354.813 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1538733354.813 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1538733354.814 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733354.817 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733354.820 * * [misc]simplify:  iters left: 4 (23 enodes)
1538733354.824 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733354.827 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1538733354.827 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1538733354.828 * * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1538733354.828 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733354.828 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733354.831 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733354.836 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733354.843 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733354.843 * [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)))))
1538733354.843 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538733354.845 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733354.849 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733354.854 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733354.859 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538733354.859 * [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)))))
1538733354.860 * * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1538733354.860 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538733354.860 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733354.862 * * [misc]simplify:  iters left: 5 (12 enodes)
1538733354.864 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733354.867 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538733354.867 * [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)))))
1538733354.867 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538733354.868 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733354.870 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733354.872 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733354.875 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538733354.875 * [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)))))
1538733354.875 * * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))>
1538733354.875 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1)
1538733354.877 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733354.879 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733354.882 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733354.884 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538733354.884 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1538733354.884 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1538733354.885 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733354.887 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733354.889 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733354.891 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1538733354.892 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1538733354.892 * * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1538733354.892 * [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))))
1538733354.893 * * [misc]simplify:  iters left: 6 (16 enodes)
1538733354.897 * * [misc]simplify:  iters left: 5 (28 enodes)
1538733354.909 * * [misc]simplify:  iters left: 4 (46 enodes)
1538733354.925 * * [misc]simplify:  iters left: 3 (50 enodes)
1538733354.935 * * [misc]simplify:  iters left: 2 (53 enodes)
1538733354.945 * [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))))
1538733354.945 * [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)))))
1538733354.945 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538733354.946 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733354.949 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733354.953 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733354.957 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733354.964 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538733354.964 * [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)))))
1538733354.964 * * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1538733354.965 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1538733354.966 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733354.969 * * [misc]simplify:  iters left: 5 (23 enodes)
1538733354.975 * * [misc]simplify:  iters left: 4 (34 enodes)
1538733354.981 * * [misc]simplify:  iters left: 3 (37 enodes)
1538733354.988 * [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))))))
1538733354.989 * [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)))))
1538733354.989 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538733354.990 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733354.993 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733354.997 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733355.006 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.016 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538733355.016 * [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)))))
1538733355.017 * * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
1538733355.017 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)
1538733355.019 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733355.024 * * [misc]simplify:  iters left: 5 (24 enodes)
1538733355.030 * * [misc]simplify:  iters left: 4 (39 enodes)
1538733355.037 * * [misc]simplify:  iters left: 3 (54 enodes)
1538733355.049 * * [misc]simplify:  iters left: 2 (80 enodes)
1538733355.062 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1538733355.062 * [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))))
1538733355.062 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1538733355.063 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733355.069 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733355.077 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733355.086 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.097 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1538733355.097 * [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))))
1538733355.097 * * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1538733355.097 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733355.099 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733355.105 * * [misc]simplify:  iters left: 5 (23 enodes)
1538733355.115 * * [misc]simplify:  iters left: 4 (32 enodes)
1538733355.125 * * [misc]simplify:  iters left: 3 (34 enodes)
1538733355.137 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733355.137 * [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)))))
1538733355.138 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538733355.139 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733355.142 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733355.146 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733355.152 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.157 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1538733355.157 * [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)))))
1538733355.157 * * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1538733355.157 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538733355.158 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733355.161 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733355.165 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733355.169 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.174 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538733355.174 * [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)))))
1538733355.174 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538733355.175 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733355.178 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733355.182 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733355.186 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.192 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1538733355.192 * [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)))))
1538733355.192 * * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
1538733355.192 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)
1538733355.193 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733355.199 * * [misc]simplify:  iters left: 5 (21 enodes)
1538733355.208 * * [misc]simplify:  iters left: 4 (32 enodes)
1538733355.217 * * [misc]simplify:  iters left: 3 (33 enodes)
1538733355.227 * [exit]simplify:  Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))
1538733355.227 * [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))))
1538733355.227 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1538733355.228 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733355.233 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733355.238 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733355.243 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.248 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1538733355.248 * [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))))
1538733355.248 * * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1538733355.248 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1538733355.248 * * [misc]simplify:  iters left: 6 (6 enodes)
1538733355.250 * * [misc]simplify:  iters left: 5 (10 enodes)
1538733355.252 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1538733355.252 * [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)))))
1538733355.252 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538733355.253 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733355.255 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733355.259 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733355.268 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.278 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1538733355.278 * [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)))))
1538733355.278 * * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1538733355.279 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1538733355.279 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733355.281 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733355.283 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1538733355.283 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538733355.284 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538733355.285 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733355.290 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733355.299 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733355.308 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733355.319 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1538733355.319 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1538733355.319 * * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1538733355.319 * [enter]simplify:  Simplifying (/ 1 1)
1538733355.320 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733355.321 * * [misc]simplify:  iters left: 1 (4 enodes)
1538733355.321 * [exit]simplify:  Simplified to 1
1538733355.321 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))
1538733355.322 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1538733355.323 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733355.328 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733355.335 * * [misc]simplify:  iters left: 4 (27 enodes)
1538733355.344 * * [misc]simplify:  iters left: 3 (29 enodes)
1538733355.357 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))
1538733355.357 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))
1538733355.357 * * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1538733355.357 * * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1538733355.357 * * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733355.357 * * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1538733355.357 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1538733355.358 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733355.359 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1538733355.359 * [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))))
1538733355.359 * * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1538733355.359 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538733355.360 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733355.361 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538733355.361 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1538733355.361 * * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1538733355.361 * [enter]simplify:  Simplifying (sqrt k)
1538733355.361 * * [misc]simplify:  iters left: 1 (2 enodes)
1538733355.362 * [exit]simplify:  Simplified to (sqrt k)
1538733355.362 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))
1538733355.362 * * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538733355.363 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538733355.363 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733355.367 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733355.372 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733355.379 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733355.385 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538733355.385 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1538733355.385 * * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538733355.386 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538733355.386 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733355.390 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733355.395 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733355.402 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733355.408 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538733355.408 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1538733355.408 * * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538733355.409 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538733355.409 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733355.412 * * [misc]simplify:  iters left: 4 (9 enodes)
1538733355.415 * * [misc]simplify:  iters left: 3 (12 enodes)
1538733355.419 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538733355.419 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1538733355.419 * * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733355.420 * [enter]simplify:  Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733355.421 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733355.426 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733355.433 * * [misc]simplify:  iters left: 4 (27 enodes)
1538733355.442 * * [misc]simplify:  iters left: 3 (29 enodes)
1538733355.450 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1538733355.450 * [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)))))))
1538733355.450 * * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733355.450 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733355.451 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733355.454 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733355.458 * * [misc]simplify:  iters left: 4 (26 enodes)
1538733355.462 * * [misc]simplify:  iters left: 3 (27 enodes)
1538733355.466 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1538733355.466 * [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)))))))
1538733355.466 * * * * [misc]progress:  [ 73 / 83 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733355.467 * * * * [misc]progress:  [ 74 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1538733355.467 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1538733355.469 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733355.470 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733355.473 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733355.476 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733355.479 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1538733355.479 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1538733355.479 * * * * [misc]progress:  [ 75 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
1538733355.479 * [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)))))
1538733355.482 * * [misc]simplify:  iters left: 6 (37 enodes)
1538733355.501 * * [misc]simplify:  iters left: 5 (108 enodes)
1538733355.587 * * [misc]simplify:  iters left: 4 (368 enodes)
1538733356.329 * [exit]simplify:  Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))
1538733356.329 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k)))
1538733356.329 * * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1538733356.330 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1538733356.331 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733356.336 * * [misc]simplify:  iters left: 5 (33 enodes)
1538733356.346 * * [misc]simplify:  iters left: 4 (64 enodes)
1538733356.369 * * [misc]simplify:  iters left: 3 (179 enodes)
1538733356.505 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))
1538733356.505 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)))
1538733356.505 * * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1538733356.505 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1538733356.507 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733356.514 * * [misc]simplify:  iters left: 5 (30 enodes)
1538733356.531 * * [misc]simplify:  iters left: 4 (65 enodes)
1538733356.567 * * [misc]simplify:  iters left: 3 (208 enodes)
1538733356.820 * [exit]simplify:  Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))
1538733356.820 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k)))
1538733356.820 * * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538733356.820 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733356.821 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733356.823 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733356.825 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733356.828 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733356.831 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733356.831 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538733356.831 * * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538733356.831 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733356.831 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733356.832 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733356.834 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733356.837 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733356.840 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733356.840 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538733356.840 * * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1538733356.840 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733356.840 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733356.841 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733356.843 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733356.846 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733356.849 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733356.849 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538733356.849 * * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
1538733356.849 * [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))))))))))))))))))))))
1538733356.849 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733356.849 * * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
1538733356.849 * [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))))))))
1538733356.849 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733356.849 * * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
1538733356.850 * [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)))))))))))
1538733356.850 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733356.850 * * * [misc]progress:  adding candidates to table
1538733358.395 * * [misc]progress:  iteration 2 / 4
1538733358.395 * * * [misc]progress:  picking best candidate
1538733358.525 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733358.525 * * * [misc]progress:  localizing error
1538733358.538 * * * [misc]progress:  generating rewritten candidates
1538733358.538 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
1538733358.578 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1)
1538733358.602 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
1538733358.675 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1538733358.745 * * * [misc]progress:  generating series expansions
1538733358.745 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
1538733358.745 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1538733358.746 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1538733358.746 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.746 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.746 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.746 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.746 * [misc]taylor:  Taking taylor expansion of k in k
1538733358.746 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.746 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.746 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733358.746 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.746 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733358.746 * [misc]taylor:  Taking taylor expansion of n in k
1538733358.746 * [misc]backup-simplify:  Simplify n into n
1538733358.746 * [misc]taylor:  Taking taylor expansion of PI in k
1538733358.746 * [misc]backup-simplify:  Simplify PI into PI
1538733358.746 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733358.746 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733358.746 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733358.747 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733358.747 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.747 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733358.747 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733358.747 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733358.748 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.748 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.748 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.748 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.748 * [misc]taylor:  Taking taylor expansion of k in n
1538733358.748 * [misc]backup-simplify:  Simplify k into k
1538733358.748 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.748 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.748 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733358.748 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.748 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.748 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.748 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.748 * [misc]backup-simplify:  Simplify PI into PI
1538733358.748 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733358.749 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733358.749 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733358.750 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733358.751 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733358.751 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733358.751 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733358.751 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733358.752 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733358.752 * [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))))
1538733358.753 * [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)))))
1538733358.753 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.753 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.753 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.753 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.753 * [misc]taylor:  Taking taylor expansion of k in n
1538733358.753 * [misc]backup-simplify:  Simplify k into k
1538733358.753 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.753 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.753 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733358.753 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.753 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.753 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.753 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.753 * [misc]backup-simplify:  Simplify PI into PI
1538733358.754 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733358.754 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733358.755 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733358.755 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733358.756 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733358.756 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733358.756 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733358.756 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733358.757 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733358.757 * [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))))
1538733358.758 * [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)))))
1538733358.758 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1538733358.758 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1538733358.758 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733358.758 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.758 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.758 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733358.758 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.758 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.758 * [misc]taylor:  Taking taylor expansion of k in k
1538733358.758 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.758 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.758 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538733358.758 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733358.758 * [misc]taylor:  Taking taylor expansion of n in k
1538733358.758 * [misc]backup-simplify:  Simplify n into n
1538733358.759 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733358.759 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733358.759 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733358.759 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733358.759 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.759 * [misc]taylor:  Taking taylor expansion of PI in k
1538733358.759 * [misc]backup-simplify:  Simplify PI into PI
1538733358.759 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733358.759 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733358.760 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733358.760 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.760 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733358.760 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733358.761 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538733358.762 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538733358.763 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538733358.764 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733358.764 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733358.766 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733358.766 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538733358.766 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.767 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.767 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733358.767 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538733358.769 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733358.769 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.769 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.769 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.769 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538733358.770 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733358.771 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733358.772 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.772 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733358.772 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733358.772 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733358.772 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1538733358.774 * [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)))))))
1538733358.775 * [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)))))))
1538733358.776 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733358.777 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538733358.780 * [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
1538733358.781 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538733358.781 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.781 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.781 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733358.782 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733358.783 * [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
1538733358.783 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.783 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.783 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.783 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.785 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538733358.785 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733358.789 * [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
1538733358.790 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.790 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733358.790 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.790 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.791 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733358.793 * [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)))))
1538733358.795 * [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)))))
1538733358.801 * [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)))))
1538733358.801 * [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))))
1538733358.801 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1538733358.801 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.801 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.801 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.801 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.801 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of k in k
1538733358.801 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.801 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.801 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733358.801 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733358.801 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.801 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733358.801 * [misc]taylor:  Taking taylor expansion of PI in k
1538733358.801 * [misc]backup-simplify:  Simplify PI into PI
1538733358.801 * [misc]taylor:  Taking taylor expansion of n in k
1538733358.801 * [misc]backup-simplify:  Simplify n into n
1538733358.801 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733358.802 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733358.802 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733358.802 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733358.802 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733358.802 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733358.802 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733358.802 * [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))))
1538733358.802 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733358.802 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733358.802 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733358.802 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733358.802 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.802 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.802 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733358.802 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.802 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.802 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733358.802 * [misc]taylor:  Taking taylor expansion of k in n
1538733358.802 * [misc]backup-simplify:  Simplify k into k
1538733358.803 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733358.803 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733358.803 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733358.803 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.803 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.803 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.803 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.803 * [misc]backup-simplify:  Simplify PI into PI
1538733358.803 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.803 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.803 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.803 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.803 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733358.804 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733358.804 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733358.804 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733358.804 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733358.804 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733358.805 * [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)))
1538733358.805 * [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))))
1538733358.805 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.805 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.805 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.805 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.805 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of k in n
1538733358.805 * [misc]backup-simplify:  Simplify k into k
1538733358.805 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733358.805 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.805 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.805 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.805 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.805 * [misc]backup-simplify:  Simplify PI into PI
1538733358.805 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.806 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.806 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.806 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.806 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733358.806 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733358.806 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733358.806 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733358.806 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733358.807 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733358.807 * [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)))
1538733358.808 * [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))))
1538733358.808 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.808 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.808 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.808 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.808 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of k in k
1538733358.808 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.808 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.808 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733358.808 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733358.808 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733358.808 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.808 * [misc]taylor:  Taking taylor expansion of PI in k
1538733358.808 * [misc]backup-simplify:  Simplify PI into PI
1538733358.809 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733358.809 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733358.809 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733358.809 * [misc]taylor:  Taking taylor expansion of n in k
1538733358.809 * [misc]backup-simplify:  Simplify n into n
1538733358.809 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733358.809 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733358.809 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733358.809 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733358.809 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733358.810 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538733358.810 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538733358.811 * [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))))
1538733358.811 * [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))))
1538733358.812 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733358.813 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733358.816 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733358.816 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733358.816 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733358.817 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.817 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.818 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733358.818 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538733358.820 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733358.820 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.820 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.820 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.820 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.822 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.824 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733358.830 * [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
1538733358.830 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733358.830 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733358.830 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.831 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.831 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733358.832 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538733358.835 * [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
1538733358.835 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.835 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.835 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.835 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.835 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.837 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.839 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733358.848 * [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
1538733358.848 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733358.848 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538733358.849 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733358.849 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.849 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733358.850 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538733358.852 * [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
1538733358.852 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.852 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.852 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.853 * [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)))))
1538733358.853 * [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))
1538733358.853 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1538733358.853 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733358.853 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538733358.853 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538733358.853 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733358.853 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733358.855 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.855 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.855 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733358.855 * [misc]taylor:  Taking taylor expansion of k in k
1538733358.855 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.855 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.856 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733358.856 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.856 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.856 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733358.856 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733358.856 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733358.856 * [misc]backup-simplify:  Simplify -2 into -2
1538733358.856 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733358.856 * [misc]taylor:  Taking taylor expansion of PI in k
1538733358.856 * [misc]backup-simplify:  Simplify PI into PI
1538733358.856 * [misc]taylor:  Taking taylor expansion of n in k
1538733358.856 * [misc]backup-simplify:  Simplify n into n
1538733358.856 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733358.856 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733358.856 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733358.856 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733358.856 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733358.856 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733358.857 * [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)))
1538733358.857 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.857 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.857 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of k in n
1538733358.857 * [misc]backup-simplify:  Simplify k into k
1538733358.857 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733358.857 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.857 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.857 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733358.857 * [misc]backup-simplify:  Simplify -2 into -2
1538733358.857 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.857 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.857 * [misc]backup-simplify:  Simplify PI into PI
1538733358.857 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.857 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.857 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.857 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.858 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733358.858 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733358.858 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733358.858 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733358.859 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733358.859 * [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)))
1538733358.859 * [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))))
1538733358.859 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733358.859 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733358.859 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733358.859 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733358.860 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733358.860 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.860 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.860 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733358.860 * [misc]taylor:  Taking taylor expansion of k in n
1538733358.860 * [misc]backup-simplify:  Simplify k into k
1538733358.860 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733358.860 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.860 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.860 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733358.860 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733358.860 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733358.860 * [misc]backup-simplify:  Simplify -2 into -2
1538733358.860 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.860 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.860 * [misc]backup-simplify:  Simplify PI into PI
1538733358.860 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.860 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.860 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.860 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.860 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733358.861 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733358.861 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733358.861 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733358.861 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733358.862 * [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)))
1538733358.862 * [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))))
1538733358.862 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.862 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.862 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of k in k
1538733358.862 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.862 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.862 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733358.862 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733358.862 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.862 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538733358.862 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733358.862 * [misc]backup-simplify:  Simplify -2 into -2
1538733358.862 * [misc]taylor:  Taking taylor expansion of PI in k
1538733358.863 * [misc]backup-simplify:  Simplify PI into PI
1538733358.863 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733358.863 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733358.863 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733358.863 * [misc]taylor:  Taking taylor expansion of n in k
1538733358.863 * [misc]backup-simplify:  Simplify n into n
1538733358.863 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733358.863 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733358.863 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733358.863 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733358.864 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538733358.864 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538733358.865 * [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))))
1538733358.865 * [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))))
1538733358.866 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733358.866 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733358.868 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538733358.868 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733358.869 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733358.869 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.869 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733358.870 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538733358.871 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733358.871 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.871 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.871 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.871 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.872 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.872 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733358.876 * [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
1538733358.877 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733358.877 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733358.877 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.878 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733358.879 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538733358.881 * [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
1538733358.881 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.881 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.881 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.881 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.881 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.883 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.885 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733358.894 * [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
1538733358.895 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733358.895 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538733358.895 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733358.896 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733358.897 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1538733358.901 * [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
1538733358.901 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733358.901 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.901 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.902 * [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)))))
1538733358.902 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2 1)
1538733358.903 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1538733358.903 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538733358.903 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733358.903 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.903 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.903 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733358.903 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.903 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.903 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.903 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.903 * [misc]backup-simplify:  Simplify PI into PI
1538733358.903 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733358.903 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.903 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.903 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733358.903 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.903 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.903 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.903 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.903 * [misc]backup-simplify:  Simplify PI into PI
1538733358.904 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733358.904 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733358.904 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.905 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733358.905 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733358.906 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733358.907 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733358.908 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733358.908 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.910 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733358.912 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538733358.912 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.914 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733358.917 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538733358.917 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.920 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733358.922 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538733358.922 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.927 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733358.930 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538733358.930 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.935 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538733358.939 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538733358.939 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.939 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538733358.940 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1538733358.940 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538733358.940 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733358.940 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.940 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.940 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.940 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.940 * [misc]backup-simplify:  Simplify PI into PI
1538733358.940 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.940 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.940 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.940 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.940 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733358.940 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.940 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.940 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.940 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.940 * [misc]backup-simplify:  Simplify PI into PI
1538733358.940 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.940 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.940 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.941 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.941 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733358.941 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733358.942 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733358.943 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733358.943 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.944 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.945 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733358.945 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.947 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.948 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733358.949 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.950 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.952 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733358.952 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.954 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.957 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733358.957 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.959 * [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
1538733358.962 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733358.962 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.963 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538733358.963 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1538733358.963 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538733358.963 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733358.963 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733358.963 * [misc]backup-simplify:  Simplify -2 into -2
1538733358.963 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.963 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.963 * [misc]backup-simplify:  Simplify PI into PI
1538733358.963 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.963 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.963 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.963 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.963 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733358.963 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733358.963 * [misc]backup-simplify:  Simplify -2 into -2
1538733358.963 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733358.963 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.964 * [misc]backup-simplify:  Simplify PI into PI
1538733358.964 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.964 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.964 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.964 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733358.964 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733358.964 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733358.966 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733358.966 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733358.966 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.968 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.969 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733358.969 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.971 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.972 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733358.972 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.975 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.978 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733358.978 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.980 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733358.983 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733358.983 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.986 * [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
1538733358.991 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733358.992 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.992 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538733358.992 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
1538733358.993 * [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))
1538733358.993 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1538733358.993 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1538733358.993 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538733358.993 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733358.993 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733358.993 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733358.993 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733358.993 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.993 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.993 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733358.994 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733358.994 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733358.994 * [misc]taylor:  Taking taylor expansion of k in n
1538733358.994 * [misc]backup-simplify:  Simplify k into k
1538733358.994 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733358.994 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733358.994 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733358.994 * [misc]backup-simplify:  Simplify 2 into 2
1538733358.994 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733358.994 * [misc]taylor:  Taking taylor expansion of n in n
1538733358.994 * [misc]backup-simplify:  Simplify 0 into 0
1538733358.994 * [misc]backup-simplify:  Simplify 1 into 1
1538733358.994 * [misc]taylor:  Taking taylor expansion of PI in n
1538733358.994 * [misc]backup-simplify:  Simplify PI into PI
1538733358.994 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733358.995 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733358.996 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733358.996 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733358.997 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733358.997 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733358.997 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733358.997 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733358.998 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733358.999 * [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))))
1538733358.999 * [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)))))
1538733359.000 * [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))))))
1538733359.000 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538733359.000 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.000 * [misc]backup-simplify:  Simplify k into k
1538733359.000 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538733359.001 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538733359.001 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.001 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.001 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.001 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.001 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.001 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.001 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.001 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.001 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.001 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733359.001 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.001 * [misc]backup-simplify:  Simplify n into n
1538733359.001 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.001 * [misc]backup-simplify:  Simplify PI into PI
1538733359.001 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733359.002 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733359.002 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733359.002 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733359.002 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.002 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.002 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733359.003 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733359.003 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1538733359.003 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733359.003 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.003 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.003 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.003 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.004 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.004 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.004 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.004 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.004 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.004 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.004 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.004 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.004 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733359.004 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.005 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.005 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733359.005 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.005 * [misc]backup-simplify:  Simplify n into n
1538733359.005 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.005 * [misc]backup-simplify:  Simplify PI into PI
1538733359.005 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733359.005 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733359.005 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733359.005 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733359.005 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.006 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.006 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733359.006 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733359.006 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1538733359.007 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733359.007 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.007 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.007 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.007 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.007 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.008 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1538733359.008 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733359.008 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.008 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.008 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538733359.008 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538733359.010 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538733359.010 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733359.010 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733359.010 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733359.011 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1538733359.012 * [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)))))
1538733359.015 * [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)))))
1538733359.017 * [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))))
1538733359.017 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1538733359.017 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1538733359.017 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.017 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.017 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1538733359.017 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1538733359.017 * [misc]taylor:  Taking taylor expansion of (/ 1 (* n PI)) in n
1538733359.017 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.017 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.017 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.017 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.017 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.018 * [misc]backup-simplify:  Simplify PI into PI
1538733359.018 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.019 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.019 * [misc]backup-simplify:  Simplify (/ 1 PI) into (/ 1 PI)
1538733359.019 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.020 * [misc]backup-simplify:  Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1538733359.020 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538733359.020 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.020 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.020 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538733359.020 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538733359.022 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538733359.022 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538733359.024 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538733359.026 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538733359.027 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538733359.027 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.028 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733359.029 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538733359.029 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1538733359.032 * [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
1538733359.032 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733359.032 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.032 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.033 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1538733359.035 * [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)))
1538733359.047 * [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))))))
1538733359.060 * [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))))))
1538733359.060 * [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
1538733359.060 * [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
1538733359.060 * [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
1538733359.060 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.060 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.060 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1538733359.060 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1538733359.060 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733359.060 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.061 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.061 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733359.061 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733359.061 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1538733359.061 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733359.061 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733359.061 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.061 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.061 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.061 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.061 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.061 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.061 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.062 * [misc]backup-simplify:  Simplify PI into PI
1538733359.062 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.062 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733359.063 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.064 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733359.064 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.064 * [misc]taylor:  Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1538733359.064 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538733359.064 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.064 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.065 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538733359.065 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538733359.065 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1538733359.065 * [misc]taylor:  Taking taylor expansion of (/ 1 (* n PI)) in n
1538733359.065 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.065 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.065 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.065 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.065 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.065 * [misc]backup-simplify:  Simplify PI into PI
1538733359.065 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.066 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.066 * [misc]backup-simplify:  Simplify (/ 1 PI) into (/ 1 PI)
1538733359.067 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.067 * [misc]backup-simplify:  Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1538733359.067 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1538733359.067 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1538733359.067 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.067 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.068 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1538733359.068 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1538733359.068 * [misc]taylor:  Taking taylor expansion of (/ 1 (* n PI)) in n
1538733359.068 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.068 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.068 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.068 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.068 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.068 * [misc]backup-simplify:  Simplify PI into PI
1538733359.068 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.069 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.069 * [misc]backup-simplify:  Simplify (/ 1 PI) into (/ 1 PI)
1538733359.069 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.070 * [misc]backup-simplify:  Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1538733359.070 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538733359.070 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.070 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.070 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538733359.070 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538733359.071 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.072 * [misc]backup-simplify:  Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1538733359.073 * [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))))
1538733359.075 * [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)))))
1538733359.076 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.076 * [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1538733359.078 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733359.079 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733359.082 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733359.084 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1538733359.085 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1538733359.089 * [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)))))
1538733359.090 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1538733359.101 * [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)))))
1538733359.103 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538733359.103 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538733359.105 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538733359.106 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1538733359.116 * [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)))))))
1538733359.127 * [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)))))))
1538733359.136 * [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)))))))
1538733359.137 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1538733359.137 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733359.138 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1538733359.140 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1538733359.143 * [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))))
1538733359.148 * [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))))
1538733359.151 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1538733359.153 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1538733359.175 * [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)))))))))))
1538733359.175 * [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)))
1538733359.175 * [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
1538733359.175 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.176 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.176 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.176 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.176 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.176 * [misc]backup-simplify:  Simplify k into k
1538733359.176 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.176 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.176 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.176 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.176 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.176 * [misc]backup-simplify:  Simplify PI into PI
1538733359.176 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.176 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.176 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.177 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.177 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.178 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.178 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.178 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.178 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.179 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.180 * [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)))
1538733359.180 * [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))))
1538733359.181 * [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)))))
1538733359.181 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538733359.181 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.181 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.181 * [misc]backup-simplify:  Simplify k into k
1538733359.182 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.182 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538733359.182 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733359.182 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538733359.182 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.182 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.182 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.182 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.182 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.182 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.182 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.182 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.183 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.183 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733359.183 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733359.183 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.183 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.183 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.183 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.183 * [misc]backup-simplify:  Simplify PI into PI
1538733359.183 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.183 * [misc]backup-simplify:  Simplify n into n
1538733359.183 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.183 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733359.183 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733359.183 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.184 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733359.184 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733359.184 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733359.184 * [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))))
1538733359.185 * [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)))))
1538733359.185 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733359.185 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.185 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.185 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.185 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.185 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.185 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.186 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.186 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.186 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.186 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.186 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.186 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.186 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.186 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.186 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.186 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.186 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.186 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.186 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.186 * [misc]backup-simplify:  Simplify PI into PI
1538733359.187 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.187 * [misc]backup-simplify:  Simplify n into n
1538733359.187 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.187 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733359.187 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733359.187 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.187 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733359.187 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733359.188 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733359.188 * [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))))
1538733359.188 * [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)))))
1538733359.188 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733359.188 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.188 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.188 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.188 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.189 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.189 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.189 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.190 * [misc]backup-simplify:  Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1538733359.190 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733359.190 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.190 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.190 * [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
1538733359.191 * [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)))))))
1538733359.191 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.191 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.191 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.191 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.191 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.191 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.191 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.191 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.191 * [misc]backup-simplify:  Simplify k into k
1538733359.191 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.192 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.192 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.192 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.192 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.192 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.192 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.192 * [misc]backup-simplify:  Simplify PI into PI
1538733359.192 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.192 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.192 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.192 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.192 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.193 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.193 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.193 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.193 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.194 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.195 * [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)))
1538733359.196 * [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))))
1538733359.196 * [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)))))
1538733359.197 * [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)))))
1538733359.198 * [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)))))))
1538733359.199 * [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)))))))
1538733359.199 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.200 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733359.201 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733359.202 * [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
1538733359.202 * [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)))))))
1538733359.202 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538733359.202 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.203 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.203 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.203 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.203 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.203 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.203 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.203 * [misc]backup-simplify:  Simplify k into k
1538733359.203 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.203 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.203 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.203 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.203 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.203 * [misc]backup-simplify:  Simplify PI into PI
1538733359.203 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.203 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.203 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.204 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.204 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.205 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.205 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.205 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.205 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.206 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.207 * [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)))
1538733359.207 * [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))))
1538733359.208 * [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)))))
1538733359.209 * [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)))))
1538733359.210 * [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)))))))
1538733359.211 * [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)))))))
1538733359.212 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733359.213 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733359.216 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733359.216 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733359.216 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733359.217 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.217 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.218 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.218 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538733359.220 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733359.222 * [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
1538733359.223 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1538733359.223 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.223 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.223 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.223 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733359.225 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733359.226 * [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
1538733359.227 * [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)))))))
1538733359.227 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.227 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.227 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.227 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.227 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.227 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.227 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.227 * [misc]backup-simplify:  Simplify k into k
1538733359.227 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.227 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.227 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.227 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.227 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.227 * [misc]backup-simplify:  Simplify PI into PI
1538733359.227 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.227 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.227 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.228 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.228 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.229 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.229 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.229 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.229 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.230 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.231 * [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)))
1538733359.232 * [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))))
1538733359.233 * [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)))))
1538733359.234 * [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)))))
1538733359.234 * [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)))))))
1538733359.235 * [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)))))))
1538733359.239 * [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))))))))))))
1538733359.240 * [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)))
1538733359.240 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1538733359.240 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of -1 in n
1538733359.240 * [misc]backup-simplify:  Simplify -1 into -1
1538733359.240 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.240 * [misc]backup-simplify:  Simplify k into k
1538733359.240 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538733359.240 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538733359.240 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538733359.240 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538733359.240 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.240 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.240 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.240 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.241 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.241 * [misc]backup-simplify:  Simplify k into k
1538733359.241 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.241 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.241 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.241 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.241 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.241 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.241 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.241 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.241 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.241 * [misc]backup-simplify:  Simplify PI into PI
1538733359.241 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.241 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.241 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.241 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.242 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.242 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.242 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.242 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.243 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.244 * [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)))
1538733359.245 * [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))))
1538733359.246 * [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)))))
1538733359.246 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538733359.246 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733359.246 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733359.246 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733359.246 * [misc]backup-simplify:  Simplify -1 into -1
1538733359.246 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.246 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.246 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.246 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733359.246 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.247 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733359.247 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733359.247 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538733359.247 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538733359.247 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733359.247 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.247 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.247 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.247 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.247 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.247 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.247 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.247 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.247 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.247 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.248 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733359.248 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733359.248 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733359.248 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.248 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.248 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.248 * [misc]backup-simplify:  Simplify PI into PI
1538733359.248 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.248 * [misc]backup-simplify:  Simplify n into n
1538733359.248 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.248 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733359.248 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733359.248 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.249 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.249 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733359.249 * [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)))
1538733359.250 * [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))))
1538733359.250 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538733359.250 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733359.250 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733359.250 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733359.250 * [misc]backup-simplify:  Simplify -1 into -1
1538733359.250 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.250 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.250 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.250 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733359.250 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.251 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733359.251 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733359.251 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538733359.251 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538733359.251 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733359.251 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.251 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.251 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.251 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.251 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.251 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.251 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.251 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.251 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.252 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.252 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733359.252 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733359.252 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733359.252 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.252 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.252 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.252 * [misc]backup-simplify:  Simplify PI into PI
1538733359.252 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.252 * [misc]backup-simplify:  Simplify n into n
1538733359.252 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.252 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733359.252 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733359.252 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.253 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.253 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733359.253 * [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)))
1538733359.254 * [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))))
1538733359.254 * [misc]taylor:  Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733359.254 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.254 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.254 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733359.254 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.254 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.254 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.254 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.254 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.254 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.254 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.254 * [misc]backup-simplify:  Simplify PI into PI
1538733359.254 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.254 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.254 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.254 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.255 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.255 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.255 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.255 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.255 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.256 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.256 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.256 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.256 * [misc]backup-simplify:  Simplify k into k
1538733359.256 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.256 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.256 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.257 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.257 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.257 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.257 * [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)))
1538733359.258 * [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))))
1538733359.259 * [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)))))
1538733359.260 * [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)))))
1538733359.260 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538733359.261 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733359.262 * [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))))))
1538733359.263 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.263 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.263 * [misc]taylor:  Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.263 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.263 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.263 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.263 * [misc]backup-simplify:  Simplify PI into PI
1538733359.263 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.263 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.263 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.263 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.264 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.264 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.264 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.264 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.264 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.264 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.264 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.264 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.265 * [misc]backup-simplify:  Simplify k into k
1538733359.265 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.265 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.265 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.265 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.265 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.266 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.266 * [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)))
1538733359.267 * [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))))
1538733359.268 * [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)))))
1538733359.269 * [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)))))
1538733359.270 * [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)))))))
1538733359.274 * [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)))))))
1538733359.274 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.275 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733359.275 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733359.275 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.276 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733359.277 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733359.281 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538733359.281 * [misc]backup-simplify:  Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1538733359.284 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733359.286 * [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
1538733359.286 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.287 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733359.288 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733359.290 * [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))))))
1538733359.290 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.290 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.290 * [misc]taylor:  Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.290 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.290 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.290 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.290 * [misc]backup-simplify:  Simplify PI into PI
1538733359.290 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.291 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.291 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.291 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.291 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.292 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.292 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.292 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.292 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.292 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.292 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.292 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.292 * [misc]backup-simplify:  Simplify k into k
1538733359.292 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.292 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.292 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.293 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.293 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.293 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.294 * [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)))
1538733359.295 * [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))))
1538733359.296 * [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)))))
1538733359.296 * [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)))))
1538733359.297 * [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)))))))
1538733359.298 * [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)))))))
1538733359.302 * [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))))))))))))
1538733359.302 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1538733359.303 * [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))))
1538733359.303 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1538733359.303 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.303 * [misc]backup-simplify:  Simplify k into k
1538733359.303 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.303 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538733359.303 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733359.303 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538733359.303 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.303 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.303 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733359.303 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.304 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.304 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.304 * [misc]backup-simplify:  Simplify k into k
1538733359.304 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733359.304 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733359.304 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.304 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.304 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.304 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.304 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.304 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.304 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.304 * [misc]backup-simplify:  Simplify PI into PI
1538733359.304 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.305 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733359.305 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.306 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733359.307 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.307 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733359.307 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733359.307 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733359.308 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.308 * [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))))
1538733359.309 * [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)))))
1538733359.309 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538733359.309 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733359.309 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.309 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.309 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.309 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.310 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.310 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.310 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.310 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538733359.310 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538733359.310 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538733359.310 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733359.310 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.310 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.310 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733359.311 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.311 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.311 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.311 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.311 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.311 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733359.311 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733359.311 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.311 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.311 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733359.311 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.311 * [misc]backup-simplify:  Simplify n into n
1538733359.311 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.311 * [misc]backup-simplify:  Simplify PI into PI
1538733359.311 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733359.311 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733359.311 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733359.312 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733359.312 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.312 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.312 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733359.312 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733359.312 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1538733359.312 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733359.312 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.312 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.313 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.313 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.313 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.313 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.313 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.313 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1538733359.313 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1538733359.313 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1538733359.313 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733359.314 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.314 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.314 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733359.314 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.314 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.314 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.314 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.314 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.314 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733359.314 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733359.314 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.314 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.314 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733359.314 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.314 * [misc]backup-simplify:  Simplify n into n
1538733359.314 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.314 * [misc]backup-simplify:  Simplify PI into PI
1538733359.314 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733359.314 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733359.314 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733359.315 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733359.315 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.315 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.315 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733359.315 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733359.316 * [misc]backup-simplify:  Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1538733359.316 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733359.316 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.316 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.316 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538733359.317 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538733359.318 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538733359.318 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733359.318 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733359.318 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733359.319 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1538733359.320 * [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)))))
1538733359.321 * [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)))))
1538733359.321 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538733359.321 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733359.321 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.321 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.321 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733359.321 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733359.321 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.321 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.321 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733359.321 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733359.321 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733359.321 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.321 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.321 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.322 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.322 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.322 * [misc]backup-simplify:  Simplify PI into PI
1538733359.322 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.323 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.323 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.323 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733359.323 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733359.324 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733359.324 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.324 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.324 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.325 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538733359.325 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1538733359.328 * [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
1538733359.328 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733359.328 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.328 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.329 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1538733359.331 * [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)))
1538733359.331 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733359.332 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733359.335 * [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)))))))
1538733359.335 * [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
1538733359.335 * [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
1538733359.335 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538733359.335 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.335 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.335 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538733359.335 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538733359.335 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733359.335 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.335 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.335 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733359.336 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733359.336 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733359.336 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733359.336 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.336 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.336 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.336 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.336 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.336 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.336 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.336 * [misc]backup-simplify:  Simplify PI into PI
1538733359.336 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.336 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733359.337 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.338 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733359.339 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.339 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733359.339 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.339 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.339 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.339 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.339 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.339 * [misc]backup-simplify:  Simplify PI into PI
1538733359.339 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.340 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.340 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.340 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733359.340 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538733359.340 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733359.340 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.340 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.340 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733359.340 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733359.340 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.340 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.340 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733359.341 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733359.341 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733359.341 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.341 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.341 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.341 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.341 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.341 * [misc]backup-simplify:  Simplify PI into PI
1538733359.341 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.341 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.342 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.342 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733359.343 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.343 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538733359.344 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538733359.344 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733359.344 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733359.344 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733359.344 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.344 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.345 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.345 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.345 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733359.347 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733359.347 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733359.348 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733359.348 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.349 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733359.349 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1538733359.352 * [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
1538733359.352 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538733359.352 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.352 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.353 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1538733359.354 * [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)))
1538733359.355 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733359.355 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733359.358 * [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)))))))))
1538733359.358 * [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
1538733359.358 * [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
1538733359.358 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538733359.358 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.358 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.358 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538733359.358 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538733359.358 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733359.358 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.358 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.358 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733359.359 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733359.359 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733359.359 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733359.359 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.359 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.359 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.359 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.359 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.359 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.359 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.359 * [misc]backup-simplify:  Simplify PI into PI
1538733359.359 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.359 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733359.360 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.360 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733359.360 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.360 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733359.360 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.360 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.360 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.360 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.360 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.360 * [misc]backup-simplify:  Simplify PI into PI
1538733359.361 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.361 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.361 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.361 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733359.361 * [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
1538733359.362 * [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
1538733359.362 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.362 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.362 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.362 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.362 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733359.362 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733359.362 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.362 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.362 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.362 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.362 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.362 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.362 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.362 * [misc]backup-simplify:  Simplify PI into PI
1538733359.362 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.362 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733359.363 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.363 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733359.364 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.364 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.364 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733359.364 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.364 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.364 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.364 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.364 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.364 * [misc]backup-simplify:  Simplify PI into PI
1538733359.364 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.365 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.365 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.365 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733359.365 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538733359.365 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733359.365 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.365 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.365 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733359.365 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733359.365 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.365 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.365 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733359.366 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733359.366 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733359.366 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733359.366 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.366 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.366 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.366 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.366 * [misc]backup-simplify:  Simplify PI into PI
1538733359.366 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733359.366 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733359.366 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.367 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733359.367 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.368 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538733359.368 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538733359.368 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733359.369 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.369 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.370 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1538733359.371 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1538733359.372 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.372 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.373 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733359.374 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733359.376 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733359.377 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733359.378 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538733359.379 * [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))))))))
1538733359.383 * [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))))))))
1538733359.384 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733359.386 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733359.387 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733359.391 * [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))))))))))
1538733359.398 * [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)))))))
1538733359.403 * [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)))))))
1538733359.404 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733359.405 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538733359.406 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538733359.407 * [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))))
1538733359.410 * [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))))
1538733359.412 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538733359.413 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538733359.418 * [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)))))))))))))
1538733359.418 * [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)))))
1538733359.418 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1538733359.418 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.418 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538733359.418 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.418 * [misc]backup-simplify:  Simplify k into k
1538733359.418 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538733359.418 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538733359.418 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.418 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.418 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.418 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.418 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.418 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.418 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.418 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.419 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.419 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.419 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.419 * [misc]backup-simplify:  Simplify k into k
1538733359.419 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.419 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.419 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.419 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.419 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.419 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.419 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.419 * [misc]backup-simplify:  Simplify PI into PI
1538733359.419 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.419 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.419 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.419 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.419 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.420 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.420 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.420 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.420 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.420 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.421 * [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)))
1538733359.421 * [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))))
1538733359.421 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538733359.421 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733359.421 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.422 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.422 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.422 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.422 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.422 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.422 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.422 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.422 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.422 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.422 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.422 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.422 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.422 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.422 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.422 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.422 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.422 * [misc]backup-simplify:  Simplify PI into PI
1538733359.422 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.422 * [misc]backup-simplify:  Simplify n into n
1538733359.422 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.423 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733359.423 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733359.423 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.423 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733359.423 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733359.423 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733359.423 * [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))))
1538733359.423 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538733359.423 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733359.423 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.423 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.423 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.423 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.424 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733359.424 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.424 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.424 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.424 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.424 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.424 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.424 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.424 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.424 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733359.424 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.424 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.424 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.424 * [misc]backup-simplify:  Simplify PI into PI
1538733359.424 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.424 * [misc]backup-simplify:  Simplify n into n
1538733359.424 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.424 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733359.424 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733359.425 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.425 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733359.425 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733359.425 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733359.425 * [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))))
1538733359.425 * [misc]backup-simplify:  Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1538733359.425 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733359.425 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.425 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.426 * [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))))))
1538733359.426 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.426 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.426 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.426 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.426 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.426 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.426 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.426 * [misc]backup-simplify:  Simplify k into k
1538733359.426 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.426 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.426 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.426 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.426 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.426 * [misc]backup-simplify:  Simplify PI into PI
1538733359.426 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.426 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.426 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.426 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.427 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.427 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.427 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.427 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.427 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.428 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.428 * [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)))
1538733359.428 * [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))))
1538733359.429 * [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)))))
1538733359.429 * [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))))))
1538733359.430 * [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))))))
1538733359.430 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.431 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733359.431 * [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))))))
1538733359.431 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.431 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.431 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.431 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.431 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.431 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.431 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.431 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.431 * [misc]backup-simplify:  Simplify k into k
1538733359.432 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.432 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.432 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.432 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.432 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.432 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.432 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.432 * [misc]backup-simplify:  Simplify PI into PI
1538733359.432 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.432 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.432 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.432 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.432 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.433 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.433 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.433 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.433 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.434 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.435 * [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)))
1538733359.436 * [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))))
1538733359.436 * [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)))))
1538733359.437 * [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))))))
1538733359.438 * [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))))))
1538733359.439 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733359.440 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733359.443 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733359.443 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733359.444 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733359.444 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.444 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.445 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.446 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538733359.448 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733359.449 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1538733359.449 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733359.449 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.449 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.450 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733359.451 * [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))))))
1538733359.451 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733359.451 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733359.451 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.451 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.451 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733359.451 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733359.451 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733359.451 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733359.451 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.452 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.452 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.452 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.452 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.452 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.452 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.452 * [misc]backup-simplify:  Simplify k into k
1538733359.452 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.452 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733359.452 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733359.452 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733359.452 * [misc]backup-simplify:  Simplify 2 into 2
1538733359.452 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.452 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.452 * [misc]backup-simplify:  Simplify PI into PI
1538733359.452 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.452 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.452 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.452 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.453 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733359.453 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733359.453 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.453 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733359.454 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733359.454 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733359.455 * [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)))
1538733359.456 * [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))))
1538733359.457 * [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)))))
1538733359.458 * [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))))))
1538733359.458 * [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))))))
1538733359.462 * [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))))))))
1538733359.463 * [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)))
1538733359.463 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1538733359.463 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.463 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.463 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.463 * [misc]backup-simplify:  Simplify k into k
1538733359.463 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.463 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.463 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.463 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.463 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.463 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.463 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.463 * [misc]backup-simplify:  Simplify PI into PI
1538733359.463 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.463 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.463 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.464 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.464 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.465 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.465 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.465 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.466 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.466 * [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)))
1538733359.467 * [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))))
1538733359.467 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538733359.467 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538733359.467 * [misc]taylor:  Taking taylor expansion of -1 in n
1538733359.467 * [misc]backup-simplify:  Simplify -1 into -1
1538733359.467 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.467 * [misc]backup-simplify:  Simplify k into k
1538733359.468 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538733359.468 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538733359.468 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538733359.468 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538733359.469 * [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)))
1538733359.469 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.469 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.469 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.469 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.469 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.469 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.469 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.469 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.469 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733359.469 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733359.469 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.470 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.470 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.470 * [misc]backup-simplify:  Simplify PI into PI
1538733359.470 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.470 * [misc]backup-simplify:  Simplify n into n
1538733359.470 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.470 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733359.470 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733359.470 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.470 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.471 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733359.471 * [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)))
1538733359.471 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733359.471 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733359.471 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733359.471 * [misc]backup-simplify:  Simplify -1 into -1
1538733359.471 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.471 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.471 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.471 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733359.472 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.472 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733359.472 * [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))))
1538733359.472 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1538733359.472 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733359.472 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.473 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.473 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.473 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.473 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.473 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733359.473 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733359.473 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.473 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733359.473 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.473 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733359.473 * [misc]taylor:  Taking taylor expansion of PI in k
1538733359.473 * [misc]backup-simplify:  Simplify PI into PI
1538733359.473 * [misc]taylor:  Taking taylor expansion of n in k
1538733359.473 * [misc]backup-simplify:  Simplify n into n
1538733359.473 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733359.474 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733359.474 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733359.474 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733359.474 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733359.474 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733359.475 * [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)))
1538733359.475 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733359.475 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733359.475 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733359.475 * [misc]backup-simplify:  Simplify -1 into -1
1538733359.475 * [misc]taylor:  Taking taylor expansion of k in k
1538733359.475 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.475 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.475 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733359.475 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733359.476 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733359.476 * [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))))
1538733359.476 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733359.476 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.476 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.476 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733359.476 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.476 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.476 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.476 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.476 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.476 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.476 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.476 * [misc]backup-simplify:  Simplify PI into PI
1538733359.476 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.476 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.477 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.477 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.477 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.478 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.478 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.478 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.478 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.478 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.478 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.478 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.478 * [misc]backup-simplify:  Simplify k into k
1538733359.478 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.478 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.478 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.479 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.479 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.479 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.480 * [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)))
1538733359.480 * [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))))
1538733359.481 * [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)))))
1538733359.482 * [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)))))
1538733359.482 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538733359.484 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733359.485 * [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)))))
1538733359.485 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538733359.485 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733359.485 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.485 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.485 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733359.485 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.485 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.485 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.485 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.485 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.485 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.485 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.485 * [misc]backup-simplify:  Simplify PI into PI
1538733359.485 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.485 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.485 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.485 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.486 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.486 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.486 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.486 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.486 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.486 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.486 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.487 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.487 * [misc]backup-simplify:  Simplify k into k
1538733359.487 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.487 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.487 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.487 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.487 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.488 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.488 * [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)))
1538733359.489 * [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))))
1538733359.490 * [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)))))
1538733359.491 * [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))))))
1538733359.492 * [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))))))
1538733359.493 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.493 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733359.493 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733359.493 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733359.494 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733359.495 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733359.498 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538733359.499 * [misc]backup-simplify:  Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1538733359.501 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733359.502 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1538733359.502 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.502 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733359.503 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733359.505 * [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)))))
1538733359.505 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538733359.505 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733359.505 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733359.505 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733359.505 * [misc]taylor:  Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733359.505 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733359.505 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733359.505 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733359.506 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733359.506 * [misc]backup-simplify:  Simplify -2 into -2
1538733359.506 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733359.506 * [misc]taylor:  Taking taylor expansion of PI in n
1538733359.506 * [misc]backup-simplify:  Simplify PI into PI
1538733359.506 * [misc]taylor:  Taking taylor expansion of n in n
1538733359.506 * [misc]backup-simplify:  Simplify 0 into 0
1538733359.506 * [misc]backup-simplify:  Simplify 1 into 1
1538733359.506 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733359.507 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733359.507 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733359.507 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733359.507 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733359.507 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.507 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.507 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733359.507 * [misc]taylor:  Taking taylor expansion of k in n
1538733359.507 * [misc]backup-simplify:  Simplify k into k
1538733359.507 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733359.508 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733359.508 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733359.508 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733359.508 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733359.509 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733359.509 * [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)))
1538733359.510 * [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))))
1538733359.511 * [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)))))
1538733359.512 * [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))))))
1538733359.513 * [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))))))
1538733359.516 * [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)))))))))))
1538733359.516 * * * [misc]progress:  simplifying candidates
1538733359.516 * * * * [misc]progress:  [ 1 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log1p (expm1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733359.516 * * * * [misc]progress:  [ 2 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (expm1 (log1p (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733359.516 * * * * [misc]progress:  [ 3 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538733359.516 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1538733359.517 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733359.522 * * [misc]simplify:  iters left: 5 (21 enodes)
1538733359.535 * * [misc]simplify:  iters left: 4 (47 enodes)
1538733359.561 * * [misc]simplify:  iters left: 3 (113 enodes)
1538733359.658 * * [misc]simplify:  iters left: 2 (328 enodes)
1538733360.076 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1538733360.076 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))))))
1538733360.076 * * * * [misc]progress:  [ 4 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538733360.076 * * * * [misc]progress:  [ 5 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))))))>
1538733360.076 * [enter]simplify:  Simplifying (* PI (* n 2))
1538733360.077 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733360.078 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733360.080 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733360.083 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733360.085 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1538733360.086 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))))))
1538733360.086 * * * * [misc]progress:  [ 6 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1538733360.086 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538733360.086 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733360.088 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733360.091 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733360.094 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733360.097 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538733360.097 * [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))))))
1538733360.097 * * * * [misc]progress:  [ 7 / 128 ] 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)))))))>
1538733360.097 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538733360.098 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733360.099 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733360.100 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733360.102 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538733360.102 * [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)))))))
1538733360.102 * * * * [misc]progress:  [ 8 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
1538733360.102 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538733360.103 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733360.104 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733360.105 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733360.107 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538733360.107 * [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)))))))
1538733360.107 * * * * [misc]progress:  [ 9 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))>
1538733360.107 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538733360.107 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733360.108 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733360.110 * * [misc]simplify:  iters left: 2 (10 enodes)
1538733360.111 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538733360.111 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))
1538733360.111 * * * * [misc]progress:  [ 10 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538733360.112 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538733360.112 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733360.114 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733360.117 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733360.120 * * [misc]simplify:  iters left: 2 (22 enodes)
1538733360.124 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538733360.124 * [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)))))))
1538733360.124 * * * * [misc]progress:  [ 11 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538733360.124 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538733360.125 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733360.127 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733360.130 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733360.133 * * [misc]simplify:  iters left: 2 (22 enodes)
1538733360.136 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538733360.136 * [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)))))))
1538733360.136 * * * * [misc]progress:  [ 12 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733360.137 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538733360.137 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733360.138 * * [misc]simplify:  iters left: 4 (9 enodes)
1538733360.140 * * [misc]simplify:  iters left: 3 (12 enodes)
1538733360.143 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538733360.143 * [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)))))))
1538733360.143 * * * * [misc]progress:  [ 13 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1))))>
1538733360.143 * * * * [misc]progress:  [ 14 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733360.143 * * * * [misc]progress:  [ 15 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733360.143 * * * * [misc]progress:  [ 16 / 128 ] 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))))))))>
1538733360.144 * * * * [misc]progress:  [ 17 / 128 ] 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))))))))>
1538733360.144 * * * * [misc]progress:  [ 18 / 128 ] 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))))))))>
1538733360.144 * * * * [misc]progress:  [ 19 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733360.144 * * * * [misc]progress:  [ 20 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log1p (expm1 (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 21 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (expm1 (log1p (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 22 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 23 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 24 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 25 / 128 ] 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))))))>
1538733360.144 * * * * [misc]progress:  [ 26 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 27 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 28 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 29 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 30 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1538733360.144 * * * * [misc]progress:  [ 31 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log1p (expm1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733360.144 * * * * [misc]progress:  [ 32 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (expm1 (log1p (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733360.144 * * * * [misc]progress:  [ 33 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)))>
1538733360.144 * * * * [misc]progress:  [ 34 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538733360.144 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1538733360.145 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733360.149 * * [misc]simplify:  iters left: 5 (26 enodes)
1538733360.156 * * [misc]simplify:  iters left: 4 (59 enodes)
1538733360.178 * * [misc]simplify:  iters left: 3 (172 enodes)
1538733360.288 * [exit]simplify:  Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))
1538733360.288 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))))))
1538733360.288 * * * * [misc]progress:  [ 35 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538733360.288 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1538733360.289 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733360.292 * * [misc]simplify:  iters left: 5 (26 enodes)
1538733360.304 * * [misc]simplify:  iters left: 4 (59 enodes)
1538733360.331 * * [misc]simplify:  iters left: 3 (172 enodes)
1538733360.452 * [exit]simplify:  Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))
1538733360.452 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))))))
1538733360.452 * * * * [misc]progress:  [ 36 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733360.452 * [enter]simplify:  Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733360.453 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733360.456 * * [misc]simplify:  iters left: 5 (24 enodes)
1538733360.465 * * [misc]simplify:  iters left: 4 (46 enodes)
1538733360.489 * * [misc]simplify:  iters left: 3 (105 enodes)
1538733360.570 * * [misc]simplify:  iters left: 2 (354 enodes)
1538733361.043 * [exit]simplify:  Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))
1538733361.043 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))))))
1538733361.043 * * * * [misc]progress:  [ 37 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733361.043 * * * * [misc]progress:  [ 38 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733361.043 * * * * [misc]progress:  [ 39 / 128 ] 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))))))))>
1538733361.043 * [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)))))
1538733361.044 * * [misc]simplify:  iters left: 6 (16 enodes)
1538733361.049 * * [misc]simplify:  iters left: 5 (31 enodes)
1538733361.058 * * [misc]simplify:  iters left: 4 (70 enodes)
1538733361.087 * * [misc]simplify:  iters left: 3 (130 enodes)
1538733361.125 * * [misc]simplify:  iters left: 2 (206 enodes)
1538733361.183 * * [misc]simplify:  iters left: 1 (288 enodes)
1538733361.286 * [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)))))
1538733361.286 * [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))))))))
1538733361.286 * * * * [misc]progress:  [ 40 / 128 ] 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))))))))>
1538733361.286 * * * * [misc]progress:  [ 41 / 128 ] 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))))))))>
1538733361.287 * * * * [misc]progress:  [ 42 / 128 ] 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))))))))>
1538733361.287 * * * * [misc]progress:  [ 43 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733361.287 * * * * [misc]progress:  [ 44 / 128 ] 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)))))))>
1538733361.287 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))
1538733361.288 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733361.290 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733361.294 * * [misc]simplify:  iters left: 4 (27 enodes)
1538733361.302 * * [misc]simplify:  iters left: 3 (29 enodes)
1538733361.312 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI)))
1538733361.312 * [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)))))))
1538733361.312 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733361.314 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733361.319 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733361.328 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733361.335 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733361.344 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733361.344 * [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)))))))
1538733361.344 * * * * [misc]progress:  [ 45 / 128 ] 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)))))))>
1538733361.344 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))
1538733361.346 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733361.351 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733361.358 * * [misc]simplify:  iters left: 4 (27 enodes)
1538733361.368 * * [misc]simplify:  iters left: 3 (29 enodes)
1538733361.378 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI)))
1538733361.378 * [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)))))))
1538733361.378 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733361.379 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733361.384 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733361.391 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733361.399 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733361.403 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733361.403 * [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)))))))
1538733361.403 * * * * [misc]progress:  [ 46 / 128 ] 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)))))))>
1538733361.404 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
1538733361.404 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.406 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733361.409 * * [misc]simplify:  iters left: 4 (20 enodes)
1538733361.413 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733361.416 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
1538733361.416 * [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)))))))
1538733361.416 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733361.417 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.419 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733361.422 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733361.425 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733361.425 * [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)))))))
1538733361.425 * * * * [misc]progress:  [ 47 / 128 ] 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))))))))>
1538733361.425 * [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))))))
1538733361.426 * * [misc]simplify:  iters left: 6 (16 enodes)
1538733361.432 * * [misc]simplify:  iters left: 5 (28 enodes)
1538733361.438 * * [misc]simplify:  iters left: 4 (46 enodes)
1538733361.446 * * [misc]simplify:  iters left: 3 (50 enodes)
1538733361.454 * * [misc]simplify:  iters left: 2 (53 enodes)
1538733361.464 * [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))))))
1538733361.464 * [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))))))))
1538733361.464 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.465 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733361.468 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733361.472 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733361.477 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.482 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733361.483 * [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))))))))
1538733361.483 * * * * [misc]progress:  [ 48 / 128 ] 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))))))))>
1538733361.483 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.484 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733361.487 * * [misc]simplify:  iters left: 5 (23 enodes)
1538733361.492 * * [misc]simplify:  iters left: 4 (34 enodes)
1538733361.499 * * [misc]simplify:  iters left: 3 (36 enodes)
1538733361.506 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733361.506 * [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))))))))
1538733361.506 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.507 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733361.510 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733361.514 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733361.518 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.523 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733361.523 * [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))))))))
1538733361.523 * * * * [misc]progress:  [ 49 / 128 ] 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)))))))>
1538733361.523 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1538733361.524 * * [misc]simplify:  iters left: 6 (6 enodes)
1538733361.525 * * [misc]simplify:  iters left: 5 (10 enodes)
1538733361.528 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733361.530 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733361.532 * * [misc]simplify:  iters left: 2 (23 enodes)
1538733361.535 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538733361.535 * [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)))))))
1538733361.536 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733361.536 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733361.539 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733361.543 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733361.548 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.553 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538733361.553 * [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)))))))
1538733361.553 * * * * [misc]progress:  [ 50 / 128 ] 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)))))))>
1538733361.554 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))
1538733361.554 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.556 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733361.559 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733361.563 * * [misc]simplify:  iters left: 3 (23 enodes)
1538733361.569 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2)))
1538733361.569 * [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)))))))
1538733361.569 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733361.570 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733361.572 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733361.576 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733361.580 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733361.584 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733361.584 * [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)))))))
1538733361.584 * * * * [misc]progress:  [ 51 / 128 ] 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)))))))>
1538733361.584 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))
1538733361.585 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.587 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733361.590 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733361.593 * * [misc]simplify:  iters left: 3 (23 enodes)
1538733361.597 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2)))
1538733361.597 * [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)))))))
1538733361.597 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733361.598 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733361.600 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733361.604 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733361.607 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733361.611 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733361.612 * [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)))))))
1538733361.612 * * * * [misc]progress:  [ 52 / 128 ] 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)))))))>
1538733361.612 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1538733361.612 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733361.614 * * [misc]simplify:  iters left: 5 (12 enodes)
1538733361.616 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733361.619 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1538733361.619 * [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)))))))
1538733361.619 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733361.620 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.622 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733361.624 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733361.627 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733361.627 * [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)))))))
1538733361.627 * * * * [misc]progress:  [ 53 / 128 ] 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))))))))>
1538733361.627 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538733361.628 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733361.633 * * [misc]simplify:  iters left: 5 (23 enodes)
1538733361.639 * * [misc]simplify:  iters left: 4 (32 enodes)
1538733361.649 * * [misc]simplify:  iters left: 3 (34 enodes)
1538733361.658 * [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))))))
1538733361.658 * [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))))))))
1538733361.659 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.660 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733361.663 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733361.667 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733361.672 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.676 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733361.676 * [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))))))))
1538733361.677 * * * * [misc]progress:  [ 54 / 128 ] 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))))))))>
1538733361.677 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.678 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733361.680 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733361.684 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733361.689 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.694 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733361.694 * [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))))))))
1538733361.694 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.695 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733361.698 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733361.702 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733361.708 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.713 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733361.713 * [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))))))))
1538733361.713 * * * * [misc]progress:  [ 55 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733361.714 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) 1)
1538733361.714 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733361.715 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733361.717 * * [misc]simplify:  iters left: 2 (9 enodes)
1538733361.718 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538733361.718 * [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)))))))
1538733361.718 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733361.719 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733361.722 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733361.726 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733361.731 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.737 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538733361.737 * [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)))))))
1538733361.737 * * * * [misc]progress:  [ 56 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* PI (* n 2)) 1/2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538733361.737 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) 1/2))
1538733361.737 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733361.740 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733361.743 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733361.746 * * [misc]simplify:  iters left: 3 (23 enodes)
1538733361.750 * [exit]simplify:  Simplified to (/ 1 (sqrt (* n (* 2 PI))))
1538733361.750 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))
1538733361.750 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538733361.750 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.753 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733361.756 * * [misc]simplify:  iters left: 4 (23 enodes)
1538733361.760 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733361.764 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538733361.764 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))))
1538733361.764 * * * * [misc]progress:  [ 57 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* PI (* n 2)) 1/2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1538733361.764 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) 1/2))
1538733361.765 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733361.767 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733361.770 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733361.773 * * [misc]simplify:  iters left: 3 (23 enodes)
1538733361.778 * [exit]simplify:  Simplified to (/ 1 (sqrt (* n (* 2 PI))))
1538733361.778 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))
1538733361.779 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538733361.779 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.782 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733361.785 * * [misc]simplify:  iters left: 4 (23 enodes)
1538733361.789 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733361.793 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538733361.793 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))))
1538733361.793 * * * * [misc]progress:  [ 58 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733361.793 * [enter]simplify:  Simplifying (/ 1 (pow PI (- 1/2 (/ k 2))))
1538733361.794 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733361.795 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733361.798 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733361.800 * [exit]simplify:  Simplified to (/ 1 (pow PI (- 1/2 (/ k 2))))
1538733361.800 * [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)))))))
1538733361.800 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733361.801 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733361.803 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733361.805 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733361.808 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733361.808 * [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)))))))
1538733361.808 * * * * [misc]progress:  [ 59 / 128 ] 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))))))))>
1538733361.808 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538733361.809 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733361.812 * * [misc]simplify:  iters left: 5 (24 enodes)
1538733361.817 * * [misc]simplify:  iters left: 4 (33 enodes)
1538733361.822 * * [misc]simplify:  iters left: 3 (34 enodes)
1538733361.828 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))
1538733361.828 * [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))))))))
1538733361.828 * [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.829 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733361.832 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733361.836 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733361.840 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.846 * [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538733361.846 * [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))))))))
1538733361.846 * * * * [misc]progress:  [ 60 / 128 ] 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))))))))>
1538733361.846 * [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.847 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733361.850 * * [misc]simplify:  iters left: 5 (21 enodes)
1538733361.854 * * [misc]simplify:  iters left: 4 (30 enodes)
1538733361.858 * * [misc]simplify:  iters left: 3 (31 enodes)
1538733361.863 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1538733361.863 * [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))))))))
1538733361.863 * [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733361.864 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733361.867 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733361.871 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733361.875 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733361.880 * [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538733361.880 * [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))))))))
1538733361.880 * * * * [misc]progress:  [ 61 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733361.881 * [enter]simplify:  Simplifying (/ 1 1)
1538733361.881 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733361.881 * * [misc]simplify:  iters left: 1 (4 enodes)
1538733361.882 * [exit]simplify:  Simplified to 1
1538733361.882 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538733361.882 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733361.883 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733361.885 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733361.889 * * [misc]simplify:  iters left: 4 (27 enodes)
1538733361.894 * * [misc]simplify:  iters left: 3 (29 enodes)
1538733361.899 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733361.899 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))
1538733361.899 * * * * [misc]progress:  [ 62 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733361.899 * * * * [misc]progress:  [ 63 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733361.899 * * * * [misc]progress:  [ 64 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733361.899 * * * * [misc]progress:  [ 65 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538733361.899 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538733361.900 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733361.902 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733361.905 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733361.908 * * [misc]simplify:  iters left: 2 (22 enodes)
1538733361.914 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538733361.914 * [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))))))
1538733361.914 * * * * [misc]progress:  [ 66 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538733361.914 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1538733361.915 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733361.920 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733361.926 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733361.933 * * [misc]simplify:  iters left: 2 (22 enodes)
1538733361.940 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1538733361.940 * [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))))))
1538733361.940 * * * * [misc]progress:  [ 67 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538733361.941 * [enter]simplify:  Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1538733361.941 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733361.944 * * [misc]simplify:  iters left: 4 (11 enodes)
1538733361.948 * * [misc]simplify:  iters left: 3 (14 enodes)
1538733361.953 * [exit]simplify:  Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1538733361.953 * [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))))))
1538733361.953 * * * * [misc]progress:  [ 68 / 128 ] 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)))))))>
1538733361.954 * [enter]simplify:  Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733361.955 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.959 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733361.966 * * [misc]simplify:  iters left: 4 (26 enodes)
1538733361.975 * * [misc]simplify:  iters left: 3 (27 enodes)
1538733361.984 * [exit]simplify:  Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1538733361.984 * [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)))))))
1538733361.984 * * * * [misc]progress:  [ 69 / 128 ] 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)))))))>
1538733361.985 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733361.986 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733361.990 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733361.998 * * [misc]simplify:  iters left: 4 (26 enodes)
1538733362.006 * * [misc]simplify:  iters left: 3 (27 enodes)
1538733362.015 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1538733362.015 * [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)))))))
1538733362.015 * * * * [misc]progress:  [ 70 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733362.015 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2)))
1538733362.016 * * [misc]simplify:  iters left: 5 (10 enodes)
1538733362.021 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733362.027 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733362.035 * * [misc]simplify:  iters left: 2 (26 enodes)
1538733362.042 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))
1538733362.042 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))
1538733362.042 * * * * [misc]progress:  [ 71 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
1538733362.042 * [enter]simplify:  Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538733362.044 * * [misc]simplify:  iters left: 4 (4 enodes)
1538733362.045 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538733362.045 * [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))))))
1538733362.045 * * * * [misc]progress:  [ 72 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
1538733362.045 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538733362.045 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733362.045 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538733362.046 * [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))))))
1538733362.046 * * * * [misc]progress:  [ 73 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1538733362.046 * * * * [misc]progress:  [ 74 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2)))))>
1538733362.046 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538733362.046 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733362.048 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733362.050 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733362.053 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733362.057 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538733362.057 * [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)))))
1538733362.057 * * * * [misc]progress:  [ 75 / 128 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733362.057 * * * * [misc]progress:  [ 76 / 128 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733362.057 * * * * [misc]progress:  [ 77 / 128 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1))>
1538733362.057 * * * * [misc]progress:  [ 78 / 128 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- 1)))>
1538733362.057 * [enter]simplify:  Simplifying (- 1)
1538733362.057 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733362.058 * * [misc]simplify:  iters left: 1 (5 enodes)
1538733362.059 * [exit]simplify:  Simplified to -1
1538733362.059 * [misc]simplify:  Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1))
1538733362.059 * * * * [misc]progress:  [ 79 / 128 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1))>
1538733362.059 * * * * [misc]progress:  [ 80 / 128 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538733362.059 * * * * [misc]progress:  [ 81 / 128 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))))))>
1538733362.059 * * * * [misc]progress:  [ 82 / 128 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733362.059 * * * * [misc]progress:  [ 83 / 128 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733362.059 * * * * [misc]progress:  [ 84 / 128 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733362.059 * * * * [misc]progress:  [ 85 / 128 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))>
1538733362.059 * * * * [misc]progress:  [ 86 / 128 ] 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))))))))>
1538733362.059 * * * * [misc]progress:  [ 87 / 128 ] 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))))))))>
1538733362.059 * * * * [misc]progress:  [ 88 / 128 ] 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))))))))>
1538733362.059 * * * * [misc]progress:  [ 89 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733362.059 * * * * [misc]progress:  [ 90 / 128 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733362.059 * * * * [misc]progress:  [ 91 / 128 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1538733362.059 * * * * [misc]progress:  [ 92 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)))>
1538733362.059 * * * * [misc]progress:  [ 93 / 128 ] 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)))))))>
1538733362.059 * [enter]simplify:  Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.060 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733362.063 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733362.067 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733362.071 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.077 * [exit]simplify:  Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538733362.077 * [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)))))))
1538733362.077 * * * * [misc]progress:  [ 94 / 128 ] 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)))))))>
1538733362.078 * [enter]simplify:  Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.079 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733362.084 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733362.092 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733362.100 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.105 * [exit]simplify:  Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538733362.105 * [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)))))))
1538733362.105 * * * * [misc]progress:  [ 95 / 128 ] 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))))))>
1538733362.106 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733362.106 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733362.109 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733362.112 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733362.116 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733362.121 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733362.121 * [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))))))
1538733362.121 * * * * [misc]progress:  [ 96 / 128 ] 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))))))>
1538733362.121 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733362.123 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733362.126 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733362.130 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733362.134 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733362.138 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733362.138 * [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))))))
1538733362.138 * * * * [misc]progress:  [ 97 / 128 ] 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))))))>
1538733362.138 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733362.139 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733362.141 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733362.144 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733362.147 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733362.147 * [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))))))
1538733362.147 * * * * [misc]progress:  [ 98 / 128 ] 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)))))))>
1538733362.147 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.148 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733362.151 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733362.155 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733362.159 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.165 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733362.165 * [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)))))))
1538733362.165 * * * * [misc]progress:  [ 99 / 128 ] 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)))))))>
1538733362.165 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.166 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733362.169 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733362.173 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733362.177 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.182 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733362.182 * [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)))))))
1538733362.182 * * * * [misc]progress:  [ 100 / 128 ] 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))))))>
1538733362.182 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733362.183 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733362.189 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733362.198 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733362.205 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.210 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538733362.210 * [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))))))
1538733362.210 * * * * [misc]progress:  [ 101 / 128 ] 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))))))>
1538733362.210 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733362.211 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733362.214 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733362.217 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733362.221 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733362.225 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733362.225 * [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))))))
1538733362.225 * * * * [misc]progress:  [ 102 / 128 ] 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))))))>
1538733362.225 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))
1538733362.226 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733362.229 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733362.232 * * [misc]simplify:  iters left: 4 (24 enodes)
1538733362.236 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733362.245 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))
1538733362.245 * [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))))))
1538733362.245 * * * * [misc]progress:  [ 103 / 128 ] 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))))))>
1538733362.245 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733362.246 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733362.250 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733362.255 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733362.262 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733362.262 * [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))))))
1538733362.262 * * * * [misc]progress:  [ 104 / 128 ] 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)))))))>
1538733362.262 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.263 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733362.269 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733362.278 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733362.287 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.299 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733362.299 * [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)))))))
1538733362.299 * * * * [misc]progress:  [ 105 / 128 ] 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)))))))>
1538733362.299 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.301 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733362.306 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733362.314 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733362.322 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.328 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1538733362.328 * [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)))))))
1538733362.328 * * * * [misc]progress:  [ 106 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733362.328 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733362.329 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733362.331 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733362.335 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733362.340 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.345 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
1538733362.345 * [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))))))
1538733362.345 * * * * [misc]progress:  [ 107 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538733362.345 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538733362.346 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733362.348 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733362.355 * * [misc]simplify:  iters left: 4 (23 enodes)
1538733362.363 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733362.371 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538733362.371 * [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))))))
1538733362.371 * * * * [misc]progress:  [ 108 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1538733362.372 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
1538733362.373 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733362.378 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733362.385 * * [misc]simplify:  iters left: 4 (23 enodes)
1538733362.393 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733362.402 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))
1538733362.403 * [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))))))
1538733362.403 * * * * [misc]progress:  [ 109 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538733362.403 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733362.404 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733362.407 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733362.412 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733362.414 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733362.415 * [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))))))
1538733362.415 * * * * [misc]progress:  [ 110 / 128 ] 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)))))))>
1538733362.415 * [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.415 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733362.418 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733362.422 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733362.427 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.432 * [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538733362.432 * [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)))))))
1538733362.432 * * * * [misc]progress:  [ 111 / 128 ] 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)))))))>
1538733362.432 * [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1538733362.433 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733362.436 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733362.444 * * [misc]simplify:  iters left: 4 (28 enodes)
1538733362.453 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.464 * [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
1538733362.464 * [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)))))))
1538733362.464 * * * * [misc]progress:  [ 112 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733362.464 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733362.465 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733362.471 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733362.479 * * [misc]simplify:  iters left: 4 (27 enodes)
1538733362.487 * * [misc]simplify:  iters left: 3 (29 enodes)
1538733362.497 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733362.497 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538733362.497 * * * * [misc]progress:  [ 113 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733362.497 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733362.498 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733362.504 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733362.513 * * [misc]simplify:  iters left: 4 (27 enodes)
1538733362.523 * * [misc]simplify:  iters left: 3 (29 enodes)
1538733362.533 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733362.533 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1538733362.533 * * * * [misc]progress:  [ 114 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1538733362.534 * [enter]simplify:  Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1538733362.535 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733362.540 * * [misc]simplify:  iters left: 5 (20 enodes)
1538733362.548 * * [misc]simplify:  iters left: 4 (29 enodes)
1538733362.552 * * [misc]simplify:  iters left: 3 (30 enodes)
1538733362.557 * [exit]simplify:  Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
1538733362.557 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
1538733362.557 * * * * [misc]progress:  [ 115 / 128 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))))>
1538733362.557 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1538733362.558 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733362.560 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733362.563 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733362.566 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733362.569 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1538733362.569 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2))))
1538733362.569 * * * * [misc]progress:  [ 116 / 128 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))>
1538733362.569 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2)))
1538733362.570 * * [misc]simplify:  iters left: 5 (10 enodes)
1538733362.572 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733362.575 * * [misc]simplify:  iters left: 3 (25 enodes)
1538733362.579 * * [misc]simplify:  iters left: 2 (26 enodes)
1538733362.583 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))
1538733362.583 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1538733362.584 * * * * [misc]progress:  [ 117 / 128 ] 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))))))))>
1538733362.584 * [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)))))
1538733362.586 * * [misc]simplify:  iters left: 6 (37 enodes)
1538733362.614 * * [misc]simplify:  iters left: 5 (108 enodes)
1538733362.676 * * [misc]simplify:  iters left: 4 (368 enodes)
1538733363.334 * [exit]simplify:  Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))
1538733363.334 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))))))
1538733363.334 * * * * [misc]progress:  [ 118 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1538733363.335 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1538733363.336 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733363.346 * * [misc]simplify:  iters left: 5 (33 enodes)
1538733363.362 * * [misc]simplify:  iters left: 4 (64 enodes)
1538733363.404 * * [misc]simplify:  iters left: 3 (179 enodes)
1538733363.545 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))
1538733363.545 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))))
1538733363.545 * * * * [misc]progress:  [ 119 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1538733363.545 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1538733363.546 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733363.554 * * [misc]simplify:  iters left: 5 (30 enodes)
1538733363.563 * * [misc]simplify:  iters left: 4 (65 enodes)
1538733363.596 * * [misc]simplify:  iters left: 3 (208 enodes)
1538733363.861 * [exit]simplify:  Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))
1538733363.861 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))))
1538733363.861 * * * * [misc]progress:  [ 120 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1538733363.861 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733363.861 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733363.863 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733363.865 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733363.868 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733363.870 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733363.870 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538733363.870 * * * * [misc]progress:  [ 121 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1538733363.870 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733363.871 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733363.872 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733363.874 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733363.877 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733363.879 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733363.879 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538733363.879 * * * * [misc]progress:  [ 122 / 128 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1538733363.880 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733363.880 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733363.881 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733363.883 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733363.886 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733363.888 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733363.888 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1538733363.888 * * * * [misc]progress:  [ 123 / 128 ] 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)))))))))))))>
1538733363.889 * [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)))))))))))
1538733363.889 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1538733363.889 * * * * [misc]progress:  [ 124 / 128 ] 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))))))))))))))>
1538733363.889 * [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))))))))))))
1538733363.889 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1538733363.889 * * * * [misc]progress:  [ 125 / 128 ] 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))))))))))))))>
1538733363.889 * [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))))))))))))
1538733363.889 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1538733363.889 * * * * [misc]progress:  [ 126 / 128 ] 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))))))))))))))>
1538733363.889 * [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)))))))))))))
1538733363.889 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733363.889 * * * * [misc]progress:  [ 127 / 128 ] 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)))))))))>
1538733363.889 * [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))))))))
1538733363.889 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733363.889 * * * * [misc]progress:  [ 128 / 128 ] 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))))))))))))>
1538733363.890 * [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)))))))))))
1538733363.890 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733363.890 * * * [misc]progress:  adding candidates to table
1538733367.157 * * [misc]progress:  iteration 3 / 4
1538733367.157 * * * [misc]progress:  picking best candidate
1538733367.252 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733367.252 * * * [misc]progress:  localizing error
1538733367.304 * * * [misc]progress:  generating rewritten candidates
1538733367.304 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 2)
1538733367.333 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 2)
1538733367.355 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2)
1538733367.427 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1538733367.591 * * * [misc]progress:  generating series expansions
1538733367.591 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 2)
1538733367.591 * [misc]backup-simplify:  Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
1538733367.591 * [misc]approximate:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
1538733367.591 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538733367.591 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538733367.591 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538733367.591 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.591 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.591 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.591 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.591 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.591 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.591 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.591 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.592 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.592 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538733367.592 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538733367.592 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.592 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.592 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.592 * [misc]backup-simplify:  Simplify n into n
1538733367.592 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538733367.592 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538733367.592 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.592 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.593 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.593 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538733367.593 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538733367.593 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538733367.593 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538733367.593 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538733367.593 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733367.593 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.593 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.593 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733367.593 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.593 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.593 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.593 * [misc]backup-simplify:  Simplify k into k
1538733367.593 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733367.593 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733367.593 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.593 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.593 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.593 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.593 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.593 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733367.594 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733367.594 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.594 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733367.594 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733367.594 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733367.595 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.595 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538733367.595 * [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))))
1538733367.595 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538733367.595 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538733367.595 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538733367.595 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733367.595 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.595 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.595 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733367.595 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.595 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.595 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.596 * [misc]backup-simplify:  Simplify k into k
1538733367.596 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733367.596 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733367.596 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.596 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.596 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.596 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.596 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.596 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733367.596 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733367.596 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.596 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733367.596 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733367.597 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733367.597 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.597 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538733367.598 * [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))))
1538733367.598 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
1538733367.598 * [misc]taylor:  Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
1538733367.598 * [misc]taylor:  Taking taylor expansion of (+ (log 2) (log n)) in k
1538733367.598 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1538733367.598 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.598 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.598 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.598 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733367.598 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.598 * [misc]backup-simplify:  Simplify n into n
1538733367.598 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733367.598 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.598 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.598 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.598 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.598 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.598 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.598 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.598 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.598 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.599 * [misc]backup-simplify:  Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
1538733367.599 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.599 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.599 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.599 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
1538733367.600 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
1538733367.600 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
1538733367.600 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1538733367.603 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538733367.603 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1538733367.603 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.603 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.604 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.604 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
1538733367.605 * [misc]backup-simplify:  Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733367.605 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.605 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.605 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.606 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733367.606 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.606 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.609 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538733367.609 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538733367.610 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.610 * [misc]backup-simplify:  Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
1538733367.611 * [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)))))
1538733367.612 * [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)))))
1538733367.612 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538733367.617 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1538733367.618 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1538733367.618 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.618 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.618 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.619 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
1538733367.621 * [misc]backup-simplify:  Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538733367.621 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.621 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.621 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.621 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.621 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733367.622 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.622 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.626 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1538733367.628 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538733367.628 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.629 * [misc]backup-simplify:  Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
1538733367.631 * [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)))))
1538733367.638 * [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)))))
1538733367.643 * [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)))))
1538733367.644 * [misc]backup-simplify:  Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538733367.644 * [misc]approximate:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1538733367.644 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.644 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.644 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.644 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.644 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.644 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.644 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.644 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.644 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538733367.644 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.644 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.644 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.644 * [misc]backup-simplify:  Simplify n into n
1538733367.644 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538733367.645 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538733367.645 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.645 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.645 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.645 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538733367.645 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538733367.645 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733367.645 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733367.645 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733367.645 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733367.646 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.646 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.646 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.646 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.646 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.646 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.646 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.646 * [misc]backup-simplify:  Simplify k into k
1538733367.646 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.646 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733367.646 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733367.646 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.646 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.646 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.646 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.646 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.646 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733367.646 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.646 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.646 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733367.647 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733367.647 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.647 * [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)))
1538733367.648 * [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))))
1538733367.648 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.648 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.648 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.648 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.648 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.648 * [misc]backup-simplify:  Simplify k into k
1538733367.648 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.648 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733367.648 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.648 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.648 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.648 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.648 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.649 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733367.649 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.649 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.649 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733367.649 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733367.649 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.650 * [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)))
1538733367.650 * [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))))
1538733367.650 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
1538733367.650 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
1538733367.650 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733367.650 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.651 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.651 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.651 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.651 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.651 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.651 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.651 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.651 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.651 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.651 * [misc]taylor:  Taking taylor expansion of (- (log 2) (log n)) in k
1538733367.651 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1538733367.651 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.651 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.651 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.651 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733367.651 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.651 * [misc]backup-simplify:  Simplify n into n
1538733367.651 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733367.652 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.652 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.652 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.652 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733367.652 * [misc]backup-simplify:  Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
1538733367.652 * [misc]backup-simplify:  Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
1538733367.653 * [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))))
1538733367.653 * [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))))
1538733367.653 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
1538733367.656 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538733367.656 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733367.656 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733367.657 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.657 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.657 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.658 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
1538733367.659 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733367.659 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.659 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.659 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.659 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.659 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733367.664 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1538733367.664 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733367.664 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733367.664 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.664 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.664 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.665 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
1538733367.666 * [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
1538733367.666 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.666 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.666 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.666 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.666 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.666 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733367.670 * [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
1538733367.671 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733367.671 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538733367.671 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.671 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.671 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.672 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
1538733367.674 * [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
1538733367.674 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.674 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.674 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.674 * [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))))
1538733367.674 * [misc]backup-simplify:  Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.674 * [misc]approximate:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1538733367.674 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733367.674 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538733367.674 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538733367.674 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733367.674 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.674 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.674 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.674 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.674 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.674 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.674 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.675 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.675 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.675 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.675 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538733367.675 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538733367.675 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733367.675 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.675 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.675 * [misc]backup-simplify:  Simplify n into n
1538733367.675 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538733367.675 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538733367.675 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.675 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.675 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538733367.675 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.675 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.675 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.675 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.675 * [misc]backup-simplify:  Simplify k into k
1538733367.675 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.675 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.675 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.675 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733367.675 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733367.675 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.675 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.675 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.675 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.676 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733367.676 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733367.676 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.676 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733367.676 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.676 * [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)))
1538733367.676 * [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))))
1538733367.676 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733367.676 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733367.676 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733367.677 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733367.677 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.677 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.677 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.677 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.677 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.677 * [misc]backup-simplify:  Simplify k into k
1538733367.677 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.677 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.677 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.677 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733367.677 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733367.677 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733367.677 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.677 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.677 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.677 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.677 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733367.677 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733367.677 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.677 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733367.678 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.678 * [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)))
1538733367.678 * [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))))
1538733367.678 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
1538733367.678 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
1538733367.678 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733367.678 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.678 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.678 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.678 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.678 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.678 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.678 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.678 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.678 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.678 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.678 * [misc]taylor:  Taking taylor expansion of (- (log -2) (log n)) in k
1538733367.678 * [misc]taylor:  Taking taylor expansion of (log -2) in k
1538733367.678 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733367.678 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.678 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733367.679 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733367.679 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.679 * [misc]backup-simplify:  Simplify n into n
1538733367.679 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733367.679 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.679 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.679 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733367.679 * [misc]backup-simplify:  Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
1538733367.679 * [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
1538733367.679 * [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))))
1538733367.680 * [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))))
1538733367.680 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538733367.681 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
1538733367.681 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733367.682 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733367.682 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.682 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.682 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
1538733367.683 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733367.683 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.683 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.683 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.683 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.683 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733367.686 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
1538733367.686 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733367.686 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1538733367.686 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.686 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.687 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
1538733367.688 * [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
1538733367.688 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.688 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.688 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.688 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.688 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.689 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733367.694 * [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
1538733367.694 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733367.694 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1538733367.695 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.695 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.695 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
1538733367.699 * [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
1538733367.699 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733367.699 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.699 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.699 * [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)))))
1538733367.699 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2)
1538733367.700 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
1538733367.700 * [misc]approximate:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
1538733367.700 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538733367.700 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538733367.700 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538733367.700 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.700 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.700 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.700 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.700 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.700 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.700 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.700 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.700 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.700 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.700 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.700 * [misc]backup-simplify:  Simplify PI into PI
1538733367.701 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.701 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.701 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.701 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.702 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733367.703 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538733367.703 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538733367.703 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538733367.703 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538733367.703 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.703 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.703 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.703 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.703 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.703 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.703 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.703 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.703 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.703 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.703 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.703 * [misc]backup-simplify:  Simplify PI into PI
1538733367.703 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.704 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.704 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.704 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.704 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733367.705 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538733367.706 * [misc]backup-simplify:  Simplify (pow PI 1/2) into (pow PI 1/2)
1538733367.708 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538733367.709 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733367.709 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.709 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.710 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1538733367.714 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1538733367.715 * [misc]backup-simplify:  Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
1538733367.720 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1538733367.721 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733367.721 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.721 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.723 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1538733367.729 * [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)))
1538733367.731 * [misc]backup-simplify:  Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
1538733367.734 * [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))))
1538733367.734 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733367.734 * [misc]approximate:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
1538733367.734 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733367.734 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538733367.734 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538733367.734 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733367.734 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.734 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.734 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.734 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.734 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.734 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.734 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.734 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.734 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.734 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.734 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.734 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.734 * [misc]backup-simplify:  Simplify PI into PI
1538733367.735 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.735 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.735 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.735 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.735 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538733367.736 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733367.736 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733367.736 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538733367.736 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538733367.736 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733367.736 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.736 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.736 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.736 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.736 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.736 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.736 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.736 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.736 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.736 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.736 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.736 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.736 * [misc]backup-simplify:  Simplify PI into PI
1538733367.736 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.736 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.736 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.736 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.737 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538733367.737 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733367.737 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733367.737 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.737 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.737 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.737 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.737 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.737 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.737 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
1538733367.738 * [misc]backup-simplify:  Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.738 * [misc]approximate:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
1538733367.738 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733367.738 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538733367.738 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538733367.738 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733367.738 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.738 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.738 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.738 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.738 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.738 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.738 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.738 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.738 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.738 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.738 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.738 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.738 * [misc]backup-simplify:  Simplify PI into PI
1538733367.738 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.738 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.738 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.739 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733367.739 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.739 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733367.739 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538733367.739 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538733367.739 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733367.739 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.739 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.739 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.739 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.739 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.739 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.739 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.739 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.739 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.739 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.739 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.739 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.739 * [misc]backup-simplify:  Simplify PI into PI
1538733367.740 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.740 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.740 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.740 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733367.740 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.741 * [misc]backup-simplify:  Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.741 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.741 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.741 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.741 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.741 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.741 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.741 * [misc]backup-simplify:  Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
1538733367.741 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2)
1538733367.741 * [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))
1538733367.741 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1538733367.741 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.741 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.741 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.741 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.741 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.741 * [misc]backup-simplify:  Simplify k into k
1538733367.741 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733367.741 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.742 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.742 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.742 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.742 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.742 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733367.742 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733367.742 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.742 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733367.742 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733367.742 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733367.742 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.742 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538733367.743 * [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))))
1538733367.743 * [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)))))
1538733367.743 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538733367.743 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.743 * [misc]backup-simplify:  Simplify k into k
1538733367.743 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538733367.743 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538733367.743 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.743 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.743 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.743 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.743 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.743 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.743 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.743 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538733367.743 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.743 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.743 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.743 * [misc]backup-simplify:  Simplify n into n
1538733367.743 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538733367.743 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538733367.744 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.744 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.744 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.744 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538733367.744 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538733367.744 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2)))
1538733367.744 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733367.744 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.744 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.744 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.744 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.744 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.745 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.745 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.745 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.745 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.745 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.745 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.745 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.745 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538733367.745 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.745 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.745 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.745 * [misc]backup-simplify:  Simplify n into n
1538733367.745 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538733367.745 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538733367.745 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.745 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.745 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.745 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538733367.745 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538733367.745 * [misc]backup-simplify:  Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2)))
1538733367.745 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733367.746 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.746 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.746 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.746 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.746 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.746 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0
1538733367.746 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733367.746 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.746 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.746 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 n)) into 0
1538733367.747 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0
1538733367.747 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733367.747 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.747 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.747 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n))))
1538733367.748 * [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))))
1538733367.749 * [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))))
1538733367.750 * [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))))
1538733367.750 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n
1538733367.750 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n
1538733367.750 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.750 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.750 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n
1538733367.750 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 n)) in n
1538733367.750 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1538733367.750 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.750 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.750 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.750 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.750 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.751 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.751 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538733367.751 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.751 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.751 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538733367.751 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538733367.751 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.752 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538733367.752 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
1538733367.753 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.753 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.753 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.754 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733367.754 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0
1538733367.755 * [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
1538733367.755 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733367.755 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.756 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.756 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0
1538733367.757 * [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)))
1538733367.768 * [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)))))
1538733367.780 * [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))))))
1538733367.780 * [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
1538733367.780 * [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
1538733367.780 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n
1538733367.780 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.780 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.780 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n
1538733367.780 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n
1538733367.780 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733367.780 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.780 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.781 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733367.781 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733367.781 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n
1538733367.781 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733367.781 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733367.781 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.781 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.781 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.781 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.781 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.781 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733367.782 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733367.782 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.782 * [misc]taylor:  Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1538733367.782 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538733367.782 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.782 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.782 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538733367.782 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538733367.782 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 n)) in n
1538733367.782 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1538733367.782 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.782 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.782 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.783 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.783 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.783 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.783 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n
1538733367.783 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n
1538733367.783 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.783 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.783 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n
1538733367.783 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 n)) in n
1538733367.783 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1538733367.784 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.784 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.784 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.784 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.784 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.784 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.784 * [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in n
1538733367.784 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.784 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.785 * [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
1538733367.785 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1538733367.785 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.786 * [misc]backup-simplify:  Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1538733367.787 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))
1538733367.788 * [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)))
1538733367.788 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.788 * [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1538733367.788 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1538733367.790 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538733367.790 * [misc]backup-simplify:  Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1538733367.792 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0
1538733367.793 * [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)))))))
1538733367.794 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0
1538733367.799 * [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)))))))
1538733367.799 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.799 * [misc]backup-simplify:  Simplify (* 0 (sqrt 1/2)) into 0
1538733367.800 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
1538733367.800 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.805 * [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)))))))))
1538733367.810 * [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)))))))
1538733367.815 * [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)))))))
1538733367.815 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1538733367.816 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733367.816 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733367.817 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.818 * [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)))
1538733367.818 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.818 * [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
1538733367.826 * [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))))))))))))
1538733367.826 * [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)))
1538733367.826 * [misc]approximate:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1538733367.826 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.826 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.826 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.826 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.826 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.826 * [misc]backup-simplify:  Simplify k into k
1538733367.826 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.826 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733367.826 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.826 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.826 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.826 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.826 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.827 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733367.827 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.827 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.827 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733367.827 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733367.827 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.827 * [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)))
1538733367.828 * [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))))
1538733367.828 * [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)))))
1538733367.828 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538733367.828 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.828 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.828 * [misc]backup-simplify:  Simplify k into k
1538733367.828 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.828 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538733367.828 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733367.828 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538733367.828 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.828 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.828 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.828 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.828 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.828 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.828 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.828 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.828 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.829 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538733367.829 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538733367.829 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.829 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.829 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.829 * [misc]backup-simplify:  Simplify n into n
1538733367.829 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538733367.829 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538733367.829 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.829 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.829 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.829 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538733367.829 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538733367.829 * [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)))))
1538733367.829 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733367.829 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.829 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.830 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.830 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.830 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.830 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.830 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.830 * [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.830 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.830 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.830 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.830 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.830 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.830 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.830 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.830 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.830 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538733367.831 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538733367.831 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.831 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.831 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.831 * [misc]backup-simplify:  Simplify n into n
1538733367.831 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538733367.831 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538733367.831 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.831 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.831 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.831 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538733367.831 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538733367.831 * [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)))))
1538733367.831 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733367.831 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.831 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.831 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.831 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.831 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.832 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.832 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.832 * [misc]backup-simplify:  Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1538733367.832 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733367.832 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.832 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.832 * [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
1538733367.832 * [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)))))))
1538733367.833 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.833 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.833 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.833 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.833 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.833 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.833 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.833 * [misc]backup-simplify:  Simplify k into k
1538733367.833 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.833 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733367.833 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.833 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.833 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.833 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.833 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.833 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733367.833 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.833 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.833 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733367.833 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733367.834 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.834 * [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)))
1538733367.834 * [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))))
1538733367.834 * [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)))))
1538733367.834 * [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)))))
1538733367.835 * [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)))))))
1538733367.835 * [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)))))))
1538733367.835 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.835 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733367.836 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733367.836 * [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
1538733367.836 * [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)))))))
1538733367.836 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538733367.836 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733367.836 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.836 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.836 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733367.836 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.837 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.837 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.837 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.837 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.837 * [misc]backup-simplify:  Simplify k into k
1538733367.837 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.837 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733367.837 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.837 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.837 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.837 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.837 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.837 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733367.837 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.837 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.837 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733367.837 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733367.837 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.838 * [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)))
1538733367.838 * [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))))
1538733367.838 * [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)))))
1538733367.838 * [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)))))
1538733367.839 * [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)))))))
1538733367.839 * [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)))))))
1538733367.839 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
1538733367.841 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538733367.841 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733367.841 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733367.841 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.841 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.841 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.842 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
1538733367.842 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733367.843 * [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
1538733367.843 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
1538733367.843 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.843 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.843 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.844 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733367.844 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733367.845 * [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
1538733367.845 * [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)))))))
1538733367.845 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.845 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.845 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.845 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.845 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.845 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.845 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.845 * [misc]backup-simplify:  Simplify k into k
1538733367.845 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.845 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733367.845 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.845 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.845 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.845 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.846 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.846 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733367.846 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.846 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.846 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733367.846 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733367.846 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733367.846 * [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)))
1538733367.847 * [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))))
1538733367.847 * [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)))))
1538733367.847 * [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)))))
1538733367.847 * [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)))))))
1538733367.847 * [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)))))))
1538733367.849 * [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)))))))))))
1538733367.849 * [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)))
1538733367.849 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1538733367.849 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of -1 in n
1538733367.849 * [misc]backup-simplify:  Simplify -1 into -1
1538733367.849 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.849 * [misc]backup-simplify:  Simplify k into k
1538733367.849 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538733367.849 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538733367.849 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538733367.849 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538733367.849 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.849 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.849 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.849 * [misc]backup-simplify:  Simplify k into k
1538733367.849 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.849 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.849 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.849 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733367.849 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733367.849 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.849 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.849 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.849 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.850 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733367.850 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733367.850 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.850 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733367.850 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.850 * [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)))
1538733367.850 * [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))))
1538733367.851 * [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)))))
1538733367.851 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733367.851 * [misc]backup-simplify:  Simplify -1 into -1
1538733367.851 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.851 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.851 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.851 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733367.851 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.851 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733367.851 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.851 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.851 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.851 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.852 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.852 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.852 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.852 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.852 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.852 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538733367.852 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538733367.852 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733367.852 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.852 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.852 * [misc]backup-simplify:  Simplify n into n
1538733367.852 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538733367.852 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538733367.852 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.852 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.852 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538733367.852 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.852 * [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)))
1538733367.852 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1538733367.852 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733367.852 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733367.852 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733367.852 * [misc]backup-simplify:  Simplify -1 into -1
1538733367.853 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.853 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.853 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.853 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733367.853 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.853 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733367.853 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.853 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.853 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.853 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.853 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.853 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.853 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.853 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.853 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538733367.853 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733367.853 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.853 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.853 * [misc]backup-simplify:  Simplify n into n
1538733367.854 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538733367.854 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538733367.854 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733367.854 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.854 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538733367.854 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538733367.854 * [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)))
1538733367.854 * [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.854 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.854 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.854 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.854 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.854 * [misc]backup-simplify:  Simplify k into k
1538733367.854 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.854 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.854 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.854 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733367.854 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733367.854 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.854 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.854 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.854 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.855 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733367.855 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733367.855 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.855 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733367.855 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.855 * [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)))
1538733367.855 * [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))))
1538733367.856 * [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)))))
1538733367.856 * [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)))))
1538733367.856 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538733367.857 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733367.857 * [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)))))
1538733367.857 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.857 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.857 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.857 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.857 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.857 * [misc]backup-simplify:  Simplify k into k
1538733367.857 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.857 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.857 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.857 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733367.857 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733367.857 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.857 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.857 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.858 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.858 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733367.858 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733367.858 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.858 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733367.858 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.858 * [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)))
1538733367.858 * [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))))
1538733367.859 * [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)))))
1538733367.859 * [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)))))
1538733367.859 * [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)))))))
1538733367.859 * [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)))))))
1538733367.860 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538733367.863 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
1538733367.863 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733367.863 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733367.864 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.864 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.864 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
1538733367.866 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733367.867 * [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
1538733367.867 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.867 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733367.868 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733367.869 * [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)))))
1538733367.869 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.869 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.869 * [misc]taylor:  Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733367.869 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.870 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.870 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.870 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.870 * [misc]backup-simplify:  Simplify k into k
1538733367.870 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.870 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.870 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.870 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733367.870 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733367.870 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733367.870 * [misc]backup-simplify:  Simplify -2 into -2
1538733367.870 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.870 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.870 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.870 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733367.870 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733367.870 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733367.870 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733367.871 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733367.871 * [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)))
1538733367.872 * [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))))
1538733367.872 * [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)))))
1538733367.872 * [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)))))
1538733367.873 * [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)))))))
1538733367.874 * [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)))))))
1538733367.876 * [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)))))))))
1538733367.876 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1538733367.877 * [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)))
1538733367.877 * [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
1538733367.877 * [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
1538733367.877 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.877 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.877 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.877 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.877 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.877 * [misc]backup-simplify:  Simplify k into k
1538733367.877 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733367.877 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.877 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.877 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.877 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.877 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.877 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733367.878 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733367.878 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.878 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733367.878 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733367.878 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733367.878 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.879 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
1538733367.879 * [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))))
1538733367.879 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
1538733367.879 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
1538733367.879 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
1538733367.879 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1538733367.879 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.879 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.879 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1538733367.879 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733367.879 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.879 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.879 * [misc]backup-simplify:  Simplify k into k
1538733367.879 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733367.879 * [misc]taylor:  Taking taylor expansion of PI in n
1538733367.880 * [misc]backup-simplify:  Simplify PI into PI
1538733367.880 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.880 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1538733367.880 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1538733367.880 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1538733367.880 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
1538733367.881 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
1538733367.881 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538733367.881 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733367.881 * [misc]taylor:  Taking taylor expansion of k in n
1538733367.881 * [misc]backup-simplify:  Simplify k into k
1538733367.881 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733367.881 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538733367.881 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733367.881 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538733367.881 * [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
1538733367.881 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
1538733367.881 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538733367.882 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538733367.882 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538733367.882 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.882 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.882 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.882 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.882 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.882 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.882 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.882 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.882 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.882 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538733367.882 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538733367.882 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.882 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.882 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.882 * [misc]backup-simplify:  Simplify n into n
1538733367.882 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538733367.882 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538733367.882 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.882 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.883 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.883 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538733367.883 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538733367.883 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538733367.883 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538733367.883 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538733367.883 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.883 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.883 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.883 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.883 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.883 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.883 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.883 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.883 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.883 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.883 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.883 * [misc]backup-simplify:  Simplify PI into PI
1538733367.884 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.884 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.884 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.884 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.885 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733367.886 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538733367.886 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733367.886 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.886 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.886 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.886 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.887 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.887 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.887 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.887 * [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
1538733367.887 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
1538733367.887 * [misc]taylor:  Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
1538733367.887 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
1538733367.887 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
1538733367.887 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.888 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.888 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.888 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.888 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.888 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.888 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.888 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.888 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.888 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in k
1538733367.888 * [misc]taylor:  Taking taylor expansion of (* 2 n) in k
1538733367.888 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733367.888 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.888 * [misc]taylor:  Taking taylor expansion of n in k
1538733367.888 * [misc]backup-simplify:  Simplify n into n
1538733367.888 * [misc]backup-simplify:  Simplify (* 2 n) into (* 2 n)
1538733367.888 * [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
1538733367.888 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.889 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.889 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.889 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
1538733367.889 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
1538733367.889 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
1538733367.889 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
1538733367.889 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
1538733367.889 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1538733367.889 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.889 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.889 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1538733367.889 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733367.889 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733367.889 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.889 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.889 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.890 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733367.890 * [misc]taylor:  Taking taylor expansion of PI in k
1538733367.890 * [misc]backup-simplify:  Simplify PI into PI
1538733367.890 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.890 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1538733367.890 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.891 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733367.891 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733367.892 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1538733367.892 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733367.892 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733367.892 * [misc]taylor:  Taking taylor expansion of k in k
1538733367.892 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.892 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.892 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733367.892 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.893 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733367.893 * [misc]backup-simplify:  Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2)))
1538733367.894 * [misc]backup-simplify:  Simplify (* (sqrt (* PI (* n 2))) 0) into 0
1538733367.894 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733367.894 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.894 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.897 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538733367.897 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733367.897 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.897 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.898 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1538733367.902 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1538733367.902 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 n)) into 0
1538733367.903 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0
1538733367.903 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1538733367.904 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733367.904 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733367.904 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n))))
1538733367.904 * [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))))
1538733367.906 * [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))))))
1538733367.908 * [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)))))
1538733367.908 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538733367.908 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733367.908 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.908 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.908 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733367.908 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733367.909 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.909 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.909 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733367.909 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733367.909 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733367.909 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733367.909 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.909 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.909 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.909 * [misc]taylor:  Taking taylor expansion of PI in n
1538733367.909 * [misc]backup-simplify:  Simplify PI into PI
1538733367.909 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733367.910 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733367.910 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.911 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733367.911 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733367.911 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733367.911 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.911 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.911 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.912 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733367.913 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733367.918 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1538733367.918 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733367.918 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.918 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.920 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1538733367.925 * [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)))
1538733367.926 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0
1538733367.928 * [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
1538733367.928 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1538733367.928 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.929 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.929 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0
1538733367.931 * [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)))
1538733367.938 * [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)))))))
1538733367.946 * [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)))))))))
1538733367.946 * [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
1538733367.946 * [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
1538733367.946 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n
1538733367.947 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.947 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.947 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n
1538733367.947 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log PI)) in n
1538733367.947 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733367.947 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.947 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.947 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733367.947 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733367.947 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733367.947 * [misc]taylor:  Taking taylor expansion of PI in n
1538733367.947 * [misc]backup-simplify:  Simplify PI into PI
1538733367.948 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733367.948 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538733367.948 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538733367.948 * [misc]taylor:  Taking taylor expansion of PI in n
1538733367.948 * [misc]backup-simplify:  Simplify PI into PI
1538733367.948 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.948 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.948 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.948 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538733367.949 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538733367.949 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.949 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733367.949 * [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
1538733367.949 * [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
1538733367.949 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733367.950 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.950 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.950 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733367.950 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733367.950 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.950 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.950 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733367.950 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733367.950 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733367.950 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733367.950 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.950 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.950 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.950 * [misc]taylor:  Taking taylor expansion of PI in n
1538733367.950 * [misc]backup-simplify:  Simplify PI into PI
1538733367.951 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733367.951 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733367.951 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.952 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733367.952 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n
1538733367.952 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n
1538733367.952 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733367.952 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733367.952 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n
1538733367.952 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n
1538733367.952 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733367.952 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.952 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.952 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733367.953 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733367.953 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733367.953 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733367.953 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733367.953 * [misc]backup-simplify:  Simplify 2 into 2
1538733367.953 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.953 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.953 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.953 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733367.953 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733367.953 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733367.953 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538733367.953 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538733367.953 * [misc]taylor:  Taking taylor expansion of PI in n
1538733367.953 * [misc]backup-simplify:  Simplify PI into PI
1538733367.954 * [misc]taylor:  Taking taylor expansion of n in n
1538733367.954 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.954 * [misc]backup-simplify:  Simplify 1 into 1
1538733367.954 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538733367.955 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538733367.955 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733367.955 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733367.956 * [misc]backup-simplify:  Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI))
1538733367.957 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (log PI)) 0) into 0
1538733367.957 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733367.958 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733367.958 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733367.958 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733367.958 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2))
1538733367.959 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0
1538733367.959 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733367.959 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.959 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.959 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.960 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.960 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.960 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.961 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733367.963 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733367.964 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733367.966 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733367.966 * [misc]backup-simplify:  Simplify 0 into 0
1538733367.966 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733367.967 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733367.973 * [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
1538733367.974 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538733367.974 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.974 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.975 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
1538733367.980 * [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)))
1538733367.980 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
1538733367.982 * [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
1538733367.982 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1538733367.983 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733367.983 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733367.983 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0
1538733367.984 * [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)))
1538733367.996 * [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)))))))))
1538733368.022 * [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)))))))))))))))
1538733368.022 * [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
1538733368.022 * [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
1538733368.022 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n
1538733368.022 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.022 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.022 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n
1538733368.022 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log PI)) in n
1538733368.022 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733368.022 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.022 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.023 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733368.023 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733368.023 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.023 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.023 * [misc]backup-simplify:  Simplify PI into PI
1538733368.023 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.023 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538733368.023 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538733368.023 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.023 * [misc]backup-simplify:  Simplify PI into PI
1538733368.023 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.023 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.023 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.024 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538733368.024 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538733368.025 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.025 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733368.025 * [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
1538733368.025 * [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
1538733368.025 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n
1538733368.025 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.025 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.025 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n
1538733368.025 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n
1538733368.025 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733368.025 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.026 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.026 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733368.026 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733368.026 * [misc]taylor:  Taking taylor expansion of (pow (log PI) 2) in n
1538733368.026 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.026 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.026 * [misc]backup-simplify:  Simplify PI into PI
1538733368.026 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.026 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538733368.026 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538733368.026 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.027 * [misc]backup-simplify:  Simplify PI into PI
1538733368.027 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.027 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.027 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.027 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538733368.028 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538733368.028 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.028 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733368.028 * [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
1538733368.028 * [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
1538733368.028 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n
1538733368.028 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.028 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.029 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n
1538733368.029 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n
1538733368.029 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733368.029 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.029 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.029 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733368.029 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733368.029 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 n)) 2) in n
1538733368.029 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733368.029 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733368.029 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.029 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.029 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.029 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.029 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.029 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733368.030 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733368.030 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733368.030 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733368.030 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538733368.030 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538733368.030 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.030 * [misc]backup-simplify:  Simplify PI into PI
1538733368.030 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.030 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.030 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.031 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538733368.031 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538733368.031 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.032 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733368.032 * [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
1538733368.032 * [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
1538733368.032 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n
1538733368.032 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.032 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.032 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n
1538733368.032 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n
1538733368.032 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733368.032 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.032 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.033 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733368.033 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733368.033 * [misc]taylor:  Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n
1538733368.033 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733368.033 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733368.033 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.033 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.033 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.033 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.033 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.033 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733368.033 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733368.034 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733368.034 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.034 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.034 * [misc]backup-simplify:  Simplify PI into PI
1538733368.034 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.034 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733368.034 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733368.034 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.034 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.034 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.034 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.034 * [misc]backup-simplify:  Simplify PI into PI
1538733368.035 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733368.035 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733368.035 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.036 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733368.036 * [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
1538733368.036 * [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
1538733368.036 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733368.036 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.036 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.036 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733368.036 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733368.036 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.036 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.036 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733368.037 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733368.037 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733368.037 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733368.037 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.037 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.037 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.037 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.037 * [misc]backup-simplify:  Simplify PI into PI
1538733368.037 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733368.038 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733368.038 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.039 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733368.039 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n
1538733368.039 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n
1538733368.039 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.039 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.039 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n
1538733368.039 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n
1538733368.039 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733368.039 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.039 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.039 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733368.039 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733368.039 * [misc]taylor:  Taking taylor expansion of (log (* 2 n)) in n
1538733368.039 * [misc]taylor:  Taking taylor expansion of (* 2 n) in n
1538733368.039 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.039 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.039 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.039 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.039 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.040 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733368.040 * [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
1538733368.040 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733368.040 * [misc]taylor:  Taking taylor expansion of (sqrt (* PI n)) in n
1538733368.040 * [misc]taylor:  Taking taylor expansion of (* PI n) in n
1538733368.040 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.040 * [misc]backup-simplify:  Simplify PI into PI
1538733368.040 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.040 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.040 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.041 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1538733368.041 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1538733368.041 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.042 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733368.043 * [misc]backup-simplify:  Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI))
1538733368.044 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (log PI)) 0) into 0
1538733368.044 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733368.045 * [misc]backup-simplify:  Simplify (* (log PI) (log PI)) into (pow (log PI) 2)
1538733368.046 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2))
1538733368.049 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0
1538733368.049 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733368.049 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733368.050 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733368.050 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2)
1538733368.051 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2))
1538733368.052 * [misc]backup-simplify:  Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0
1538733368.052 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733368.052 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733368.053 * [misc]backup-simplify:  Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI))
1538733368.053 * [misc]backup-simplify:  Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))
1538733368.054 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0
1538733368.055 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733368.055 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733368.055 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733368.055 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733368.056 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2))
1538733368.056 * [misc]backup-simplify:  Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0
1538733368.056 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733368.056 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.057 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.057 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.057 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.057 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.057 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.057 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.058 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.058 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.058 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.058 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.058 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.061 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538733368.062 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0
1538733368.064 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))
1538733368.067 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))
1538733368.069 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733368.071 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733368.071 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1538733368.073 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538733368.074 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
1538733368.074 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0
1538733368.075 * [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))))))
1538733368.078 * [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))))))
1538733368.080 * [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))))))
1538733368.084 * [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)))))))
1538733368.088 * [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)))))))
1538733368.095 * [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)))))))))
1538733368.103 * [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)))))))))
1538733368.111 * [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)))))))))
1538733368.112 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733368.114 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538733368.116 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538733368.118 * [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))))
1538733368.124 * [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))))
1538733368.126 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538733368.128 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538733368.144 * [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)))))))))))))))
1538733368.144 * [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))
1538733368.144 * [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
1538733368.145 * [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
1538733368.145 * [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
1538733368.145 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.145 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538733368.145 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538733368.145 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.145 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.145 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.145 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.145 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.145 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.145 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.145 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.145 * [misc]backup-simplify:  Simplify k into k
1538733368.145 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.145 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.145 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.145 * [misc]backup-simplify:  Simplify PI into PI
1538733368.146 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.146 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.146 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.146 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.146 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538733368.147 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733368.147 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.147 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.147 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.147 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.147 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.147 * [misc]backup-simplify:  Simplify k into k
1538733368.147 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.147 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733368.147 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.148 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.148 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.148 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.148 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.148 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733368.148 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733368.148 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.148 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.148 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.149 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733368.149 * [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)))
1538733368.150 * [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))))
1538733368.150 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538733368.150 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.150 * [misc]backup-simplify:  Simplify k into k
1538733368.150 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538733368.150 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538733368.150 * [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
1538733368.150 * [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
1538733368.150 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733368.150 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538733368.150 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538733368.150 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733368.150 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.150 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.150 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.150 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.150 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.150 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.150 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.150 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.150 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.150 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.151 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733368.151 * [misc]taylor:  Taking taylor expansion of PI in k
1538733368.151 * [misc]backup-simplify:  Simplify PI into PI
1538733368.151 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.151 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.151 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733368.151 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733368.152 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538733368.152 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733368.153 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.153 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.153 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.153 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.153 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.153 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.153 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.153 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.153 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538733368.153 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733368.153 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.153 * [misc]taylor:  Taking taylor expansion of n in k
1538733368.153 * [misc]backup-simplify:  Simplify n into n
1538733368.153 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538733368.153 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538733368.154 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.154 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733368.154 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733368.154 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538733368.154 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538733368.154 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733368.154 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.154 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.154 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.154 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.155 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733368.155 * [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
1538733368.155 * [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
1538733368.155 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733368.155 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
1538733368.155 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
1538733368.155 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733368.155 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.155 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.156 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.156 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.156 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.156 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.156 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.156 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.156 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.156 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.156 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733368.156 * [misc]taylor:  Taking taylor expansion of PI in k
1538733368.156 * [misc]backup-simplify:  Simplify PI into PI
1538733368.156 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.157 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.157 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733368.157 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733368.158 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1538733368.158 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733368.158 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
1538733368.158 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
1538733368.158 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
1538733368.158 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1538733368.158 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.158 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.158 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.158 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.158 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.158 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.158 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.158 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.158 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.159 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.159 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in k
1538733368.159 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in k
1538733368.159 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733368.159 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.159 * [misc]taylor:  Taking taylor expansion of n in k
1538733368.159 * [misc]backup-simplify:  Simplify n into n
1538733368.159 * [misc]backup-simplify:  Simplify (/ 2 n) into (/ 2 n)
1538733368.159 * [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
1538733368.159 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.159 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1538733368.159 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1538733368.160 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
1538733368.160 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
1538733368.160 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733368.160 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.160 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.160 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.160 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.160 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733368.161 * [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)))))
1538733368.161 * [misc]backup-simplify:  Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1538733368.161 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733368.161 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.161 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.162 * [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
1538733368.162 * [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)))))))
1538733368.163 * [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
1538733368.163 * [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
1538733368.163 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.163 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.163 * [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
1538733368.163 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.163 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538733368.163 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538733368.163 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.163 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.163 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.163 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.163 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.163 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.163 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.163 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.163 * [misc]backup-simplify:  Simplify k into k
1538733368.163 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.163 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.163 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.163 * [misc]backup-simplify:  Simplify PI into PI
1538733368.164 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.164 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.164 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.164 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.164 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538733368.165 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733368.165 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.165 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.165 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.165 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.165 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.165 * [misc]backup-simplify:  Simplify k into k
1538733368.165 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.165 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733368.165 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.165 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.165 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.165 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.165 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.166 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733368.166 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733368.166 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.166 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.166 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.166 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733368.167 * [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)))
1538733368.167 * [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))))
1538733368.168 * [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)))))
1538733368.168 * [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))))))
1538733368.169 * [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)))))))
1538733368.170 * [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)))))))
1538733368.170 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.171 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733368.171 * [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
1538733368.172 * [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)))))))
1538733368.172 * [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
1538733368.172 * [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
1538733368.172 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.172 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.172 * [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
1538733368.172 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.172 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538733368.172 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538733368.172 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.172 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.172 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.172 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.173 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.173 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.173 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.173 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.173 * [misc]backup-simplify:  Simplify k into k
1538733368.173 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.173 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.173 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.173 * [misc]backup-simplify:  Simplify PI into PI
1538733368.173 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.173 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.173 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.173 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.174 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538733368.174 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733368.174 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.174 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733368.174 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733368.174 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.174 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.174 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.175 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.175 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.175 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.175 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.175 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.175 * [misc]backup-simplify:  Simplify k into k
1538733368.175 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.175 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733368.175 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733368.175 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.175 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.175 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.175 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.175 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.175 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733368.175 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733368.175 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.176 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.176 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.176 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733368.176 * [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)))
1538733368.177 * [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))))
1538733368.177 * [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)))))
1538733368.178 * [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))))))
1538733368.178 * [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)))))))
1538733368.179 * [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)))))))
1538733368.179 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
1538733368.182 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1538733368.182 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733368.182 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733368.182 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.183 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.183 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733368.183 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
1538733368.185 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733368.187 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538733368.188 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733368.188 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733368.188 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.188 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.189 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
1538733368.190 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733368.191 * [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
1538733368.192 * [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
1538733368.192 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733368.192 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.192 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.193 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733368.194 * [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
1538733368.194 * [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)))))))
1538733368.195 * [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
1538733368.195 * [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
1538733368.195 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.195 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.195 * [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
1538733368.195 * [misc]taylor:  Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.195 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
1538733368.195 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
1538733368.195 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.195 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.195 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.195 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.195 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.195 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.195 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.195 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.195 * [misc]backup-simplify:  Simplify k into k
1538733368.195 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.195 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.195 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.195 * [misc]backup-simplify:  Simplify PI into PI
1538733368.196 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.196 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.196 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.196 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.196 * [misc]backup-simplify:  Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
1538733368.197 * [misc]backup-simplify:  Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
1538733368.197 * [misc]taylor:  Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.197 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.197 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.197 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.197 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.197 * [misc]backup-simplify:  Simplify k into k
1538733368.197 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.197 * [misc]taylor:  Taking taylor expansion of (log (/ 2 n)) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of (/ 2 n) in n
1538733368.197 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733368.197 * [misc]backup-simplify:  Simplify 2 into 2
1538733368.197 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.197 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.197 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.198 * [misc]backup-simplify:  Simplify (/ 2 1) into 2
1538733368.198 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1538733368.198 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.198 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1538733368.198 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1538733368.198 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
1538733368.199 * [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)))
1538733368.199 * [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))))
1538733368.200 * [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)))))
1538733368.200 * [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))))))
1538733368.201 * [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)))))))
1538733368.201 * [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)))))))
1538733368.205 * [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))))))))
1538733368.205 * [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)))
1538733368.205 * [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
1538733368.206 * [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
1538733368.206 * [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
1538733368.206 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.206 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.206 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.206 * [misc]backup-simplify:  Simplify k into k
1538733368.206 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.206 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.206 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.206 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733368.206 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733368.206 * [misc]backup-simplify:  Simplify -2 into -2
1538733368.206 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.206 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.206 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.207 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733368.207 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733368.207 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.207 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.207 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733368.208 * [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)))
1538733368.208 * [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))))
1538733368.208 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.208 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538733368.208 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538733368.208 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.208 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.208 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.208 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.208 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.208 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.208 * [misc]backup-simplify:  Simplify k into k
1538733368.208 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.208 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.208 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.208 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.208 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.209 * [misc]backup-simplify:  Simplify PI into PI
1538733368.209 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.209 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.209 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.210 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538733368.210 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.210 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538733368.210 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538733368.210 * [misc]taylor:  Taking taylor expansion of -1 in n
1538733368.210 * [misc]backup-simplify:  Simplify -1 into -1
1538733368.210 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.210 * [misc]backup-simplify:  Simplify k into k
1538733368.210 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538733368.210 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538733368.211 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538733368.211 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538733368.211 * [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)))
1538733368.212 * [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)))
1538733368.212 * [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
1538733368.212 * [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
1538733368.212 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733368.212 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538733368.212 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538733368.212 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733368.212 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.212 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.212 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.212 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.212 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.212 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.212 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.212 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.213 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.213 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.213 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538733368.213 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538733368.213 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733368.213 * [misc]backup-simplify:  Simplify -2 into -2
1538733368.213 * [misc]taylor:  Taking taylor expansion of n in k
1538733368.213 * [misc]backup-simplify:  Simplify n into n
1538733368.213 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538733368.213 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538733368.213 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.213 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733368.213 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538733368.213 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.214 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733368.214 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538733368.214 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538733368.214 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733368.214 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.214 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.214 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.214 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.214 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.214 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.214 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.214 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.214 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.214 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.214 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733368.214 * [misc]taylor:  Taking taylor expansion of PI in k
1538733368.214 * [misc]backup-simplify:  Simplify PI into PI
1538733368.214 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.215 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.215 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733368.215 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733368.216 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.216 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733368.216 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733368.216 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733368.216 * [misc]backup-simplify:  Simplify -1 into -1
1538733368.216 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.216 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.216 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.216 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733368.216 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.217 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733368.217 * [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)))
1538733368.218 * [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))))
1538733368.218 * [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
1538733368.218 * [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
1538733368.218 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.218 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.218 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.218 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.218 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.218 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.218 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.218 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.218 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in k
1538733368.218 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733368.218 * [misc]backup-simplify:  Simplify -2 into -2
1538733368.218 * [misc]taylor:  Taking taylor expansion of n in k
1538733368.218 * [misc]backup-simplify:  Simplify n into n
1538733368.218 * [misc]backup-simplify:  Simplify (/ -2 n) into (/ -2 n)
1538733368.219 * [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
1538733368.219 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.219 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733368.219 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
1538733368.219 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.219 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
1538733368.219 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
1538733368.219 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
1538733368.219 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1538733368.219 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1538733368.219 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.219 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.219 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733368.220 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.220 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.220 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.220 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733368.220 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733368.220 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.220 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1538733368.220 * [misc]taylor:  Taking taylor expansion of PI in k
1538733368.220 * [misc]backup-simplify:  Simplify PI into PI
1538733368.220 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.220 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733368.221 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1538733368.221 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1538733368.222 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.222 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733368.222 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733368.222 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733368.222 * [misc]backup-simplify:  Simplify -1 into -1
1538733368.222 * [misc]taylor:  Taking taylor expansion of k in k
1538733368.222 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.222 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.222 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733368.222 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733368.223 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733368.223 * [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)))
1538733368.223 * [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))))
1538733368.223 * [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
1538733368.223 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.224 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.224 * [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
1538733368.224 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.224 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.224 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.224 * [misc]backup-simplify:  Simplify k into k
1538733368.224 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.224 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.224 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.224 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733368.224 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733368.224 * [misc]backup-simplify:  Simplify -2 into -2
1538733368.224 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.224 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.224 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.224 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733368.225 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733368.225 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.225 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.225 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733368.225 * [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)))
1538733368.226 * [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))))
1538733368.226 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.226 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538733368.226 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538733368.226 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.226 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.226 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.226 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.226 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.226 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.226 * [misc]backup-simplify:  Simplify k into k
1538733368.226 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.226 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.226 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.226 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.226 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.226 * [misc]backup-simplify:  Simplify PI into PI
1538733368.227 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.227 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.227 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.227 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538733368.228 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.228 * [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)))
1538733368.229 * [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))))
1538733368.229 * [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))))
1538733368.230 * [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
1538733368.230 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538733368.231 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733368.232 * [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)))))
1538733368.232 * [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
1538733368.232 * [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
1538733368.232 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.232 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.232 * [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
1538733368.232 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.232 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733368.233 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733368.233 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.233 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.233 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.233 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.233 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.233 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.233 * [misc]backup-simplify:  Simplify k into k
1538733368.233 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.233 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.233 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.233 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733368.233 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733368.233 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733368.233 * [misc]backup-simplify:  Simplify -2 into -2
1538733368.233 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.233 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.233 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.233 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733368.233 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733368.234 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.234 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.234 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733368.234 * [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)))
1538733368.235 * [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))))
1538733368.235 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.235 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538733368.235 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538733368.235 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.235 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.235 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.235 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.235 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.235 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.235 * [misc]backup-simplify:  Simplify k into k
1538733368.235 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.235 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.235 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.235 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.235 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.235 * [misc]backup-simplify:  Simplify PI into PI
1538733368.236 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.236 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.236 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.236 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538733368.237 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.237 * [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)))
1538733368.238 * [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))))
1538733368.238 * [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)))))
1538733368.239 * [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)))))
1538733368.242 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1538733368.242 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733368.243 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733368.243 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.243 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
1538733368.245 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733368.245 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
1538733368.248 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
1538733368.248 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733368.248 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1538733368.249 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733368.249 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733368.249 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
1538733368.251 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733368.251 * [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
1538733368.252 * [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
1538733368.252 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.253 * [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
1538733368.253 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733368.254 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733368.256 * [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)))))
1538733368.256 * [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
1538733368.256 * [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
1538733368.256 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733368.256 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733368.256 * [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
1538733368.256 * [misc]taylor:  Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.257 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.257 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.257 * [misc]backup-simplify:  Simplify k into k
1538733368.257 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.257 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.257 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.257 * [misc]taylor:  Taking taylor expansion of (log (/ -2 n)) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of (/ -2 n) in n
1538733368.257 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733368.257 * [misc]backup-simplify:  Simplify -2 into -2
1538733368.257 * [misc]taylor:  Taking taylor expansion of n in n
1538733368.257 * [misc]backup-simplify:  Simplify 0 into 0
1538733368.257 * [misc]backup-simplify:  Simplify 1 into 1
1538733368.257 * [misc]backup-simplify:  Simplify (/ -2 1) into -2
1538733368.258 * [misc]backup-simplify:  Simplify (log -2) into (log -2)
1538733368.258 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.258 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.258 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
1538733368.259 * [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)))
1538733368.259 * [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))))
1538733368.259 * [misc]taylor:  Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
1538733368.259 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
1538733368.259 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
1538733368.259 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1538733368.259 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1538733368.259 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.259 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.259 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733368.259 * [misc]taylor:  Taking taylor expansion of k in n
1538733368.259 * [misc]backup-simplify:  Simplify k into k
1538733368.259 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733368.259 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733368.259 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733368.259 * [misc]taylor:  Taking taylor expansion of (log PI) in n
1538733368.259 * [misc]taylor:  Taking taylor expansion of PI in n
1538733368.260 * [misc]backup-simplify:  Simplify PI into PI
1538733368.260 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1538733368.260 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1538733368.260 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1538733368.261 * [misc]backup-simplify:  Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
1538733368.261 * [misc]backup-simplify:  Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
1538733368.262 * [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)))
1538733368.262 * [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))))
1538733368.263 * [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)))))
1538733368.264 * [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)))))
1538733368.266 * [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))))))))
1538733368.267 * * * [misc]progress:  simplifying candidates
1538733368.267 * * * * [misc]progress:  [ 1 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (log1p (expm1 (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733368.267 * * * * [misc]progress:  [ 2 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (expm1 (log1p (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733368.267 * * * * [misc]progress:  [ 3 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538733368.267 * [enter]simplify:  Simplifying (* (log (* n 2)) (- 1/2 (/ k 2)))
1538733368.268 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733368.273 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733368.281 * * [misc]simplify:  iters left: 4 (32 enodes)
1538733368.303 * * [misc]simplify:  iters left: 3 (72 enodes)
1538733368.362 * * [misc]simplify:  iters left: 2 (195 enodes)
1538733368.477 * * [misc]simplify:  iters left: 1 (418 enodes)
1538733368.735 * [exit]simplify:  Simplified to (* (log (* n 2)) (- 1/2 (/ k 2)))
1538733368.736 * [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))))))))
1538733368.736 * * * * [misc]progress:  [ 4 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538733368.736 * * * * [misc]progress:  [ 5 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))))>
1538733368.736 * [enter]simplify:  Simplifying (* n 2)
1538733368.737 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733368.738 * * [misc]simplify:  iters left: 1 (4 enodes)
1538733368.739 * [exit]simplify:  Simplified to (* n 2)
1538733368.739 * [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))))))))
1538733368.739 * * * * [misc]progress:  [ 6 / 123 ] 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)))))))>
1538733368.740 * [enter]simplify:  Simplifying (pow (* n 2) (/ k 2))
1538733368.740 * * [misc]simplify:  iters left: 3 (6 enodes)
1538733368.742 * * [misc]simplify:  iters left: 2 (7 enodes)
1538733368.745 * [exit]simplify:  Simplified to (pow (* n 2) (/ k 2))
1538733368.745 * [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)))))))
1538733368.745 * * * * [misc]progress:  [ 7 / 123 ] 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))))))))>
1538733368.745 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538733368.746 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733368.748 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733368.751 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733368.755 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538733368.755 * [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))))))))
1538733368.755 * * * * [misc]progress:  [ 8 / 123 ] 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))))))))>
1538733368.756 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538733368.756 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733368.759 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733368.762 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733368.765 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538733368.766 * [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))))))))
1538733368.766 * * * * [misc]progress:  [ 9 / 123 ] 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)))))))>
1538733368.766 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538733368.766 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733368.768 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733368.771 * * [misc]simplify:  iters left: 2 (10 enodes)
1538733368.775 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538733368.775 * [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)))))))
1538733368.775 * * * * [misc]progress:  [ 10 / 123 ] 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))))))))>
1538733368.775 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538733368.776 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733368.778 * * [misc]simplify:  iters left: 4 (10 enodes)
1538733368.782 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538733368.782 * [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))))))))
1538733368.782 * * * * [misc]progress:  [ 11 / 123 ] 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))))))))>
1538733368.782 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538733368.783 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733368.786 * * [misc]simplify:  iters left: 4 (10 enodes)
1538733368.790 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538733368.790 * [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))))))))
1538733368.790 * * * * [misc]progress:  [ 12 / 123 ] 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))))))))>
1538733368.790 * [enter]simplify:  Simplifying (pow n (- 1/2 (/ k 2)))
1538733368.790 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733368.793 * * [misc]simplify:  iters left: 4 (9 enodes)
1538733368.796 * * [misc]simplify:  iters left: 3 (12 enodes)
1538733368.798 * [exit]simplify:  Simplified to (pow n (- 1/2 (/ k 2)))
1538733368.798 * [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))))))))
1538733368.798 * * * * [misc]progress:  [ 13 / 123 ] 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)))))>
1538733368.798 * * * * [misc]progress:  [ 14 / 123 ] 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)))))))))>
1538733368.798 * * * * [misc]progress:  [ 15 / 123 ] 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)))))))))>
1538733368.798 * * * * [misc]progress:  [ 16 / 123 ] 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)))))))))>
1538733368.798 * * * * [misc]progress:  [ 17 / 123 ] 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)))))))))>
1538733368.798 * * * * [misc]progress:  [ 18 / 123 ] 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)))))))))>
1538733368.798 * * * * [misc]progress:  [ 19 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* 1 (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538733368.798 * * * * [misc]progress:  [ 20 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (log1p (expm1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733368.798 * * * * [misc]progress:  [ 21 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (expm1 (log1p (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733368.798 * * * * [misc]progress:  [ 22 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733368.799 * * * * [misc]progress:  [ 23 / 123 ] 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)))))))>
1538733368.799 * [enter]simplify:  Simplifying (pow PI (/ k 2))
1538733368.799 * * [misc]simplify:  iters left: 3 (5 enodes)
1538733368.800 * [exit]simplify:  Simplified to (pow PI (/ k 2))
1538733368.800 * [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)))))))
1538733368.800 * * * * [misc]progress:  [ 24 / 123 ] 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)))))))>
1538733368.800 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1538733368.800 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733368.802 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733368.803 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733368.805 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1538733368.805 * [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)))))))
1538733368.805 * * * * [misc]progress:  [ 25 / 123 ] 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)))))))>
1538733368.805 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1538733368.806 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733368.807 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733368.808 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733368.810 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1538733368.810 * [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)))))))
1538733368.811 * * * * [misc]progress:  [ 26 / 123 ] 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)))))))>
1538733368.811 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1538733368.811 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733368.812 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733368.813 * * [misc]simplify:  iters left: 2 (10 enodes)
1538733368.815 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1538733368.815 * [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)))))))
1538733368.815 * * * * [misc]progress:  [ 27 / 123 ] 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)))))))>
1538733368.815 * [enter]simplify:  Simplifying (pow PI (- (/ k 2)))
1538733368.816 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733368.817 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733368.818 * [exit]simplify:  Simplified to (pow PI (/ (- k) 2))
1538733368.818 * [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)))))))
1538733368.818 * * * * [misc]progress:  [ 28 / 123 ] 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)))))))>
1538733368.818 * [enter]simplify:  Simplifying (pow PI (- (/ k 2)))
1538733368.819 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733368.820 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733368.821 * [exit]simplify:  Simplified to (pow PI (/ (- k) 2))
1538733368.821 * [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)))))))
1538733368.821 * * * * [misc]progress:  [ 29 / 123 ] 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)))))))>
1538733368.821 * * * * [misc]progress:  [ 30 / 123 ] 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)))))))>
1538733368.822 * * * * [misc]progress:  [ 31 / 123 ] 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)))))))>
1538733368.822 * * * * [misc]progress:  [ 32 / 123 ] 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)))))))>
1538733368.822 * * * * [misc]progress:  [ 33 / 123 ] 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)))))))>
1538733368.822 * * * * [misc]progress:  [ 34 / 123 ] 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)))))))>
1538733368.822 * * * * [misc]progress:  [ 35 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733368.822 * * * * [misc]progress:  [ 36 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (log1p (expm1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733368.822 * * * * [misc]progress:  [ 37 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (expm1 (log1p (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733368.822 * * * * [misc]progress:  [ 38 / 123 ] 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))))>
1538733368.822 * * * * [misc]progress:  [ 39 / 123 ] 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))))))))>
1538733368.822 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))
1538733368.823 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733368.826 * * [misc]simplify:  iters left: 5 (21 enodes)
1538733368.833 * * [misc]simplify:  iters left: 4 (44 enodes)
1538733368.851 * * [misc]simplify:  iters left: 3 (133 enodes)
1538733368.911 * * [misc]simplify:  iters left: 2 (379 enodes)
1538733369.143 * [exit]simplify:  Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))
1538733369.143 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))))
1538733369.143 * * * * [misc]progress:  [ 40 / 123 ] 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))))))))>
1538733369.144 * [enter]simplify:  Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))
1538733369.145 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733369.152 * * [misc]simplify:  iters left: 5 (21 enodes)
1538733369.163 * * [misc]simplify:  iters left: 4 (44 enodes)
1538733369.195 * * [misc]simplify:  iters left: 3 (133 enodes)
1538733369.306 * * [misc]simplify:  iters left: 2 (379 enodes)
1538733369.602 * [exit]simplify:  Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))
1538733369.602 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))))
1538733369.602 * * * * [misc]progress:  [ 41 / 123 ] 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)))))))))>
1538733369.602 * [enter]simplify:  Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))
1538733369.603 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733369.606 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733369.611 * * [misc]simplify:  iters left: 4 (32 enodes)
1538733369.627 * * [misc]simplify:  iters left: 3 (69 enodes)
1538733369.678 * * [misc]simplify:  iters left: 2 (208 enodes)
1538733369.851 * [exit]simplify:  Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1538733369.851 * [misc]simplify:  Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))))
1538733369.851 * * * * [misc]progress:  [ 42 / 123 ] 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)))))))))>
1538733369.851 * * * * [misc]progress:  [ 43 / 123 ] 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)))))))))>
1538733369.851 * * * * [misc]progress:  [ 44 / 123 ] 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)))))))))>
1538733369.851 * [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)))))
1538733369.853 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733369.860 * * [misc]simplify:  iters left: 5 (26 enodes)
1538733369.873 * * [misc]simplify:  iters left: 4 (58 enodes)
1538733369.904 * * [misc]simplify:  iters left: 3 (117 enodes)
1538733369.942 * * [misc]simplify:  iters left: 2 (193 enodes)
1538733370.028 * * [misc]simplify:  iters left: 1 (263 enodes)
1538733370.184 * [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)))))
1538733370.184 * [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)))))))))
1538733370.184 * * * * [misc]progress:  [ 45 / 123 ] 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)))))))))>
1538733370.184 * * * * [misc]progress:  [ 46 / 123 ] 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)))))))))>
1538733370.184 * * * * [misc]progress:  [ 47 / 123 ] 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)))))))))>
1538733370.184 * * * * [misc]progress:  [ 48 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (- (sqrt k)) (- (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538733370.184 * * * * [misc]progress:  [ 49 / 123 ] 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))))))))>
1538733370.184 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))
1538733370.186 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.189 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733370.194 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733370.199 * * [misc]simplify:  iters left: 3 (17 enodes)
1538733370.206 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))
1538733370.206 * [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))))))))
1538733370.206 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538733370.207 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.211 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733370.215 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538733370.215 * [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)))))))
1538733370.216 * * * * [misc]progress:  [ 50 / 123 ] 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))))))))>
1538733370.216 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))
1538733370.217 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.221 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733370.226 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733370.231 * * [misc]simplify:  iters left: 3 (17 enodes)
1538733370.239 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))
1538733370.239 * [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))))))))
1538733370.240 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538733370.240 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.244 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733370.249 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538733370.249 * [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)))))))
1538733370.250 * * * * [misc]progress:  [ 51 / 123 ] 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))))))))>
1538733370.250 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
1538733370.251 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733370.255 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733370.261 * * [misc]simplify:  iters left: 4 (20 enodes)
1538733370.267 * * [misc]simplify:  iters left: 3 (21 enodes)
1538733370.273 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
1538733370.273 * [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))))))))
1538733370.273 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538733370.273 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733370.275 * * [misc]simplify:  iters left: 5 (11 enodes)
1538733370.277 * * [misc]simplify:  iters left: 4 (14 enodes)
1538733370.280 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538733370.280 * [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))))))))
1538733370.280 * * * * [misc]progress:  [ 52 / 123 ] 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)))))))))>
1538733370.280 * [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))))))
1538733370.281 * * [misc]simplify:  iters left: 6 (14 enodes)
1538733370.284 * * [misc]simplify:  iters left: 5 (23 enodes)
1538733370.288 * * [misc]simplify:  iters left: 4 (35 enodes)
1538733370.294 * * [misc]simplify:  iters left: 3 (38 enodes)
1538733370.299 * * [misc]simplify:  iters left: 2 (41 enodes)
1538733370.312 * [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))))))
1538733370.312 * [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)))))))))
1538733370.312 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.313 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733370.317 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733370.322 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733370.329 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.329 * [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)))))))))
1538733370.329 * * * * [misc]progress:  [ 53 / 123 ] 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)))))))))>
1538733370.329 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.331 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733370.338 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733370.345 * * [misc]simplify:  iters left: 4 (23 enodes)
1538733370.352 * * [misc]simplify:  iters left: 3 (24 enodes)
1538733370.361 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.361 * [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)))))))))
1538733370.362 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.363 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733370.367 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733370.372 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733370.379 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.379 * [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)))))))))
1538733370.379 * * * * [misc]progress:  [ 54 / 123 ] 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))))))))>
1538733370.379 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1538733370.380 * * [misc]simplify:  iters left: 6 (6 enodes)
1538733370.382 * * [misc]simplify:  iters left: 5 (10 enodes)
1538733370.387 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733370.391 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733370.396 * * [misc]simplify:  iters left: 2 (23 enodes)
1538733370.402 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538733370.402 * [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))))))))
1538733370.403 * [enter]simplify:  Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.404 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733370.408 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733370.412 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733370.418 * [exit]simplify:  Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.419 * [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))))))))
1538733370.419 * * * * [misc]progress:  [ 55 / 123 ] 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))))))))>
1538733370.419 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))
1538733370.420 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733370.423 * * [misc]simplify:  iters left: 4 (11 enodes)
1538733370.427 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2)))
1538733370.427 * [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))))))))
1538733370.427 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538733370.428 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.432 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733370.437 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538733370.437 * [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)))))))
1538733370.437 * * * * [misc]progress:  [ 56 / 123 ] 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))))))))>
1538733370.437 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))
1538733370.438 * * [misc]simplify:  iters left: 5 (9 enodes)
1538733370.441 * * [misc]simplify:  iters left: 4 (11 enodes)
1538733370.445 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2)))
1538733370.445 * [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))))))))
1538733370.445 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))
1538733370.446 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.450 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733370.455 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))
1538733370.455 * [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)))))))
1538733370.455 * * * * [misc]progress:  [ 57 / 123 ] 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))))))))>
1538733370.455 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
1538733370.456 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.460 * * [misc]simplify:  iters left: 5 (12 enodes)
1538733370.464 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733370.469 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
1538733370.469 * [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))))))))
1538733370.469 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538733370.472 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733370.475 * * [misc]simplify:  iters left: 5 (11 enodes)
1538733370.479 * * [misc]simplify:  iters left: 4 (14 enodes)
1538733370.483 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))
1538733370.483 * [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))))))))
1538733370.484 * * * * [misc]progress:  [ 58 / 123 ] 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)))))))))>
1538733370.484 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538733370.485 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733370.491 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733370.497 * * [misc]simplify:  iters left: 4 (21 enodes)
1538733370.505 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538733370.505 * [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)))))))))
1538733370.505 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.507 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733370.511 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733370.516 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733370.522 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.523 * [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)))))))))
1538733370.523 * * * * [misc]progress:  [ 59 / 123 ] 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)))))))))>
1538733370.523 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.524 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733370.528 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733370.533 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733370.540 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.540 * [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)))))))))
1538733370.540 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.541 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733370.546 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733370.551 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733370.554 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.554 * [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)))))))))
1538733370.554 * * * * [misc]progress:  [ 60 / 123 ] 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))))))))>
1538733370.554 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) 1)
1538733370.555 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733370.555 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733370.557 * * [misc]simplify:  iters left: 2 (9 enodes)
1538733370.558 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538733370.558 * [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))))))))
1538733370.558 * [enter]simplify:  Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.559 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733370.561 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733370.563 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733370.566 * [exit]simplify:  Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.566 * [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))))))))
1538733370.566 * * * * [misc]progress:  [ 61 / 123 ] 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))))))))>
1538733370.566 * [enter]simplify:  Simplifying (/ 1 (pow (* n 2) 1/2))
1538733370.566 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733370.568 * * [misc]simplify:  iters left: 4 (11 enodes)
1538733370.569 * [exit]simplify:  Simplified to (/ 1 (sqrt (* 2 n)))
1538733370.569 * [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))))))))
1538733370.569 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2))))
1538733370.570 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733370.572 * * [misc]simplify:  iters left: 5 (12 enodes)
1538733370.574 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))
1538733370.574 * [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)))))))
1538733370.574 * * * * [misc]progress:  [ 62 / 123 ] 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))))))))>
1538733370.574 * [enter]simplify:  Simplifying (/ 1 (pow (* n 2) 1/2))
1538733370.574 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733370.576 * * [misc]simplify:  iters left: 4 (11 enodes)
1538733370.577 * [exit]simplify:  Simplified to (/ 1 (sqrt (* 2 n)))
1538733370.577 * [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))))))))
1538733370.577 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2))))
1538733370.580 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733370.582 * * [misc]simplify:  iters left: 5 (12 enodes)
1538733370.584 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))
1538733370.584 * [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)))))))
1538733370.584 * * * * [misc]progress:  [ 63 / 123 ] 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))))))))>
1538733370.584 * [enter]simplify:  Simplifying (/ 1 (pow n (- 1/2 (/ k 2))))
1538733370.584 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733370.586 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733370.588 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733370.591 * [exit]simplify:  Simplified to (/ 1 (pow n (- 1/2 (/ k 2))))
1538733370.591 * [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))))))))
1538733370.591 * [enter]simplify:  Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))
1538733370.591 * * [misc]simplify:  iters left: 6 (8 enodes)
1538733370.595 * * [misc]simplify:  iters left: 5 (10 enodes)
1538733370.598 * * [misc]simplify:  iters left: 4 (13 enodes)
1538733370.603 * [exit]simplify:  Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))
1538733370.603 * [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))))))))
1538733370.603 * * * * [misc]progress:  [ 64 / 123 ] 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)))))))))>
1538733370.603 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
1538733370.604 * * [misc]simplify:  iters left: 6 (12 enodes)
1538733370.609 * * [misc]simplify:  iters left: 5 (19 enodes)
1538733370.615 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733370.623 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))
1538733370.623 * [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)))))))))
1538733370.624 * [enter]simplify:  Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.625 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733370.629 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733370.634 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733370.640 * [exit]simplify:  Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.640 * [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)))))))))
1538733370.640 * * * * [misc]progress:  [ 65 / 123 ] 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)))))))))>
1538733370.641 * [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.641 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733370.646 * * [misc]simplify:  iters left: 5 (16 enodes)
1538733370.651 * * [misc]simplify:  iters left: 4 (19 enodes)
1538733370.657 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))
1538733370.657 * [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)))))))))
1538733370.657 * [enter]simplify:  Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.658 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733370.660 * * [misc]simplify:  iters left: 5 (14 enodes)
1538733370.662 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733370.666 * [exit]simplify:  Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
1538733370.666 * [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)))))))))
1538733370.666 * * * * [misc]progress:  [ 66 / 123 ] 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))))))))>
1538733370.666 * [enter]simplify:  Simplifying (/ 1 1)
1538733370.666 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733370.666 * * [misc]simplify:  iters left: 1 (4 enodes)
1538733370.667 * [exit]simplify:  Simplified to 1
1538733370.667 * [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))))))))
1538733370.667 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.667 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.669 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733370.671 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733370.674 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.674 * [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))))))))
1538733370.674 * * * * [misc]progress:  [ 67 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538733370.674 * * * * [misc]progress:  [ 68 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538733370.674 * * * * [misc]progress:  [ 69 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))))>
1538733370.674 * * * * [misc]progress:  [ 70 / 123 ] 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)))))))>
1538733370.674 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538733370.675 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733370.676 * * [misc]simplify:  iters left: 4 (10 enodes)
1538733370.678 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538733370.678 * [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)))))))
1538733370.678 * * * * [misc]progress:  [ 71 / 123 ] 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)))))))>
1538733370.678 * [enter]simplify:  Simplifying (pow (* n 2) (- (/ k 2)))
1538733370.680 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733370.681 * * [misc]simplify:  iters left: 4 (10 enodes)
1538733370.683 * [exit]simplify:  Simplified to (pow (* n 2) (- (/ k 2)))
1538733370.683 * [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)))))))
1538733370.683 * * * * [misc]progress:  [ 72 / 123 ] 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)))))))>
1538733370.683 * [enter]simplify:  Simplifying (pow 2 (- 1/2 (/ k 2)))
1538733370.683 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733370.684 * * [misc]simplify:  iters left: 4 (8 enodes)
1538733370.686 * * [misc]simplify:  iters left: 3 (11 enodes)
1538733370.688 * [exit]simplify:  Simplified to (pow 2 (- 1/2 (/ k 2)))
1538733370.688 * [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)))))))
1538733370.688 * * * * [misc]progress:  [ 73 / 123 ] 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))))))))>
1538733370.688 * [enter]simplify:  Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.689 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733370.692 * * [misc]simplify:  iters left: 5 (12 enodes)
1538733370.696 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733370.701 * [exit]simplify:  Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.701 * [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))))))))
1538733370.702 * * * * [misc]progress:  [ 74 / 123 ] 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))))))))>
1538733370.702 * [enter]simplify:  Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.703 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733370.707 * * [misc]simplify:  iters left: 5 (12 enodes)
1538733370.711 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733370.716 * [exit]simplify:  Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.716 * [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))))))))
1538733370.716 * * * * [misc]progress:  [ 75 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733370.717 * [enter]simplify:  Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1538733370.717 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733370.721 * * [misc]simplify:  iters left: 4 (11 enodes)
1538733370.725 * * [misc]simplify:  iters left: 3 (14 enodes)
1538733370.730 * [exit]simplify:  Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1538733370.730 * [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)))))))
1538733370.730 * * * * [misc]progress:  [ 76 / 123 ] 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)))))))>
1538733370.730 * [enter]simplify:  Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538733370.731 * * [misc]simplify:  iters left: 4 (4 enodes)
1538733370.733 * [exit]simplify:  Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1538733370.733 * [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)))))))
1538733370.733 * * * * [misc]progress:  [ 77 / 123 ] 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)))))))>
1538733370.733 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538733370.733 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733370.734 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538733370.734 * [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)))))))
1538733370.734 * * * * [misc]progress:  [ 78 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))))>
1538733370.734 * * * * [misc]progress:  [ 79 / 123 ] 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))))))>
1538733370.735 * [enter]simplify:  Simplifying (pow (* n 2) (/ k 2))
1538733370.735 * * [misc]simplify:  iters left: 3 (6 enodes)
1538733370.737 * * [misc]simplify:  iters left: 2 (7 enodes)
1538733370.739 * [exit]simplify:  Simplified to (pow (* n 2) (/ k 2))
1538733370.740 * [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))))))
1538733370.740 * * * * [misc]progress:  [ 80 / 123 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733370.740 * * * * [misc]progress:  [ 81 / 123 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733370.740 * * * * [misc]progress:  [ 82 / 123 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) -1))>
1538733370.740 * * * * [misc]progress:  [ 83 / 123 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (- 1)))>
1538733370.740 * [enter]simplify:  Simplifying (- 1)
1538733370.740 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733370.741 * * [misc]simplify:  iters left: 1 (5 enodes)
1538733370.741 * [exit]simplify:  Simplified to -1
1538733370.742 * [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))
1538733370.742 * * * * [misc]progress:  [ 84 / 123 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (- 1)))>
1538733370.742 * [enter]simplify:  Simplifying (- 1)
1538733370.742 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733370.743 * * [misc]simplify:  iters left: 1 (5 enodes)
1538733370.743 * [exit]simplify:  Simplified to -1
1538733370.743 * [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))
1538733370.743 * * * * [misc]progress:  [ 85 / 123 ] 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))>
1538733370.743 * * * * [misc]progress:  [ 86 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538733370.743 * * * * [misc]progress:  [ 87 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538733370.743 * * * * [misc]progress:  [ 88 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733370.743 * * * * [misc]progress:  [ 89 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733370.743 * * * * [misc]progress:  [ 90 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538733370.743 * * * * [misc]progress:  [ 91 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))))>
1538733370.743 * * * * [misc]progress:  [ 92 / 123 ] 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)))))))))>
1538733370.743 * * * * [misc]progress:  [ 93 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733370.744 * * * * [misc]progress:  [ 94 / 123 ] 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))))))))>
1538733370.744 * * * * [misc]progress:  [ 95 / 123 ] 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))))))))>
1538733370.744 * * * * [misc]progress:  [ 96 / 123 ] 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)))))))))>
1538733370.744 * * * * [misc]progress:  [ 97 / 123 ] 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)))))))))>
1538733370.744 * * * * [misc]progress:  [ 98 / 123 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))))>
1538733370.744 * * * * [misc]progress:  [ 99 / 123 ] 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)))))))))>
1538733370.744 * * * * [misc]progress:  [ 100 / 123 ] 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)))))))))>
1538733370.744 * * * * [misc]progress:  [ 101 / 123 ] 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)))))))))>
1538733370.744 * * * * [misc]progress:  [ 102 / 123 ] 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)))))))))>
1538733370.744 * * * * [misc]progress:  [ 103 / 123 ] 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)))))))))>
1538733370.744 * * * * [misc]progress:  [ 104 / 123 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538733370.744 * * * * [misc]progress:  [ 105 / 123 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538733370.744 * * * * [misc]progress:  [ 106 / 123 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))))>
1538733370.744 * * * * [misc]progress:  [ 107 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1)))>
1538733370.744 * * * * [misc]progress:  [ 108 / 123 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538733370.744 * [enter]simplify:  Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.745 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733370.747 * * [misc]simplify:  iters left: 5 (13 enodes)
1538733370.749 * * [misc]simplify:  iters left: 4 (16 enodes)
1538733370.751 * [exit]simplify:  Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.751 * [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))))))
1538733370.751 * * * * [misc]progress:  [ 109 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* 1 (sqrt k))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))>
1538733370.752 * [enter]simplify:  Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
1538733370.752 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733370.754 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733370.757 * * [misc]simplify:  iters left: 4 (18 enodes)
1538733370.760 * [exit]simplify:  Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))
1538733370.760 * [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))))))
1538733370.760 * * * * [misc]progress:  [ 110 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))>
1538733370.760 * [enter]simplify:  Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1538733370.761 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733370.762 * * [misc]simplify:  iters left: 4 (11 enodes)
1538733370.764 * * [misc]simplify:  iters left: 3 (14 enodes)
1538733370.766 * [exit]simplify:  Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1538733370.766 * [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)))))
1538733370.766 * * * * [misc]progress:  [ 111 / 123 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2)))))>
1538733370.767 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1538733370.767 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733370.768 * * [misc]simplify:  iters left: 4 (9 enodes)
1538733370.770 * * [misc]simplify:  iters left: 3 (12 enodes)
1538733370.772 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1538733370.772 * [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)))))
1538733370.772 * * * * [misc]progress:  [ 112 / 123 ] 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)))))))))>
1538733370.773 * [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)))))
1538733370.779 * * [misc]simplify:  iters left: 6 (35 enodes)
1538733370.802 * * [misc]simplify:  iters left: 5 (102 enodes)
1538733370.842 * * [misc]simplify:  iters left: 4 (321 enodes)
1538733371.260 * [exit]simplify:  Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))
1538733371.260 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))))
1538733371.260 * * * * [misc]progress:  [ 113 / 123 ] 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))))))))>
1538733371.260 * [enter]simplify:  Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
1538733371.261 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733371.266 * * [misc]simplify:  iters left: 5 (27 enodes)
1538733371.274 * * [misc]simplify:  iters left: 4 (53 enodes)
1538733371.291 * * [misc]simplify:  iters left: 3 (124 enodes)
1538733371.377 * * [misc]simplify:  iters left: 2 (394 enodes)
1538733372.078 * [exit]simplify:  Simplified to (pow (* n 2) (fma -1/2 k 1/2))
1538733372.078 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))))
1538733372.078 * * * * [misc]progress:  [ 114 / 123 ] 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)))))))))>
1538733372.078 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
1538733372.079 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733372.083 * * [misc]simplify:  iters left: 5 (24 enodes)
1538733372.091 * * [misc]simplify:  iters left: 4 (54 enodes)
1538733372.112 * * [misc]simplify:  iters left: 3 (151 enodes)
1538733372.250 * [exit]simplify:  Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))
1538733372.251 * [misc]simplify:  Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))))
1538733372.251 * * * * [misc]progress:  [ 115 / 123 ] 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)))))))>
1538733372.251 * [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))))
1538733372.253 * * [misc]simplify:  iters left: 6 (18 enodes)
1538733372.263 * * [misc]simplify:  iters left: 5 (39 enodes)
1538733372.289 * * [misc]simplify:  iters left: 4 (110 enodes)
1538733372.371 * * [misc]simplify:  iters left: 3 (321 enodes)
1538733372.666 * [exit]simplify:  Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))
1538733372.666 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538733372.666 * * * * [misc]progress:  [ 116 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733372.666 * [enter]simplify:  Simplifying (pow PI (- 1/2 (* 1/2 k)))
1538733372.667 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733372.668 * * [misc]simplify:  iters left: 4 (9 enodes)
1538733372.671 * * [misc]simplify:  iters left: 3 (17 enodes)
1538733372.674 * * [misc]simplify:  iters left: 2 (24 enodes)
1538733372.677 * * [misc]simplify:  iters left: 1 (28 enodes)
1538733372.686 * [exit]simplify:  Simplified to (pow PI (fma k -1/2 1/2))
1538733372.686 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538733372.686 * * * * [misc]progress:  [ 117 / 123 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>
1538733372.687 * [enter]simplify:  Simplifying (pow PI (- 1/2 (* 1/2 k)))
1538733372.687 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733372.690 * * [misc]simplify:  iters left: 4 (9 enodes)
1538733372.695 * * [misc]simplify:  iters left: 3 (17 enodes)
1538733372.702 * * [misc]simplify:  iters left: 2 (24 enodes)
1538733372.708 * * [misc]simplify:  iters left: 1 (28 enodes)
1538733372.723 * [exit]simplify:  Simplified to (pow PI (fma k -1/2 1/2))
1538733372.723 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))
1538733372.723 * * * * [misc]progress:  [ 118 / 123 ] 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)))))))))))))))>
1538733372.723 * [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))))))))))))
1538733372.723 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0)))
1538733372.723 * * * * [misc]progress:  [ 119 / 123 ] 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))))))))))))))>
1538733372.724 * [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)))))))))))
1538733372.724 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0)))
1538733372.724 * * * * [misc]progress:  [ 120 / 123 ] 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))))))))))))>
1538733372.724 * [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)))))))))
1538733372.724 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0)))
1538733372.724 * * * * [misc]progress:  [ 121 / 123 ] 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))))))))))))))))>
1538733372.724 * [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)))))))))))))))
1538733372.724 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733372.725 * * * * [misc]progress:  [ 122 / 123 ] 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)))))))))>
1538733372.725 * [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))))))))
1538733372.725 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733372.725 * * * * [misc]progress:  [ 123 / 123 ] 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)))))))))>
1538733372.725 * [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))))))))
1538733372.725 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733372.725 * * * [misc]progress:  adding candidates to table
1538733376.102 * * [misc]progress:  iteration 4 / 4
1538733376.102 * * * [misc]progress:  picking best candidate
1538733376.159 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733376.159 * * * [misc]progress:  localizing error
1538733376.184 * * * [misc]progress:  generating rewritten candidates
1538733376.184 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
1538733376.219 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
1538733376.243 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1)
1538733376.266 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1538733376.369 * * * [misc]progress:  generating series expansions
1538733376.369 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
1538733376.370 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1538733376.370 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1538733376.370 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.370 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.370 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.370 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.370 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.370 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.370 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.370 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.370 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.370 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733376.370 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.370 * [misc]backup-simplify:  Simplify n into n
1538733376.370 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.370 * [misc]backup-simplify:  Simplify PI into PI
1538733376.370 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733376.370 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733376.370 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733376.370 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.371 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.371 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733376.371 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733376.371 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733376.371 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.371 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.371 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.371 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.371 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.371 * [misc]backup-simplify:  Simplify k into k
1538733376.371 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.371 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.371 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.371 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.371 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.371 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.371 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.371 * [misc]backup-simplify:  Simplify PI into PI
1538733376.372 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.372 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733376.373 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.373 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733376.374 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.374 * [misc]backup-simplify:  Simplify (- k) into (- k)
1538733376.374 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1538733376.374 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1538733376.375 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.376 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1538733376.376 * [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))))))
1538733376.376 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1538733376.376 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1538733376.376 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1538733376.376 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1538733376.377 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.377 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.377 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1538733376.377 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.377 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.377 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.377 * [misc]backup-simplify:  Simplify k into k
1538733376.377 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733376.377 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.377 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.377 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.377 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.377 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.377 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.377 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.377 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.377 * [misc]backup-simplify:  Simplify PI into PI
1538733376.377 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.377 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733376.378 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.379 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733376.379 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.380 * [misc]backup-simplify:  Simplify (- k) into (- k)
1538733376.380 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1538733376.380 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1538733376.380 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.381 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1538733376.382 * [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))))))
1538733376.382 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1538733376.382 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1538733376.382 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.382 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.382 * [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1538733376.382 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538733376.382 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.382 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.382 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.382 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.382 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.382 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1538733376.382 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733376.382 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.382 * [misc]backup-simplify:  Simplify n into n
1538733376.383 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733376.383 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733376.383 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733376.383 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.383 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.383 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.383 * [misc]backup-simplify:  Simplify PI into PI
1538733376.383 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.384 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.384 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.384 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.384 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.385 * [misc]backup-simplify:  Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1538733376.386 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1538733376.387 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538733376.387 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1538733376.388 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733376.390 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733376.394 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733376.394 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.394 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.394 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1538733376.395 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.396 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538733376.398 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733376.398 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.398 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.398 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.399 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1538733376.399 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733376.403 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733376.403 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.403 * [misc]backup-simplify:  Simplify (- 1) into -1
1538733376.403 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538733376.404 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1538733376.404 * [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)))))
1538733376.406 * [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)))))))
1538733376.407 * [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)))))))
1538733376.408 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733376.409 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538733376.412 * [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
1538733376.413 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.413 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.413 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1538733376.413 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.414 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733376.415 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1538733376.415 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.415 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.415 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.415 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.417 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1538733376.417 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733376.421 * [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
1538733376.421 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.421 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.421 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.422 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733376.423 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1538733376.428 * [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)))))
1538733376.430 * [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)))))
1538733376.436 * [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)))))
1538733376.436 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1538733376.436 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1538733376.436 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1538733376.436 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733376.436 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733376.436 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1538733376.436 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.436 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.436 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538733376.436 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.437 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.437 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.437 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.437 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.437 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.437 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.437 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733376.437 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733376.437 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.437 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.437 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733376.437 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.437 * [misc]backup-simplify:  Simplify PI into PI
1538733376.437 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.437 * [misc]backup-simplify:  Simplify n into n
1538733376.437 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733376.437 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733376.437 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733376.437 * [misc]backup-simplify:  Simplify (- 1) into -1
1538733376.437 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538733376.437 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1538733376.438 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733376.438 * [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))))))
1538733376.438 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.438 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.438 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.438 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.438 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.438 * [misc]backup-simplify:  Simplify k into k
1538733376.438 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.438 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.438 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.438 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.438 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.438 * [misc]backup-simplify:  Simplify PI into PI
1538733376.438 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.438 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.438 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.438 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.438 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.439 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.439 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538733376.439 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538733376.439 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1538733376.440 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.440 * [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))))
1538733376.441 * [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)))))
1538733376.441 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.441 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.441 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.441 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.441 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.441 * [misc]backup-simplify:  Simplify k into k
1538733376.441 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.441 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.441 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.441 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.441 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.441 * [misc]backup-simplify:  Simplify PI into PI
1538733376.441 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.441 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.441 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.441 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.441 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.442 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.442 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538733376.442 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538733376.442 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1538733376.443 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.443 * [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))))
1538733376.443 * [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)))))
1538733376.444 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.444 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.444 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.444 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.444 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.444 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.444 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.444 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.444 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1538733376.444 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.444 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.444 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.444 * [misc]backup-simplify:  Simplify PI into PI
1538733376.444 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.445 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.445 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733376.445 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.445 * [misc]backup-simplify:  Simplify n into n
1538733376.445 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733376.445 * [misc]backup-simplify:  Simplify (- 1) into -1
1538733376.445 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538733376.445 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733376.445 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1538733376.446 * [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1538733376.446 * [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1538733376.447 * [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)))))
1538733376.447 * [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)))))
1538733376.448 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733376.448 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733376.450 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733376.450 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733376.450 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.450 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.451 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1538733376.451 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.451 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538733376.453 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733376.453 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.453 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.453 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.453 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.453 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.454 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733376.458 * [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
1538733376.458 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733376.458 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.458 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.458 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1538733376.459 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.459 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1538733376.461 * [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
1538733376.461 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.461 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.461 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.461 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.461 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.462 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.463 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733376.469 * [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
1538733376.469 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733376.469 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.469 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.469 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1538733376.470 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.471 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1538733376.473 * [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
1538733376.473 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.473 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.473 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.474 * [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))))))
1538733376.474 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1538733376.474 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1538733376.474 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.474 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.474 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.474 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.474 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.474 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.474 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.474 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.474 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733376.474 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733376.474 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.475 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733376.475 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.475 * [misc]backup-simplify:  Simplify PI into PI
1538733376.475 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.475 * [misc]backup-simplify:  Simplify n into n
1538733376.475 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733376.475 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733376.475 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733376.475 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.475 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733376.475 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733376.475 * [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))))
1538733376.476 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.476 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.476 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.476 * [misc]backup-simplify:  Simplify k into k
1538733376.476 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.476 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.476 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.476 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.476 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.476 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.476 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.476 * [misc]backup-simplify:  Simplify PI into PI
1538733376.476 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.476 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.476 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.477 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.477 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.477 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733376.477 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538733376.478 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1538733376.478 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.479 * [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))))
1538733376.480 * [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)))))
1538733376.480 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.480 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.480 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.480 * [misc]backup-simplify:  Simplify k into k
1538733376.480 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.480 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.480 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.480 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.480 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.480 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.480 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.480 * [misc]backup-simplify:  Simplify PI into PI
1538733376.481 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.481 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.481 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.481 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.481 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.482 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733376.482 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538733376.482 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1538733376.483 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.483 * [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))))
1538733376.484 * [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)))))
1538733376.484 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1538733376.484 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1538733376.484 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.484 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.484 * [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1538733376.484 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538733376.484 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.485 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.485 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.485 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.485 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.485 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.485 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.485 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1538733376.485 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1538733376.485 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1538733376.485 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733376.485 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.485 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.485 * [misc]backup-simplify:  Simplify PI into PI
1538733376.485 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.486 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733376.486 * [misc]taylor:  Taking taylor expansion of (log n) in k
1538733376.486 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.486 * [misc]backup-simplify:  Simplify n into n
1538733376.486 * [misc]backup-simplify:  Simplify (log n) into (log n)
1538733376.486 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.486 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1538733376.487 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1538733376.488 * [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1538733376.488 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1538733376.489 * [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)))))
1538733376.490 * [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)))))
1538733376.491 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733376.492 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733376.495 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538733376.495 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733376.495 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.495 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1538733376.496 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.497 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1538733376.499 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733376.499 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.499 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.499 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.499 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.500 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.501 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733376.507 * [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
1538733376.507 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733376.508 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.508 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1538733376.509 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.510 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1538733376.512 * [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
1538733376.513 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.513 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.513 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.513 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.513 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.514 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.516 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733376.523 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1538733376.523 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1538733376.523 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.524 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1538733376.524 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.525 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1538733376.527 * [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
1538733376.527 * [misc]taylor:  Taking taylor expansion of 0 in k
1538733376.527 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.527 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.528 * [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))))))
1538733376.528 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
1538733376.528 * [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1538733376.528 * [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1538733376.528 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733376.528 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.528 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.528 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.528 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.528 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.528 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.529 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.529 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733376.529 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.529 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.529 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.529 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.529 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.529 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.529 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.529 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.529 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.530 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733376.530 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733376.530 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.530 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.531 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733376.531 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.531 * [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))))))
1538733376.531 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1538733376.531 * [misc]approximate:  Taking taylor expansion of (sqrt k) in (k) around 0
1538733376.531 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733376.531 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.531 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.531 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.532 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.532 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.532 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733376.532 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.532 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.532 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.532 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.532 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.532 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.532 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.533 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733376.533 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.534 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733376.534 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.536 * [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))))))))
1538733376.536 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1538733376.536 * [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1538733376.536 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1538733376.536 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733376.536 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733376.536 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733376.536 * [misc]backup-simplify:  Simplify -1 into -1
1538733376.536 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.536 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.536 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.536 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733376.536 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.537 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733376.537 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1538733376.537 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1538733376.537 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733376.537 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733376.537 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733376.537 * [misc]backup-simplify:  Simplify -1 into -1
1538733376.537 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.537 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.537 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.537 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733376.537 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.537 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733376.538 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1538733376.538 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.538 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538733376.538 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733376.539 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1538733376.539 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538733376.539 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.540 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733376.541 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1538733376.541 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1538733376.541 * [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)))))
1538733376.541 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
1538733376.542 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538733376.542 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1538733376.542 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.542 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.542 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.542 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.542 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.542 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.542 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.542 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.542 * [misc]backup-simplify:  Simplify PI into PI
1538733376.542 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.542 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.542 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.542 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.542 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.542 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.542 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.542 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.542 * [misc]backup-simplify:  Simplify PI into PI
1538733376.542 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.542 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733376.542 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.543 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.543 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733376.543 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.544 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733376.545 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733376.545 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.546 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733376.547 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1538733376.547 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.548 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733376.549 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1538733376.549 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.551 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733376.553 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1538733376.553 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.557 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733376.561 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1538733376.561 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.565 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1538733376.570 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1538733376.570 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.570 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1538733376.570 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
1538733376.570 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1538733376.571 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.571 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.571 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.571 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.571 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.571 * [misc]backup-simplify:  Simplify PI into PI
1538733376.571 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.571 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.571 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.571 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.571 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.571 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.571 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.571 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.571 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.571 * [misc]backup-simplify:  Simplify PI into PI
1538733376.571 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.571 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.571 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.572 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.572 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.572 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.574 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733376.574 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733376.574 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.576 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.577 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733376.577 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.579 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.581 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733376.581 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.583 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.584 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733376.584 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.586 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.587 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733376.587 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.589 * [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
1538733376.591 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733376.591 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.591 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1538733376.592 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
1538733376.592 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1538733376.592 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.592 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.592 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.592 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.592 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.592 * [misc]backup-simplify:  Simplify PI into PI
1538733376.592 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.592 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.592 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.592 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.592 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.592 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.592 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.592 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.592 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.592 * [misc]backup-simplify:  Simplify PI into PI
1538733376.592 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.592 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.592 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.592 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.593 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.593 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.593 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733376.594 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733376.594 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.595 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.596 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1538733376.596 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.597 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.598 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733376.598 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.599 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.600 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1538733376.600 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.602 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.603 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1538733376.603 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.605 * [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
1538733376.607 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1538733376.607 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.607 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1538733376.607 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1538733376.608 * [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)))
1538733376.608 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
1538733376.608 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.608 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.608 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.608 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.608 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.608 * [misc]backup-simplify:  Simplify k into k
1538733376.608 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.608 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.608 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.608 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.608 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.608 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.608 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.608 * [misc]backup-simplify:  Simplify PI into PI
1538733376.608 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.608 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733376.609 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.609 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733376.610 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.610 * [misc]backup-simplify:  Simplify (- k) into (- k)
1538733376.610 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1538733376.610 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1538733376.610 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.611 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1538733376.611 * [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))))))
1538733376.611 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1538733376.611 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.611 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.611 * [misc]backup-simplify:  Simplify k into k
1538733376.611 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.611 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1538733376.611 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733376.611 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1538733376.611 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1538733376.611 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1538733376.611 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1538733376.611 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1538733376.611 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1538733376.611 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.611 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.611 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538733376.611 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.611 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.611 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.612 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.612 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.612 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733376.612 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733376.612 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.612 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.612 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733376.612 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.612 * [misc]backup-simplify:  Simplify n into n
1538733376.612 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.612 * [misc]backup-simplify:  Simplify PI into PI
1538733376.612 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733376.612 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733376.612 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733376.612 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.612 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.612 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733376.612 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733376.612 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733376.612 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733376.612 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.612 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.613 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.613 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.613 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.613 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.613 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.613 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.613 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.613 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.613 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.613 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.613 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.613 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.613 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.613 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.613 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1538733376.613 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.613 * [misc]backup-simplify:  Simplify n into n
1538733376.613 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.613 * [misc]backup-simplify:  Simplify PI into PI
1538733376.613 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1538733376.613 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1538733376.614 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1538733376.614 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.614 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.614 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733376.614 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1538733376.614 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1538733376.614 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1538733376.614 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.614 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.614 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.614 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.614 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.614 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.615 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.615 * [misc]backup-simplify:  Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
1538733376.615 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733376.615 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.615 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.615 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1538733376.616 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1538733376.616 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1538733376.616 * [misc]backup-simplify:  Simplify (- 1) into -1
1538733376.616 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538733376.617 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1538733376.617 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1538733376.617 * [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)))))
1538733376.618 * [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)))))
1538733376.618 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538733376.618 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733376.618 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.618 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.618 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733376.618 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733376.618 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.618 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.618 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733376.618 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733376.618 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733376.618 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.618 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.618 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.618 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.618 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.618 * [misc]backup-simplify:  Simplify PI into PI
1538733376.619 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.619 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.619 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.619 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733376.620 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733376.620 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733376.620 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.620 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.620 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.620 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1538733376.621 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733376.621 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1538733376.621 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1538733376.623 * [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
1538733376.623 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.623 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.623 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1538733376.624 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1538733376.626 * [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)))
1538733376.629 * [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)))))))
1538733376.629 * [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
1538733376.629 * [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
1538733376.629 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538733376.629 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.629 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.629 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538733376.629 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538733376.629 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733376.629 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.629 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.629 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733376.630 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733376.630 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733376.630 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.630 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.630 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.630 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.630 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.630 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.630 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.630 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.630 * [misc]backup-simplify:  Simplify PI into PI
1538733376.630 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.630 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733376.631 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.632 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733376.632 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.633 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733376.633 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.633 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.633 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.633 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.633 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.633 * [misc]backup-simplify:  Simplify PI into PI
1538733376.633 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.634 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.634 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.634 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733376.634 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1538733376.634 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733376.634 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.635 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.635 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733376.635 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733376.635 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.635 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.635 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733376.635 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733376.635 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733376.635 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.635 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.635 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.635 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.635 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.635 * [misc]backup-simplify:  Simplify PI into PI
1538733376.636 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.636 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.636 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.637 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733376.638 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.639 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538733376.640 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538733376.640 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733376.640 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733376.640 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733376.640 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.640 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.641 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.641 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.642 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733376.644 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733376.648 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733376.649 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733376.649 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.649 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.650 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733376.652 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1538733376.652 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1538733376.656 * [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
1538733376.657 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.657 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.657 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
1538733376.658 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1538733376.661 * [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)))
1538733376.666 * [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)))))))))
1538733376.666 * [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
1538733376.666 * [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
1538733376.666 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1538733376.666 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.666 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.666 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1538733376.666 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1538733376.666 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733376.667 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.667 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.667 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733376.667 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733376.667 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733376.667 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.667 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.667 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.667 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.667 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.667 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.667 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.667 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.668 * [misc]backup-simplify:  Simplify PI into PI
1538733376.668 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.668 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733376.669 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.669 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733376.670 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.670 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733376.670 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.670 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.670 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.670 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.670 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.670 * [misc]backup-simplify:  Simplify PI into PI
1538733376.671 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.671 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.671 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.672 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733376.672 * [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
1538733376.672 * [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
1538733376.672 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1538733376.672 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.672 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.672 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1538733376.672 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733376.672 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.672 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.672 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733376.672 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733376.672 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733376.672 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.672 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.672 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.672 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.672 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.672 * [misc]backup-simplify:  Simplify PI into PI
1538733376.672 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.673 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.673 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.673 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733376.673 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
1538733376.673 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1538733376.673 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.673 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.673 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1538733376.673 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1538733376.673 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1538733376.673 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.673 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.674 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1538733376.674 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1538733376.674 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1538733376.674 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1538733376.674 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1538733376.674 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.674 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.674 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.674 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.674 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.674 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.674 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.674 * [misc]backup-simplify:  Simplify PI into PI
1538733376.674 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.674 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1538733376.675 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.675 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1538733376.675 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.676 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.676 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1538733376.676 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1538733376.676 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.676 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.676 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.676 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.676 * [misc]backup-simplify:  Simplify PI into PI
1538733376.676 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1538733376.677 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1538733376.677 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.677 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1538733376.678 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.678 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1538733376.679 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1538733376.679 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733376.679 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1538733376.679 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733376.680 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.680 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.681 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1538733376.682 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1538733376.683 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1538733376.683 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1538733376.683 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.683 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.683 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.683 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.683 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.683 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.684 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733376.685 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1538733376.687 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733376.687 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1538733376.688 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1538733376.689 * [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))))))))
1538733376.690 * [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))))))))
1538733376.691 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733376.693 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733376.693 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1538733376.696 * [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))))))))))
1538733376.698 * [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)))))))
1538733376.700 * [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)))))))
1538733376.701 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1538733376.703 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1538733376.703 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1538733376.705 * [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))))
1538733376.708 * [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))))
1538733376.709 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538733376.710 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1538733376.716 * [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)))))))))))))
1538733376.716 * [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))
1538733376.716 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
1538733376.716 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.716 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.716 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.716 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.716 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.716 * [misc]backup-simplify:  Simplify k into k
1538733376.716 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.716 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.716 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.716 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.716 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.716 * [misc]backup-simplify:  Simplify PI into PI
1538733376.717 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.717 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.717 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.717 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.717 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.717 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.717 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538733376.717 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538733376.717 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1538733376.718 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.718 * [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))))
1538733376.719 * [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)))))
1538733376.719 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1538733376.719 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.719 * [misc]backup-simplify:  Simplify k into k
1538733376.719 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1538733376.719 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1538733376.719 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.719 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.719 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.719 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.719 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.719 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.719 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.719 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.719 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.719 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.719 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733376.719 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.720 * [misc]backup-simplify:  Simplify PI into PI
1538733376.720 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.720 * [misc]backup-simplify:  Simplify n into n
1538733376.720 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733376.720 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733376.720 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733376.720 * [misc]backup-simplify:  Simplify (- 1) into -1
1538733376.720 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538733376.720 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1538733376.720 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733376.720 * [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))))))
1538733376.720 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733376.720 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.720 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.720 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.721 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.721 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.721 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.721 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.721 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.721 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.721 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.721 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.721 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.721 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.721 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of 2 in k
1538733376.721 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.721 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733376.721 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.721 * [misc]backup-simplify:  Simplify PI into PI
1538733376.721 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.721 * [misc]backup-simplify:  Simplify n into n
1538733376.721 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733376.722 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1538733376.722 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1538733376.722 * [misc]backup-simplify:  Simplify (- 1) into -1
1538733376.722 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1538733376.722 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1538733376.722 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1538733376.722 * [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))))))
1538733376.722 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1538733376.722 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.722 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.722 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.722 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.723 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1538733376.723 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
1538733376.723 * [misc]taylor:  Taking taylor expansion of 0 in n
1538733376.723 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.723 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.723 * [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))))))))
1538733376.723 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1538733376.723 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1538733376.723 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.723 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.723 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1538733376.723 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1538733376.724 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.724 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.724 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1538733376.724 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538733376.724 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.724 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.724 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.724 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.724 * [misc]backup-simplify:  Simplify k into k
1538733376.724 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.724 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733376.724 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.724 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.724 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.724 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.724 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.724 * [misc]backup-simplify:  Simplify PI into PI
1538733376.724 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.724 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.724 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.724 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.724 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.725 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.725 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538733376.725 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538733376.725 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.726 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1538733376.726 * [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))))
1538733376.727 * [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)))))
1538733376.727 * [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))))))
1538733376.728 * [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)))))))
1538733376.728 * [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)))))))
1538733376.728 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.729 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733376.729 * [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))))))))
1538733376.729 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1538733376.729 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1538733376.729 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.729 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.729 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1538733376.729 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1538733376.729 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.730 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.730 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1538733376.730 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538733376.730 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.730 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.730 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.730 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.730 * [misc]backup-simplify:  Simplify k into k
1538733376.730 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.730 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733376.730 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.730 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.730 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.730 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.730 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.730 * [misc]backup-simplify:  Simplify PI into PI
1538733376.730 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.730 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.730 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.730 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.730 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.731 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.731 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538733376.731 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538733376.731 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.732 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1538733376.732 * [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))))
1538733376.733 * [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)))))
1538733376.733 * [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))))))
1538733376.734 * [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)))))))
1538733376.735 * [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)))))))
1538733376.735 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733376.736 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1538733376.738 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1538733376.738 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733376.738 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.738 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.738 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.739 * [misc]backup-simplify:  Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1538733376.739 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
1538733376.740 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733376.742 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
1538733376.743 * [misc]backup-simplify:  Simplify (- 0) into 0
1538733376.743 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.743 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.743 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733376.744 * [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))))))))
1538733376.744 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.744 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.744 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.744 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.744 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.744 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.744 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.744 * [misc]backup-simplify:  Simplify k into k
1538733376.744 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.744 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of 2 in n
1538733376.744 * [misc]backup-simplify:  Simplify 2 into 2
1538733376.744 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.744 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.744 * [misc]backup-simplify:  Simplify PI into PI
1538733376.744 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.744 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.744 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.745 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.745 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1538733376.745 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1538733376.745 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1538733376.745 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1538733376.746 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1538733376.746 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1538733376.747 * [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))))
1538733376.747 * [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)))))
1538733376.747 * [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))))))
1538733376.748 * [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)))))))
1538733376.748 * [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)))))))
1538733376.751 * [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))))))))
1538733376.751 * [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)))
1538733376.751 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
1538733376.751 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1538733376.751 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1538733376.751 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1538733376.751 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1538733376.751 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1538733376.751 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.751 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.751 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538733376.751 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.751 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.751 * [misc]backup-simplify:  Simplify k into k
1538733376.751 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.751 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.751 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.752 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733376.752 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.752 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.752 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.752 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.752 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.752 * [misc]backup-simplify:  Simplify PI into PI
1538733376.752 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.752 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.752 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.752 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.752 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.752 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733376.753 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538733376.753 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1538733376.753 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.753 * [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))))
1538733376.754 * [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)))))
1538733376.754 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1538733376.754 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1538733376.754 * [misc]taylor:  Taking taylor expansion of -1 in n
1538733376.754 * [misc]backup-simplify:  Simplify -1 into -1
1538733376.754 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.754 * [misc]backup-simplify:  Simplify k into k
1538733376.754 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1538733376.754 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1538733376.754 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1538733376.754 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1538733376.755 * [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)))
1538733376.755 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.755 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.755 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.755 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.755 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.755 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.755 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.755 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.755 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733376.755 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.755 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733376.755 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.755 * [misc]backup-simplify:  Simplify PI into PI
1538733376.755 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.755 * [misc]backup-simplify:  Simplify n into n
1538733376.755 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733376.755 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733376.756 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733376.756 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.756 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733376.756 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733376.756 * [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))))
1538733376.756 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733376.756 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733376.756 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733376.756 * [misc]backup-simplify:  Simplify -1 into -1
1538733376.756 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.756 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.756 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.756 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733376.756 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.757 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733376.757 * [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)))))
1538733376.757 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1538733376.757 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.757 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.757 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.757 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.757 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1538733376.757 * [misc]taylor:  Taking taylor expansion of 1 in k
1538733376.757 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.757 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of -2 in k
1538733376.757 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.757 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1538733376.757 * [misc]taylor:  Taking taylor expansion of PI in k
1538733376.757 * [misc]backup-simplify:  Simplify PI into PI
1538733376.757 * [misc]taylor:  Taking taylor expansion of n in k
1538733376.757 * [misc]backup-simplify:  Simplify n into n
1538733376.757 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1538733376.757 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1538733376.758 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1538733376.758 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1538733376.758 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1538733376.758 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1538733376.758 * [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))))
1538733376.758 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1538733376.758 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1538733376.758 * [misc]taylor:  Taking taylor expansion of -1 in k
1538733376.758 * [misc]backup-simplify:  Simplify -1 into -1
1538733376.758 * [misc]taylor:  Taking taylor expansion of k in k
1538733376.758 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.758 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.758 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1538733376.758 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1538733376.759 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1538733376.759 * [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)))))
1538733376.759 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1538733376.759 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.759 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.759 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1538733376.759 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1538733376.759 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.759 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.759 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1538733376.759 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733376.759 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.759 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.759 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.759 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.759 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.759 * [misc]backup-simplify:  Simplify PI into PI
1538733376.759 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.759 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.759 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.760 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.760 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.760 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733376.760 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538733376.760 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.761 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.761 * [misc]backup-simplify:  Simplify k into k
1538733376.761 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.761 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.761 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.761 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.761 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538733376.762 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1538733376.763 * [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))))
1538733376.764 * [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)))))
1538733376.765 * [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))))))
1538733376.765 * [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))))))
1538733376.766 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1538733376.767 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1538733376.768 * [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))))))
1538733376.768 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.768 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.768 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.768 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.768 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.768 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.768 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.768 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.768 * [misc]backup-simplify:  Simplify PI into PI
1538733376.768 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.768 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.768 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.768 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.769 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.769 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733376.769 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538733376.769 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.769 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.769 * [misc]backup-simplify:  Simplify k into k
1538733376.769 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.770 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.770 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.770 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.770 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538733376.771 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1538733376.772 * [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))))
1538733376.773 * [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)))))
1538733376.773 * [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))))))
1538733376.774 * [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)))))))
1538733376.775 * [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)))))))
1538733376.776 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.776 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1538733376.776 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1538733376.777 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1538733376.778 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1538733376.781 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1538733376.783 * [misc]backup-simplify:  Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
1538733376.784 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
1538733376.785 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1538733376.786 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
1538733376.786 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.787 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1538733376.788 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1538733376.789 * [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))))))
1538733376.790 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1538733376.790 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1538733376.790 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1538733376.790 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1538733376.790 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of -2 in n
1538733376.790 * [misc]backup-simplify:  Simplify -2 into -2
1538733376.790 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1538733376.790 * [misc]taylor:  Taking taylor expansion of PI in n
1538733376.790 * [misc]backup-simplify:  Simplify PI into PI
1538733376.790 * [misc]taylor:  Taking taylor expansion of n in n
1538733376.790 * [misc]backup-simplify:  Simplify 0 into 0
1538733376.790 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.791 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1538733376.791 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1538733376.792 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1538733376.792 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1538733376.792 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1538733376.792 * [misc]taylor:  Taking taylor expansion of k in n
1538733376.792 * [misc]backup-simplify:  Simplify k into k
1538733376.792 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1538733376.792 * [misc]taylor:  Taking taylor expansion of 1 in n
1538733376.792 * [misc]backup-simplify:  Simplify 1 into 1
1538733376.793 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1538733376.793 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1538733376.793 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1538733376.794 * [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))))
1538733376.795 * [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)))))
1538733376.796 * [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))))))
1538733376.797 * [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)))))))
1538733376.797 * [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)))))))
1538733376.801 * [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))))))))))))
1538733376.801 * * * [misc]progress:  simplifying candidates
1538733376.801 * * * * [misc]progress:  [ 1 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733376.801 * * * * [misc]progress:  [ 2 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733376.801 * * * * [misc]progress:  [ 3 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538733376.801 * [enter]simplify:  Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
1538733376.803 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733376.810 * * [misc]simplify:  iters left: 5 (29 enodes)
1538733376.821 * * [misc]simplify:  iters left: 4 (59 enodes)
1538733376.839 * * [misc]simplify:  iters left: 3 (146 enodes)
1538733376.977 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
1538733376.977 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))))))
1538733376.978 * * * * [misc]progress:  [ 4 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538733376.978 * * * * [misc]progress:  [ 5 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
1538733376.978 * [enter]simplify:  Simplifying (* (* 2 PI) n)
1538733376.978 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733376.980 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733376.982 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733376.984 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733376.987 * [exit]simplify:  Simplified to (* (* 2 PI) n)
1538733376.987 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))
1538733376.987 * * * * [misc]progress:  [ 6 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
1538733376.987 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ k 2))
1538733376.988 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733376.990 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733376.992 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733376.996 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733377.001 * [exit]simplify:  Simplified to (pow (* 2 (* n PI)) (/ k 2))
1538733377.001 * [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)))))
1538733377.001 * * * * [misc]progress:  [ 7 / 88 ] 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)))))>
1538733377.001 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1538733377.001 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733377.004 * * [misc]simplify:  iters left: 4 (14 enodes)
1538733377.006 * * [misc]simplify:  iters left: 3 (17 enodes)
1538733377.008 * * [misc]simplify:  iters left: 2 (19 enodes)
1538733377.011 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1538733377.011 * [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)))))
1538733377.011 * * * * [misc]progress:  [ 8 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
1538733377.011 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1538733377.011 * * [misc]simplify:  iters left: 5 (6 enodes)
1538733377.013 * * [misc]simplify:  iters left: 4 (14 enodes)
1538733377.016 * * [misc]simplify:  iters left: 3 (17 enodes)
1538733377.018 * * [misc]simplify:  iters left: 2 (19 enodes)
1538733377.021 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1538733377.021 * [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)))))
1538733377.021 * * * * [misc]progress:  [ 9 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
1538733377.021 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1538733377.021 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733377.023 * * [misc]simplify:  iters left: 3 (13 enodes)
1538733377.025 * * [misc]simplify:  iters left: 2 (16 enodes)
1538733377.027 * * [misc]simplify:  iters left: 1 (18 enodes)
1538733377.030 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1538733377.030 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))
1538733377.030 * * * * [misc]progress:  [ 10 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
1538733377.030 * [enter]simplify:  Simplifying (/ 1 2)
1538733377.030 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733377.031 * * [misc]simplify:  iters left: 1 (6 enodes)
1538733377.032 * [exit]simplify:  Simplified to 1/2
1538733377.032 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2)))
1538733377.032 * * * * [misc]progress:  [ 11 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
1538733377.032 * [enter]simplify:  Simplifying (pow (* 2 PI) (/ (- 1 k) 2))
1538733377.032 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733377.035 * * [misc]simplify:  iters left: 4 (17 enodes)
1538733377.038 * * [misc]simplify:  iters left: 3 (20 enodes)
1538733377.042 * * [misc]simplify:  iters left: 2 (22 enodes)
1538733377.048 * [exit]simplify:  Simplified to (pow (* 2 PI) (- 1/2 (/ k 2)))
1538733377.048 * [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)))))
1538733377.048 * * * * [misc]progress:  [ 12 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
1538733377.048 * * * * [misc]progress:  [ 13 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733377.048 * * * * [misc]progress:  [ 14 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733377.048 * * * * [misc]progress:  [ 15 / 88 ] 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))))))>
1538733377.048 * * * * [misc]progress:  [ 16 / 88 ] 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))))))>
1538733377.048 * * * * [misc]progress:  [ 17 / 88 ] 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))))))>
1538733377.049 * * * * [misc]progress:  [ 18 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538733377.049 * * * * [misc]progress:  [ 19 / 88 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.049 * * * * [misc]progress:  [ 20 / 88 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.049 * * * * [misc]progress:  [ 21 / 88 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.049 * * * * [misc]progress:  [ 22 / 88 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.049 * [enter]simplify:  Simplifying (- 1/2)
1538733377.049 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733377.051 * * [misc]simplify:  iters left: 1 (3 enodes)
1538733377.052 * [exit]simplify:  Simplified to -1/2
1538733377.052 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733377.052 * * * * [misc]progress:  [ 23 / 88 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.052 * [enter]simplify:  Simplifying (- 1)
1538733377.052 * * [misc]simplify:  iters left: 2 (2 enodes)
1538733377.054 * * [misc]simplify:  iters left: 1 (5 enodes)
1538733377.055 * [exit]simplify:  Simplified to -1
1538733377.055 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733377.055 * * * * [misc]progress:  [ 24 / 88 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 25 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 26 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 27 / 88 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 28 / 88 ] 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))))>
1538733377.055 * * * * [misc]progress:  [ 29 / 88 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 30 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 31 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 32 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.055 * * * * [misc]progress:  [ 33 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.056 * * * * [misc]progress:  [ 34 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.056 * * * * [misc]progress:  [ 35 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.056 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1538733377.056 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733377.057 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1538733377.057 * [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))))
1538733377.057 * * * * [misc]progress:  [ 36 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.058 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1538733377.058 * * [misc]simplify:  iters left: 2 (3 enodes)
1538733377.059 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1538733377.059 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733377.059 * * * * [misc]progress:  [ 37 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733377.059 * [enter]simplify:  Simplifying (sqrt k)
1538733377.060 * * [misc]simplify:  iters left: 1 (2 enodes)
1538733377.060 * [exit]simplify:  Simplified to (sqrt k)
1538733377.060 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733377.060 * * * * [misc]progress:  [ 38 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 39 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 40 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 41 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 42 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 43 / 88 ] 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))))>
1538733377.061 * * * * [misc]progress:  [ 44 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 45 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 46 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 47 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 48 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
1538733377.061 * * * * [misc]progress:  [ 49 / 88 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733377.061 * * * * [misc]progress:  [ 50 / 88 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733377.061 * * * * [misc]progress:  [ 51 / 88 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
1538733377.061 * * * * [misc]progress:  [ 52 / 88 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538733377.062 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538733377.063 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733377.072 * * [misc]simplify:  iters left: 5 (34 enodes)
1538733377.089 * * [misc]simplify:  iters left: 4 (67 enodes)
1538733377.132 * * [misc]simplify:  iters left: 3 (165 enodes)
1538733377.353 * [exit]simplify:  Simplified to (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1538733377.353 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1538733377.353 * * * * [misc]progress:  [ 53 / 88 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538733377.354 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538733377.355 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733377.360 * * [misc]simplify:  iters left: 5 (34 enodes)
1538733377.369 * * [misc]simplify:  iters left: 4 (67 enodes)
1538733377.410 * * [misc]simplify:  iters left: 3 (165 enodes)
1538733377.590 * [exit]simplify:  Simplified to (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1538733377.590 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1538733377.590 * * * * [misc]progress:  [ 54 / 88 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733377.590 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733377.592 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733377.600 * * [misc]simplify:  iters left: 5 (30 enodes)
1538733377.616 * * [misc]simplify:  iters left: 4 (51 enodes)
1538733377.640 * * [misc]simplify:  iters left: 3 (99 enodes)
1538733377.698 * * [misc]simplify:  iters left: 2 (301 enodes)
1538733378.119 * [exit]simplify:  Simplified to (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (- (log (sqrt k))))
1538733378.119 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (- (log (sqrt k))))))
1538733378.119 * * * * [misc]progress:  [ 55 / 88 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538733378.120 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538733378.121 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733378.134 * * [misc]simplify:  iters left: 5 (38 enodes)
1538733378.151 * * [misc]simplify:  iters left: 4 (71 enodes)
1538733378.181 * * [misc]simplify:  iters left: 3 (173 enodes)
1538733378.447 * [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k))))
1538733378.448 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k))))))
1538733378.448 * * * * [misc]progress:  [ 56 / 88 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1538733378.448 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1538733378.450 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733378.460 * * [misc]simplify:  iters left: 5 (38 enodes)
1538733378.477 * * [misc]simplify:  iters left: 4 (71 enodes)
1538733378.521 * * [misc]simplify:  iters left: 3 (173 enodes)
1538733378.768 * [exit]simplify:  Simplified to (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k))))
1538733378.768 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k))))))
1538733378.768 * * * * [misc]progress:  [ 57 / 88 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733378.768 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733378.770 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733378.779 * * [misc]simplify:  iters left: 5 (34 enodes)
1538733378.793 * * [misc]simplify:  iters left: 4 (55 enodes)
1538733378.817 * * [misc]simplify:  iters left: 3 (107 enodes)
1538733378.891 * * [misc]simplify:  iters left: 2 (347 enodes)
1538733379.479 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k))))
1538733379.479 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k))))))
1538733379.479 * * * * [misc]progress:  [ 58 / 88 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733379.480 * * * * [misc]progress:  [ 59 / 88 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1538733379.480 * * * * [misc]progress:  [ 60 / 88 ] 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))))))>
1538733379.480 * [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))))
1538733379.482 * * [misc]simplify:  iters left: 6 (17 enodes)
1538733379.493 * * [misc]simplify:  iters left: 5 (42 enodes)
1538733379.519 * * [misc]simplify:  iters left: 4 (98 enodes)
1538733379.575 * * [misc]simplify:  iters left: 3 (175 enodes)
1538733379.640 * * [misc]simplify:  iters left: 2 (325 enodes)
1538733379.841 * * [misc]simplify:  iters left: 1 (454 enodes)
1538733380.125 * [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)))
1538733380.125 * [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)))))
1538733380.125 * * * * [misc]progress:  [ 61 / 88 ] 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))))))>
1538733380.125 * * * * [misc]progress:  [ 62 / 88 ] 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))))))>
1538733380.125 * * * * [misc]progress:  [ 63 / 88 ] 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))))))>
1538733380.126 * * * * [misc]progress:  [ 64 / 88 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
1538733380.126 * [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
1538733380.127 * * [misc]simplify:  iters left: 6 (9 enodes)
1538733380.132 * * [misc]simplify:  iters left: 5 (17 enodes)
1538733380.140 * * [misc]simplify:  iters left: 4 (26 enodes)
1538733380.145 * * [misc]simplify:  iters left: 3 (27 enodes)
1538733380.149 * [exit]simplify:  Simplified to (sqrt (* PI (* 2 n)))
1538733380.149 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))
1538733380.149 * [enter]simplify:  Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
1538733380.150 * * [misc]simplify:  iters left: 6 (10 enodes)
1538733380.152 * * [misc]simplify:  iters left: 5 (15 enodes)
1538733380.155 * * [misc]simplify:  iters left: 4 (21 enodes)
1538733380.159 * * [misc]simplify:  iters left: 3 (22 enodes)
1538733380.162 * [exit]simplify:  Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k))
1538733380.162 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k))))
1538733380.163 * * * * [misc]progress:  [ 65 / 88 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538733380.163 * * * * [misc]progress:  [ 66 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1538733380.163 * [enter]simplify:  Simplifying (pow n (/ (- 1 k) 2))
1538733380.163 * * [misc]simplify:  iters left: 5 (7 enodes)
1538733380.166 * * [misc]simplify:  iters left: 4 (15 enodes)
1538733380.168 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733380.170 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733380.176 * [exit]simplify:  Simplified to (pow n (- 1/2 (/ k 2)))
1538733380.176 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (- 1/2 (/ k 2)))))
1538733380.176 * * * * [misc]progress:  [ 67 / 88 ] 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)))))>
1538733380.176 * [enter]simplify:  Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538733380.177 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733380.184 * * [misc]simplify:  iters left: 5 (23 enodes)
1538733380.192 * * [misc]simplify:  iters left: 4 (32 enodes)
1538733380.202 * * [misc]simplify:  iters left: 3 (35 enodes)
1538733380.215 * [exit]simplify:  Simplified to (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
1538733380.215 * [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)))))
1538733380.215 * * * * [misc]progress:  [ 68 / 88 ] 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)))))>
1538733380.215 * [enter]simplify:  Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538733380.216 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733380.223 * * [misc]simplify:  iters left: 5 (23 enodes)
1538733380.232 * * [misc]simplify:  iters left: 4 (32 enodes)
1538733380.242 * * [misc]simplify:  iters left: 3 (35 enodes)
1538733380.253 * [exit]simplify:  Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))
1538733380.253 * [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)))))
1538733380.253 * * * * [misc]progress:  [ 69 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733380.253 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2))
1538733380.254 * * [misc]simplify:  iters left: 5 (10 enodes)
1538733380.260 * * [misc]simplify:  iters left: 4 (22 enodes)
1538733380.269 * * [misc]simplify:  iters left: 3 (31 enodes)
1538733380.278 * * [misc]simplify:  iters left: 2 (34 enodes)
1538733380.288 * [exit]simplify:  Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2))
1538733380.288 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
1538733380.288 * * * * [misc]progress:  [ 70 / 88 ] 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)))))>
1538733380.289 * [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1538733380.289 * * [misc]simplify:  iters left: 6 (6 enodes)
1538733380.292 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733380.295 * [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1538733380.295 * [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)))))
1538733380.295 * * * * [misc]progress:  [ 71 / 88 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538733380.295 * [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
1538733380.296 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733380.298 * * [misc]simplify:  iters left: 3 (7 enodes)
1538733380.300 * [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
1538733380.300 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
1538733380.300 * * * * [misc]progress:  [ 72 / 88 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538733380.300 * * * * [misc]progress:  [ 73 / 88 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1538733380.300 * * * * [misc]progress:  [ 74 / 88 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
1538733380.300 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ k 2))
1538733380.301 * * [misc]simplify:  iters left: 5 (8 enodes)
1538733380.305 * * [misc]simplify:  iters left: 4 (12 enodes)
1538733380.310 * * [misc]simplify:  iters left: 3 (18 enodes)
1538733380.316 * * [misc]simplify:  iters left: 2 (20 enodes)
1538733380.323 * [exit]simplify:  Simplified to (pow (* 2 (* n PI)) (/ k 2))
1538733380.323 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2))))
1538733380.323 * * * * [misc]progress:  [ 75 / 88 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
1538733380.323 * [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538733380.324 * * [misc]simplify:  iters left: 6 (11 enodes)
1538733380.331 * * [misc]simplify:  iters left: 5 (24 enodes)
1538733380.341 * * [misc]simplify:  iters left: 4 (35 enodes)
1538733380.353 * * [misc]simplify:  iters left: 3 (38 enodes)
1538733380.363 * [exit]simplify:  Simplified to (pow (* (* n PI) 2) (- 1/2 (/ k 2)))
1538733380.363 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (sqrt k)))
1538733380.363 * * * * [misc]progress:  [ 76 / 88 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1538733380.363 * * * * [misc]progress:  [ 77 / 88 ] 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)))))))>
1538733380.364 * [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)))))
1538733380.368 * * [misc]simplify:  iters left: 6 (37 enodes)
1538733380.395 * * [misc]simplify:  iters left: 5 (108 enodes)
1538733380.463 * * [misc]simplify:  iters left: 4 (368 enodes)
1538733381.198 * [exit]simplify:  Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))
1538733381.199 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))))
1538733381.199 * * * * [misc]progress:  [ 78 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1538733381.199 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1538733381.201 * * [misc]simplify:  iters left: 6 (15 enodes)
1538733381.211 * * [misc]simplify:  iters left: 5 (35 enodes)
1538733381.234 * * [misc]simplify:  iters left: 4 (72 enodes)
1538733381.293 * * [misc]simplify:  iters left: 3 (240 enodes)
1538733381.628 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n)))
1538733381.628 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n)))))
1538733381.628 * * * * [misc]progress:  [ 79 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1538733381.628 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1538733381.629 * * [misc]simplify:  iters left: 6 (16 enodes)
1538733381.637 * * [misc]simplify:  iters left: 5 (35 enodes)
1538733381.649 * * [misc]simplify:  iters left: 4 (76 enodes)
1538733381.705 * * [misc]simplify:  iters left: 3 (278 enodes)
1538733382.133 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))
1538733382.133 * [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))))))
1538733382.133 * * * * [misc]progress:  [ 80 / 88 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1538733382.133 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1538733382.133 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733382.133 * * * * [misc]progress:  [ 81 / 88 ] 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))))>
1538733382.133 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1538733382.133 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733382.134 * * * * [misc]progress:  [ 82 / 88 ] 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))))>
1538733382.134 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1538733382.134 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733382.134 * * * * [misc]progress:  [ 83 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1538733382.134 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733382.135 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733382.137 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733382.141 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733382.147 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733382.154 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733382.154 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1538733382.154 * * * * [misc]progress:  [ 84 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1538733382.155 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733382.155 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733382.158 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733382.162 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733382.167 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733382.173 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733382.173 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1538733382.173 * * * * [misc]progress:  [ 85 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1538733382.173 * [enter]simplify:  Simplifying (* 2 (* n PI))
1538733382.174 * * [misc]simplify:  iters left: 4 (5 enodes)
1538733382.176 * * [misc]simplify:  iters left: 3 (9 enodes)
1538733382.180 * * [misc]simplify:  iters left: 2 (15 enodes)
1538733382.185 * * [misc]simplify:  iters left: 1 (17 enodes)
1538733382.191 * [exit]simplify:  Simplified to (* (* PI n) 2)
1538733382.191 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1538733382.191 * * * * [misc]progress:  [ 86 / 88 ] 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))))))))))))))>
1538733382.191 * [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)))))))))))))
1538733382.191 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733382.191 * * * * [misc]progress:  [ 87 / 88 ] 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)))))))))>
1538733382.192 * [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))))))))
1538733382.192 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733382.192 * * * * [misc]progress:  [ 88 / 88 ] 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)))))))))))))>
1538733382.192 * [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))))))))))))
1538733382.192 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1538733382.192 * * * [misc]progress:  adding candidates to table
1538733383.879 * [misc]progress:  [Phase 3 of 3] Extracting.
1538733383.879 * * [misc]regime:  Finding splitpoints for: (#<alt (λ (k n) (* (/ 1 (sqrt k)) (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)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 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 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>)
1538733383.881 * * * [misc]regime-changes:  Trying 4 branch expressions: (n (* (* 2 PI) n) k (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1538733383.881 * * * * [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) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 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 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>)
1538733383.975 * * * * [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) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 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 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>)
1538733384.130 * * * * [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) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 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 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>)
1538733384.207 * * * * [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) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 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 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))> #<alt (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))>)
1538733384.361 * * * [misc]regime:  Found split indices: #<option (#s(si 3 256))>
1538733384.362 * [enter]simplify:  Simplifying (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1538733384.362 * * [misc]simplify:  iters left: 6 (13 enodes)
1538733384.364 * * [misc]simplify:  iters left: 5 (18 enodes)
1538733384.365 * [exit]simplify:  Simplified to (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2))
1538733384.365 * * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
1538733388.473 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733388.475 * * * * [misc]points:  Sampling 5990 additional inputs, on iter 1 have 2010 / 8000
1538733391.902 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733391.903 * * * * [misc]points:  Sampling 4480 additional inputs, on iter 2 have 3520 / 8000
1538733394.413 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733394.415 * * * * [misc]points:  Sampling 3365 additional inputs, on iter 3 have 4635 / 8000
1538733396.100 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733396.101 * * * * [misc]points:  Sampling 2592 additional inputs, on iter 4 have 5408 / 8000
1538733397.655 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733397.656 * * * * [misc]points:  Sampling 1941 additional inputs, on iter 5 have 6059 / 8000
1538733398.690 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733398.691 * * * * [misc]points:  Sampling 1488 additional inputs, on iter 6 have 6512 / 8000
1538733399.387 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733399.388 * * * * [misc]points:  Sampling 1133 additional inputs, on iter 7 have 6867 / 8000
1538733400.195 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733400.196 * * * * [misc]points:  Sampling 850 additional inputs, on iter 8 have 7150 / 8000
1538733400.603 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733400.603 * * * * [misc]points:  Sampling 624 additional inputs, on iter 9 have 7376 / 8000
1538733400.888 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733400.889 * * * * [misc]points:  Sampling 486 additional inputs, on iter 10 have 7514 / 8000
1538733401.133 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.133 * * * * [misc]points:  Sampling 379 additional inputs, on iter 11 have 7621 / 8000
1538733401.262 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.262 * * * * [misc]points:  Sampling 293 additional inputs, on iter 12 have 7707 / 8000
1538733401.375 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.375 * * * * [misc]points:  Sampling 225 additional inputs, on iter 13 have 7775 / 8000
1538733401.430 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.430 * * * * [misc]points:  Sampling 167 additional inputs, on iter 14 have 7833 / 8000
1538733401.507 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.507 * * * * [misc]points:  Sampling 130 additional inputs, on iter 15 have 7870 / 8000
1538733401.542 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.542 * * * * [misc]points:  Sampling 98 additional inputs, on iter 16 have 7902 / 8000
1538733401.568 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.568 * * * * [misc]points:  Sampling 78 additional inputs, on iter 17 have 7922 / 8000
1538733401.624 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.624 * * * * [misc]points:  Sampling 59 additional inputs, on iter 18 have 7941 / 8000
1538733401.640 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.640 * * * * [misc]points:  Sampling 45 additional inputs, on iter 19 have 7955 / 8000
1538733401.654 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.654 * * * * [misc]points:  Sampling 35 additional inputs, on iter 20 have 7965 / 8000
1538733401.669 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.669 * * * * [misc]points:  Sampling 23 additional inputs, on iter 21 have 7977 / 8000
1538733401.677 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.677 * * * * [misc]points:  Sampling 16 additional inputs, on iter 22 have 7984 / 8000
1538733401.683 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.683 * * * * [misc]points:  Sampling 11 additional inputs, on iter 23 have 7989 / 8000
1538733401.689 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.689 * * * * [misc]points:  Sampling 9 additional inputs, on iter 24 have 7991 / 8000
1538733401.694 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.694 * * * * [misc]points:  Sampling 7 additional inputs, on iter 25 have 7993 / 8000
1538733401.698 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733401.698 * * * * [misc]points:  Sampling 5 additional inputs, on iter 26 have 7995 / 8000
1538733402.024 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733402.024 * * * * [misc]points:  Sampling 4 additional inputs, on iter 27 have 7997 / 8000
1538733402.031 * * * * [misc]points:  Filtering points with unrepresentable outputs
1538733402.031 * * * * [exit]points:  Sampled 8000 points with exact outputs